-% bolletjes.mf
-% part of LilyPond's pretty-but-neat music font
+% -*-Fundamental-*-
+% feta-bolletjes.mf -- implement noteheads
+%
+% source file of LilyPond's pretty-but-neat music font
+%
+% (c) 1997--2000 Jan Nieuwenhuizen <janneke@gnu.org>
+% & Han-Wen Nienhuys <hanwen@cs.uu.nl>
+%
+
% most beautiful noteheads are pronounced, not circular,
% and not even symmetric.
% These examples are inspired by [Wanske], see literature list
-fet_begingroup("balls");
+save black_notehead_width;
+numeric black_notehead_width;
-noteheight#:=interline#+ (1 + overdone_heads) *stafflinethickness#;
+fet_begingroup("noteheads");
+noteheight#:=staff_space#+ (1 + overdone_heads) *stafflinethickness#;
define_pixels(noteheight);
+%%%%%%%%
+%
+%
+%
+% MENSURAL NOTATION
+%
+%
+%
+brevis_wid# := 2 staff_space#;
-def draw_brevis =
+def draw_brevis(expr brevwid) =
save beamheight, head_width;
save holeheight, stem_width;
save serif_size, serif_protrude;
- head_width# = 2 interline#;
+ head_width# = brevwid;
holeheight = 3 stafflinethickness;
stem_width = 1.4 stafflinethickness;
-- z4l -- z4r -- z3r{left} .. z2r{up} -- cycle;
addto currentpicture also currentpicture yscaled -1;
- addto currentpicture also currentpicture reflectedabout(z4r, z4l);
-enddef;
+ show z4r; show z4l;
+ addto currentpicture also currentpicture
+ shifted (-x4r,0) xscaled -1 shifted (x4l,0);
-fet_beginchar("Brevis notehead", "-1", "brevisball")
- draw_brevis;
-fet_endchar;
+enddef;
%
% Some sources (eg Musix/OpusTeX think that the appendage should be on
-% the right, my only other ref [Willemze], shows an appendage to the left
+% the left, some say right. Right wins democratically.
%
-fet_beginchar("Longa notehead", "-2", "longaball");
- draw_brevis;
+def draw_longa (expr wid) =
+ draw_brevis(wid);
save theta;
- z7 = z5;
- z6 - z7 = (-stem_width/2, -interline);
+
+ x7r = head_width;
+ y7 = y5;
+% z7 = z5;
+ z6 - z7 = (stem_width/2, -staff_space);
theta = angle(z6-z7)+ 90;
penpos7(stem_width, theta);
penpos6(1.2 stem_width, theta);
fill z7r .. z6r{z6-z7} .. {z7-z6} z6l -- z7l -- cycle;
penlabels(6,7);
+enddef;
+
+%
+% En wij presenteren U: de opvolgster van Emily
+%
+% (ze is wel breed)
+%
+fet_beginchar("Maxima notehead", "-3mensural", "mensuralmaximahead");
+ draw_longa (1.3 brevis_wid#)
+fet_endchar;
+
+fet_beginchar("Longa notehead", "-2mensural", "mensurallongahead");
+ draw_longa (brevis_wid#)
+fet_endchar;
+
+fet_beginchar("Brevis notehead", "-1mensural", "mensuralbrevishead")
+ draw_brevis(brevis_wid#);
+fet_endchar;
+
+def draw_mensural_black_head (expr wid) =
+ save head_width;
+ head_width# = wid;
+ set_char_box (0, head_width#, noteheight#/2, noteheight#/2);
+
+
+ y3 = y1 =0;
+ x2 = x4 = (x1 + x3) /2;
+ define_pixels (head_width);
+ pickup pencircle scaled blot_diameter;
+ top y2 = h;
+ bot y4 = -d;
+ lft x1 = 0;
+ rt x3 = w;
+
+ filldraw z1 -- z2 -- z3 -- z4 -- cycle;
+enddef;
+
+def draw_mensural_open_head (expr wid)=
+ draw_mensural_black_head (wid);
+ save diamNW, diamSW;
+ diamNW = length (z2 - z1) + blot_diameter;
+ diamSW = length (z4 - z1) + blot_diameter;
+
+ save hole_widthNW, hole_widthSW;
+ hole_widthNW = 0.34 diamNW ;
+ hole_widthSW + 2.6 stafflinethickness = diamSW;
+
+ (z7 + z5)/2 = (w/2, 0);
+ (z8 + z6)/2 = (w/2, 0);
+ (z6 - z5) = hole_widthNW * unitvector (z2 - z1);
+ (z7 - z6) = hole_widthSW * unitvector (z4 - z1);
+
+ labels (1,2,3,4,5,6,7,8);
+
+ unfill z5 -- z6 -- z7 -- z8 --cycle;
+enddef;
+
+fet_beginchar("Mensural open head","0mensural","mensuralminimhead")
+ draw_mensural_open_head (staff_space#);
fet_endchar;
+fet_beginchar("Mensural open head","1mensural","mensuralsemiminimhead")
+ draw_mensural_open_head (staff_space#);
+fet_endchar;
+
+fet_beginchar("Mensural black head","2mensural","fusahead")
+ draw_mensural_black_head (staff_space#);
+fet_endchar;
+
+
+%%%%%%%%%%%%
+%
+%
+% ledger (leger) lines
+%
+fet_beginchar("Ledger ending", "ledgerending", "ledgerending")
+set_char_box (5/2 ledgerlinethickness#, 5/2 ledgerlinethickness#,
+ ledgerlinethickness#/2,ledgerlinethickness#/2);
+ pickup pencircle scaled 1.3 blot_diameter;
+
+ rt x2 = w;
+ lft x1 = -b;
+ x3 = x2;
+ bot y1 = -d;
+ y2 = y1;
+
+ top y3 = h;
+ y4 = y3;
+ x4 = x1;
+
+ filldraw z1 --- z2 --- z3 --- z4 --- cycle ;
+fet_endchar;
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%
+%
+%
+%
+% TODO: Document these!
+
% setup user vars
def setup_notehead_vars =
save a_b,err_y_a,tilt,superness;
enddef;
-% whole note
-% Wanske, p.38
-fet_beginchar("Whole notehead", "0", "wholeball")
+def draw_whole_head =
setup_notehead_vars;
a_b:=1.80;
a_w:=1; % no rotate-> no width correction
notehead_calc;
+ whole_notehead_width# := wd#;
notehead_draw;
+enddef;
+
+
+%
+% dimensions aren't entirely right.
+%
+fet_beginchar ("Brevis notehead", "-1", "brevishead");
+ save stemthick, fudge;
+ define_pixels (stemthick);
+ fudge = blot_diameter /2;
+ stemthick# = 2 stafflinethickness#;
+
+ draw_whole_head;
+
+ pickup pencircle scaled stemthick;
+
+ bot y1 = -d;
+ top y2 = h;
+ rt x1 - fudge = 0;
+ x1 = x2;
+
+ fudge + lft x3 = w;
+ x4 = x3;
+ y4 = y2;
+ y3 = y1;
+
+ draw z1 -- z2;
+ draw z3 -- z4;
+fet_endchar;
+
+% whole note
+% Wanske, p.38
+fet_beginchar("Whole notehead", "0", "wholehead")
+ draw_whole_head;
fet_endchar;
+
% half note
% Wanske, p.39
fet_beginchar("Half notehead", "1",
- "halfball")
+ "halfhead")
setup_notehead_vars;
% a_b:=1.49; % after text
a_b:=1.50; % after drawing
a_w:=1.12;
notehead_calc;
+ half_notehead_width# := wd#;
notehead_draw;
fet_endchar;
+
% quarter note
% Wanske p.38
-fet_beginchar("Quart notehead", "2", "quartball")
+fet_beginchar("Quart notehead", "2", "quarthead")
setup_notehead_vars;
% a_b:=1.57; % after text
a_b:=1.54; % after drawing
a_w:=1.09;
notehead_calc;
+ black_notehead_width# := wd#;
+ notehead_draw;
+fet_endchar;
+
+
+% whole note
+% Wanske, p.38
+fet_beginchar("Whole diamondhead", "0diamond", "wholediamondhead")
+ setup_notehead_vars;
+
+ a_b:=1.80;
+ err_y_a:=0; % no slant
+ tilt:=0;
+ superness:=0.495;
+ ai_a:=0.350;
+ % ai_bi:=1.23;
+ ai_bi:=1.30; % jcn
+ % err_y_ai:=0.0938;
+ % err_x_bi:=0;
+ err_y_ai:=0;
+ err_x_bi:=0.115;
+ % inner_tilt:=135;
+ inner_tilt:=125; % jcn
+ % inner_superness:=0.69;
+ inner_superness:=0.6; % jcn
+ b_h:=1; %no rotate-> no height correction
+ a_w:=1; % no rotate-> no width correction
+
+ notehead_calc;
+ whole_notehead_width# := wd#;
+ notehead_draw;
+fet_endchar;
+
+
+% half note
+% Wanske, p.39
+fet_beginchar("Half diamondhead", "1diamond",
+ "halfdiamondhead")
+ setup_notehead_vars;
+
+ a_b := 1.50; % after drawing
+ err_y_a:=0.157;
+
+ tilt:=34;
+ superness:=0.49; % jcn
+ ai_a:=0.550; % jcn
+ ai_bi:=3.30; % jcn
+
+ err_y_ai:=0;
+ err_x_bi:=-0.12;
+ inner_tilt:=tilt;
+ inner_superness:=0.80;
+
+ b_h:= 1.03;
+ a_w:= 1.2;
+
+ notehead_calc;
+ half_notehead_width# := wd#;
notehead_draw;
fet_endchar;
+% quarter note
+% Wanske p.38
+fet_beginchar("Quart diamondhead", "2diamond", "diamondhead")
+ set_char_box(0, black_notehead_width#, noteheight#/2, noteheight#/2);
+ save a_b,err_y_a,tilt,superness;
+ save b_h,a_w;
+ save a,beta,ai,bi, ht, wd;
+
+ a_b:= 1.8;
+ err_y_a:=-0.044;
+ b_h:=0.90;
+ a_w:=1.1;
+ tilt:=35;
+ superness:=0.495;
+
+ ht# =noteheight#;
+ 2beta#=ht#*b_h;
+ a# = beta#*a_b;
+
+ define_pixels(a,beta);
+
+ black := distorted_ellipse(.72 noteheight, .45 noteheight, -.2 noteheight , 0, superness)
+
+% beta,a*err_y_a,0,superness);
+
+ black:=black rotated tilt;
+ black:=black shifted (w/2,0);
+ fill black;
+fet_endchar;
+
+fet_beginchar("Crossed notehead", "2cross", "crossedhead")
+ set_char_box(0, black_notehead_width#, noteheight#/2, noteheight#/2);
+ pickup pencircle scaled 1.5 stafflinethickness;
+ lft x1 = 0;
+ bot y1 = -d;
+ top y2 = h;
+ rt x2 = w;
+ draw z1 .. z2;
+ draw (z1 .. z2) yscaled -1;
+fet_endchar
-fet_endgroup("balls");
+fet_endgroup("noteheads");
+define_pixels(black_notehead_width);