* Octave checks::
* Transpose::
* Inversion::
+* Retrograde::
* Modal transformations::
@end menu
@seealso
Notation Reference:
-@ref{Relative octave entry},
+@ref{Instrument transpositions},
+@ref{Inversion},
@ref{Modal transformations},
-@ref{Instrument transpositions}.
+@ref{Relative octave entry},
+@ref{Retrograde}.
Snippets:
@rlsr{Pitches}.
}
@end lilypond
+@seealso
+Notation Reference:
+@ref{Modal transformations},
+@ref{Retrograde},
+@ref{Transpose}.
+
+
+@node Retrograde
+@unnumberedsubsubsec Retrograde
+
+@cindex retrograde transformation
+@cindex transformation, retrograde
+@cindex operation, retrograde
+@funindex \retrograde
+@funindex retrograde
+
+A music expression can be reversed to produce its retrograde:
+
+@lilypond[verbatim,quote]
+music = \relative c' { c8. ees16( fis8. a16 b8.) gis16 f8. d16 }
+
+\new Staff {
+ \music
+ \retrograde \music
+}
+@end lilypond
+
+@knownissues
+Manual ties inside @code{\retrograde} will be broken and
+generate warnings. Some ties can be generated automatically
+by enabling @ref{Automatic note splitting}.
+
+@seealso
+Notation Reference:
+@ref{Inversion},
+@ref{Modal transformations},
+@ref{Transpose}.
+
+
@node Modal transformations
@unnumberedsubsubsec Modal transformations
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).
+@notation{transposed} to start at different places in the scale or
+it may be @notation{inverted} around a pivot point in the scale.
+It may also be reversed to produce its @notation{retrograde}, see
+@ref{Retrograde}.
@warning{Any note that does not lie within the given scale will be
left untransformed.}
}
@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:
@seealso
Notation Reference:
+@ref{Inversion},
+@ref{Retrograde},
@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