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_neo_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", "-3neo_mensural", "mensuralmaximahead");
95 draw_neo_longa (1.3 brevis_wid#)
98 fet_beginchar("Longa notehead", "-2neo_mensural", "mensurallongahead");
99 draw_neo_longa (brevis_wid#)
102 fet_beginchar("Brevis notehead", "-1neo_mensural", "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","neomensuralsemibrevishead")
145 draw_neo_mensural_open_head (staff_space#);
148 fet_beginchar("Neo-mensural open head","1neo_mensural","neomensuralminimahead")
149 draw_neo_mensural_open_head (staff_space#);
152 fet_beginchar("Neo-mensural black head","2neo_mensural","neomensuralsemiminimahead")
153 draw_neo_mensural_black_head (staff_space#);
157 brevis_wid# := 1 staff_space#;
159 def draw_longa (expr wid) =
163 x6 = x7 = head_width - stem_width/2;
165 y7 = y5 - 2.25staff_space;
166 pickup pencircle scaled stem_width;
170 fet_beginchar("Maxima notehead", "-3mensural", "mensuralmaximahead");
171 draw_longa (2.0 brevis_wid#)
174 fet_beginchar("Longa notehead", "-2mensural", "mensurallongahead");
175 draw_longa (brevis_wid#)
178 fet_beginchar("Brevis notehead", "-1mensural", "mensuralbrevishead")
179 draw_brevis(brevis_wid#);
182 def draw_mensural_head (expr wid, open) =
185 set_char_box (head_width#/2, head_width#/2,
186 noteheight#/2, noteheight#/2);
188 define_pixels(head_width, noteheight);
191 y1 = x2 = y3 = x4 = 0;
193 y2 = 1.4 noteheight/2;
197 xscaled 0.15 head_width
198 yscaled 0.30 head_width
201 % pencircle width correction
202 save zc, zd; pair zc, zd;
203 zc = (+0.150 head_width * sind(30), +0.150 head_width * cosd(30));
204 zd = (+0.075 head_width * sind(30), -0.075 head_width * cosd(30));
207 draw (z1+zc+zd) -- (z2-zc+zd) --
208 (z3-zc-zd) -- (z4+zc-zd) -- cycle;
210 filldraw (z1+zc+zd) -- (z2-zc+zd) --
211 (z3-zc-zd) -- (z4+zc-zd) -- cycle;
216 fet_beginchar("Mensural open head","0mensural","mensuralsemibrevishead")
217 draw_mensural_head (staff_space#, true);
220 fet_beginchar("Mensural open head","1mensural","mensuralminimahead")
221 draw_mensural_head (staff_space#, true);
224 fet_beginchar("Mensural black head","2mensural","mensuralsemiminimahead")
225 draw_mensural_head (staff_space#, false);
232 % ledger (leger) lines
235 fet_beginchar("Ledger ending", "ledgerending", "ledgerending")
236 set_char_box (5/2 ledgerlinethickness#, 5/2 ledgerlinethickness#,
237 ledgerlinethickness#/2,ledgerlinethickness#/2);
238 pickup pencircle scaled 1.3 blot_diameter;
250 filldraw z1 --- z2 --- z3 --- z4 --- cycle ;
258 % EDITIO VATICANA (including solesmes extensions)
263 % parameterized punctum
264 def punctum_char (expr verbose_name, internal_name, mudela_name,
265 left_stem, right_stem, linea, cavum,
266 straight, auctum, direction_up, excentric, up_shift, mag) =
268 fet_beginchar(verbose_name, internal_name, mudela_name)
270 a_b := 1.54; % b_h*a_b/a_w = wd/ht
274 save a, beta, ht, wd;
275 ht# = noteheight#; %% * mag;
279 set_char_box(0.50wd#, 0.10wd#, 0.5ht#, 0);
280 black_notehead_width# := wd#;
283 save direction, direction_sign;
290 direction_sign# = -1;
293 % convexity and excentricity
294 save u_convexity, u_excentricity;
296 u_convexity# = -0.01ht#;
297 u_excentricity# = 0.0ht#; % dummy
299 u_convexity# = -0.03ht#;
300 u_excentricity# = +0.25ht#;
302 u_convexity# = -0.05ht#;
303 u_excentricity# = 0.0ht#; % dummy
305 save convexity, excentricity;
306 convexity# = direction_sign# * u_convexity#;
307 excentricity# = direction_sign# * u_excentricity#;
317 define_pixels(convexity, excentricity, yoffs, ht, wd);
318 pickup pencircle scaled stafflinethickness;
321 save height, yoffs_bt;
322 define_pixels (height, yoffs_bt);
323 height# = max (0.5ht# - stafflinethickness#, 0);
324 yoffs_bt# = yoffs# - (height# - stafflinethickness#)/2 -
326 xpart z1a = xpart z1b;
327 xpart z2a = xpart z2b;
328 xpart z3a = xpart z3b;
329 ypart z1a + height = ypart z1b;
330 ypart z2a + height = ypart z2b;
331 ypart z3a + height = ypart z3b;
334 z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
335 z2a = (0.20wd, yoffs_bt + 1.0*convexity);
336 z3a = (0.40wd - stafflinethickness/2,
337 yoffs_bt + 1.0*excentricity);
338 p = z1a .. {right}z2a .. {direction}z3a --
339 z3b{-direction} .. z2b{left} .. z1b -- cycle;
341 z1a = (0.00wd + stafflinethickness/2,
342 yoffs_bt - 1.0*convexity);
343 z2a = (0.08wd, yoffs_bt + 1.4*convexity);
344 z3a = (0.40wd - stafflinethickness/2, yoffs_bt);
345 p = z1a{direction} .. z2a{right} .. z3a --
346 z3b .. {left}z2b .. {-direction}z1b -- cycle;
348 z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
349 z2a = (0.20wd, yoffs_bt + 1.0*convexity);
350 z3a = (0.40wd - stafflinethickness/2, yoffs_bt);
351 p = z1a .. z2a .. z3a --
352 z3b .. z2b .. z1b -- cycle;
362 pickup pencircle scaled stafflinethickness;
365 z5=(0.00wd + stafflinethickness/2, yoffs);
366 z6=(0.00wd + stafflinethickness/2, yoffs - 1.5ht);
371 z5=(0.40wd - stafflinethickness/2, yoffs);
372 z6=(0.40wd - stafflinethickness/2, yoffs - 1.5ht);
377 save linea_width, linea_height;
378 linea_width# = stafflinethickness#;
379 linea_height# = 0.85 ht#;
380 define_pixels (linea_width, linea_height);
381 draw_block ((-0.10wd - linea_width/2,
382 yoffs - linea_height/2),
383 (-0.10wd + linea_width/2,
384 yoffs + linea_height/2));
385 draw_block ((+0.50wd - linea_width/2,
386 yoffs - linea_height/2),
387 (+0.50wd + linea_width/2,
388 yoffs + linea_height/2));
393 % parameterized punctum inclinatum
394 def inclinatum_char(expr verbose_name, internal_name, mudela_name,
395 small, stropha, auctum) =
397 fet_beginchar(verbose_name, internal_name, mudela_name)
400 a_b := 1.54; % b_h*a_b/a_w = wd/ht
404 save a, beta, ht, wd;
409 set_char_box(0.3wd#, 0.3wd#, 0.5 ht#, 0.5 ht#);
410 black_notehead_width# := wd#;
412 save za, alpha, size;
415 define_pixels(ht, wd);
426 xscaled blot_diameter
427 yscaled size rotated -alpha;
428 za = (0, size - blot_diameter/2) / 2 rotated alpha;
434 yscaled size rotated alpha;
435 save za, off_angle; pair za;
437 za = (0, -size) / 2 rotated -(alpha + off_angle);
442 pickup pencircle scaled stafflinethickness;
445 za = ((0, -size) rotated -alpha) +
446 (0, stafflinethickness/2);
449 draw za{(0,-1) rotated alpha} ..
450 {(0,1) rotated -alpha}zb;
456 punctum_char("Ed. Vat. punctum", "0vaticana_punctum", "vatpunctumhead",
457 false, false, false, false, false,
458 false, false, false, false, 1.0);
460 % punctum cavum (for OpusTeX compatibility)
461 punctum_char("Ed. Vat. punctum cavum", "0vaticana_punctum_cavum",
462 "vatpunctumcavumhead",
463 false, false, false, true, false,
464 false, false, false, false, 1.0);
466 % linea punctum (for OpusTeX compatibility)
467 punctum_char("Ed. Vat. linea punctum", "0vaticana_linea_punctum",
468 "vatlineapunctumhead",
469 false, false, true, false, false,
470 false, false, false, false, 1.0);
472 % linea punctum cavum (for OpusTeX compatibility)
473 punctum_char("Ed. Vat. linea punctum cavum", "0vaticana_linea_punctum_cavum",
474 "vatlineapunctumcavumhead",
475 false, false, true, true, false,
476 false, false, false, false, 1.0);
479 inclinatum_char("Ed. Vat. inclinatum", "0vaticana_inclinatum",
481 false, false, false);
483 % virga (i.e. right stemmed punctum)
484 punctum_char("Ed. Vat. virga", "0vaticana_virga", "vatvirgahead",
485 false, true, false, false, false,
486 false, false, false, false, 1.0);
488 % left stemmed punctum as used in clivis (flexa) ligature
489 punctum_char("Ed. Vat. reverse virga", "0vaticana_rvirga", "vatrvirgahead",
490 true, false, false, false, false,
491 false, false, false, false, 1.0);
494 punctum_char("Ed. Vat. pes lower punctum", "0vaticana_lpes", "vatlpeshead",
495 false, false, false, false, true,
496 false, true, false, false, 1.0);
499 punctum_char("Ed. Vat. pes upper punctum", "0vaticana_upes", "vatupeshead",
500 false, false, false, false, true,
501 false, false, false, false, 1.0);
503 % pes upper punctum (shifted variation)
505 % Note: This note head is used instead of the regular pes upper
506 % punctum to avoid collision with the lower punctum note of the pes when
507 % the upper punctum sits directly on top of the lower punctum.
509 punctum_char("Ed. Vat. var pes upper punctum", "0vaticana_vupes",
511 false, false, false, false, true,
512 false, false, false, true, 1.0);
514 % small punctum as used in epiphonus/cephalicus
515 punctum_char("Ed. Vat. plica", "0vaticana_plica", "vatplicahead",
516 false, false, false, false, true,
517 false, false, false, false, 0.5);
519 % excentric punctum as used in epiphonus
520 punctum_char("Ed. Vat. epiphonus", "0vaticana_epiphonus", "vatepiphonushead",
521 false, false, false, false, false,
522 false, true, true, false, 1.0);
524 % excentric punctum as used in cephalicus
525 punctum_char("Ed. Vat. cephalicus", "0vaticana_cephalicus",
527 false, false, false, false, false,
528 false, false, true, false, 1.0);
531 fet_beginchar("Ed. Vat. quilisma", "0vaticana_quilisma", "vatquilismahead")
533 a_b:=1.54; % b_h*a_b/a_w = wd/ht
537 save a, beta, ht, wd;
542 set_char_box(0.4wd#, 0.00wd#, 0.5 ht#, 0.5 ht#);
543 black_notehead_width# := wd#;
545 define_pixels(ht, wd);
546 pickup pencircle xscaled stafflinethickness yscaled 0.4ht;
547 z1 = (0.00wd, -0.11ht);
548 z2 = (0.00wd, +0.06ht);
549 z3 = (0.10wd, -0.05ht);
550 z4 = (0.16wd, +0.11ht);
551 z5 = (0.24wd, -0.01ht);
552 z6 = (0.30wd, +0.15ht);
553 z7 = (0.40wd, +0.04ht);
554 z8 = (0.40wd, +0.21ht);
555 draw z1 -- z2 -- z3 -- z4 -- z5 -- z6 -- z7 -- z8;
558 % solesmes punctum inclinatum parvum
559 inclinatum_char("Solesmes punctum inclinatum parvum", "0solesmes_incl_parvum",
563 % solesmes punctum auctum ascendens
564 punctum_char("Solesmes punctum auctum ascendens", "0solesmes_auct_asc",
566 false, false, false, false, false,
567 true, true, false, false, 1.0);
569 % solesmes punctum auctum descendens
570 punctum_char("Solesmes punctum auctum descendens", "0solesmes_auct_desc",
572 false, false, false, false, false,
573 true, false, false, false, 1.0);
575 % solesmes punctum inclinatum auctum
576 inclinatum_char("Solesmes punctum incl. auctum", "0solesmes_incl_auctum",
577 "solpunctuminclinatumauctumhead",
581 inclinatum_char("Solesmes stropha", "0solesmes_stropha",
585 % solesmes stropha aucta
586 inclinatum_char("Solesmes stropha aucta", "0solesmes_stropha_aucta",
587 "solstrophaauctahead",
591 fet_beginchar("Solesmes oriscus", "0solesmes_oriscus",
594 a_b := 1.54; % b_h*a_b/a_w = wd/ht
598 save a, beta, ht, wd;
599 ht# = noteheight#; %% * mag;
603 set_char_box(0.5wd#, 0.0wd#, 0.5ht#, 0.5ht#);
604 black_notehead_width# := wd#;
607 convexity# = +0.05ht#;
609 define_pixels(ht, wd, convexity);
610 pickup pencircle xscaled blot_diameter yscaled 0.50ht;
611 z1 = (0.00wd, -convexity);
612 z2 = (0.16wd, +convexity);
613 z3 = (0.33wd, -convexity);
614 z4 = (0.50wd, +convexity);
615 draw z1 .. z2 .. z3 .. z4;
628 fet_beginchar("Ed. Med. inclinatum", "0medicaea_inclinatum",
631 a_b := 1.54; % b_h*a_b/a_w = wd/ht
635 save a, beta, ht, wd;
640 set_char_box(wd#/2, wd#/2, 0.5 ht#, 0.5 ht#);
641 black_notehead_width# := wd#;
643 save za, alpha, size;
645 define_pixels(ht, wd);
649 xscaled blot_diameter
650 yscaled size rotated -alpha;
651 za = (0, size) / 2 rotated alpha;
656 % parametrized punctum
657 def punctum_char (expr verbose_name, internal_name, mudela_name,
658 left_up_stem, left_down_stem) =
660 fet_beginchar(verbose_name, internal_name, mudela_name)
662 save a, beta, ht, wd;
663 ht# = 2 staff_space#;
665 set_char_box(0.0, 0.4wd#, 0.5ht#, 0.5ht#);
666 black_notehead_width# := wd#;
668 define_pixels(ht, wd);
670 xscaled blot_diameter
672 z1 = (0.00wd + blot_diameter/2, 0);
673 z2 = (0.40wd - blot_diameter/2, 0);
677 xscaled stafflinethickness
678 yscaled blot_diameter;
681 z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
682 z5=(0.00wd + stafflinethickness/2, - 1.25ht);
685 z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
686 z5=(0.00wd + stafflinethickness/2, + 1.25ht);
694 punctum_char("Ed. Med. punctum", "0medicaea_punctum", "medpunctumhead",
697 % left up-stemmed punctum
698 punctum_char("Ed. Med. reverse virga", "0medicaea_rvirga", "medrvirgahead",
701 % virga (i.e. left down-stemmed punctum)
702 punctum_char("Ed. Med. virga", "0medicaea_virga", "medvirgahead",
715 % parametrized punctum
716 def punctum_char (expr verbose_name, internal_name, mudela_name,
719 fet_beginchar(verbose_name, internal_name, mudela_name)
721 a_b := 1.54; % b_h*a_b/a_w = wd/ht
725 save a, beta, ht, wd;
730 set_char_box(wd#/2, wd#/2, 0.5 ht#, 0.5 ht#);
731 black_notehead_width# := wd#;
733 save za, zb, zc, alpha, size;
735 define_pixels(ht, wd);
739 xscaled blot_diameter
740 yscaled size rotated -alpha;
741 za = (0, size) / 2 rotated alpha;
746 zc = (0.00wd, - 1.25ht);
753 punctum_char("Hufnagel punctum", "0hufnagel_punctum", "hufpunctumhead", false)
756 punctum_char("Hufnagel virga", "0hufnagel_virga", "hufvirgahead", true)
759 fet_beginchar("Hufnagel pes lower punctum", "0hufnagel_lpes", "huflpeshead")
761 a_b := 1.54; % b_h*a_b/a_w = wd/ht
765 save a, beta, ht, wd;
770 set_char_box(wd#, wd#, 0.7 ht#, 0.7 ht#);
771 black_notehead_width# := wd#;
773 save za, alpha, size;
775 define_pixels(ht, wd);
779 xscaled blot_diameter
780 yscaled size rotated -alpha;
785 fet_endgroup ("noteheads")