2 % parmesan-heads.mf -- implement ancient note heads
4 % source file of LilyPond's pretty-but-neat music font
6 % (c) 2001--2002 Juergen Reuter <reuter@ipd.uka.de>
9 save black_notehead_width;
10 numeric black_notehead_width;
12 fet_begingroup ("noteheads")
14 noteheight#:=staff_space# + (1 + overdone_heads)*stafflinethickness#;
15 define_pixels(noteheight);
26 brevis_wid# := 2 staff_space#;
28 def draw_neo_brevis(expr brevwid) =
29 save beamheight, head_width;
30 save holeheight, stem_width;
31 save serif_size, serif_protrude;
33 head_width# = brevwid;
34 holeheight = 3 stafflinethickness;
35 stem_width = 1.4 stafflinethickness;
38 define_pixels(head_width);
39 set_char_box(0, head_width#, noteheight#/2, noteheight#/2);
41 2 beamheight + holeheight = noteheight;
42 serif_size = (holeheight - stafflinethickness)/2;
43 serif_protrude = 1.5 serif_size;
44 penpos1(stem_width, 0);
45 penpos2(stem_width, 0);
46 penpos3(beamheight, 90);
47 penpos4(beamheight, 90);
48 penpos5(stem_width, 180);
51 z2l = (0, -stafflinethickness/2);
52 z3r = z2r + serif_size *(1,-1);
55 z5l = z3l + (-serif_size, -serif_protrude);
57 penlabels(1,2,3,4, 5);
58 fill z1r -- z1l -- z5r{down} .. z5l{up} .. z3l{right}
59 -- z4l -- z4r -- z3r{left} .. z2r{up} -- cycle;
61 addto currentpicture also currentpicture yscaled -1;
63 addto currentpicture also currentpicture
64 shifted (-x4r,0) xscaled -1 shifted (x4l,0);
69 def draw_neo_left_stemmed_head (expr wid) =
72 x6 = x7 = head_width - stem_width/2;
74 y7 = y5 - 2.25staff_space;
75 pickup pencircle scaled stem_width;
79 fet_beginchar("Left stemmed notehead", "lneo_mensural", "mensuralleftstemmedhead");
80 draw_neo_left_stemmed_head (brevis_wid#)
84 % Some sources (eg Musix/OpusTeX think that the appendage should be on
85 % the left, some say right. Right wins democratically.
87 def draw_neo_longa (expr wid) =
94 z6 - z7 = (stem_width/2, -staff_space);
95 theta = angle(z6-z7)+ 90;
96 penpos7(stem_width, theta);
97 penpos6(1.2 stem_width, theta);
99 fill z7r .. z6r{z6-z7} .. {z7-z6} z6l -- z7l -- cycle;
104 % En wij presenteren U: de opvolgster van Emily
108 fet_beginchar("Maxima notehead", "-3neo_mensural", "mensuralmaximahead");
109 draw_neo_longa (1.3 brevis_wid#)
112 fet_beginchar("Longa notehead", "-2neo_mensural", "mensurallongahead");
113 draw_neo_longa (brevis_wid#)
116 fet_beginchar("Brevis notehead", "-1neo_mensural", "mensuralbrevishead")
117 draw_neo_brevis(brevis_wid#);
120 def draw_neo_mensural_black_head (expr wid) =
123 set_char_box (0, head_width#, noteheight#/2, noteheight#/2);
127 x2 = x4 = (x1 + x3) /2;
128 define_pixels (head_width);
129 pickup pencircle scaled blot_diameter;
135 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
138 def draw_neo_mensural_open_head (expr wid)=
139 draw_neo_mensural_black_head (wid);
141 diamNW = length (z2 - z1) + blot_diameter;
142 diamSW = length (z4 - z1) + blot_diameter;
144 save hole_widthNW, hole_widthSW;
145 hole_widthNW = 0.34 diamNW ;
146 hole_widthSW + 2.6 stafflinethickness = diamSW;
148 (z7 + z5)/2 = (w/2, 0);
149 (z8 + z6)/2 = (w/2, 0);
150 (z6 - z5) = hole_widthNW * unitvector (z2 - z1);
151 (z7 - z6) = hole_widthSW * unitvector (z4 - z1);
153 labels (1,2,3,4,5,6,7,8);
155 unfill z5 -- z6 -- z7 -- z8 --cycle;
158 fet_beginchar("Neo-mensural open head","0neo_mensural","neomensuralsemibrevishead")
159 draw_neo_mensural_open_head (staff_space#);
162 fet_beginchar("Neo-mensural open head","1neo_mensural","neomensuralminimahead")
163 draw_neo_mensural_open_head (staff_space#);
166 fet_beginchar("Neo-mensural black head","2neo_mensural","neomensuralsemiminimahead")
167 draw_neo_mensural_black_head (staff_space#);
171 brevis_wid# := 1 staff_space#;
173 def draw_brevis (expr wid) =
174 % TODO. For the moment, fall back to draw_neo_brevis.
175 draw_neo_brevis(wid);
178 def draw_left_stemmed_head (expr wid) =
182 x6 = x7 = stem_width/2;
184 y7 = y5 - 2.25staff_space;
185 pickup pencircle scaled stem_width;
189 fet_beginchar("Left stemmed notehead", "lmensural", "mensuralleftstemmedhead");
190 draw_left_stemmed_head (brevis_wid#)
193 def draw_longa (expr wid) =
196 x6 = x7 = head_width - stem_width/2;
198 y7 = y5 - 2.25staff_space;
199 pickup pencircle scaled stem_width;
203 fet_beginchar("Maxima notehead", "-3mensural", "mensuralmaximahead");
204 draw_longa (2.0 brevis_wid#)
207 fet_beginchar("Longa notehead", "-2mensural", "mensurallongahead");
208 draw_longa (brevis_wid#)
211 fet_beginchar("Brevis notehead", "-1mensural", "mensuralbrevishead")
212 draw_brevis(brevis_wid#);
215 def draw_mensural_head (expr wid, open) =
218 set_char_box (head_width#/2, head_width#/2,
219 noteheight#/2, noteheight#/2);
221 define_pixels(head_width, noteheight);
224 y1 = x2 = y3 = x4 = 0;
226 y2 = 1.4 noteheight/2;
230 xscaled 0.15 head_width
231 yscaled 0.30 head_width
234 % pencircle width correction
235 save zc, zd; pair zc, zd;
236 zc = (+0.150 head_width * sind(30), +0.150 head_width * cosd(30));
237 zd = (+0.075 head_width * sind(30), -0.075 head_width * cosd(30));
240 draw (z1+zc+zd) -- (z2-zc+zd) --
241 (z3-zc-zd) -- (z4+zc-zd) -- cycle;
243 filldraw (z1+zc+zd) -- (z2-zc+zd) --
244 (z3-zc-zd) -- (z4+zc-zd) -- cycle;
249 fet_beginchar("Mensural open head","0mensural","mensuralsemibrevishead")
250 draw_mensural_head (staff_space#, true);
253 fet_beginchar("Mensural open head","1mensural","mensuralminimahead")
254 draw_mensural_head (staff_space#, true);
257 fet_beginchar("Mensural black head","2mensural","mensuralsemiminimahead")
258 draw_mensural_head (staff_space#, false);
265 % ledger (leger) lines
268 fet_beginchar("Ledger ending", "ledgerending", "ledgerending")
269 set_char_box (5/2 ledgerlinethickness#, 5/2 ledgerlinethickness#,
270 ledgerlinethickness#/2,ledgerlinethickness#/2);
271 pickup pencircle scaled 1.3 blot_diameter;
283 filldraw z1 --- z2 --- z3 --- z4 --- cycle ;
291 % EDITIO VATICANA (including solesmes extensions)
296 % parameterized punctum
297 def punctum_char (expr verbose_name, internal_name, mudela_name,
298 left_stem, right_stem, linea, cavum,
299 straight, auctum, direction_up, excentric, up_shift, mag) =
301 fet_beginchar(verbose_name, internal_name, mudela_name)
303 a_b := 1.54; % b_h*a_b/a_w = wd/ht
307 save a, beta, ht, wd;
308 ht# = noteheight#; %% * mag;
312 set_char_box(0.00wd#, 0.40wd#, 0.5ht#, 0);
313 black_notehead_width# := wd#;
316 save direction, direction_sign;
323 direction_sign# = -1;
326 % convexity and excentricity
327 save u_convexity, u_excentricity;
329 u_convexity# = -0.01ht#;
330 u_excentricity# = 0.0ht#; % dummy
332 u_convexity# = -0.03ht#;
333 u_excentricity# = +0.25ht#;
335 u_convexity# = -0.05ht#;
336 u_excentricity# = 0.0ht#; % dummy
338 save convexity, excentricity;
339 convexity# = direction_sign# * u_convexity#;
340 excentricity# = direction_sign# * u_excentricity#;
350 define_pixels(convexity, excentricity, yoffs, ht, wd);
351 pickup pencircle scaled stafflinethickness;
354 save height, yoffs_bt;
355 define_pixels (height, yoffs_bt);
356 height# = max (0.5ht# - stafflinethickness#, 0);
357 yoffs_bt# = yoffs# - (height# - stafflinethickness#)/2 -
359 xpart z1a = xpart z1b;
360 xpart z2a = xpart z2b;
361 xpart z3a = xpart z3b;
362 ypart z1a + height = ypart z1b;
363 ypart z2a + height = ypart z2b;
364 ypart z3a + height = ypart z3b;
367 z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
368 z2a = (0.20wd, yoffs_bt + 1.0*convexity);
369 z3a = (0.40wd - stafflinethickness/2,
370 yoffs_bt + 1.0*excentricity);
371 p = z1a .. {right}z2a .. {direction}z3a --
372 z3b{-direction} .. z2b{left} .. z1b -- cycle;
374 z1a = (0.00wd + stafflinethickness/2,
375 yoffs_bt - 1.0*convexity);
376 z2a = (0.08wd, yoffs_bt + 1.4*convexity);
377 z3a = (0.40wd - stafflinethickness/2, yoffs_bt);
378 p = z1a{direction} .. z2a{right} .. z3a --
379 z3b .. {left}z2b .. {-direction}z1b -- cycle;
381 z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
382 z2a = (0.20wd, yoffs_bt + 1.0*convexity);
383 z3a = (0.40wd - stafflinethickness/2, yoffs_bt);
384 p = z1a .. z2a .. z3a --
385 z3b .. z2b .. z1b -- cycle;
395 pickup pencircle scaled stafflinethickness;
398 z5=(0.00wd + stafflinethickness/2, yoffs);
399 z6=(0.00wd + stafflinethickness/2, yoffs - 1.5ht);
404 z5=(0.40wd - stafflinethickness/2, yoffs);
405 z6=(0.40wd - stafflinethickness/2, yoffs - 1.5ht);
410 save linea_width, linea_height;
411 linea_width# = stafflinethickness#;
412 linea_height# = 0.85 ht#;
413 define_pixels (linea_width, linea_height);
414 draw_block ((-0.10wd - linea_width/2,
415 yoffs - linea_height/2),
416 (-0.10wd + linea_width/2,
417 yoffs + linea_height/2));
418 draw_block ((+0.50wd - linea_width/2,
419 yoffs - linea_height/2),
420 (+0.50wd + linea_width/2,
421 yoffs + linea_height/2));
426 % parameterized punctum inclinatum
427 def inclinatum_char(expr verbose_name, internal_name, mudela_name,
428 small, stropha, auctum) =
430 fet_beginchar(verbose_name, internal_name, mudela_name)
433 a_b := 1.54; % b_h*a_b/a_w = wd/ht
437 save a, beta, ht, wd;
442 set_char_box(0.2wd#, 0.2wd#, 0.5 ht#, 0.5 ht#);
443 black_notehead_width# := wd#;
445 save za, alpha, size;
448 define_pixels(ht, wd);
459 xscaled blot_diameter
460 yscaled size rotated -alpha;
461 za = (0, size - blot_diameter/2) / 2 rotated alpha;
467 yscaled size rotated alpha;
468 save za, off_angle; pair za;
470 za = (0, -size) / 2 rotated -(alpha + off_angle);
475 pickup pencircle scaled stafflinethickness;
478 za = ((0, -size) rotated -alpha) +
479 (0, stafflinethickness/2);
482 draw za{(0,-1) rotated alpha} ..
483 {(0,1) rotated -alpha}zb;
489 punctum_char("Ed. Vat. punctum", "vaticana_punctum", "vatpunctumhead",
490 false, false, false, false, false,
491 false, false, false, false, 1.0);
493 % punctum cavum (for OpusTeX compatibility)
494 punctum_char("Ed. Vat. punctum cavum", "vaticana_punctum_cavum",
495 "vatpunctumcavumhead",
496 false, false, false, true, false,
497 false, false, false, false, 1.0);
499 % linea punctum (for OpusTeX compatibility)
500 punctum_char("Ed. Vat. linea punctum", "vaticana_linea_punctum",
501 "vatlineapunctumhead",
502 false, false, true, false, false,
503 false, false, false, false, 1.0);
505 % linea punctum cavum (for OpusTeX compatibility)
506 punctum_char("Ed. Vat. linea punctum cavum", "vaticana_linea_punctum_cavum",
507 "vatlineapunctumcavumhead",
508 false, false, true, true, false,
509 false, false, false, false, 1.0);
512 inclinatum_char("Ed. Vat. inclinatum", "vaticana_inclinatum",
514 false, false, false);
516 % virga (i.e. right stemmed punctum)
517 punctum_char("Ed. Vat. virga", "vaticana_virga", "vatvirgahead",
518 false, true, false, false, false,
519 false, false, false, false, 1.0);
521 % left stemmed punctum as used in clivis (flexa) ligature
522 punctum_char("Ed. Vat. reverse virga", "vaticana_rvirga", "vatrvirgahead",
523 true, false, false, false, false,
524 false, false, false, false, 1.0);
527 punctum_char("Ed. Vat. pes lower punctum", "vaticana_lpes", "vatlpeshead",
528 false, false, false, false, true,
529 false, true, false, false, 1.0);
532 punctum_char("Ed. Vat. pes upper punctum", "vaticana_upes", "vatupeshead",
533 false, false, false, false, true,
534 false, false, false, false, 1.0);
536 % pes upper punctum (shifted variation)
538 % Note: This note head is used instead of the regular pes upper
539 % punctum to avoid collision with the lower punctum note of the pes when
540 % the upper punctum sits directly on top of the lower punctum.
542 punctum_char("Ed. Vat. var pes upper punctum", "vaticana_vupes",
544 false, false, false, false, true,
545 false, false, false, true, 1.0);
547 % small punctum as used in epiphonus/cephalicus
548 punctum_char("Ed. Vat. plica", "vaticana_plica", "vatplicahead",
549 false, false, false, false, true,
550 false, false, false, false, 0.5);
552 % excentric punctum as used in epiphonus
553 punctum_char("Ed. Vat. epiphonus", "vaticana_epiphonus", "vatepiphonushead",
554 false, false, false, false, false,
555 false, true, true, false, 1.0);
557 % excentric punctum as used in cephalicus
558 punctum_char("Ed. Vat. cephalicus", "vaticana_cephalicus",
560 false, false, false, false, false,
561 false, false, true, false, 1.0);
564 fet_beginchar("Ed. Vat. quilisma", "vaticana_quilisma", "vatquilismahead")
566 a_b:=1.54; % b_h*a_b/a_w = wd/ht
570 save a, beta, ht, wd;
575 set_char_box(0.5stafflinethickness#, 0.40wd# + 0.5stafflinethickness#,
577 black_notehead_width# := wd#;
579 define_pixels(ht, wd);
580 pickup pencircle xscaled stafflinethickness yscaled 0.4ht;
581 z1 = (0.00wd, -0.11ht);
582 z2 = (0.00wd, +0.06ht);
583 z3 = (0.10wd, -0.05ht);
584 z4 = (0.16wd, +0.11ht);
585 z5 = (0.24wd, -0.01ht);
586 z6 = (0.30wd, +0.15ht);
587 z7 = (0.40wd, +0.04ht);
588 z8 = (0.40wd, +0.21ht);
589 draw z1 -- z2 -- z3 -- z4 -- z5 -- z6 -- z7 -- z8;
592 % solesmes punctum inclinatum parvum
593 inclinatum_char("Solesmes punctum inclinatum parvum", "solesmes_incl_parvum",
597 % solesmes punctum auctum ascendens
598 punctum_char("Solesmes punctum auctum ascendens", "solesmes_auct_asc",
600 false, false, false, false, false,
601 true, true, false, false, 1.0);
603 % solesmes punctum auctum descendens
604 punctum_char("Solesmes punctum auctum descendens", "solesmes_auct_desc",
606 false, false, false, false, false,
607 true, false, false, false, 1.0);
609 % solesmes punctum inclinatum auctum
610 inclinatum_char("Solesmes punctum incl. auctum", "solesmes_incl_auctum",
611 "solpunctuminclinatumauctumhead",
615 inclinatum_char("Solesmes stropha", "solesmes_stropha",
619 % solesmes stropha aucta
620 inclinatum_char("Solesmes stropha aucta", "solesmes_stropha_aucta",
621 "solstrophaauctahead",
625 fet_beginchar("Solesmes oriscus", "solesmes_oriscus",
628 a_b := 1.54; % b_h*a_b/a_w = wd/ht
632 save a, beta, ht, wd;
633 ht# = noteheight#; %% * mag;
637 set_char_box(0.0wd#, 0.5wd#, 0.5ht#, 0.5ht#);
638 black_notehead_width# := wd#;
641 convexity# = +0.05ht#;
643 define_pixels(ht, wd, convexity);
644 pickup pencircle xscaled blot_diameter yscaled 0.50ht;
645 z1 = (0.00wd, -convexity);
646 z2 = (0.16wd, +convexity);
647 z3 = (0.33wd, -convexity);
648 z4 = (0.50wd, +convexity);
649 draw z1 .. z2 .. z3 .. z4;
662 fet_beginchar("Ed. Med. inclinatum", "medicaea_inclinatum",
665 a_b := 1.54; % b_h*a_b/a_w = wd/ht
669 save a, beta, ht, wd;
674 set_char_box(wd#/2, wd#/2, 0.5 ht#, 0.5 ht#);
675 black_notehead_width# := wd#;
677 save za, alpha, size;
679 define_pixels(ht, wd);
683 xscaled blot_diameter
684 yscaled size rotated -alpha;
685 za = (0, size) / 2 rotated alpha;
690 % parametrized punctum
691 def punctum_char (expr verbose_name, internal_name, mudela_name,
692 left_up_stem, left_down_stem) =
694 fet_beginchar(verbose_name, internal_name, mudela_name)
696 save a, beta, ht, wd;
697 ht# = 2 staff_space#;
699 set_char_box(0.0, 0.4wd#, 0.5ht#, 0.5ht#);
700 black_notehead_width# := wd#;
702 define_pixels(ht, wd);
704 xscaled blot_diameter
706 z1 = (0.00wd + blot_diameter/2, 0);
707 z2 = (0.40wd - blot_diameter/2, 0);
711 xscaled stafflinethickness
712 yscaled blot_diameter;
715 z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
716 z5=(0.00wd + stafflinethickness/2, - 1.25ht);
719 z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
720 z5=(0.00wd + stafflinethickness/2, + 1.25ht);
728 punctum_char("Ed. Med. punctum", "medicaea_punctum", "medpunctumhead",
731 % left up-stemmed punctum
732 punctum_char("Ed. Med. reverse virga", "medicaea_rvirga", "medrvirgahead",
735 % virga (i.e. left down-stemmed punctum)
736 punctum_char("Ed. Med. virga", "medicaea_virga", "medvirgahead",
749 % parametrized punctum
750 def punctum_char (expr verbose_name, internal_name, mudela_name,
753 fet_beginchar(verbose_name, internal_name, mudela_name)
755 a_b := 1.54; % b_h*a_b/a_w = wd/ht
759 save a, beta, ht, wd;
764 set_char_box(wd#/2, wd#/2, 0.5 ht#, 0.5 ht#);
765 black_notehead_width# := wd#;
767 save za, zb, zc, alpha, size;
769 define_pixels(ht, wd);
773 xscaled blot_diameter
774 yscaled size rotated -alpha;
775 za = (0, size) / 2 rotated alpha;
780 zc = (0.00wd, - 1.25ht);
787 punctum_char("Hufnagel punctum", "hufnagel_punctum", "hufpunctumhead", false)
790 punctum_char("Hufnagel virga", "hufnagel_virga", "hufvirgahead", true)
793 fet_beginchar("Hufnagel pes lower punctum", "hufnagel_lpes", "huflpeshead")
795 a_b := 1.54; % b_h*a_b/a_w = wd/ht
799 save a, beta, ht, wd;
804 set_char_box(wd#, wd#, 0.7 ht#, 0.7 ht#);
805 black_notehead_width# := wd#;
807 save za, alpha, size;
809 define_pixels(ht, wd);
813 xscaled blot_diameter
814 yscaled size rotated -alpha;
819 fet_endgroup ("noteheads")