1 % -%-Fundamental-%- -*-Metafont-*-
2 % parmesan-heads.mf -- implement ancient note heads
4 % source file of LilyPond's pretty-but-neat music font
6 % (c) 2001--2004 Juergen Reuter <reuter@ipd.uka.de>
8 % Neo-mensural heads originally by
9 % Christian Mondrup and Mats Bengtsson
12 save black_notehead_width;
13 numeric black_notehead_width;
15 fet_begingroup ("noteheads")
20 % The head is assumed to be vertically centered around (0, 0).
21 % The left-most edge of the head should touch the vertical line
22 % that goes though the point (0, 0).
24 % set_char_box() conventions:
26 % * breapth: Ignored (as far as I know). Should be set to 0.
28 % * width: Should match the head's width.
30 % * depth: Should match the bottom edge of the head. Affects vertical
33 % * height: Should match the top edge of the head. Affects vertical
36 % TODO: should depth/height include appendages/stems?
39 noteheight# := staff_space# + (1 + overdone_heads)*stafflinethickness#;
40 define_pixels(noteheight);
52 def draw_neomensural_brevis(expr brevwid) =
53 save beamheight, head_width;
54 save holeheight, stem_width;
55 save serif_size, serif_protrude;
57 head_width# = brevwid;
58 holeheight = 3 stafflinethickness;
59 stem_width = 1.4 stafflinethickness;
62 define_pixels(head_width);
63 set_char_box(0, head_width#, noteheight#/2, noteheight#/2);
65 2 beamheight + holeheight = noteheight;
66 serif_size = (holeheight - stafflinethickness)/2;
67 serif_protrude = 1.5 serif_size;
68 penpos1(stem_width, 0);
69 penpos2(stem_width, 0);
70 penpos3(beamheight, 90);
71 penpos4(beamheight, 90);
72 penpos5(stem_width, 180);
75 z2l = (0, -stafflinethickness/2);
76 z3r = z2r + serif_size *(1,-1);
79 z5l = z3l + (-serif_size, -serif_protrude);
81 penlabels(1,2,3,4, 5);
82 fill z1r -- z1l -- z5r{down} .. z5l{up} .. z3l{right}
83 -- z4l -- z4r -- z3r{left} .. z2r{up} -- cycle;
85 addto currentpicture also currentpicture yscaled -1;
87 addto currentpicture also currentpicture
88 shifted (-x4r,0) xscaled -1 shifted (x4l,0);
93 def draw_neomensural_left_stemmed_head (expr wid) =
94 draw_neomensural_brevis(wid);
96 x6 = x7 = stem_width/2;
98 y7 = y5 - 2.25 staff_space;
99 pickup pencircle scaled stem_width;
103 fet_beginchar("Left stemmed notehead", "lneomensural", "neomensuralleftstemmedhead");
104 draw_neomensural_left_stemmed_head (2 staff_space#);
108 % Some sources (eg Musix/OpusTeX think that the appendage should be on
109 % the left, some say right. Right wins democratically.
111 def draw_neomensural_longa (expr wid) =
112 draw_neomensural_brevis(wid);
118 z6 - z7 = (stem_width/2, -staff_space);
119 theta = angle(z6-z7)+ 90;
120 penpos7(stem_width, theta);
121 penpos6(1.2 stem_width, theta);
123 fill z7r .. z6r{z6-z7} .. {z7-z6} z6l -- z7l -- cycle;
128 % En wij presenteren U: de opvolgster van Emily
132 fet_beginchar("Neo-mensural maxima notehead", "-3neomensural", "neomensuralmaximahead");
133 draw_neomensural_longa (2.6 staff_space#)
136 fet_beginchar("Neo-mensural longa notehead", "-2neomensural", "neomensurallongahead");
137 draw_neomensural_longa (2 staff_space#)
140 fet_beginchar("Neo-mensural brevis notehead", "-1neomensural", "neomensuralbrevishead")
141 draw_neomensural_brevis(2 staff_space#);
144 def draw_neomensural_black_head (expr wid, height) =
147 set_char_box (0, head_width#, height/2, height/2);
149 charwx := head_width# / 2;
150 charwy := height / 2;
153 x2 = x4 = (x1 + x3) /2;
154 define_pixels (head_width);
155 pickup pencircle scaled blot_diameter;
161 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
164 def draw_neomensural_open_head (expr wid, height)=
165 draw_neomensural_black_head (wid, height);
167 diamNW = length (z2 - z1) + blot_diameter;
168 diamSW = length (z4 - z1) + blot_diameter;
170 save hole_widthNW, hole_widthSW;
171 hole_widthNW = 0.34 diamNW ;
172 hole_widthSW + 2.6 linethickness = diamSW;
174 (z7 + z5)/2 = (w/2, 0);
175 (z8 + z6)/2 = (w/2, 0);
176 (z6 - z5) = hole_widthNW * unitvector (z2 - z1);
177 (z7 - z6) = hole_widthSW * unitvector (z4 - z1);
179 labels (1,2,3,4,5,6,7,8);
181 unfill z5 -- z6 -- z7 -- z8 --cycle;
184 fet_beginchar("Neo-mensural open head","0neomensural","neomensuralsemibrevishead")
185 draw_neomensural_open_head (staff_space#, noteheight#);
189 % WL says the thin lines should be thinner.
192 fet_beginchar("Harmonic notehead (Neo-mensural open)",
193 "0harmonic","harmonichead")
195 draw_neomensural_open_head (1.3 staff_space#, 1.3 noteheight#);
196 charwx := head_width#;
201 fet_beginchar("Neo-mensural open head","1neomensural","neomensuralminimahead")
202 draw_neomensural_open_head (staff_space#, noteheight#);
205 fet_beginchar("Neo-mensural black head","2neomensural","neomensuralsemiminimahead")
206 draw_neomensural_black_head (staff_space#, noteheight#);
211 def draw_mensural_brevis (expr wid) =
212 % TODO. For the moment, fall back to draw_neomensural_brevis.
213 draw_neomensural_brevis(wid);
216 def draw_mensural_left_stemmed_head (expr wid) =
217 draw_mensural_brevis(wid);
218 x6 = x7 = stem_width/2;
220 y7 = y5 - 2.25staff_space;
221 pickup pencircle scaled stem_width;
225 def draw_mensural_longa (expr wid) =
226 draw_mensural_brevis(wid);
227 x6 = x7 = head_width - stem_width/2;
229 y7 = y5 - 2.25staff_space;
230 pickup pencircle scaled stem_width;
234 fet_beginchar("Mensural left stemmed notehead", "lmensural", "mensuralleftstemmedhead");
235 draw_mensural_left_stemmed_head (staff_space#)
238 fet_beginchar("Mensural maxima notehead", "-3mensural", "mensuralmaximahead");
239 draw_mensural_longa (2.0 staff_space#)
242 fet_beginchar("Mensural longa notehead", "-2mensural", "mensurallongahead");
243 draw_mensural_longa (staff_space#)
246 fet_beginchar("Mensural brevis notehead", "-1mensural", "mensuralbrevishead")
247 draw_mensural_brevis(staff_space#);
250 def draw_diamond_head (expr head_h, pen_w, pen_h, angle, open) =
251 save head_width, head_height;
252 head_height# = head_h;
253 head_width# / head_height# = tand(angle);
255 set_char_box (0, head_width#,
256 head_height#/2, head_height#/2);
258 charwx := head_width# / 2;
259 charwy := head_height# / 2 - linethickness#;
261 define_pixels(head_width, head_height);
263 xscaled (max(blot_diameter, pen_w * head_width))
264 yscaled (max(blot_diameter, pen_h * head_width))
267 %% FIXME: replace "xpart (top z2)" (and, analogously,
268 %% "ypart (rt z3)") with an expression that really delivers the
269 %% x coordinate of the uppermost pixel that is drawn with respect
270 %% to the pencircle (this requires some elliptical computations).
271 %% MF obviously interprets "xpart (top z2)" as "top (xpart z2)",
272 %% i.e. "top x2", which is not what we want.
274 xpart (top z2) = ypart (rt z3) = 0;
275 top y2 = head_height/2;
276 rt x3 = head_width/2;
281 draw z1 -- z2 -- z3 -- z4 -- cycle;
283 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
286 currentpicture := currentpicture shifted (head_width/2, 0);
291 fet_beginchar("Mensural open head","0mensural","mensuralsemibrevishead")
292 draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
295 fet_beginchar("Mensural open head","1mensural","mensuralminimahead")
296 draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
299 fet_beginchar("Mensural black head","2mensural","mensuralsemiminimahead")
300 draw_diamond_head (staff_space#, 0.15, 0.30, 30, false);
308 % EDITIO VATICANA (including solesmes extensions)
313 % parameterized punctum
314 def punctum_char (expr verbose_name, internal_name, ly_name,
315 left_stem, right_stem, linea, cavum,
316 straight, auctum, direction_up, excentric, up_shift, down_shift, mag) =
318 fet_beginchar(verbose_name, internal_name, ly_name)
320 a_b := 1.54; % b_h*a_b/a_w = wd/ht
324 save a, beta, ht, wd;
325 ht# = noteheight# * mag;
329 black_notehead_width# := wd#;
332 save direction, direction_sign;
339 direction_sign# = -1;
342 % convexity and excentricity
343 save u_convexity, u_excentricity;
345 u_convexity# = -0.01ht#;
346 u_excentricity# = 0.0ht#; % dummy
348 u_convexity# = -0.03ht#;
349 u_excentricity# = +0.25ht#;
351 u_convexity# = -0.05ht#;
352 u_excentricity# = 0.0ht#; % dummy
354 save convexity, excentricity;
355 convexity# = direction_sign# * u_convexity#;
356 excentricity# = direction_sign# * u_excentricity#;
368 define_pixels(convexity, excentricity, yoffs, ht, wd);
369 pickup pencircle scaled linethickness;
372 save height, yoffs_bt;
373 define_pixels (height, yoffs_bt);
375 yoffs_bt# = yoffs# - 0.5*height# - 0.25*convexity#;
376 xpart z1a = xpart z1b;
377 xpart z2a = xpart z2b;
378 xpart z3a = xpart z3b;
379 ypart z1a + height = ypart z1b;
380 ypart z2a + height = ypart z2b;
381 ypart z3a + height = ypart z3b;
383 save box_top, box_bt;
386 z1a = (0.00wd + linethickness/2, yoffs_bt);
387 z2a = (0.21wd, yoffs_bt + 1.0*convexity);
388 z3a = (0.42wd - linethickness/2,
389 yoffs_bt + 1.0*excentricity);
390 box_top# = height# + yoffs_bt# +
391 max(0, 1.0*convexity#, 1.0*excentricity#);
392 box_bt# = yoffs_bt# +
393 min(0, 1.0*convexity#, 1.0*excentricity#);
394 p = z1a .. {right}z2a .. {direction}z3a --
395 z3b{-direction} .. z2b{left} .. z1b -- cycle;
397 z1a = (0.00wd + linethickness/2,
398 yoffs_bt - 1.0*convexity);
399 z2a = (0.08wd, yoffs_bt + 1.4*convexity);
400 z3a = (0.42wd - linethickness/2,
401 yoffs_bt - 1.0*convexity);
402 box_top# = height# + yoffs_bt# +
403 max(-1.0*convexity#, 1.4*convexity#, 0);
404 box_bt# = yoffs_bt# +
405 min(-1.0*convexity#, 1.4*convexity#, 0);
406 p = z1a{direction} .. z2a{right} .. z3a --
407 z3b .. {left}z2b .. {-direction}z1b -- cycle;
409 z1a = (0.00wd + linethickness/2, yoffs_bt);
410 z2a = (0.21wd, yoffs_bt + 1.0*convexity);
411 z3a = (0.42wd - linethickness/2, yoffs_bt);
412 box_top# = height# + yoffs_bt# +
413 max(0, 1.0*convexity#);
414 box_bt# = yoffs_bt# +
415 min(0, 1.0*convexity#);
416 p = z1a .. z2a .. z3a --
417 z3b .. z2b .. z1b -- cycle;
426 pickup pencircle scaled 0.6linethickness;
431 z5=(0.00wd + 0.6linethickness/2, yoffs);
432 z6=(0.00wd + 0.6linethickness/2, yoffs - 1.1ht);
434 stem_bt# = yoffs# - 1.1ht#;
436 z5=(0.42wd - 0.6linethickness/2, yoffs);
437 z6=(0.42wd - 0.6linethickness/2, yoffs - 1.5ht);
439 stem_bt# = yoffs# - 1.5ht#;
444 set_char_box(0.00wd#, 0.42wd#,
445 max(0, -box_bt#, -stem_bt#) + linethickness#/2,
446 max(0, box_top#) + linethickness#/2);
449 save linea_width, linea_height;
450 linea_width# = 0.6 linethickness#;
451 linea_height# = 0.7 ht#;
452 define_pixels (linea_width, linea_height);
453 draw_block ((-0.10wd - linea_width/2,
455 (-0.10wd + linea_width/2,
457 draw_block ((+0.52wd - linea_width/2,
459 (+0.52wd + linea_width/2,
462 0.62wd# + linea_width#,
465 currentpicture := currentpicture
466 shifted (0.10wd + linea_width/2, 0);
471 % parameterized punctum inclinatum
472 def inclinatum_char(expr verbose_name, internal_name, ly_name,
473 small, stropha, auctum) =
475 fet_beginchar(verbose_name, internal_name, ly_name)
479 ht# = 0.50 noteheight#;
481 ht# = 0.80 noteheight#;
484 draw_diamond_head (ht#, 0, 0, alpha#, false);
488 xscaled (0.25*head_height)
489 yscaled (0.55*head_height)
491 save za, off_angle; pair za;
493 za = (0, -0.25*head_height)
494 rotated -(alpha# + off_angle)
495 shifted (0.48 head_width, -0.02 head_width);
500 pickup pencircle scaled linethickness;
503 za = (0, -0.5 head_height + linethickness);
505 zc = za + (0.52 head_width, 0);
506 draw za{(0,-1) rotated alpha#} .. {right}zb{right} ..
507 {(0,1) rotated -alpha#}zc;
513 punctum_char("Ed. Vat. punctum", "vaticana-punctum", "vatpunctumhead",
514 false, false, false, false, false,
515 false, false, false, false, false, 1.0);
517 % punctum cavum (for OpusTeX compatibility)
518 punctum_char("Ed. Vat. punctum cavum", "vaticana-punctum-cavum",
519 "vatpunctumcavumhead",
520 false, false, false, true, false,
521 false, false, false, false, false, 1.0);
523 % linea punctum (for OpusTeX compatibility)
524 punctum_char("Ed. Vat. linea punctum", "vaticana-linea-punctum",
525 "vatlineapunctumhead",
526 false, false, true, false, false,
527 false, false, false, false, false, 1.0);
529 % linea punctum cavum (for OpusTeX compatibility)
530 punctum_char("Ed. Vat. linea punctum cavum", "vaticana-linea-punctum-cavum",
531 "vatlineapunctumcavumhead",
532 false, false, true, true, false,
533 false, false, false, false, false, 1.0);
536 inclinatum_char("Ed. Vat. inclinatum", "vaticana-inclinatum",
538 false, false, false);
541 punctum_char("Ed. Vat. pes lower punctum", "vaticana-lpes", "vatlpeshead",
542 false, false, false, false, true,
543 false, true, false, false, false, 1.0);
546 punctum_char("Ed. Vat. pes var lower punctum", "vaticana-vlpes", "vatvlpeshead",
547 false, false, false, false, true,
548 false, true, false, false, true, 1.0);
551 punctum_char("Ed. Vat. pes upper punctum", "vaticana-upes", "vatupeshead",
552 false, false, false, false, true,
553 false, false, false, false, false, 1.0);
555 % pes upper punctum (shifted variation)
557 % This note head is used instead of the regular pes upper punctum to
558 % avoid collision with the lower punctum note of the pes when the upper
559 % punctum sits directly on top of the lower punctum.
561 punctum_char("Ed. Vat. var pes upper punctum", "vaticana-vupes",
563 false, false, false, false, true,
564 false, false, false, true, false, 1.0);
566 % small punctum as used in epiphonus
567 punctum_char("Ed. Vat. plica", "vaticana-plica", "vatplicahead",
568 false, false, false, false, false,
569 false, false, false, false, false, 0.6);
571 % excentric punctum as used in epiphonus
572 punctum_char("Ed. Vat. epiphonus", "vaticana-epiphonus", "vatepiphonushead",
573 false, false, false, false, false,
574 false, true, true, false, false, 1.0);
576 % excentric punctum as used in epiphonus (shifted variation)
578 % This note head is used instead of the regular epiphonus punctum to
579 % avoid collision with the plica head when the plica sits directly on
580 % top of the lower head.
582 punctum_char("Ed. Vat. var epiphonus", "vaticana-vepiphonus", "vatvepiphonushead",
583 false, false, false, false, false,
584 false, true, true, false, true, 1.0);
586 % small punctum as used in cephalicus
587 punctum_char("Ed. Vat. rev. plica", "vaticana-reverse-plica", "vatrplicahead",
588 false, false, false, false, false,
589 false, true, false, false, false, 0.6);
591 % excentric punctum as used in cephalicus; without left stem
592 punctum_char("Ed. Vat. cephalicus", "vaticana-inner-cephalicus",
593 "vatinnercephalicushead",
594 false, false, false, false, false,
595 false, false, true, false, false, 1.0);
597 % excentric punctum as used in cephalicus; with left stem
598 punctum_char("Ed. Vat. cephalicus", "vaticana-cephalicus",
600 true, false, false, false, false,
601 false, false, true, false, false, 1.0);
604 fet_beginchar("Ed. Vat. quilisma", "vaticana-quilisma", "vatquilismahead")
606 a_b:=1.54; % b_h*a_b/a_w = wd/ht
610 save a, beta, ht, wd;
615 set_char_box(0, 0.42wd#, 0.28 ht#, 0.36 ht#);
616 black_notehead_width# := wd#;
618 define_pixels(ht, wd);
619 pickup pencircle xscaled linethickness yscaled 0.44ht;
620 lft x1 = 0.00wd; bot y1 = -0.28ht;
621 x2 = 0.11wd; y2 = -0.14ht;
622 x3 = 0.12wd; y3 = +0.03ht;
623 x4 = 0.25wd; y4 = -0.09ht;
624 x5 = 0.26wd; y5 = +0.08ht;
625 x6 = 0.40wd; y6 = -0.04ht;
626 rt x7 = 0.42wd; top y7 = +0.36ht;
627 draw z1 .. z2 -- z3 .. z4 -- z5 .. z6 -- z7;
630 % solesmes punctum inclinatum parvum
631 inclinatum_char("Solesmes punctum inclinatum parvum", "solesmes-incl-parvum",
635 % solesmes punctum auctum ascendens
636 punctum_char("Solesmes punctum auctum ascendens", "solesmes-auct-asc",
638 false, false, false, false, false,
639 true, true, false, false, false, 1.0);
641 % solesmes punctum auctum descendens
642 punctum_char("Solesmes punctum auctum descendens", "solesmes-auct-desc",
644 false, false, false, false, false,
645 true, false, false, false, false, 1.0);
647 % solesmes punctum inclinatum auctum
648 inclinatum_char("Solesmes punctum incl. auctum", "solesmes-incl-auctum",
649 "solpunctuminclinatumauctumhead",
653 inclinatum_char("Solesmes stropha", "solesmes-stropha",
657 % solesmes stropha aucta
658 inclinatum_char("Solesmes stropha aucta", "solesmes-stropha-aucta",
659 "solstrophaauctahead",
663 fet_beginchar("Solesmes oriscus", "solesmes-oriscus",
666 a_b := 1.54; % b_h*a_b/a_w = wd/ht
670 save a, beta, ht, wd;
675 black_notehead_width# := wd#;
678 convexity# = +0.05ht#;
680 define_pixels(ht, wd, convexity);
681 pickup pencircle xscaled blot_diameter yscaled 0.50ht;
682 lft x1 = 0.00wd; y1 = -convexity;
683 x2 = 0.16wd; y2 = +convexity;
684 x3 = 0.33wd; y3 = -convexity;
685 rt x4 = 0.50wd; y4 = +convexity;
686 draw z1 .. z2 .. z3 .. z4;
687 set_char_box(0.00wd#, 0.50wd#,
688 0.25ht# + convexity#, 0.25ht# + convexity#);
701 fet_beginchar("Ed. Med. inclinatum", "medicaea-inclinatum",
703 draw_diamond_head (1.2staff_space#, 0, 0, 35, false);
706 % parametrized punctum
707 def punctum_char (expr verbose_name, internal_name, ly_name,
708 left_up_stem, left_down_stem) =
710 fet_beginchar(verbose_name, internal_name, ly_name)
712 save a, beta, ht, wd;
713 ht# = 2 staff_space#;
715 black_notehead_width# := wd#;
717 define_pixels(ht, wd);
719 xscaled blot_diameter
721 z1 = (0.00wd + blot_diameter/2, 0);
722 z2 = (0.4wd - blot_diameter/2, 0);
726 xscaled linethickness
727 yscaled blot_diameter;
730 z4=(0.00wd + linethickness/2, blot_diameter/2);
731 z5=(0.00wd + linethickness/2, - 1.25ht);
733 set_char_box(0.0, 0.4wd#, 1.25ht#, 0.25ht#);
735 z4=(0.00wd + linethickness/2, blot_diameter/2);
736 z5=(0.00wd + linethickness/2, + 1.25ht);
738 set_char_box(0.0, 0.4wd#, 0.25ht#, 1.25ht#);
740 set_char_box(0.0, 0.4wd#, 0.25ht#, 0.25ht#);
747 punctum_char("Ed. Med. punctum", "medicaea-punctum", "medpunctumhead",
750 % left up-stemmed punctum
751 punctum_char("Ed. Med. reverse virga", "medicaea-rvirga", "medrvirgahead",
754 % virga (i.e. left down-stemmed punctum)
755 punctum_char("Ed. Med. virga", "medicaea-virga", "medvirgahead",
768 % parametrized punctum
769 def punctum_char (expr verbose_name, internal_name, ly_name,
771 fet_beginchar(verbose_name, internal_name, ly_name)
774 draw_diamond_head (staff_space#, 0, 0, alpha#, false);
777 xscaled blot_diameter
778 yscaled (0.7*staff_space)
780 save za, zb; pair za, zb;
781 za = (head_width/2, 0);
782 bot zb = (head_width/2, -1.5staff_space);
784 set_char_box (0, head_width#,
785 1.5staff_space#, head_height#/2);
791 punctum_char("Hufnagel punctum", "hufnagel-punctum", "hufpunctumhead", false)
794 punctum_char("Hufnagel virga", "hufnagel-virga", "hufvirgahead", true)
797 fet_beginchar("Hufnagel pes lower punctum", "hufnagel-lpes", "huflpeshead")
798 save width, height, alpha;
799 width# = 2*staff_space#;
800 height# = 0.7*staff_space#;
803 set_char_box(0, width#, height#/2, height#/2);
805 pickup pencircle scaled linethickness;
806 define_pixels(width, height);
808 rt x3 = -lft x1 = width/2;
811 tand(alpha#) * (y2 - y1) = x2 - x1 = x3 - x4;
813 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
815 currentpicture := currentpicture shifted (width/2, 0);
818 fet_endgroup ("noteheads")