Add exact inversion

[lilypond.git] / Documentation / notation / pitches.itely

@c -*- coding: utf-8; mode: texinfo; -*-
@ignore
   Translation of GIT committish: FILL-IN-HEAD-COMMITTISH

    When revising a translation, copy the HEAD committish of the
    version that you are working on.  For details, see the Contributors'
    Guide, node Updating translation committishes..
@end ignore

@c \version "2.13.36"


@node Pitches
@section Pitches

@lilypondfile[quote]{pitches-headword.ly}

This section discusses how to specify the pitch of notes.  There
are three steps to this process: input, modification, and output.

@menu
* Writing pitches::
* Changing multiple pitches::
* Displaying pitches::
* Note heads::
@end menu


@node Writing pitches
@subsection Writing pitches

This section discusses how to input pitches.  There are two
different ways to place notes in octaves: absolute and relative
mode.  In most cases, relative mode will be more convenient.

@menu
* Absolute octave entry::
* Relative octave entry::
* Accidentals::
* Note names in other languages::
@end menu


@node Absolute octave entry
@unnumberedsubsubsec Absolute octave entry

@cindex pitch names
@cindex pitches
@cindex absolute
@cindex absolute octave specification
@cindex octave specification, absolute
@cindex absolute octave entry
@cindex octave entry, absolute

A pitch name is specified using lowercase letters@tie{}@code{a}
through@tie{}@code{g}.  The note names @code{c} to @code{b} are
engraved in the octave below middle C.

@c don't use c' here.
@lilypond[verbatim,quote]
{
  \clef bass
  c4 d e f
  g4 a b c
  d4 e f g
}
@end lilypond

@cindex octave changing mark

@funindex '
@funindex ,

Other octaves may be specified with a single quote@tie{}(@code{'})
or comma@tie{}(@code{,}) character.  Each@tie{}@code{'} raises the
pitch by one octave; each@tie{}@code{,} lowers the pitch by an
octave.

@lilypond[verbatim,quote]
{
  \clef treble
  c'4 c'' e' g
  d''4 d' d c
  \clef bass
  c,4 c,, e, g
  d,,4 d, d c
}
@end lilypond


@seealso
Music Glossary:
@rglos{Pitch names}.

Snippets:
@rlsr{Pitches}.


@node Relative octave entry
@unnumberedsubsubsec Relative octave entry

@cindex relative
@cindex relative octave entry
@cindex octave entry, relative
@cindex relative octave specification
@cindex octave specification, relative

@funindex relative
@funindex \relative

When octaves are specified in absolute mode it is easy to
accidentally put a pitch in the wrong octave.  Relative octave
mode reduces these errors since most of the time it is not
necessary to indicate any octaves at all.  Furthermore, in
absolute mode a single mistake may be difficult to spot, while in
relative mode a single error puts the rest of the piece off by one
octave.

@example
\relative @var{startpitch} @var{musicexpr}
@end example

In relative mode, each note is assumed to be as close to the
previous note as possible.  This means that the octave of each
pitch inside @code{@var{musicexpr}} is calculated as follows:

@itemize
@item
If no octave changing mark is used on a pitch, its octave is
calculated so that the interval with the previous note is less
than a fifth.  This interval is determined without considering
accidentals.

@item
An octave changing mark@tie{}@code{'} or@tie{}@code{,} can be
added to respectively raise or lower a pitch by an extra octave,
relative to the pitch calculated without an octave mark.

@item
Multiple octave changing marks can be used.  For example,
@code{''}@tie{}and@tie{}@code{,,} will alter the pitch by two
octaves.

@item
The pitch of the first note is relative to
@code{@var{startpitch}}.  @code{@var{startpitch}} is specified in
absolute octave mode, and it is recommended that it be a octave of
@code{c}.
@end itemize

Here is the relative mode shown in action:

@lilypond[verbatim,quote]
\relative c {
  \clef bass
  c d e f
  g a b c
  d e f g
}
@end lilypond

Octave changing marks are used for intervals greater than a
fourth:

@lilypond[verbatim,quote]
\relative c'' {
  c g c f,
  c' a, e'' c
}
@end lilypond

A note sequence without a single octave mark can nevertheless span
large intervals:

@lilypond[verbatim,quote]
\relative c {
  c f b e
  a d g c
}
@end lilypond

When @code{\relative} blocks are nested, the innermost
@code{\relative} block applies.

@lilypond[verbatim,quote]
\relative c' {
  c d e f
  \relative c'' {
    c d e f
  }
}
@end lilypond

@code{\relative} has no effect on @code{\chordmode} blocks.

@lilypond[verbatim,quote]
\new Staff {
  \relative c''' {
    \chordmode { c1 }
  }
  \chordmode { c1 }
}
@end lilypond

@code{\relative} is not allowed inside of @code{\chordmode} blocks.

Music inside a @code{\transpose} block is absolute unless a
@code{\relative} is included.

@lilypond[verbatim,quote]
\relative c' {
  d e
  \transpose f g {
    d e
    \relative c' {
      d e
    }
  }
}
@end lilypond


@cindex chords and relative octave entry
@cindex relative octave entry and chords

If the preceding item is a chord, the first note of the chord is
used as the reference point for the octave placement of a
following note or chord.  Inside chords, the next note is always
relative to the preceding one.  Examine the next example
carefully, paying attention to the @code{c} notes.

@lilypond[verbatim,quote]
\relative c' {
  c
  <c e g>
  <c' e g'>
  <c, e, g''>
}
@end lilypond

As explained above, the octave of pitches is calculated only with
the note names, regardless of any alterations.  Therefore, an
E-double-sharp following a B will be placed higher, while an
F-double-flat will be placed lower.  In other words, a
double-augmented fourth is considered a smaller interval than a
double-diminished fifth, regardless of the number of semitones
that each interval contains.

@lilypond[verbatim,quote]
\relative c'' {
  c2 fis
  c2 ges
  b2 eisis
  b2 feses
}
@end lilypond


@seealso
Music Glossary:
@rglos{fifth},
@rglos{interval},
@rglos{Pitch names}.

Notation Reference:
@ref{Octave checks}.

Snippets:
@rlsr{Pitches}.

Internals Reference:
@rinternals{RelativeOctaveMusic}.


@cindex relative octave entry and transposition
@cindex transposition and relative octave entry

@funindex \transpose
@funindex transpose
@funindex \chordmode
@funindex chordmode
@funindex \relative
@funindex relative


@c DEPRECATED
If no @code{@var{startpitch}} is specified for @code{\relative},
then@tie{}@code{c'} is assumed.  However, this is a deprecated
option and may disappear in future versions, so its use is
discouraged.



@node Accidentals
@unnumberedsubsubsec Accidentals

@cindex accidental
@cindex key signature
@cindex clef

@c duplicated in Key signature and Accidentals
@warning{New users are sometimes confused about accidentals and
key signatures.  In LilyPond, note names are the raw input; key
signatures and clefs determine how this raw input is displayed.
An unaltered note like@tie{}@code{c} means @q{C natural},
regardless of the key signature or clef.  For more information,
see @rlearning{Accidentals and key signatures}.}

@cindex note names, Dutch
@cindex note names, default
@cindex default note names
@cindex sharp
@cindex flat
@cindex double sharp
@cindex sharp, double
@cindex double flat
@cindex flat, double
@cindex natural sign
@cindex natural pitch

A @notation{sharp} pitch is made by adding @code{is} to the note
name, and a @notation{flat} pitch by adding @code{es}.  As you
might expect, a @notation{double sharp} or @notation{double flat}
is made by adding @code{isis} or @code{eses}.  This syntax is
derived from Dutch note naming conventions.  To use other names
for accidentals, see @ref{Note names in other languages}.

@lilypond[verbatim,quote,relative=2]
ais1 aes aisis aeses
@end lilypond

A natural will cancel the effect of an accidental or key
signature.  However, naturals are not encoded into the note name
syntax with a suffix; a natural pitch is shown as a simple note
name:

@lilypond[verbatim,quote,relative=2]
a4 aes a2
@end lilypond

@cindex quarter tones
@cindex semi-flats
@cindex semi-sharps

Quarter tones may be added; the following is a series of Cs with
increasing pitches:

@lilypond[verbatim,quote,relative=2]
ceseh1 ces ceh c cih cis cisih
@end lilypond



@cindex accidental, reminder
@cindex accidental, cautionary
@cindex accidental, parenthesized
@cindex reminder accidental
@cindex cautionary accidental
@cindex parenthesized accidental

@funindex ?
@funindex !


Normally accidentals are printed automatically, but you may also
print them manually.  A reminder accidental can be forced by
adding an exclamation mark@tie{}@code{!} after the pitch.  A
cautionary accidental (i.e., an accidental within parentheses) can
be obtained by adding the question mark@tie{}@code{?} after the
pitch.  These extra accidentals can also be used to produce
natural signs.

@lilypond[verbatim,quote,relative=2]
cis cis cis! cis? c c c! c?
@end lilypond

@cindex accidental on tied note
@cindex tied note, accidental

Accidentals on tied notes are only printed at the beginning of a
new system:

@lilypond[verbatim,quote,relative=2]
cis1~ cis~
\break
cis
@end lilypond


@snippets

@lilypondfile[verbatim,lilyquote,texidoc,doctitle,ragged-right]
{hiding-accidentals-on-tied-notes-at-the-start-of-a-new-system.ly}

@lilypondfile[verbatim,lilyquote,texidoc,doctitle]
{preventing-extra-naturals-from-being-automatically-added.ly}

@seealso
Music Glossary:
@rglos{sharp},
@rglos{flat},
@rglos{double sharp},
@rglos{double flat},
@rglos{Pitch names},
@rglos{quarter tone}.

Learning Manual:
@rlearning{Accidentals and key signatures}.

Notation Reference:
@ref{Automatic accidentals},
@ref{Annotational accidentals (musica ficta)},
@ref{Note names in other languages}.

Snippets:
@rlsr{Pitches}.

Internals Reference:
@rinternals{Accidental_engraver},
@rinternals{Accidental},
@rinternals{AccidentalCautionary},
@rinternals{accidental-interface}.


@cindex accidental, quarter-tone
@cindex quarter-tone accidental

@knownissues

There are no generally accepted standards for denoting
quarter-tone accidentals, so LilyPond's symbol does not conform to
any standard.



@node Note names in other languages
@unnumberedsubsubsec Note names in other languages

@cindex note names, other languages
@cindex pitch names, other languages
@cindex language, note names in other
@cindex language, pitch names in other

There are predefined sets of note and accidental names for various
other languages.  Selecting the note name language is usually done
at the beginning of the file; the following example is written
using Italian note names:

@lilypond[quote,verbatim]
\language "italiano"

\relative do' {
  do re mi sib
}
@end lilypond

The available languages and the note names they define are:

@quotation
@multitable {@code{nederlands}} {do re mi fa sol la sib si}
@headitem Language
  @tab Note Names
@item @code{nederlands}
  @tab c d e f g a bes b
@item @code{catalan}
  @tab do re mi fa sol la sib si
@item @code{deutsch}
  @tab c d e f g a b h
@item @code{english}
  @tab c d e f g a bf b
@item @code{espanol}
  @tab do re mi fa sol la sib si
@item @code{italiano}
  @tab do re mi fa sol la sib si
@item @code{norsk}
  @tab c d e f g a b h
@item @code{portugues}
  @tab do re mi fa sol la sib si
@item @code{suomi}
  @tab c d e f g a b h
@item @code{svenska}
  @tab c d e f g a b h
@item @code{vlaams}
  @tab do re mi fa sol la sib si
@end multitable
@end quotation

In addition to note names, accidental suffixes may
also vary depending on the language:

@quotation
@multitable {@code{nederlands}} {-s/-sharp} {-ess/-es} {-ss/-x/-sharpsharp} {-essess/-eses}
@headitem Language
  @tab sharp @tab flat @tab double sharp @tab double flat
@item @code{nederlands}
  @tab -is @tab -es @tab -isis @tab -eses
@item @code{catalan}
  @tab -d/-s @tab -b @tab -dd/-ss @tab -bb
@item @code{deutsch}
  @tab -is @tab -es @tab -isis @tab -eses
@item @code{english}
  @tab -s/-sharp @tab -f/-flat @tab -ss/-x/-sharpsharp
    @tab -ff/-flatflat
@item @code{espanol}
  @tab -s @tab -b @tab -ss/-x @tab -bb
@item @code{italiano}
  @tab -d @tab -b @tab -dd @tab -bb
@item @code{norsk}
  @tab -iss/-is @tab -ess/-es @tab -ississ/-isis
    @tab -essess/-eses
@item @code{portugues}
  @tab -s @tab -b @tab -ss @tab -bb
@item @code{suomi}
  @tab -is @tab -es @tab -isis @tab -eses
@item @code{svenska}
  @tab -iss @tab -ess @tab -ississ @tab -essess
@item @code{vlaams}
  @tab -k @tab -b @tab -kk @tab -bb
@end multitable
@end quotation

In Dutch, @code{aes} is contracted to @code{as}, but both forms
are accepted in LilyPond.  Similarly, both @code{es} and
@code{ees} are accepted.  This also applies to
@code{aeses}@tie{}/@tie{}@code{ases} and
@code{eeses}@tie{}/@tie{}@code{eses}.  Sometimes only these
contracted names are defined in the corresponding language files.

@lilypond[verbatim,quote,relative=2]
a2 as e es a ases e eses
@end lilypond


@cindex microtones
@cindex semi-sharp
@cindex semi-flat
@cindex sesqui-sharp
@cindex sesqui-flat

Some music uses microtones whose alterations are fractions of a
@q{normal} sharp or flat.  The following table lists note names
for quarter-tone accidentals in various languages; here the prefixes
@notation{semi-} and @notation{sesqui-} respectively
mean @q{half} and @q{one and a half}.  Languages that do not
appear in this table do not provide special note names yet.

@quotation
@multitable {@code{nederlands}} {@b{semi-sharp}} {@b{semi-flat}} {@b{sesqui-sharp}} {@b{sesqui-flat}}
@headitem Language
  @tab semi-sharp @tab semi-flat @tab sesqui-sharp @tab sesqui-flat

@item @code{nederlands}
  @tab -ih @tab -eh @tab -isih @tab -eseh
@item @code{deutsch}
  @tab -ih @tab -eh @tab -isih @tab -eseh
@item @code{english}
  @tab -qs @tab -qf @tab -tqs @tab -tqf
@item @code{espanol}
  @tab -cs @tab -cb @tab -tcs @tab -tcb
@item @code{italiano}
  @tab -sd @tab -sb @tab -dsd @tab -bsb
@item @code{portugues}
  @tab -sqt @tab -bqt @tab -stqt @tab -btqt
@end multitable
@end quotation

Most languages presented here are commonly associated with
Western classical music, also referred to as
@notation{Common Practice Period}.  However, alternate
pitches and tuning systems are also supported: see
@ref{Common notation for non-Western music}.


@seealso
Music Glossary:
@rglos{Pitch names},
@rglos{Common Practice Period}.

Notation Reference:
@ref{Common notation for non-Western music}.

Installed Files:
@file{scm/define-note-names.scm}.

Snippets:
@rlsr{Pitches}.


@node Changing multiple pitches
@subsection Changing multiple pitches

This section discusses how to modify pitches.

@menu
* Octave checks::
* Transpose::
* Inversion::
* Modal transformations::
@end menu

@node Octave checks
@unnumberedsubsubsec Octave checks

@cindex octave correction
@cindex octave check
@cindex control pitch

@funindex =
@funindex \octaveCheck
@funindex octaveCheck
@funindex controlpitch

In relative mode, it is easy to forget an octave changing mark.
Octave checks make such errors easier to find by displaying a
warning and correcting the octave if a note is found in an
unexpected octave.

To check the octave of a note, specify the absolute octave after
the @code{=}@tie{}symbol.  This example will generate a warning
(and change the pitch) because the second note is the absolute
octave @code{d''} instead of @code{d'} as indicated by the octave
correction.

@lilypond[verbatim,quote]
\relative c'' {
  c2 d='4 d
  e2 f
}
@end lilypond

The octave of notes may also be checked with the
@code{\octaveCheck@tie{}@var{controlpitch}} command.
@code{@var{controlpitch}} is specified in absolute mode.  This
checks that the interval between the previous note and the
@code{@var{controlpitch}} is within a fourth (i.e., the normal
calculation of relative mode).  If this check fails, a warning is
printed, but the previous note is not changed.  Future notes are
relative to the @code{@var{controlpitch}}.

@lilypond[verbatim,quote]
\relative c'' {
  c2 d
  \octaveCheck c'
  e2 f
}
@end lilypond

Compare the two bars below.  The first and third @code{\octaveCheck}
checks fail, but the second one does not fail.

@lilypond[verbatim,quote]
\relative c'' {
  c4 f g f

  c4
  \octaveCheck c'
  f
  \octaveCheck c'
  g
  \octaveCheck c'
  f
}
@end lilypond


@seealso
Snippets:
@rlsr{Pitches}.

Internals Reference:
@rinternals{RelativeOctaveCheck}.


@node Transpose
@unnumberedsubsubsec Transpose

@cindex transpose
@cindex transposing
@cindex transposition
@cindex transposition of pitches
@cindex transposition of notes
@cindex pitches, transposition of
@cindex notes, transposition of

@funindex \transpose
@funindex transpose

A music expression can be transposed with @code{\transpose}.  The
syntax is

@example
\transpose @var{frompitch} @var{topitch} @var{musicexpr}
@end example

@noindent
This means that @code{@var{musicexpr}} is transposed by the
interval between the pitches @code{@var{frompitch}} and
@code{@var{topitch}}: any note with pitch @code{@var{frompitch}}
is changed to @code{@var{topitch}} and any other note is
transposed by the same interval.  Both pitches are entered in
absolute mode.

@warning{Music inside a @code{@bs{}transpose} block is absolute
unless a @code{@bs{}relative} is included in the block.}

Consider a piece written in the key of D-major.  It can be
transposed up to E-major; note that the key signature is
automatically transposed as well.

@lilypond[verbatim,quote]
\transpose d e {
  \relative c' {
    \key d \major
    d4 fis a d
  }
}
@end lilypond

@cindex transposing instruments
@cindex instruments, transposing

If a part written in C (normal @notation{concert pitch}) is to be
played on the A clarinet (for which an A is notated as a C and
thus sounds a minor third lower than notated), the appropriate
part will be produced with:

@lilypond[verbatim,quote]
\transpose a c' {
  \relative c' {
    \key c \major
    c4 d e g
  }
}
@end lilypond

@noindent
Note that we specify @w{@code{\key c \major}} explicitly.  If we
do not specify a key signature, the notes will be transposed but
no key signature will be printed.

@code{\transpose} distinguishes between enharmonic pitches: both
@w{@code{\transpose c cis}} or @w{@code{\transpose c des}} will
transpose up a semitone.  The first version will print sharps and
the notes will remain on the same scale step, the second version
will print flats on the scale step above.

@lilypond[verbatim,quote]
music = \relative c' { c d e f }
\new Staff {
  \transpose c cis { \music }
  \transpose c des { \music }
}
@end lilypond


@code{\transpose} may also be used in a different way, to input
written notes for a transposing instrument.  The previous examples
show how to enter pitches in C (or @notation{concert pitch}) and
typeset them for a transposing instrument, but the opposite is
also possible if you for example have a set of instrumental parts
and want to print a conductor's score.  For example, when entering
music for a B-flat trumpet that begins on a notated E (concert D),
one would write:

@example
musicInBflat = @{ e4 @dots{} @}
\transpose c bes, \musicInBflat
@end example

@noindent
To print this music in F (e.g., rearranging to a French horn) you
could wrap the existing music with another @code{\transpose}:

@example
musicInBflat = @{ e4 @dots{} @}
\transpose f c' @{ \transpose c bes, \musicInBflat @}
@end example

@noindent
For more information about transposing instruments,
see @ref{Instrument transpositions}.


@snippets

@lilypondfile[verbatim,lilyquote,texidoc,doctitle]
{transposing-pitches-with-minimum-accidentals-smart-transpose.ly}


@seealso
Notation Reference:
@ref{Relative octave entry},
@ref{Modal transformations},
@ref{Instrument transpositions}.

Snippets:
@rlsr{Pitches}.

Internals Reference:
@rinternals{TransposedMusic}.


@funindex \transpose
@funindex transpose
@funindex \chordmode
@funindex chordmode
@funindex \relative
@funindex relative

@knownissues

The relative conversion will not affect @code{\transpose},
@code{\chordmode} or @code{\relative} sections in its argument.
To use relative mode within transposed music, an additional
@code{\relative} must be placed inside @code{\transpose}.

@node Inversion
@unnumberedsubsubsec Inversion

@cindex inversion

A music expression can be inverted with @code{\inversion}.

@example
\inversion @var{frompitch} @var{topitch} @var{musicexpr}
@end example

@noindent
This means that @code{@var{musicexpr}} is inverted
interval-by-interval, and transposition is chosen so that
@code{@var{frompitch}} is mapped to @code{@var{topitch}}.

@node Modal transformations
@unnumberedsubsubsec Modal transformations

@cindex modal transformations
@cindex transformations, modal
@cindex operations, modal

In a musical composition that is based on a scale, a motif is
frequently transformed in various ways.  It may be
@notation{transposed} to start at different places in the scale, it
may be @notation{inverted} around a pivot point in the scale, and/or
it may be converted to its @notation{retrograde} (written backwards).

@warning{Any note that does not lie within the given scale will be
left untransformed.}

@subsubheading Modal transposition

@cindex modal transposition
@cindex transposition, modal
@cindex operation, transposition
@funindex \modalTranspose
@funindex modalTranspose

A motif can be transposed within a given scale with:

@example
\modalTranspose @var{from-pitch} @var{to-pitch} @var{scale} @var{motif}
@end example

The notes of @var{motif} are shifted within the @var{scale} by the
number of scale degrees given by the interval between @var{to-pitch}
and @var{from-pitch}:

@lilypond[verbatim,quote]
diatonicScale = \relative c' { c d e f g a b }
motif = \relative c' { c8 d e f g a b c }

\new Staff {
  \motif
  \modalTranspose c f \diatonicScale \motif
  \modalTranspose c b, \diatonicScale \motif
}
@end lilypond

An ascending scale of any length and with any intervals may be
specified:

@lilypond[verbatim,quote]
pentatonicScale = \relative c' { ges aes bes des ees }
motif = \relative c' { ees8 des ges,4 <ges' bes,> <ges bes,> }

\new Staff {
  \motif
  \modalTranspose ges ees' \pentatonicScale \motif
}
@end lilypond

When used with a chromatic scale @code{\modalTranspose} has a
similar effect to @code{\transpose}, but with the ability to
specify the names of the notes to be used:

@lilypond[verbatim,quote]
chromaticScale = \relative c' { c cis d dis e f fis g gis a ais b }
motif = \relative c' { c8 d e f g a b c }

\new Staff {
  \motif
  \transpose c f \motif
  \modalTranspose c f \chromaticScale \motif
}
@end lilypond

@subsubheading Modal inversion

@cindex modal inversion
@cindex inversion, modal
@cindex operation, inversion
@funindex \modalInversion
@funindex modalInversion

A motif can be inverted within a given scale around a given pivot
note and transposed in a single operation with:

@example
\modalInversion @var{around-pitch} @var{to-pitch} @var{scale} @var{motif}
@end example

The notes of @var{motif} are placed the same number of scale degrees
from the @var{around-pitch} note within the @var{scale}, but in the
opposite direction, and the result is then shifted within the
@var{scale} by the number of scale degrees given by the interval between
@var{to-pitch} and @var{around-pitch}.

So to simply invert around a note in the scale use the same value for
@var{around-pitch} and @var{to-pitch}:

@lilypond[verbatim,quote]
octatonicScale = \relative c' { ees f fis gis a b c d }
motif = \relative c' { c8. ees16 fis8. a16 b8. gis16 f8. d16 }

\new Staff {
  \motif
  \modalInversion fis' fis' \octatonicScale \motif
}
@end lilypond

To invert around a pivot between two notes in the scale, invert around
one of the notes and then transpose by one scale degree.  The two notes
specified can be interpreted as bracketing the pivot point:

@lilypond[verbatim,quote]
scale = \relative c' { c g' }
motive = \relative c' { c c g' c, }

\new Staff {
  \motive
  \modalInversion c' g' \scale \motive
}
@end lilypond


@subsubheading Retrograde transformation

@cindex retrograde transformation
@cindex transformation, retrograde
@cindex operation, retrograde
@funindex \retrograde
@funindex retrograde

A motif can be reversed to produce its retrograde:

@lilypond[verbatim,quote]
motif = \relative c' { c8. ees16( fis8. a16 b8.) gis16 f8. d16 }

\new Staff {
  \motif
  \retrograde \motif
}
@end lilypond

The combined operation of inversion and retrograde produce the
retrograde-inversion:

@lilypond[verbatim,quote]
octatonicScale = \relative c' { ees f fis gis a b c d }
motif = \relative c' { c8. ees16 fis8. a16 b8. gis16 f8. d16 }

\new Staff {
  \motif
  \retrograde \modalInversion c' c' \octatonicScale \motif
}
@end lilypond

@seealso
Notation Reference:
@ref{Transpose}.

@knownissues
Manual ties inside @code{\retrograde} will be broken and
generate warnings.  Some ties can be generated automatically
by enabling @ref{Automatic note splitting}.


@node Displaying pitches
@subsection Displaying pitches

This section discusses how to alter the output of pitches.

@menu
* Clef::
* Key signature::
* Ottava brackets::
* Instrument transpositions::
* Automatic accidentals::
* Ambitus::
@end menu


@node Clef
@unnumberedsubsubsec Clef

@cindex G clef
@cindex C clef
@cindex F clef
@cindex treble clef
@cindex violin clef
@cindex alto clef
@cindex tenor clef
@cindex bass clef
@cindex french clef
@cindex soprano clef
@cindex mezzosoprano clef
@cindex baritone clef
@cindex varbaritone clef
@cindex subbass clef
@cindex clef
@cindex ancient clef
@cindex clef, ancient
@cindex clef, G
@cindex clef, C
@cindex clef, F
@cindex clef, treble
@cindex clef, violin
@cindex clef, alto
@cindex clef, tenor
@cindex clef, bass
@cindex clef, french
@cindex clef, soprano
@cindex clef, mezzosoprano
@cindex clef, baritone
@cindex clef, varbaritone
@cindex clef, subbass


@funindex \clef
@funindex clef

The clef may be altered.  Middle C is shown in every example.  The
following clef names can (but do not need to) be enclosed in quotes.

@lilypond[verbatim,quote,relative=1]
\clef treble
c2 c
\clef alto
c2 c
\clef tenor
c2 c
\clef bass
c2 c
@end lilypond

Other clefs include:

@lilypond[verbatim,quote,relative=1]
\clef french
c2 c
\clef soprano
c2 c
\clef mezzosoprano
c2 c
\clef baritone
c2 c

\break

\clef varbaritone
c2 c
\clef subbass
c2 c
\clef percussion
c2 c

\break

\clef G   % synonym for treble
c2 c
\clef F   % synonym for bass
c2 c
\clef C   % synonym for alto
c2 c
@end lilypond

@cindex transposing clef
@cindex clef, transposing
@cindex octave transposition
@cindex choral tenor clef
@cindex tenor clef, choral

By adding@tie{}@code{_8} or@tie{}@code{^8} to the clef name, the
clef is transposed one octave down or up respectively,
and@tie{}@code{_15} and@tie{}@code{^15} transpose by two octaves.
Other integers can be used if required.  Clef names containing
non-alphabetic characters must be enclosed in quotes

@lilypond[verbatim,quote,relative=1]
\clef treble
c2 c
\clef "treble_8"
c2 c
\clef "bass^15"
c2 c
\clef "alto_2"
c2 c
\clef "G_8"
c2 c
\clef "F^5"
c2 c
@end lilypond

Some special purpose clefs are described in @ref{Mensural clefs},
@ref{Gregorian clefs}, @ref{Default tablatures}, and @ref{Custom
tablatures}.

@snippets

@lilypondfile[verbatim,lilyquote,texidoc,doctitle]
{tweaking-clef-properties.ly}


@seealso
Notation Reference:
@ref{Mensural clefs},
@ref{Gregorian clefs},
@ref{Default tablatures},
@ref{Custom tablatures}.

Snippets:
@rlsr{Pitches}.

Internals Reference:
@rinternals{Clef_engraver},
@rinternals{Clef},
@rinternals{OctavateEight},
@rinternals{clef-interface}.


@node Key signature
@unnumberedsubsubsec Key signature

@cindex key signature

@funindex \key
@funindex key

@c duplicated in Key signature and Accidentals
@warning{New users are sometimes confused about accidentals and
key signatures.  In LilyPond, note names are the raw input; key
signatures and clefs determine how this raw input is displayed.
An unaltered note like@tie{}@code{c} means @q{C natural},
regardless of the key signature or clef.  For more information,
see @rlearning{Accidentals and key signatures}.}

The key signature indicates the tonality in which a piece is
played.  It is denoted by a set of alterations (flats or sharps)
at the start of the staff.  The key signature may be altered:

@example
\key @var{pitch} @var{mode}
@end example

@funindex \major
@funindex major
@funindex \minor
@funindex minor
@funindex \ionian
@funindex ionian
@funindex \locrian
@funindex locrian
@funindex \aeolian
@funindex aeolian
@funindex \mixolydian
@funindex mixolydian
@funindex \lydian
@funindex lydian
@funindex \phrygian
@funindex phrygian
@funindex \dorian
@funindex dorian

@cindex church modes
@cindex modes
@cindex major
@cindex minor
@cindex ionian
@cindex locrian
@cindex aeolian
@cindex mixolydian
@cindex lydian
@cindex phrygian
@cindex dorian

@noindent
Here, @code{@var{mode}} should be @code{\major} or @code{\minor}
to get a key signature of @code{@var{pitch}}-major or
@code{@var{pitch}}-minor, respectively.  You may also use the
standard mode names, also called @notation{church modes}:
@code{\ionian}, @code{\dorian}, @code{\phrygian}, @code{\lydian},
@code{\mixolydian}, @code{\aeolian}, and @code{\locrian}.

@lilypond[verbatim,quote,relative=2]
\key g \major
fis1
f
fis
@end lilypond


@snippets

@lilypondfile[verbatim,lilyquote,texidoc,doctitle]
{preventing-natural-signs-from-being-printed-when-the-key-signature-changes.ly}

@lilypondfile[verbatim,lilyquote,texidoc,doctitle]
{non-traditional-key-signatures.ly}


@seealso
Music Glossary:
@rglos{church mode},
@rglos{scordatura}.

Learning Manual:
@rlearning{Accidentals and key signatures}.

Snippets:
@rlsr{Pitches}.

Internals Reference:
@rinternals{KeyChangeEvent},
@rinternals{Key_engraver},
@rinternals{Key_performer},
@rinternals{KeyCancellation},
@rinternals{KeySignature},
@rinternals{key-cancellation-interface},
@rinternals{key-signature-interface}.


@node Ottava brackets
@unnumberedsubsubsec Ottava brackets

@cindex ottava
@cindex 15ma
@cindex 8va
@cindex 8ve
@cindex octavation

@funindex set-octavation
@funindex \ottava
@funindex ottava

@notation{Ottava brackets} introduce an extra transposition of an
octave for the staff:

@lilypond[verbatim,quote,relative=2]
a2 b
\ottava #-2
a2 b
\ottava #-1
a2 b
\ottava #0
a2 b
\ottava #1
a2 b
\ottava #2
a2 b
@end lilypond

@snippets

@lilypondfile[verbatim,lilyquote,texidoc,doctitle]
{ottava-text.ly}


@seealso
Music Glossary:
@rglos{octavation}.

Snippets:
@rlsr{Pitches}.

Internals Reference:
@rinternals{Ottava_spanner_engraver},
@rinternals{OttavaBracket},
@rinternals{ottava-bracket-interface}.


@node Instrument transpositions
@unnumberedsubsubsec Instrument transpositions

@cindex transposition, MIDI
@cindex transposition, instrument
@cindex transposing instrument
@cindex MIDI
@cindex MIDI transposition

@funindex \transposition
@funindex transposition

When typesetting scores that involve transposing instruments, some
parts can be typeset in a different pitch than the
@notation{concert pitch}.  In these cases, the key of the
@notation{transposing instrument} should be specified; otherwise
the MIDI output and cues in other parts will produce incorrect
pitches.  For more information about quotations, see
@ref{Quoting other voices}.

@example
\transposition @var{pitch}
@end example

The pitch to use for @code{\transposition} should correspond to
the real sound heard when a@tie{}@code{c'} written on the staff is
played by the transposing instrument.  This pitch is entered in
absolute mode, so an instrument that produces a real sound which
is one tone higher than the printed music should use
@w{@code{\transposition d'}}.  @code{\transposition} should
@emph{only} be used if the pitches are @emph{not} being entered in
concert pitch.

Here are a few notes for violin and B-flat clarinet where the
parts have been entered using the notes and key as they appear in
each part of the conductor's score.  The two instruments are
playing in unison.

@lilypond[verbatim,quote]
\new GrandStaff <<
  \new Staff = "violin" {
    \relative c'' {
      \set Staff.instrumentName = #"Vln"
      \set Staff.midiInstrument = #"violin"
      % not strictly necessary, but a good reminder
      \transposition c'

      \key c \major
      g4( c8) r c r c4
    }
  }
  \new Staff = "clarinet" {
    \relative c'' {
      \set Staff.instrumentName = \markup { Cl (B\flat) }
      \set Staff.midiInstrument = #"clarinet"
      \transposition bes

      \key d \major
      a4( d8) r d r d4
    }
  }
>>
@end lilypond

The @code{\transposition} may be changed during a piece.  For
example, a clarinetist may switch from an A clarinet to a B-flat
clarinet.

@lilypond[verbatim,quote,relative=2]
\set Staff.instrumentName = #"Cl (A)"
\key a \major
\transposition a
c d e f
\textLengthOn
s1*0^\markup { Switch to B\flat clarinet }
R1

\key bes \major
\transposition bes
c2 g
@end lilypond


@seealso
Music Glossary:
@rglos{concert pitch},
@rglos{transposing instrument}.

Notation Reference:
@ref{Quoting other voices},
@ref{Transpose}.

Snippets:
@rlsr{Pitches}.


@node Automatic accidentals
@unnumberedsubsubsec Automatic accidentals

@cindex accidental style
@cindex accidental style, default
@cindex accidentals
@cindex accidentals, automatic
@cindex automatic accidentals
@cindex default accidental style

@funindex set-accidental-style
@funindex voice
@funindex default

There are many different conventions on how to typeset
accidentals.  LilyPond provides a function to specify which
accidental style to use.  This function is called as follows:

@example
\new Staff <<
  #(set-accidental-style 'voice)
  @{ @dots{} @}
>>
@end example

The accidental style applies to the current @code{Staff} by
default (with the exception of the styles @code{piano} and
@code{piano-cautionary}, which are explained below).  Optionally,
the function can take a second argument that determines in which
scope the style should be changed.  For example, to use the same
style in all staves of the current @code{StaffGroup}, use:

@example
#(set-accidental-style 'voice 'StaffGroup)
@end example

The following accidental styles are supported.  To demonstrate
each style, we use the following example:


@lilypond[verbatim,quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'default)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'default)
      \musicB
    }
  >>
}
@end lilypond

Note that the last lines of this example can be replaced by the
following, as long as the same accidental style should be used in
both staves.

@example
\new PianoStaff @{
  <<
    \context Staff = "up" @{
      %%% change the next line as desired:
      #(set-accidental-style 'default 'Score)
      \musicA
    @}
    \context Staff = "down" @{
      \musicB
    @}
  >>
@}
@end example


@c don't use verbatim in this table.
@table @code
@item default

@cindex default accidental style
@cindex accidental style, default

@funindex default

This is the default typesetting behavior.  It corresponds to
eighteenth-century common practice: accidentals are remembered to
the end of the measure in which they occur and only in their own
octave.  Thus, in the example below, no natural signs are printed
before the@tie{}@code{b} in the second measure or the
last@tie{}@code{c}:

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'default)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'default)
      \musicB
    }
  >>
}
@end lilypond

@item voice

@cindex accidental style, voice
@cindex voice accidental style
@cindex accidental style, modern
@cindex modern accidental style
@cindex accidental style, modern-cautionary
@cindex modern-cautionary accidental style

@funindex voice

The normal behavior is to remember the accidentals at
@code{Staff}-level.  In this style, however, accidentals are
typeset individually for each voice.  Apart from that, the rule is
similar to @code{default}.

As a result, accidentals from one voice do not get canceled in
other voices, which is often an unwanted result: in the following
example, it is hard to determine whether the second@tie{}@code{a}
should be played natural or sharp.  The @code{voice} option should
therefore be used only if the voices are to be read solely by
individual musicians.  If the staff is to be used by one musician
(e.g., a conductor or in a piano score) then @code{modern} or
@code{modern-cautionary} should be used instead.


@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'voice)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'voice)
      \musicB
    }
  >>
}
@end lilypond

@item modern

@cindex accidentals, modern style
@cindex modern style accidentals

@funindex modern

This rule corresponds to the common practice in the twentieth
century.  It prints the same accidentals as @code{default}, with
two exceptions that serve to avoid ambiguity: after temporary
accidentals, cancellation marks are printed also in the following
measure (for notes in the same octave) and, in the same measure,
for notes in other octaves.  Hence the naturals before
the@tie{}@code{b} and the@tie{}@code{c} in the second measure of
the upper staff:

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'modern)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'modern)
      \musicB
    }
  >>
}
@end lilypond

@item modern-cautionary

@cindex accidentals, modern cautionary style
@cindex modern accidental style
@cindex modern cautionary accidental style
@cindex modern style accidentals
@cindex modern style cautionary accidentals

@funindex modern-cautionary

This rule is similar to @code{modern}, but the @q{extra}
accidentals (the ones not typeset by @code{default}) are typeset
as cautionary accidentals.  They are by default printed with
parentheses, but they can also be printed in reduced size by
defining the @code{cautionary-style} property of
@code{AccidentalSuggestion}.

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'modern-cautionary)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'modern-cautionary)
      \musicB
    }
  >>
}
@end lilypond

@item modern-voice

@cindex accidental style, modern
@cindex accidentals, modern
@cindex accidentals, multivoice
@cindex modern accidental style
@cindex modern accidentals
@cindex multivoice accidentals

@funindex modern-voice

This rule is used for multivoice accidentals to be read both by
musicians playing one voice and musicians playing all voices.
Accidentals are typeset for each voice, but they @emph{are}
canceled across voices in the same @code{Staff}.  Hence,
the@tie{}@code{a} in the last measure is canceled because the
previous cancellation was in a different voice, and
the@tie{}@code{d} in the lower staff is canceled because of the
accidental in a different voice in the previous measure:

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'modern-voice)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'modern-voice)
      \musicB
    }
  >>
}
@end lilypond

@cindex accidental style, cautionary, modern voice
@cindex accidental style, modern voice cautionary
@cindex accidental style, voice, modern cautionary

@funindex modern-voice-cautionary

@item modern-voice-cautionary

This rule is the same as @code{modern-voice}, but with the extra
accidentals (the ones not typeset by @code{voice}) typeset as
cautionaries.  Even though all accidentals typeset by
@code{default} @emph{are} typeset with this rule, some of them are
typeset as cautionaries.

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'modern-voice-cautionary)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'modern-voice-cautionary)
      \musicB
    }
  >>
}
@end lilypond

@item piano

@cindex accidental style, piano
@cindex accidentals, piano
@cindex piano accidental style
@cindex piano accidentals

@funindex piano

This rule reflects twentieth-century practice for piano notation.
Its behavior is very similar to @code{modern} style, but here
accidentals also get canceled across the staves in the same
@code{GrandStaff} or @code{PianoStaff}, hence all the
cancellations of the final notes.

This accidental style applies to the current @code{GrandStaff} or
@code{PianoStaff} by default.

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'piano)
      \musicA
    }
    \context Staff = "down" {
      \musicB
    }
  >>
}
@end lilypond

@item piano-cautionary

@cindex accidentals, piano cautionary
@cindex cautionary accidentals, piano
@cindex piano cautionary accidentals
@cindex accidental style, piano cautionary
@cindex cautionary accidental style, piano
@cindex piano cautionary accidental style

@funindex piano-cautionary

This is the same as @code{piano} but with the extra accidentals
typeset as cautionaries.

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'piano-cautionary)
      \musicA
    }
    \context Staff = "down" {
      \musicB
    }
  >>
}
@end lilypond


@item neo-modern

@cindex neo-modern accidental style
@cindex accidental style, neo-modern

@funindex neo-modern

This rule reproduces a common practice in contemporary music:
accidentals are printed like with @code{modern}, but they are printed
again if the same note appears later in the same measure -- except
if the note is immediately repeated.

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'neo-modern)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'neo-modern)
      \musicB
    }
  >>
}
@end lilypond

@item neo-modern-cautionary

@cindex neo-modern-cautionary accidental style
@cindex accidental style, neo-modern-cautionary

@funindex neo-modern-cautionary

This rule is similar to @code{neo-modern}, but the extra
accidentals are printed as cautionary accidentals.

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'neo-modern-cautionary)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'neo-modern-cautionary)
      \musicB
    }
  >>
}
@end lilypond


@item neo-modern-voice

@cindex neo-modern-voice accidental style
@cindex accidental style, neo-modern-voice

@funindex neo-modern-voice

This rule is used for multivoice accidentals to be read both by
musicians playing one voice and musicians playing all voices.
Accidentals are typeset for each voice as with @code{neo-modern},
but they are canceled across voices in the same @code{Staff}.

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'neo-modern-voice)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'neo-modern-voice)
      \musicB
    }
  >>
}
@end lilypond

@item neo-modern-voice-cautionary

@cindex neo-modern-voice-cautionary accidental style
@cindex accidental style, neo-modern-voice-cautionary

@funindex neo-modern-voice-cautionary

This rule is similar to @code{neo-modern-voice}, but the extra
accidentals are printed as cautionary accidentals.

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'neo-modern-voice-cautionary)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'neo-modern-voice-cautionary)
      \musicB
    }
  >>
}
@end lilypond

@item dodecaphonic

@cindex dodecaphonic accidental style
@cindex dodecaphonic style, neo-modern

@funindex dodecaphonic

This rule reflects a practice introduced by composers at
the beginning of the 20th century, in an attempt to
abolish the hierarchy between natural and non-natural notes.
With this style, @emph{every} note gets an accidental sign,
including natural signs.

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'dodecaphonic)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'dodecaphonic)
      \musicB
    }
  >>
}
@end lilypond


@item teaching

@cindex teaching accidental style
@cindex accidental style, teaching

@funindex teaching

This rule is intended for students, and makes it easy to create
scale sheets with automatically created cautionary accidentals.
Accidentals are printed like with @code{modern}, but cautionary
accidentals are added for all sharp or flat tones specified by the
key signature, except if the note is immediately repeated.

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      \key fis \minor
      #(set-accidental-style 'teaching)
      \musicA
    }
    \context Staff = "down" {
      \key fis \minor
      #(set-accidental-style 'teaching)
      \musicB
    }
  >>
}
@end lilypond



@item no-reset

@cindex accidental style, no reset
@cindex no reset accidental style

@funindex no-reset

This is the same as @code{default} but with accidentals lasting
@q{forever} and not only within the same measure:

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'no-reset)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'no-reset)
      \musicB
    }
  >>
}
@end lilypond

@item forget

@cindex forget accidental style
@cindex accidental style, forget

@funindex forget

This is the opposite of @code{no-reset}: Accidentals are not
remembered at all -- and hence all accidentals are typeset
relative to the key signature, regardless of what came before in
the music.  Unlike @code{dodecaphonic}, this rule never prints
any naturals.

@lilypond[quote]
musicA = {
  <<
    \relative c' {
      cis'8 fis, d'4 <a cis>8 f bis4 |
      cis2. <c, g'>4 |
    }
    \\
    \relative c' {
      ais'2 cis, |
      fis8 b a4 cis2 |
    }
  >>
}

musicB = {
  \clef bass
  \new Voice {
    \voiceTwo \relative c' {
      <fis, a cis>8 <fis a cis>
      \change Staff = up
      cis' cis
      \change Staff = down
      <fis, a> <fis a>
      \showStaffSwitch
      \change Staff = up
      dis'4 |
      \change Staff = down
      <fis, a cis>4 gis <f a d>2 |
    }
  }
}

\new PianoStaff {
  <<
    \context Staff = "up" {
      #(set-accidental-style 'forget)
      \musicA
    }
    \context Staff = "down" {
      #(set-accidental-style 'forget)
      \musicB
    }
  >>
}
@end lilypond
@end table

@snippets

@lilypondfile[verbatim,lilyquote,texidoc,doctitle]
{dodecaphonic-style-accidentals-for-each-note-including-naturals.ly}


@seealso
Snippets:
@rlsr{Pitches}.

Internals Reference:
@rinternals{Accidental},
@rinternals{Accidental_engraver},
@rinternals{GrandStaff},
@rinternals{PianoStaff},
@rinternals{Staff},
@rinternals{AccidentalSuggestion},
@rinternals{AccidentalPlacement},
@rinternals{accidental-suggestion-interface}.


@cindex accidentals and simultaneous notes
@cindex simultaneous notes and accidentals
@cindex accidentals in chords
@cindex chords, accidentals in

@knownissues

Simultaneous notes are not considered in the automatic
determination of accidentals; only previous notes and the key
signature are considered.  Forcing accidentals with@tie{}@code{!}
or@tie{}@code{?} may be required when the same note name occurs
simultaneously with different alterations, as in @samp{<f! fis!>}.

Cautionary cancellation of accidentals is done by looking at previous measure.
However, in the @code{\alternative} block following a @code{\repeat volta N}
section, one would expect the cancellation being calculated using the previous
@emph{played} measure, not previous @emph{printed} measure.
In the following example, the natural @code{c} in the second alternative does
not need a natural sign:

@lilypond[quote]
{
  #(set-accidental-style 'modern)
  \time 2/4
  \repeat volta 2 {
    c'2
  }
  \alternative {
     cis'
     c'
  }
}
@end lilypond

The following work-around can be used: define a function that locally changes
the accidental style to @code{forget}:

@lilypond[verbatim,quote]
forget = #(define-music-function (parser location music) (ly:music?) #{
  #(set-accidental-style 'forget)
  $music
  #(set-accidental-style 'modern)
#})
{
  #(set-accidental-style 'modern)
  \time 2/4
  \repeat volta 2 {
    c'2
  }
  \alternative {
     cis'
     \forget c'
  }
}
@end lilypond

@node Ambitus
@unnumberedsubsubsec Ambitus

@cindex ambitus
@cindex range of pitches
@cindex pitch range

The term @notation{ambitus} (pl. ambitus) denotes a range of
pitches for a given voice in a part of music.  It may also denote
the pitch range that a musical instrument is capable of playing.
Ambitus are printed on vocal parts so that performers can easily
determine if it matches their capabilities.

Ambitus are denoted at the beginning of a piece near the initial
clef.  The range is graphically specified by two note heads that
represent the lowest and highest pitches.  Accidentals are only
printed if they are not part of the key signature.

@lilypond[verbatim,quote]
\layout {
  \context {
    \Voice
    \consists "Ambitus_engraver"
  }
}

\relative c'' {
  aes c e2
  cis,1
}
@end lilypond


@snippets

@lilypondfile[verbatim,lilyquote,texidoc,doctitle]
{adding-ambitus-per-voice.ly}

@lilypondfile[verbatim,lilyquote,texidoc,doctitle]
{ambitus-with-multiple-voices.ly}

@lilypondfile[verbatim,lilyquote,texidoc,doctitle]
{changing-the-ambitus-gap.ly}


@seealso
Music Glossary:
@rglos{ambitus}.

Snippets:
@rlsr{Pitches}.

Internals Reference:
@rinternals{Ambitus_engraver},
@rinternals{Voice},
@rinternals{Staff},
@rinternals{Ambitus},
@rinternals{AmbitusAccidental},
@rinternals{AmbitusLine},
@rinternals{AmbitusNoteHead},
@rinternals{ambitus-interface}.


@knownissues

There is no collision handling in the case of multiple per-voice
ambitus.


@node Note heads
@subsection Note heads

This section suggests ways of altering note heads.

@menu
* Special note heads::
* Easy notation note heads::
* Shape note heads::
* Improvisation::
@end menu

@node Special note heads
@unnumberedsubsubsec Special note heads

@cindex note heads, special
@cindex note heads, cross
@cindex note heads, diamond
@cindex note heads, parlato
@cindex note heads, harmonic
@cindex note heads, guitar
@cindex special note heads
@cindex cross note heads
@cindex diamond note heads
@cindex parlato note heads
@cindex harmonic note heads
@cindex guitar note heads
@cindex note head styles
@cindex styles, note heads

@funindex cross

The appearance of note heads may be altered:

@lilypond[verbatim,quote,relative=2]
c4 b
\override NoteHead #'style = #'cross
c4 b
\revert NoteHead #'style
a b
\override NoteHead #'style = #'harmonic
a b
\revert NoteHead #'style
c4 d e f
@end lilypond

To see all note head styles, see @ref{Note head styles}.

The @code{cross} style is used to represent a variety of musical
intentions.  The following generic predefined commands modify the
note head in both staff and tablature contexts and can be used to
represent any musical meaning:

@lilypond[verbatim,quote,relative=2]
c4 b
\xNotesOn
 a b c4 b
\xNotesOff
c4 d
@end lilypond

The music function form of this predefined command may be used
inside and outside chords to generate crossed note heads in both
staff and tablature contexts:

@lilypond[verbatim,quote,relative=2]
c4 b
\xNote { e f }
c b < g \xNote c f > b
@end lilypond

As synonyms for @code{\xNote}, @code{\xNotesOn} and @code{\xNotesOff},
@code{\deadNote}, @code{\deadNotesOn} and @code{\deadNotesOff} can
be used.  The term @notation{dead note} is commonly used by guitarists.

There is also a shorthand for diamond shapes which can be used
only inside chords:

@lilypond[verbatim,quote,relative=2]
<c f\harmonic>2 <d a'\harmonic>4 <c g'\harmonic>
@end lilypond

@predefined
@code{\harmonic},
@code{\xNotesOn},
@code{\xNotesOff},
@code{\xNote}.
@endpredefined

@seealso
Snippets:
@rlsr{Pitches}.

Notation Reference:
@ref{Note head styles},
@ref{Chorded notes},
@ref{Indicating harmonics and dampened notes}.

Internals Reference:
@rinternals{note-event},
@rinternals{Note_heads_engraver},
@rinternals{Ledger_line_engraver},
@rinternals{NoteHead},
@rinternals{LedgerLineSpanner},
@rinternals{note-head-interface},
@rinternals{ledger-line-spanner-interface}.


@node Easy notation note heads
@unnumberedsubsubsec Easy notation note heads

@cindex note heads, practice
@cindex practice note heads
@cindex note heads, easy notation
@cindex easy notation
@cindex beginners' music
@cindex music, beginners'
@cindex easy play note heads
@cindex note heads, easy play

@funindex \easyHeadsOn
@funindex easyHeadsOn
@funindex \easyHeadsOff
@funindex easyHeadsOff

The @q{easy play} note head includes a note name inside the head.
It is used in music for beginners.  To make the letters readable,
it should be printed in a large font size.  To print with a larger
font, see @ref{Setting the staff size}.

@lilypond[verbatim,quote]
#(set-global-staff-size 26)
\relative c' {
  \easyHeadsOn
  c2 e4 f
  g1
  \easyHeadsOff
  c,1
}
@end lilypond


@predefined
@code{\easyHeadsOn},
@code{\easyHeadsOff}.
@endpredefined


@snippets

@lilypondfile[verbatim,lilyquote,texidoc,doctitle]
{numbers-as-easy-note-heads.ly}


@seealso
Notation Reference:
@ref{Setting the staff size}.

Snippets:
@rlsr{Pitches}.

Internals Reference:
@rinternals{note-event},
@rinternals{Note_heads_engraver},
@rinternals{NoteHead},
@rinternals{note-head-interface}.


@node Shape note heads
@unnumberedsubsubsec Shape note heads

@cindex note heads, shape
@cindex note heads, Aiken
@cindex note heads, sacred harp
@cindex shape notes
@cindex Aiken shape note heads
@cindex sacred harp note heads
@cindex note heads, Southern Harmony
@cindex Southern Harmony note heads
@cindex Funk shape note heads
@cindex note heads, Funk
@cindex note heads, Harmonica Sacra
@cindex Harmonica Sacra note heads
@cindex Christian Harmony note heads
@cindex note heads, Christian Harmony
@cindex Walker shape note heads
@cindex note heads, Walker

@funindex \aikenHeads
@funindex aikenHeads
@funindex \sacredHarpHeads
@funindex sacredHarpHeads
@funindex \southernHarmonyHeads
@funindex southernHarmonyHeads
@funindex \funkHeads
@funindex funkHeads
@funindex \walkerHeads
@funindex walkerHeads

In shape note head notation, the shape of the note head
corresponds to the harmonic function of a note in the scale.  This
notation was popular in nineteenth-century American song books.
Shape note heads can be produced in Sacred Harp, Southern Harmony,
Funk (Harmonica Sacra), Walker, and Aiken (Christian Harmony) styles:

@lilypond[verbatim,quote,relative=2]
\aikenHeads
c, d e f g2 a b1 c \break
\sacredHarpHeads
c,4 d e f g2 a b1 c \break
\southernHarmonyHeads
c,4 d e f g2 a b1 c \break
\funkHeads
c,4 d e f g2 a b1 c \break
\walkerHeads
c,4 d e f g2 a b1 c \break
@end lilypond

@funindex \key
@funindex key
@funindex \aikenHeadsMinor
@funindex aikenHeadsMinor
@funindex \sacredHarpHeadsMinor
@funindex sacredHarpHeadsMinor
@funindex \southernHarmonyHeadsMinor
@funindex southernHarmonyHeadsMinor
@funindex \funkHeadsMinor
@funindex funkHeadsMinor
@funindex \walkerHeadsMinor
@funindex walkerHeadsMinor

Shapes are typeset according to the step in the scale, where the base
of the scale is determined by the @code{\key} command.  When writing
in a minor key, the scale step can be determined from the relative
major:

@lilypond[verbatim,quote,relative=2]
\key a \minor
\aikenHeads
a b c d e2 f g1 a \break
\aikenHeadsMinor
a,4 b c d e2 f g1 a \break
\sacredHarpHeadsMinor
a,2 b c d \break
\southernHarmonyHeadsMinor
a2 b c d \break
\funkHeadsMinor
a2 b c d \break
\walkerHeadsMinor
a2 b c d \break

@end lilypond


@predefined
@code{\aikenHeads},
@code{\aikenHeadsMinor},
@code{\funkHeads},
@code{\funkHeadsMinor},
@code{\sacredHarpHeads},
@code{\sacredHarpHeadsMinor},
@code{\southernHarmonyHeads},
@code{\southernHarmonyHeadsMinor},
@code{\walkerHeads},
@code{\walkerHeadsMinor}.
@endpredefined


@snippets

@lilypondfile[verbatim,lilyquote,texidoc,doctitle]
{applying-note-head-styles-depending-on-the-step-of-the-scale.ly}

To see all note head styles, see @ref{Note head styles}.


@seealso
Snippets:
@rlsr{Pitches}.

Notation Reference:
@ref{Note head styles}.

Internals Reference:
@rinternals{note-event},
@rinternals{Note_heads_engraver},
@rinternals{NoteHead},
@rinternals{note-head-interface}.


@node Improvisation
@unnumberedsubsubsec Improvisation

@cindex improvisation
@cindex slashed note heads
@cindex note heads, improvisation
@cindex note heads, slashed

@funindex \improvisationOn
@funindex improvisationOn
@funindex \improvisationOff
@funindex improvisationOff

Improvisation is sometimes denoted with slashed note heads, where
the performer may choose any pitch but should play the specified
rhythm.  Such note heads can be created:

@lilypond[verbatim,quote,relative=2]
\new Voice \with {
  \consists "Pitch_squash_engraver"
} {
  e8 e g a a16( bes) a8 g
  \improvisationOn
  e8 ~
  e2 ~ e8 f4 f8 ~
  f2
  \improvisationOff
  a16( bes) a8 g e
}
@end lilypond


@predefined
@code{\improvisationOn},
@code{\improvisationOff}.
@endpredefined


@seealso
Snippets:
@rlsr{Pitches}.

Internals Reference:
@rinternals{Pitch_squash_engraver},
@rinternals{Voice},
@rinternals{RhythmicStaff}.