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--2006 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;
86 addto currentpicture also currentpicture
87 shifted (-x4r,0) xscaled -1 shifted (x4l,0);
92 %%% This head does not seem to be used anywhere. Junk me? -- jr
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 %%% This head does not seem to be used anywhere. Junk me? -- jr
104 fet_beginchar("Left stemmed notehead", "slneomensural");
105 draw_neomensural_left_stemmed_head (2 staff_space#);
109 % Some sources (eg. Musix/OpusTeX) think that the appendage should be on
110 % the left, some say right. Right wins democratically.
112 def draw_neomensural_longa (expr wid) =
113 draw_neomensural_brevis(wid);
119 z6 - z7 = (stem_width/2, -staff_space);
120 theta = angle(z6-z7)+ 90;
121 penpos7(stem_width, theta);
122 penpos6(1.2 stem_width, theta);
124 fill z7r .. z6r{z6-z7} .. {z7-z6} z6l -- z7l -- cycle;
129 % En wij presenteren U: de opvolgster van Emily
133 fet_beginchar("Neo-mensural maxima notehead", "s-3neomensural");
134 draw_neomensural_longa (2.6 staff_space#)
137 fet_beginchar("Neo-mensural longa notehead", "s-2neomensural");
138 draw_neomensural_longa (2 staff_space#)
141 fet_beginchar("Neo-mensural brevis notehead", "s-1neomensural")
142 draw_neomensural_brevis(2 staff_space#);
145 def draw_neomensural_black_head (expr wid, height) =
148 set_char_box (0, head_width#, height/2, height/2);
150 charwx := head_width# / 2;
151 charwy := height / 2;
154 x2 = x4 = (x1 + x3) /2;
155 define_pixels (head_width);
156 pickup pencircle scaled blot_diameter;
162 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
165 def draw_neomensural_open_head (expr wid, height)=
166 draw_neomensural_black_head (wid, height);
168 diamNW = length (z2 - z1) + blot_diameter;
169 diamSW = length (z4 - z1) + blot_diameter;
171 save hole_widthNW, hole_widthSW;
172 hole_widthNW = 0.34 diamNW ;
173 hole_widthSW + 2.6 linethickness = diamSW;
175 (z7 + z5)/2 = (w/2, 0);
176 (z8 + z6)/2 = (w/2, 0);
177 (z6 - z5) = hole_widthNW * unitvector (z2 - z1);
178 (z7 - z6) = hole_widthSW * unitvector (z4 - z1);
180 labels (1,2,3,4,5,6,7,8);
182 unfill z5 -- z6 -- z7 -- z8 --cycle;
186 % WL says the thin lines should be thinner.
188 fet_beginchar("Harmonic notehead (Neo-mensural open)",
190 draw_neomensural_open_head (1.3 staff_space#, 1.3 noteheight#);
191 charwx := head_width#;
195 fet_beginchar("Harmonic notehead (Neo-mensural black)",
197 draw_neomensural_black_head (1.3 staff_space#, 1.3 noteheight#);
198 charwx := head_width#;
202 fet_beginchar("Neo-mensural semibrevis head","s0neomensural")
203 draw_neomensural_open_head (staff_space#, noteheight#);
206 fet_beginchar("Neo-mensural minima head","s1neomensural")
207 draw_neomensural_open_head (staff_space#, noteheight#);
210 fet_beginchar("Neo-mensural semiminima head","s2neomensural")
211 draw_neomensural_black_head (staff_space#, noteheight#);
214 def draw_mensural_brevis (expr wid) =
215 % TODO. For the moment, fall back to draw_neomensural_brevis.
216 draw_neomensural_brevis(wid);
219 %%% This head does not seem to be used anywhere. Junk me? -- jr
220 def draw_mensural_left_stemmed_head (expr wid) =
221 draw_mensural_brevis(wid);
222 x6 = x7 = stem_width/2;
224 y7 = y5 - 2.25staff_space;
225 pickup pencircle scaled stem_width;
229 def draw_mensural_longa (expr wid) =
230 draw_mensural_brevis(wid);
231 x6 = x7 = head_width - stem_width/2;
233 y7 = y5 - 2.25staff_space;
234 pickup pencircle scaled stem_width;
238 %%% This head does not seem to be used anywhere. Junk me? -- jr
239 fet_beginchar("Mensural left stemmed notehead", "slmensural");
240 draw_mensural_left_stemmed_head (staff_space#)
243 fet_beginchar("Mensural maxima notehead", "s-3mensural");
244 draw_mensural_longa (2.0 staff_space#)
247 fet_beginchar("Mensural longa notehead", "s-2mensural");
248 draw_mensural_longa (staff_space#)
251 fet_beginchar("Mensural brevis notehead", "s-1mensural")
252 draw_mensural_brevis(staff_space#);
255 def draw_diamond_head (expr head_h, pen_w, pen_h, angle, open) =
256 save head_width, head_height;
257 head_height# = head_h;
258 head_width# / head_height# = tand(angle);
260 set_char_box (0, head_width#,
261 head_height#/2, head_height#/2);
263 charwx := head_width# / 2;
264 charwy := head_height# / 2 - linethickness#;
266 define_pixels(head_width, head_height);
268 xscaled (max(blot_diameter, pen_w * head_width))
269 yscaled (max(blot_diameter, pen_h * head_width))
272 %% FIXME: replace "xpart (top z2)" (and, analogously,
273 %% "ypart (rt z3)") with an expression that really delivers the
274 %% x coordinate of the uppermost pixel that is drawn with respect
275 %% to the pencircle (this requires some elliptical computations).
276 %% MF obviously interprets "xpart (top z2)" as "top (xpart z2)",
277 %% i.e. "top x2", which is not what we want.
279 xpart (top z2) = ypart (rt z3) = 0;
280 top y2 = head_height/2;
281 rt x3 = head_width/2;
286 draw z1 -- z2 -- z3 -- z4 -- cycle;
288 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
291 currentpicture := currentpicture shifted (head_width/2, 0);
296 fet_beginchar("Mensural semibrevis head","s0mensural")
297 draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
300 fet_beginchar("Mensural minima head","s1mensural")
301 draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
304 fet_beginchar("Mensural semiminima head","s2mensural")
305 draw_diamond_head (staff_space#, 0.15, 0.30, 30, false);
308 fet_beginchar("Petrucci semibrevis head","s0petrucci")
309 % draw_diamond_head (1.8 staff_space#, 0.15, 0.40, 30, true);
310 draw_neomensural_open_head (staff_space#, 1.8 staff_space#);
313 fet_beginchar("Petrucci minima head","s1petrucci")
314 % draw_diamond_head (1.8 staff_space#, 0.15, 0.40, 30, true);
315 draw_neomensural_open_head (staff_space#, 1.8 staff_space#);
318 fet_beginchar("Petrucci semiminima head","s2petrucci")
319 % draw_diamond_head (1.8 staff_space#, 0.15, 0.40, 30, false);
320 draw_neomensural_black_head (staff_space#, 1.8 staff_space#);
328 % EDITIO VATICANA (including solesmes extensions)
333 % parameterized punctum
334 def punctum_char (expr verbose_name, internal_name,
335 left_stem, right_stem, linea, cavum,
336 straight, auctum, rev_auctum, direction_up,
337 excentric, up_shift, down_shift, mag) =
339 fet_beginchar(verbose_name, "s" & internal_name)
341 a_b := 1.54; % b_h*a_b/a_w = wd/ht
345 save a, beta, ht, wd;
346 ht# = noteheight# * mag;
350 black_notehead_width# := wd#;
353 save direction, direction_sign;
360 direction_sign# = -1;
363 % convexity and eccentricity
364 save u_convexity, u_eccentricity;
366 u_convexity# = -0.01ht#;
367 u_eccentricity# = 0.0ht#; % dummy
369 u_convexity# = -0.03ht#;
370 u_eccentricity# = +0.25ht#;
372 u_convexity# = -0.10ht#;
373 u_eccentricity# = -0.12ht#;
375 u_convexity# = -0.05ht#;
376 u_eccentricity# = 0.0ht#; % dummy
378 save convexity, eccentricity;
379 convexity# = direction_sign# * u_convexity#;
380 eccentricity# = direction_sign# * u_eccentricity#;
392 define_pixels(convexity, eccentricity, yoffs, ht, wd);
393 pickup pencircle scaled linethickness;
396 save height, yoffs_bt;
397 define_pixels (height, yoffs_bt);
399 yoffs_bt# = yoffs# - 0.5*height# - 0.25*convexity#;
400 xpart z1a = xpart z1b;
401 xpart z2a = xpart z2b;
402 xpart z3a = xpart z3b;
403 ypart z1a + height = ypart z1b;
404 ypart z2a + height = ypart z2b;
405 ypart z3a + height = ypart z3b;
407 save box_top, box_bt;
409 if auctum or rev_auctum:
410 z1a = (0.00wd + linethickness/2, yoffs_bt);
411 z2a = (0.21wd, yoffs_bt + 1.0*convexity);
412 z3a = (0.42wd - linethickness/2,
413 yoffs_bt + 1.0*eccentricity);
414 box_top# = height# + yoffs_bt# +
415 max(0, 1.0*convexity#, 1.0*eccentricity#);
416 box_bt# = yoffs_bt# +
417 min(0, 1.0*convexity#, 1.0*eccentricity#);
418 p = z1a .. {right}z2a .. {direction}z3a --
419 z3b{-direction} .. z2b{left} .. z1b -- cycle;
421 z1a = (0.00wd + linethickness/2,
422 yoffs_bt - 1.0*convexity);
423 z2a = (0.08wd, yoffs_bt + 1.4*convexity);
424 z3a = (0.42wd - linethickness/2,
425 yoffs_bt - 1.0*convexity);
426 box_top# = height# + yoffs_bt# +
427 max(-1.0*convexity#, 1.4*convexity#, 0);
428 box_bt# = yoffs_bt# +
429 min(-1.0*convexity#, 1.4*convexity#, 0);
430 p = z1a{direction} .. z2a{right} .. z3a --
431 z3b .. {left}z2b .. {-direction}z1b -- cycle;
433 z1a = (0.00wd + linethickness/2, yoffs_bt);
434 z2a = (0.21wd, yoffs_bt + 1.0*convexity);
435 z3a = (0.42wd - linethickness/2, yoffs_bt);
436 box_top# = height# + yoffs_bt# +
437 max(0, 1.0*convexity#);
438 box_bt# = yoffs_bt# +
439 min(0, 1.0*convexity#);
440 p = z1a .. z2a .. z3a --
441 z3b .. z2b .. z1b -- cycle;
450 pickup pencircle scaled 0.6linethickness;
455 z5=(0.00wd + 0.6linethickness/2, yoffs);
456 z6=(0.00wd + 0.6linethickness/2, yoffs - 1.1ht);
458 stem_bt# = yoffs# - 1.1ht#;
460 z5=(0.42wd - 0.6linethickness/2, yoffs);
461 z6=(0.42wd - 0.6linethickness/2, yoffs - 1.5ht);
463 stem_bt# = yoffs# - 1.5ht#;
468 set_char_box(0.00wd#, 0.42wd#,
469 max(0, -box_bt#, -stem_bt#) + linethickness#/2,
470 max(0, box_top#) + linethickness#/2);
473 save linea_width, linea_height;
474 linea_width# = 0.6 linethickness#;
475 linea_height# = 0.7 ht#;
476 define_pixels (linea_width, linea_height);
477 draw_block ((-0.10wd - linea_width/2,
479 (-0.10wd + linea_width/2,
481 draw_block ((+0.52wd - linea_width/2,
483 (+0.52wd + linea_width/2,
486 0.62wd# + linea_width#,
489 currentpicture := currentpicture
490 shifted (0.10wd + linea_width/2, 0);
495 % parameterized punctum inclinatum
496 def inclinatum_char(expr verbose_name, internal_name,
497 small, stropha, auctum) =
499 fet_beginchar(verbose_name, "s"&internal_name)
503 ht# = 0.50 noteheight#;
505 ht# = 0.80 noteheight#;
508 draw_diamond_head (ht#, 0, 0, alpha#, false);
512 xscaled (0.25*head_height)
513 yscaled (0.55*head_height)
515 save za, off_angle; pair za;
517 za = (0, -0.25*head_height)
518 rotated -(alpha# + off_angle)
519 shifted (0.48 head_width, -0.02 head_width);
524 pickup pencircle scaled linethickness;
527 za = (0, -0.5 head_height + linethickness);
529 zc = za + (0.52 head_width, 0);
530 draw za{(0,-1) rotated alpha#} .. {right}zb{right} ..
531 {(0,1) rotated -alpha#}zc;
537 punctum_char("Ed. Vat. punctum", "vaticana.punctum",
538 false, false, false, false, false,
539 false, false, false, false, false, false, 1.0);
541 % punctum cavum (for OpusTeX compatibility)
542 punctum_char("Ed. Vat. punctum cavum", "vaticana.punctum.cavum",
543 false, false, false, true, false,
544 false, false, false, false, false, false, 1.0);
546 % linea punctum (for OpusTeX compatibility)
547 punctum_char("Ed. Vat. linea punctum", "vaticana.linea.punctum",
548 false, false, true, false, false,
549 false, false, false, false, false, false, 1.0);
551 % linea punctum cavum (for OpusTeX compatibility)
552 punctum_char("Ed. Vat. linea punctum cavum", "vaticana.linea.punctum.cavum",
553 false, false, true, true, false,
554 false, false, false, false, false, false, 1.0);
557 inclinatum_char("Ed. Vat. inclinatum", "vaticana.inclinatum",
558 false, false, false);
561 punctum_char("Ed. Vat. pes lower punctum", "vaticana.lpes",
562 false, false, false, false, true,
563 false, false, true, false, false, false, 1.0);
566 punctum_char("Ed. Vat. pes var lower punctum", "vaticana.vlpes",
567 false, false, false, false, true,
568 false, false, true, false, false, true, 1.0);
571 punctum_char("Ed. Vat. pes upper punctum", "vaticana.upes",
572 false, false, false, false, true,
573 false, false, false, false, false, false, 1.0);
575 % pes upper punctum (shifted variation)
577 % This note head is used instead of the regular pes upper punctum to
578 % avoid collision with the lower punctum note of the pes when the upper
579 % punctum sits directly on top of the lower punctum.
581 punctum_char("Ed. Vat. var pes upper punctum", "vaticana.vupes",
582 false, false, false, false, true,
583 false, false, false, false, true, false, 1.0);
585 % small punctum as used in epiphonus
586 punctum_char("Ed. Vat. plica", "vaticana.plica",
587 false, false, false, false, false,
588 false, false, false, false, false, false, 0.6);
590 % small punctum as used in epiphonus
591 punctum_char("Ed. Vat. var plica", "vaticana.vplica",
592 false, false, false, false, false,
593 false, true, false, false, false, true, 0.6);
595 % excentric punctum as used in epiphonus
596 punctum_char("Ed. Vat. epiphonus", "vaticana.epiphonus",
597 false, false, false, false, false,
598 false, false, true, true, false, false, 1.0);
600 % excentric punctum as used in epiphonus (shifted variation)
602 % This note head is used instead of the regular epiphonus punctum to
603 % avoid collision with the plica head when the plica sits directly on
604 % top of the lower head.
606 punctum_char("Ed. Vat. var epiphonus", "vaticana.vepiphonus",
607 false, false, false, false, false,
608 false, false, true, true, false, true, 1.0);
610 % small punctum as used in cephalicus
611 punctum_char("Ed. Vat. rev. plica", "vaticana.reverse.plica",
612 false, false, false, false, false,
613 false, false, true, false, false, false, 0.6);
615 % small punctum as used in cephalicus
616 punctum_char("Ed. Vat. rev. var plica", "vaticana.reverse.vplica",
617 false, false, false, false, false,
618 false, true, true, false, false, true, 0.6);
620 % excentric punctum as used in cephalicus; without left stem
621 punctum_char("Ed. Vat. cephalicus", "vaticana.inner.cephalicus",
622 false, false, false, false, false,
623 false, false, false, true, false, false, 1.0);
625 % excentric punctum as used in cephalicus; with left stem
626 punctum_char("Ed. Vat. cephalicus", "vaticana.cephalicus",
627 true, false, false, false, false,
628 false, false, false, true, false, false, 1.0);
631 fet_beginchar("Ed. Vat. quilisma", "svaticana.quilisma")
633 a_b:=1.54; % b_h*a_b/a_w = wd/ht
637 save a, beta, ht, wd;
642 set_char_box(0, 0.42wd#, 0.28 ht#, 0.36 ht#);
643 black_notehead_width# := wd#;
645 define_pixels(ht, wd);
646 pickup pencircle xscaled linethickness yscaled 0.44ht;
647 lft x1 = 0.00wd; bot y1 = -0.28ht;
648 x2 = 0.11wd; y2 = -0.14ht;
649 x3 = 0.12wd; y3 = +0.03ht;
650 x4 = 0.25wd; y4 = -0.09ht;
651 x5 = 0.26wd; y5 = +0.08ht;
652 x6 = 0.40wd; y6 = -0.04ht;
653 rt x7 = 0.42wd; top y7 = +0.36ht;
654 draw z1 .. z2 -- z3 .. z4 -- z5 .. z6 -- z7;
657 % solesmes punctum inclinatum parvum
658 inclinatum_char("Solesmes punctum inclinatum parvum", "solesmes.incl.parvum",
661 % solesmes punctum auctum ascendens
662 punctum_char("Solesmes punctum auctum ascendens", "solesmes.auct.asc",
663 false, false, false, false, false,
664 true, false, true, false, false, false, 1.0);
666 % solesmes punctum auctum descendens
667 punctum_char("Solesmes punctum auctum descendens", "solesmes.auct.desc",
668 false, false, false, false, false,
669 true, false, false, false, false, false, 1.0);
671 % solesmes punctum inclinatum auctum
672 inclinatum_char("Solesmes punctum incl. auctum", "solesmes.incl.auctum",
676 inclinatum_char("Solesmes stropha", "solesmes.stropha",
679 % solesmes stropha aucta
680 inclinatum_char("Solesmes stropha aucta", "solesmes.stropha.aucta",
684 fet_beginchar("Solesmes oriscus", "ssolesmes.oriscus")
686 a_b := 1.54; % b_h*a_b/a_w = wd/ht
690 save a, beta, ht, wd;
695 black_notehead_width# := wd#;
698 convexity# = +0.05ht#;
700 define_pixels(ht, wd, convexity);
701 pickup pencircle xscaled blot_diameter yscaled 0.50ht;
702 lft x1 = 0.00wd; y1 = -convexity;
703 x2 = 0.16wd; y2 = +convexity;
704 x3 = 0.33wd; y3 = -convexity;
705 rt x4 = 0.50wd; y4 = +convexity;
706 draw z1 .. z2 .. z3 .. z4;
707 set_char_box(0.00wd#, 0.50wd#,
708 0.25ht# + convexity#, 0.25ht# + convexity#);
721 fet_beginchar("Ed. Med. inclinatum", "smedicaea.inclinatum")
722 draw_diamond_head (1.2staff_space#, 0, 0, 35, false);
725 % parametrized punctum
726 def punctum_char (expr verbose_name, internal_name,
727 left_up_stem, left_down_stem) =
729 fet_beginchar(verbose_name, "s"&internal_name)
731 save a, beta, ht, wd;
732 ht# = 2 staff_space#;
734 black_notehead_width# := wd#;
736 define_pixels(ht, wd);
738 xscaled blot_diameter
740 z1 = (0.00wd + blot_diameter/2, 0);
741 z2 = (0.4wd - blot_diameter/2, 0);
745 xscaled linethickness
746 yscaled blot_diameter;
749 z4=(0.00wd + linethickness/2, blot_diameter/2);
750 z5=(0.00wd + linethickness/2, - 1.25ht);
752 set_char_box(0.0, 0.4wd#, 1.25ht#, 0.25ht#);
754 z4=(0.00wd + linethickness/2, blot_diameter/2);
755 z5=(0.00wd + linethickness/2, + 1.25ht);
757 set_char_box(0.0, 0.4wd#, 0.25ht#, 1.25ht#);
759 set_char_box(0.0, 0.4wd#, 0.25ht#, 0.25ht#);
766 punctum_char("Ed. Med. punctum", "medicaea.punctum",
769 % left up-stemmed punctum
770 punctum_char("Ed. Med. reverse virga", "medicaea.rvirga",
773 % virga (i.e. left down-stemmed punctum)
774 punctum_char("Ed. Med. virga", "medicaea.virga",
787 % parametrized punctum
788 def punctum_char (expr verbose_name, internal_name,
790 fet_beginchar(verbose_name, "s" & internal_name)
793 draw_diamond_head (staff_space#, 0, 0, alpha#, false);
796 xscaled blot_diameter
797 yscaled (0.7*staff_space)
799 save za, zb; pair za, zb;
800 za = (head_width/2, 0);
801 bot zb = (head_width/2, -1.5staff_space);
803 set_char_box (0, head_width#,
804 1.5staff_space#, head_height#/2);
810 punctum_char("Hufnagel punctum", "hufnagel.punctum", false)
813 punctum_char("Hufnagel virga", "hufnagel.virga", true)
816 fet_beginchar("Hufnagel pes lower punctum", "shufnagel.lpes")
817 save width, height, alpha;
818 width# = 2*staff_space#;
819 height# = 0.7*staff_space#;
822 set_char_box(0, width#, height#/2, height#/2);
824 pickup pencircle scaled linethickness;
825 define_pixels(width, height);
827 rt x3 = -lft x1 = width/2;
830 tand(alpha#) * (y2 - y1) = x2 - x1 = x3 - x4;
832 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
834 currentpicture := currentpicture shifted (width/2, 0);
837 fet_endgroup ("noteheads")