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_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);
70 % Some sources (eg Musix/OpusTeX think that the appendage should be on
71 % the left, some say right. Right wins democratically.
73 def draw_longa (expr wid) =
80 z6 - z7 = (stem_width/2, -staff_space);
81 theta = angle(z6-z7)+ 90;
82 penpos7(stem_width, theta);
83 penpos6(1.2 stem_width, theta);
85 fill z7r .. z6r{z6-z7} .. {z7-z6} z6l -- z7l -- cycle;
90 % En wij presenteren U: de opvolgster van Emily
94 fet_beginchar("Maxima notehead", "-3mensural", "mensuralmaximahead");
95 draw_longa (1.3 brevis_wid#)
98 fet_beginchar("Longa notehead", "-2mensural", "mensurallongahead");
99 draw_longa (brevis_wid#)
102 fet_beginchar("Brevis notehead", "-1mensural", "mensuralbrevishead")
103 draw_brevis(brevis_wid#);
106 def draw_neo_mensural_black_head (expr wid) =
109 set_char_box (0, head_width#, noteheight#/2, noteheight#/2);
113 x2 = x4 = (x1 + x3) /2;
114 define_pixels (head_width);
115 pickup pencircle scaled blot_diameter;
121 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
124 def draw_neo_mensural_open_head (expr wid)=
125 draw_neo_mensural_black_head (wid);
127 diamNW = length (z2 - z1) + blot_diameter;
128 diamSW = length (z4 - z1) + blot_diameter;
130 save hole_widthNW, hole_widthSW;
131 hole_widthNW = 0.34 diamNW ;
132 hole_widthSW + 2.6 stafflinethickness = diamSW;
134 (z7 + z5)/2 = (w/2, 0);
135 (z8 + z6)/2 = (w/2, 0);
136 (z6 - z5) = hole_widthNW * unitvector (z2 - z1);
137 (z7 - z6) = hole_widthSW * unitvector (z4 - z1);
139 labels (1,2,3,4,5,6,7,8);
141 unfill z5 -- z6 -- z7 -- z8 --cycle;
144 fet_beginchar("Neo-mensural open head","0neo_mensural","neomensuralminimhead")
145 draw_neo_mensural_open_head (staff_space#);
148 fet_beginchar("Neo-mensural open head","1neo_mensural","neomensuralsemiminimhead")
149 draw_neo_mensural_open_head (staff_space#);
152 fet_beginchar("Neo-mensural black head","2neo_mensural","neofusahead")
153 draw_neo_mensural_black_head (staff_space#);
157 def draw_mensural_head (expr wid, open) =
160 set_char_box (head_width#/2, head_width#/2,
161 noteheight#/2, noteheight#/2);
163 define_pixels(head_width, noteheight);
166 y1 = x2 = y3 = x4 = 0;
168 y2 = 1.4 noteheight/2;
172 xscaled 0.15 head_width
173 yscaled 0.30 head_width
176 % pencircle width correction
177 save zc, zd; pair zc, zd;
178 zc = (+0.150 head_width * sind(30), +0.150 head_width * cosd(30));
179 zd = (+0.075 head_width * sind(30), -0.075 head_width * cosd(30));
182 draw (z1+zc+zd) -- (z2-zc+zd) --
183 (z3-zc-zd) -- (z4+zc-zd) -- cycle;
185 filldraw (z1+zc+zd) -- (z2-zc+zd) --
186 (z3-zc-zd) -- (z4+zc-zd) -- cycle;
191 fet_beginchar("Mensural open head","0mensural","mensuralminimhead")
192 draw_mensural_head (staff_space#, true);
195 fet_beginchar("Mensural open head","1mensural","mensuralsemiminimhead")
196 draw_mensural_head (staff_space#, true);
199 fet_beginchar("Mensural black head","2mensural","fusahead")
200 draw_mensural_head (staff_space#, false);
207 % ledger (leger) lines
209 fet_beginchar("Ledger ending", "ledgerending", "ledgerending")
210 set_char_box (5/2 ledgerlinethickness#, 5/2 ledgerlinethickness#,
211 ledgerlinethickness#/2,ledgerlinethickness#/2);
212 pickup pencircle scaled 1.3 blot_diameter;
224 filldraw z1 --- z2 --- z3 --- z4 --- cycle ;
232 % EDITIO VATICANA (including solesmes extensions)
237 % parameterized punctum
238 def punctum_char (expr verbose_name, internal_name, mudela_name,
239 left_stem, right_stem, linea, cavum,
240 straight, auctum, direction_up, excentric, up_shift, mag) =
242 fet_beginchar(verbose_name, internal_name, mudela_name)
244 a_b := 1.54; % b_h*a_b/a_w = wd/ht
248 save a, beta, ht, wd;
249 ht# = noteheight# * mag;
253 set_char_box(0.50wd#, 0.10wd#, 0.5ht#, 0);
254 black_notehead_width# := wd#;
257 save direction, direction_sign;
264 direction_sign# = -1;
267 % convexity and excentricity
268 save u_convexity, u_excentricity;
270 u_convexity# = -0.01ht#;
271 u_excentricity# = 0.0ht#; % dummy
273 u_convexity# = -0.03ht#;
274 u_excentricity# = +0.25ht#;
276 u_convexity# = -0.05ht#;
277 u_excentricity# = 0.0ht#; % dummy
279 save convexity, excentricity;
280 convexity# = direction_sign# * u_convexity#;
281 excentricity# = direction_sign# * u_excentricity#;
291 define_pixels(convexity, excentricity, yoffs, ht, wd);
292 pickup pencircle scaled stafflinethickness;
295 save height, yoffs_bt;
296 define_pixels (height, yoffs_bt);
297 height# = max (0.5ht# - stafflinethickness#, 0);
298 yoffs_bt# = yoffs# - (height# - stafflinethickness#)/2 -
300 xpart z1a = xpart z1b;
301 xpart z2a = xpart z2b;
302 xpart z3a = xpart z3b;
303 ypart z1a + height = ypart z1b;
304 ypart z2a + height = ypart z2b;
305 ypart z3a + height = ypart z3b;
308 z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
309 z2a = (0.20wd, yoffs_bt + 1.0*convexity);
310 z3a = (0.40wd - stafflinethickness/2,
311 yoffs_bt + 1.0*excentricity);
312 p = z1a .. {right}z2a .. {direction}z3a --
313 z3b{-direction} .. z2b{left} .. z1b -- cycle;
315 z1a = (0.00wd + stafflinethickness/2,
316 yoffs_bt - 1.0*convexity);
317 z2a = (0.08wd, yoffs_bt + 1.4*convexity);
318 z3a = (0.40wd - stafflinethickness/2, yoffs_bt);
319 p = z1a{direction} .. z2a{right} .. z3a --
320 z3b .. {left}z2b .. {-direction}z1b -- cycle;
322 z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
323 z2a = (0.20wd, yoffs_bt + 1.0*convexity);
324 z3a = (0.40wd - stafflinethickness/2, yoffs_bt);
325 p = z1a .. z2a .. z3a --
326 z3b .. z2b .. z1b -- cycle;
336 pickup pencircle scaled stafflinethickness;
339 z5=(0.00wd + stafflinethickness/2, yoffs);
340 z6=(0.00wd + stafflinethickness/2, yoffs - 1.5ht);
345 z5=(0.40wd - stafflinethickness/2, yoffs);
346 z6=(0.40wd - stafflinethickness/2, yoffs - 1.5ht);
351 save linea_width, linea_height;
352 linea_width# = stafflinethickness#;
353 linea_height# = 0.85 ht#;
354 define_pixels (linea_width, linea_height);
355 draw_block ((-0.10wd - linea_width/2,
356 yoffs - linea_height/2),
357 (-0.10wd + linea_width/2,
358 yoffs + linea_height/2));
359 draw_block ((+0.50wd - linea_width/2,
360 yoffs - linea_height/2),
361 (+0.50wd + linea_width/2,
362 yoffs + linea_height/2));
367 % parameterized punctum inclinatum
368 def inclinatum_char(expr verbose_name, internal_name, mudela_name,
369 small, stropha, auctum) =
371 fet_beginchar(verbose_name, internal_name, mudela_name)
374 a_b := 1.54; % b_h*a_b/a_w = wd/ht
378 save a, beta, ht, wd;
383 set_char_box(0.3wd#, 0.3wd#, 0.5 ht#, 0.5 ht#);
384 black_notehead_width# := wd#;
386 save za, alpha, size;
389 define_pixels(ht, wd);
400 xscaled blot_diameter
401 yscaled size rotated -alpha;
402 za = (0, size - blot_diameter/2) / 2 rotated alpha;
408 yscaled size rotated alpha;
409 save za, off_angle; pair za;
411 za = (0, -size) / 2 rotated -(alpha + off_angle);
416 pickup pencircle scaled stafflinethickness;
419 za = ((0, -size) rotated -alpha) +
420 (0, stafflinethickness/2);
423 draw za{(0,-1) rotated alpha} ..
424 {(0,1) rotated -alpha}zb;
430 punctum_char("Ed. Vat. punctum", "0vaticana_punctum", "vatpunctumhead",
431 false, false, false, false, false,
432 false, false, false, false, 1.0);
434 % punctum cavum (for OpusTeX compatibility)
435 %punctum_char("Ed. Vat. punctum cavum", "0vaticana_punctum_cavum",
436 % "vatpunctumcavumhead",
437 % false, false, false, true, false,
438 % false, false, false, false, 1.0);
440 % linea punctum (for OpusTeX compatibility)
441 %punctum_char("Ed. Vat. linea punctum", "0vaticana_linea_punctum",
442 % "vatlineapunctumhead",
443 % false, false, true, false, false,
444 % false, false, false, false, 1.0);
446 % linea punctum cavum (for OpusTeX compatibility)
447 %punctum_char("Ed. Vat. linea punctum cavum", "0vaticana_linea_punctum_cavum",
448 % "vatlineapunctumcavumhead",
449 % false, false, true, true, false,
450 % false, false, false, false, 1.0);
453 inclinatum_char("Ed. Vat. inclinatum", "0vaticana_inclinatum",
455 false, false, false);
457 % virga (i.e. right stemmed punctum)
458 punctum_char("Ed. Vat. virga", "0vaticana_virga", "vatvirgahead",
459 false, true, false, false, false,
460 false, false, false, false, 1.0);
462 % left stemmed punctum as used in clivis (flexa) ligature
463 punctum_char("Ed. Vat. reverse virga", "0vaticana_rvirga", "vatrvirgahead",
464 true, false, false, false, false,
465 false, false, false, false, 1.0);
468 punctum_char("Ed. Vat. pes lower punctum", "0vaticana_lpes", "vatlpeshead",
469 false, false, false, false, true,
470 false, true, false, false, 1.0);
473 punctum_char("Ed. Vat. pes upper punctum", "0vaticana_upes", "vatupeshead",
474 false, false, false, false, true,
475 false, false, false, false, 1.0);
477 % pes upper punctum (shifted variation)
479 % Note: This note head is used instead of the regular pes upper
480 % punctum to avoid collision with the lower punctum note of the pes when
481 % the upper punctum sits directly on top of the lower punctum.
483 punctum_char("Ed. Vat. var pes upper punctum", "0vaticana_vupes",
485 false, false, false, false, true,
486 false, false, false, true, 1.0);
488 % small punctum as used in epiphonus/cephalicus
489 punctum_char("Ed. Vat. plica", "0vaticana_plica", "vatplicahead",
490 false, false, false, false, true,
491 false, false, false, false, 0.5);
493 % excentric punctum as used in epiphonus
494 punctum_char("Ed. Vat. epiphonus", "0vaticana_epiphonus", "vatepiphonushead",
495 false, false, false, false, false,
496 false, true, true, false, 1.0);
498 % excentric punctum as used in cephalicus
499 punctum_char("Ed. Vat. cephalicus", "0vaticana_cephalicus",
501 false, false, false, false, false,
502 false, false, true, false, 1.0);
505 fet_beginchar("Ed. Vat. quilisma", "0vaticana_quilisma", "vatquilismahead")
507 a_b:=1.54; % b_h*a_b/a_w = wd/ht
511 save a, beta, ht, wd;
516 set_char_box(0.4wd#, 0.00wd#, 0.5 ht#, 0.5 ht#);
517 black_notehead_width# := wd#;
519 define_pixels(ht, wd);
520 pickup pencircle xscaled stafflinethickness yscaled 0.4ht;
521 z1 = (0.00wd, -0.11ht);
522 z2 = (0.00wd, +0.06ht);
523 z3 = (0.10wd, -0.05ht);
524 z4 = (0.16wd, +0.11ht);
525 z5 = (0.24wd, -0.01ht);
526 z6 = (0.30wd, +0.15ht);
527 z7 = (0.40wd, +0.04ht);
528 z8 = (0.40wd, +0.21ht);
529 draw z1 -- z2 -- z3 -- z4 -- z5 -- z6 -- z7 -- z8;
532 % solesmes punctum inclinatum parvum
533 %inclinatum_char("Solesmes punctum inclinatum parvum", "0solesmes_incl_parvum",
534 % "solinclparvumhead",
535 % true, false, false);
537 % solesmes punctum auctum ascendens
538 %punctum_char("Solesmes punctum auctum ascendens", "0solesmes_auct_asc",
540 % false, false, false, false, false,
541 % true, true, false, false, 1.0);
543 % solesmes punctum auctum descendens
544 %punctum_char("Solesmes punctum auctum descendens", "0solesmes_auct_desc",
546 % false, false, false, false, false,
547 % true, false, false, false, 1.0);
549 % solesmes punctum inclinatum auctum
550 %inclinatum_char("Solesmes punctum incl. auctum", "0solesmes_incl_auctum",
551 % "solpunctuminclinatumauctumhead",
552 % false, false, true);
555 %inclinatum_char("Solesmes stropha", "0solesmes_stropha",
557 % false, true, false);
559 % solesmes stropha aucta
560 %inclinatum_char("Solesmes stropha aucta", "0solesmes_stropha_aucta",
561 % "solstrophaauctahead",
562 % false, true, true);
565 fet_beginchar("Solesmes oriscus", "0solesmes_oriscus",
568 a_b := 1.54; % b_h*a_b/a_w = wd/ht
572 save a, beta, ht, wd;
573 ht# = noteheight# * mag;
577 set_char_box(0.5wd#, 0.0wd#, 0.5ht#, 0.5ht#);
578 black_notehead_width# := wd#;
581 convexity# = +0.05ht#;
583 define_pixels(ht, wd, convexity);
584 pickup pencircle xscaled blot_diameter yscaled 0.50ht;
585 z1 = (0.00wd, -convexity);
586 z2 = (0.16wd, +convexity);
587 z3 = (0.33wd, -convexity);
588 z4 = (0.50wd, +convexity);
589 draw z1 .. z2 .. z3 .. z4;
602 fet_beginchar("Ed. Med. inclinatum", "0medicaea_inclinatum",
605 a_b := 1.54; % b_h*a_b/a_w = wd/ht
609 save a, beta, ht, wd;
614 set_char_box(wd#/2, wd#/2, 0.5 ht#, 0.5 ht#);
615 black_notehead_width# := wd#;
617 save za, alpha, size;
619 define_pixels(ht, wd);
623 xscaled blot_diameter
624 yscaled size rotated -alpha;
625 za = (0, size) / 2 rotated alpha;
630 % parametrized punctum
631 def punctum_char (expr verbose_name, internal_name, mudela_name,
632 left_up_stem, left_down_stem) =
634 fet_beginchar(verbose_name, internal_name, mudela_name)
636 save a, beta, ht, wd;
637 ht# = 2 staff_space#;
639 set_char_box(0.0, 0.4wd#, 0.5ht#, 0.5ht#);
640 black_notehead_width# := wd#;
642 define_pixels(ht, wd);
644 xscaled blot_diameter
646 z1 = (0.00wd + blot_diameter/2, 0);
647 z2 = (0.40wd - blot_diameter/2, 0);
651 xscaled stafflinethickness
652 yscaled blot_diameter;
655 z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
656 z5=(0.00wd + stafflinethickness/2, - 1.25ht);
659 z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
660 z5=(0.00wd + stafflinethickness/2, + 1.25ht);
668 punctum_char("Ed. Med. punctum", "0medicaea_punctum", "medpunctumhead",
671 % left up-stemmed punctum
672 punctum_char("Ed. Med. reverse virga", "0medicaea_rvirga", "medrvirgahead",
675 % virga (i.e. left down-stemmed punctum)
676 punctum_char("Ed. Med. virga", "0medicaea_virga", "medvirgahead",
689 % parametrized punctum
690 def punctum_char (expr verbose_name, internal_name, mudela_name,
693 fet_beginchar(verbose_name, internal_name, mudela_name)
695 a_b := 1.54; % b_h*a_b/a_w = wd/ht
699 save a, beta, ht, wd;
704 set_char_box(wd#/2, wd#/2, 0.5 ht#, 0.5 ht#);
705 black_notehead_width# := wd#;
707 save za, zb, zc, alpha, size;
709 define_pixels(ht, wd);
713 xscaled blot_diameter
714 yscaled size rotated -alpha;
715 za = (0, size) / 2 rotated alpha;
720 zc = (0.00wd, - 1.25ht);
727 punctum_char("Hufnagel punctum", "0hufnagel_punctum", "hufpunctumhead", false)
730 punctum_char("Hufnagel virga", "0hufnagel_virga", "hufvirgahead", true)
733 fet_beginchar("Hufnagel pes lower punctum", "0hufnagel_lpes", "huflpeshead")
735 a_b := 1.54; % b_h*a_b/a_w = wd/ht
739 save a, beta, ht, wd;
744 set_char_box(wd#, wd#, 0.7 ht#, 0.7 ht#);
745 black_notehead_width# := wd#;
747 save za, alpha, size;
749 define_pixels(ht, wd);
753 xscaled blot_diameter
754 yscaled size rotated -alpha;
759 fet_endgroup ("noteheads")