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--2003 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
38 noteheight# := staff_space# + (1 + overdone_heads)*stafflinethickness#;
39 define_pixels(noteheight);
51 def draw_neo_brevis(expr brevwid) =
52 save beamheight, head_width;
53 save holeheight, stem_width;
54 save serif_size, serif_protrude;
56 head_width# = brevwid;
57 holeheight = 3 stafflinethickness;
58 stem_width = 1.4 stafflinethickness;
61 define_pixels(head_width);
62 set_char_box(0, head_width#, noteheight#/2, noteheight#/2);
64 2 beamheight + holeheight = noteheight;
65 serif_size = (holeheight - stafflinethickness)/2;
66 serif_protrude = 1.5 serif_size;
67 penpos1(stem_width, 0);
68 penpos2(stem_width, 0);
69 penpos3(beamheight, 90);
70 penpos4(beamheight, 90);
71 penpos5(stem_width, 180);
74 z2l = (0, -stafflinethickness/2);
75 z3r = z2r + serif_size *(1,-1);
78 z5l = z3l + (-serif_size, -serif_protrude);
80 penlabels(1,2,3,4, 5);
81 fill z1r -- z1l -- z5r{down} .. z5l{up} .. z3l{right}
82 -- z4l -- z4r -- z3r{left} .. z2r{up} -- cycle;
84 addto currentpicture also currentpicture yscaled -1;
86 addto currentpicture also currentpicture
87 shifted (-x4r,0) xscaled -1 shifted (x4l,0);
92 def draw_neo_left_stemmed_head (expr wid) =
95 x6 = x7 = head_width - stem_width/2;
97 y7 = y5 - 2.25 staff_space;
98 pickup pencircle scaled stem_width;
102 fet_beginchar("Left stemmed notehead", "lneo_mensural", "mensuralleftstemmedhead");
103 draw_neo_left_stemmed_head (2 staff_space#);
107 % Some sources (eg Musix/OpusTeX think that the appendage should be on
108 % the left, some say right. Right wins democratically.
110 def draw_neo_longa (expr wid) =
111 draw_neo_brevis(wid);
117 z6 - z7 = (stem_width/2, -staff_space);
118 theta = angle(z6-z7)+ 90;
119 penpos7(stem_width, theta);
120 penpos6(1.2 stem_width, theta);
122 fill z7r .. z6r{z6-z7} .. {z7-z6} z6l -- z7l -- cycle;
127 % En wij presenteren U: de opvolgster van Emily
131 fet_beginchar("Maxima notehead", "-3neo_mensural", "mensuralmaximahead");
132 draw_neo_longa (2.6 staff_space#)
135 fet_beginchar("Longa notehead", "-2neo_mensural", "mensurallongahead");
136 draw_neo_longa (2 staff_space#)
139 fet_beginchar("Brevis notehead", "-1neo_mensural", "mensuralbrevishead")
140 draw_neo_brevis(2 staff_space#);
143 def draw_neo_mensural_black_head (expr wid, height) =
146 set_char_box (0, head_width#, height/2, height/2);
148 charwx := head_width# / 2;
149 charwy := height / 2;
152 x2 = x4 = (x1 + x3) /2;
153 define_pixels (head_width);
154 pickup pencircle scaled blot_diameter;
160 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
163 def draw_neo_mensural_open_head (expr wid, height)=
164 draw_neo_mensural_black_head (wid, height);
166 diamNW = length (z2 - z1) + blot_diameter;
167 diamSW = length (z4 - z1) + blot_diameter;
169 save hole_widthNW, hole_widthSW;
170 hole_widthNW = 0.34 diamNW ;
171 hole_widthSW + 2.6 linethickness = diamSW;
173 (z7 + z5)/2 = (w/2, 0);
174 (z8 + z6)/2 = (w/2, 0);
175 (z6 - z5) = hole_widthNW * unitvector (z2 - z1);
176 (z7 - z6) = hole_widthSW * unitvector (z4 - z1);
178 labels (1,2,3,4,5,6,7,8);
180 unfill z5 -- z6 -- z7 -- z8 --cycle;
183 fet_beginchar("Neo-mensural open head","0neo_mensural","neomensuralsemibrevishead")
184 draw_neo_mensural_open_head (staff_space#, noteheight#);
188 % WL says the thin lines should be thinner.
191 fet_beginchar("Harmonic notehead (Neo-mensural open)",
192 "0harmonic","harmonichead")
194 draw_neo_mensural_open_head (1.3 staff_space#, 1.3 noteheight#);
195 charwx := head_width#;
200 fet_beginchar("Neo-mensural open head","1neo_mensural","neomensuralminimahead")
201 draw_neo_mensural_open_head (staff_space#, noteheight#);
204 fet_beginchar("Neo-mensural black head","2neo_mensural","neomensuralsemiminimahead")
205 draw_neo_mensural_black_head (staff_space#, noteheight#);
210 def draw_brevis (expr wid) =
211 % TODO. For the moment, fall back to draw_neo_brevis.
212 draw_neo_brevis(wid);
215 def draw_left_stemmed_head (expr wid) =
219 x6 = x7 = stem_width/2;
221 y7 = y5 - 2.25staff_space;
222 pickup pencircle scaled stem_width;
226 fet_beginchar("Left stemmed notehead", "lmensural", "mensuralleftstemmedhead");
227 draw_left_stemmed_head (staff_space#)
230 def draw_longa (expr wid) =
233 x6 = x7 = head_width - stem_width/2;
235 y7 = y5 - 2.25staff_space;
236 pickup pencircle scaled stem_width;
240 fet_beginchar("Maxima notehead", "-3mensural", "mensuralmaximahead");
241 draw_longa (2.0 staff_space#)
244 fet_beginchar("Longa notehead", "-2mensural", "mensurallongahead");
245 draw_longa (staff_space#)
248 fet_beginchar("Brevis notehead", "-1mensural", "mensuralbrevishead")
249 draw_brevis(staff_space#);
252 def draw_diamond_head (expr head_h, pen_w, pen_h, angle, open) =
253 save head_width, head_height;
254 head_height# = head_h;
255 head_width# / head_height# = tand(angle);
256 define_pixels(head_width, head_height);
258 set_char_box (0, head_width#,
259 head_height#/2, head_height#/2);
261 charwx := head_width# / 2;
262 charwy := head_height# / 2 - linethickness#;
265 xscaled (min(blot_diameter, pen_w * head_width))
266 yscaled (min(blot_diameter, pen_h * head_width))
269 %% FIXME: replace "xpart (top z2)" (and, analogously,
270 %% "ypart (rt z3)") with an expression that really delivers the
271 %% x coordinate of the uppermost pixel that is drawn with respect
272 %% to the pencircle (this requires some elliptical computations).
273 %% MF obviously interprets "xpart (top z2)" as "top (xpart z2)",
274 %% i.e. "top x2", which is not what we want.
276 xpart (top z2) = ypart (rt z3) = 0;
277 top y2 = head_height/2;
278 rt x3 = head_width/2;
283 draw z1 -- z2 -- z3 -- z4 -- cycle;
285 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
288 currentpicture := currentpicture shifted (head_width/2, 0);
293 fet_beginchar("Mensural open head","0mensural","mensuralsemibrevishead")
294 draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
297 fet_beginchar("Mensural open head","1mensural","mensuralminimahead")
298 draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
301 fet_beginchar("Mensural black head","2mensural","mensuralsemiminimahead")
302 draw_diamond_head (staff_space#, 0.15, 0.30, 30, false);
310 % EDITIO VATICANA (including solesmes extensions)
315 % parameterized punctum
316 def punctum_char (expr verbose_name, internal_name, ly_name,
317 left_stem, right_stem, linea, cavum,
318 straight, auctum, direction_up, excentric, up_shift, down_shift, mag) =
320 fet_beginchar(verbose_name, internal_name, ly_name)
322 a_b := 1.54; % b_h*a_b/a_w = wd/ht
326 save a, beta, ht, wd;
327 ht# = noteheight# * mag;
331 black_notehead_width# := wd#;
334 save direction, direction_sign;
341 direction_sign# = -1;
344 % convexity and excentricity
345 save u_convexity, u_excentricity;
347 u_convexity# = -0.01ht#;
348 u_excentricity# = 0.0ht#; % dummy
350 u_convexity# = -0.03ht#;
351 u_excentricity# = +0.25ht#;
353 u_convexity# = -0.05ht#;
354 u_excentricity# = 0.0ht#; % dummy
356 save convexity, excentricity;
357 convexity# = direction_sign# * u_convexity#;
358 excentricity# = direction_sign# * u_excentricity#;
370 define_pixels(convexity, excentricity, yoffs, ht, wd);
371 pickup pencircle scaled linethickness;
374 save height, yoffs_bt;
375 define_pixels (height, yoffs_bt);
377 yoffs_bt# = yoffs# - 0.5*height# - 0.25*convexity#;
378 xpart z1a = xpart z1b;
379 xpart z2a = xpart z2b;
380 xpart z3a = xpart z3b;
381 ypart z1a + height = ypart z1b;
382 ypart z2a + height = ypart z2b;
383 ypart z3a + height = ypart z3b;
385 save box_top, box_bt;
388 z1a = (0.00wd + linethickness/2, yoffs_bt);
389 z2a = (0.21wd, yoffs_bt + 1.0*convexity);
390 z3a = (0.42wd - linethickness/2,
391 yoffs_bt + 1.0*excentricity);
392 box_top# = height# + yoffs_bt# +
393 max(0, 1.0*convexity#, 1.0*excentricity#);
394 box_bt# = yoffs_bt# +
395 min(0, 1.0*convexity#, 1.0*excentricity#);
396 p = z1a .. {right}z2a .. {direction}z3a --
397 z3b{-direction} .. z2b{left} .. z1b -- cycle;
399 z1a = (0.00wd + linethickness/2,
400 yoffs_bt - 1.0*convexity);
401 z2a = (0.08wd, yoffs_bt + 1.4*convexity);
402 z3a = (0.42wd - linethickness/2,
403 yoffs_bt - 1.0*convexity);
404 box_top# = height# + yoffs_bt# +
405 max(-1.0*convexity#, 1.4*convexity#, 0);
406 box_bt# = yoffs_bt# +
407 min(-1.0*convexity#, 1.4*convexity#, 0);
408 p = z1a{direction} .. z2a{right} .. z3a --
409 z3b .. {left}z2b .. {-direction}z1b -- cycle;
411 z1a = (0.00wd + linethickness/2, yoffs_bt);
412 z2a = (0.21wd, yoffs_bt + 1.0*convexity);
413 z3a = (0.42wd - linethickness/2, yoffs_bt);
414 box_top# = height# + yoffs_bt# +
415 max(0, 1.0*convexity#);
416 box_bt# = yoffs_bt# +
417 min(0, 1.0*convexity#);
418 p = z1a .. z2a .. z3a --
419 z3b .. z2b .. z1b -- cycle;
428 pickup pencircle scaled 0.6linethickness;
433 z5=(0.00wd + 0.6linethickness/2, yoffs);
434 z6=(0.00wd + 0.6linethickness/2, yoffs - 1.1ht);
436 stem_bt# = yoffs# - 1.1ht#;
438 z5=(0.42wd - 0.6linethickness/2, yoffs);
439 z6=(0.42wd - 0.6linethickness/2, yoffs - 1.5ht);
441 stem_bt# = yoffs# - 1.5ht#;
446 set_char_box(0.00wd#, 0.42wd#,
447 max(0, -box_bt#, -stem_bt#) + linethickness#/2,
448 max(0, box_top#) + linethickness#/2);
451 save linea_width, linea_height;
452 linea_width# = 0.6 linethickness#;
453 linea_height# = 0.7 ht#;
454 define_pixels (linea_width, linea_height);
455 draw_block ((-0.10wd - linea_width/2,
457 (-0.10wd + linea_width/2,
459 draw_block ((+0.52wd - linea_width/2,
461 (+0.52wd + linea_width/2,
464 0.62wd# + linea_width#,
467 currentpicture := currentpicture
468 shifted (0.10wd + linea_width/2, 0);
473 % parameterized punctum inclinatum
474 def inclinatum_char(expr verbose_name, internal_name, ly_name,
475 small, stropha, auctum) =
477 fet_beginchar(verbose_name, internal_name, ly_name)
481 ht# = 0.50 noteheight#;
483 ht# = 0.80 noteheight#;
486 draw_diamond_head (ht#, 0, 0, alpha#, false);
490 xscaled (0.25*head_height)
491 yscaled (0.55*head_height)
493 save za, off_angle; pair za;
495 za = (0, -0.25*head_height)
496 rotated -(alpha# + off_angle)
497 shifted (0.48 head_width, -0.02 head_width);
502 pickup pencircle scaled linethickness;
505 za = (0, -0.5 head_height + linethickness);
507 zc = za + (0.52 head_width, 0);
508 draw za{(0,-1) rotated alpha#} .. {right}zb{right} ..
509 {(0,1) rotated -alpha#}zc;
515 punctum_char("Ed. Vat. punctum", "vaticana_punctum", "vatpunctumhead",
516 false, false, false, false, false,
517 false, false, false, false, false, 1.0);
519 % punctum cavum (for OpusTeX compatibility)
520 punctum_char("Ed. Vat. punctum cavum", "vaticana_punctum_cavum",
521 "vatpunctumcavumhead",
522 false, false, false, true, false,
523 false, false, false, false, false, 1.0);
525 % linea punctum (for OpusTeX compatibility)
526 punctum_char("Ed. Vat. linea punctum", "vaticana_linea_punctum",
527 "vatlineapunctumhead",
528 false, false, true, false, false,
529 false, false, false, false, false, 1.0);
531 % linea punctum cavum (for OpusTeX compatibility)
532 punctum_char("Ed. Vat. linea punctum cavum", "vaticana_linea_punctum_cavum",
533 "vatlineapunctumcavumhead",
534 false, false, true, true, false,
535 false, false, false, false, false, 1.0);
538 inclinatum_char("Ed. Vat. inclinatum", "vaticana_inclinatum",
540 false, false, false);
543 punctum_char("Ed. Vat. pes lower punctum", "vaticana_lpes", "vatlpeshead",
544 false, false, false, false, true,
545 false, true, false, false, false, 1.0);
548 punctum_char("Ed. Vat. pes var lower punctum", "vaticana_vlpes", "vatvlpeshead",
549 false, false, false, false, true,
550 false, true, false, false, true, 1.0);
553 punctum_char("Ed. Vat. pes upper punctum", "vaticana_upes", "vatupeshead",
554 false, false, false, false, true,
555 false, false, false, false, false, 1.0);
557 % pes upper punctum (shifted variation)
559 % This note head is used instead of the regular pes upper punctum to
560 % avoid collision with the lower punctum note of the pes when the upper
561 % punctum sits directly on top of the lower punctum.
563 punctum_char("Ed. Vat. var pes upper punctum", "vaticana_vupes",
565 false, false, false, false, true,
566 false, false, false, true, false, 1.0);
568 % small punctum as used in epiphonus
569 punctum_char("Ed. Vat. plica", "vaticana_plica", "vatplicahead",
570 false, false, false, false, false,
571 false, false, false, false, false, 0.6);
573 % excentric punctum as used in epiphonus
574 punctum_char("Ed. Vat. epiphonus", "vaticana_epiphonus", "vatepiphonushead",
575 false, false, false, false, false,
576 false, true, true, false, false, 1.0);
578 % excentric punctum as used in epiphonus (shifted variation)
580 % This note head is used instead of the regular epiphonus punctum to
581 % avoid collision with the plica head when the plica sits directly on
582 % top of the lower head.
584 punctum_char("Ed. Vat. var epiphonus", "vaticana_vepiphonus", "vatvepiphonushead",
585 false, false, false, false, false,
586 false, true, true, false, true, 1.0);
588 % small punctum as used in cephalicus
589 punctum_char("Ed. Vat. rev. plica", "vaticana_reverse_plica", "vatrplicahead",
590 false, false, false, false, false,
591 false, true, false, false, false, 0.6);
593 % excentric punctum as used in cephalicus; without left stem
594 punctum_char("Ed. Vat. cephalicus", "vaticana_inner_cephalicus",
595 "vatinnercephalicushead",
596 false, false, false, false, false,
597 false, false, true, false, false, 1.0);
599 % excentric punctum as used in cephalicus; with left stem
600 punctum_char("Ed. Vat. cephalicus", "vaticana_cephalicus",
602 true, false, false, false, false,
603 false, false, true, false, false, 1.0);
606 fet_beginchar("Ed. Vat. quilisma", "vaticana_quilisma", "vatquilismahead")
608 a_b:=1.54; % b_h*a_b/a_w = wd/ht
612 save a, beta, ht, wd;
617 set_char_box(0, 0.42wd#, 0.28 ht#, 0.36 ht#);
618 black_notehead_width# := wd#;
620 define_pixels(ht, wd);
621 pickup pencircle xscaled linethickness yscaled 0.44ht;
622 lft x1 = 0.00wd; bot y1 = -0.28ht;
623 x2 = 0.11wd; y2 = -0.14ht;
624 x3 = 0.12wd; y3 = +0.03ht;
625 x4 = 0.25wd; y4 = -0.09ht;
626 x5 = 0.26wd; y5 = +0.08ht;
627 x6 = 0.40wd; y6 = -0.04ht;
628 rt x7 = 0.42wd; top y7 = +0.36ht;
629 draw z1 .. z2 -- z3 .. z4 -- z5 .. z6 -- z7;
632 % solesmes punctum inclinatum parvum
633 inclinatum_char("Solesmes punctum inclinatum parvum", "solesmes_incl_parvum",
637 % solesmes punctum auctum ascendens
638 punctum_char("Solesmes punctum auctum ascendens", "solesmes_auct_asc",
640 false, false, false, false, false,
641 true, true, false, false, false, 1.0);
643 % solesmes punctum auctum descendens
644 punctum_char("Solesmes punctum auctum descendens", "solesmes_auct_desc",
646 false, false, false, false, false,
647 true, false, false, false, false, 1.0);
649 % solesmes punctum inclinatum auctum
650 inclinatum_char("Solesmes punctum incl. auctum", "solesmes_incl_auctum",
651 "solpunctuminclinatumauctumhead",
655 inclinatum_char("Solesmes stropha", "solesmes_stropha",
659 % solesmes stropha aucta
660 inclinatum_char("Solesmes stropha aucta", "solesmes_stropha_aucta",
661 "solstrophaauctahead",
665 fet_beginchar("Solesmes oriscus", "solesmes_oriscus",
668 a_b := 1.54; % b_h*a_b/a_w = wd/ht
672 save a, beta, ht, wd;
677 black_notehead_width# := wd#;
680 convexity# = +0.05ht#;
682 define_pixels(ht, wd, convexity);
683 pickup pencircle xscaled blot_diameter yscaled 0.50ht;
684 lft x1 = 0.00wd; y1 = -convexity;
685 x2 = 0.16wd; y2 = +convexity;
686 x3 = 0.33wd; y3 = -convexity;
687 rt x4 = 0.50wd; y4 = +convexity;
688 draw z1 .. z2 .. z3 .. z4;
689 set_char_box(0.00wd#, 0.50wd#,
690 0.25ht# + convexity#, 0.25ht# + convexity#);
703 fet_beginchar("Ed. Med. inclinatum", "medicaea_inclinatum",
705 draw_diamond_head (1.2staff_space#, 0, 0, 35, false);
708 % parametrized punctum
709 def punctum_char (expr verbose_name, internal_name, ly_name,
710 left_up_stem, left_down_stem) =
712 fet_beginchar(verbose_name, internal_name, ly_name)
714 save a, beta, ht, wd;
715 ht# = 2 staff_space#;
717 black_notehead_width# := wd#;
719 define_pixels(ht, wd);
721 xscaled blot_diameter
723 z1 = (0.00wd + blot_diameter/2, 0);
724 z2 = (0.4wd - blot_diameter/2, 0);
728 xscaled linethickness
729 yscaled blot_diameter;
732 z4=(0.00wd + linethickness/2, blot_diameter/2);
733 z5=(0.00wd + linethickness/2, - 1.25ht);
735 set_char_box(0.0, 0.4wd#, 1.25ht#, 0.25ht#);
737 z4=(0.00wd + linethickness/2, blot_diameter/2);
738 z5=(0.00wd + linethickness/2, + 1.25ht);
740 set_char_box(0.0, 0.4wd#, 0.25ht#, 1.25ht#);
742 set_char_box(0.0, 0.4wd#, 0.25ht#, 0.25ht#);
749 punctum_char("Ed. Med. punctum", "medicaea_punctum", "medpunctumhead",
752 % left up-stemmed punctum
753 punctum_char("Ed. Med. reverse virga", "medicaea_rvirga", "medrvirgahead",
756 % virga (i.e. left down-stemmed punctum)
757 punctum_char("Ed. Med. virga", "medicaea_virga", "medvirgahead",
770 % parametrized punctum
771 def punctum_char (expr verbose_name, internal_name, ly_name,
773 fet_beginchar(verbose_name, internal_name, ly_name)
776 draw_diamond_head (staff_space#, 0, 0, alpha#, false);
779 xscaled blot_diameter
780 yscaled (0.7*staff_space)
782 save za, zb; pair za, zb;
783 za = (head_width/2, 0);
784 bot zb = (head_width/2, -1.5staff_space);
786 set_char_box (0, head_width#,
787 1.5staff_space#, head_height#/2);
793 punctum_char("Hufnagel punctum", "hufnagel_punctum", "hufpunctumhead", false)
796 punctum_char("Hufnagel virga", "hufnagel_virga", "hufvirgahead", true)
799 fet_beginchar("Hufnagel pes lower punctum", "hufnagel_lpes", "huflpeshead")
800 save width, height, alpha;
801 width# = 2*staff_space#;
802 height# = 0.7*staff_space#;
805 set_char_box(0, width#, height#/2, height#/2);
807 pickup pencircle scaled linethickness;
808 define_pixels(width, height);
810 rt x3 = -lft x1 = width/2;
813 tand(alpha#) * (y2 - y1) = x2 - x1 = x3 - x4;
815 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
817 currentpicture := currentpicture shifted (width/2, 0);
820 fet_endgroup ("noteheads")