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
37 noteheight#:=staff_space# + (1 + overdone_heads)*stafflinethickness#;
38 define_pixels(noteheight);
49 brevis_wid# := 2 staff_space#;
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 - 2.25staff_space;
98 pickup pencircle scaled stem_width;
102 fet_beginchar("Left stemmed notehead", "lneo_mensural", "mensuralleftstemmedhead");
103 draw_neo_left_stemmed_head (brevis_wid#)
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 (1.3 brevis_wid#)
135 fet_beginchar("Longa notehead", "-2neo_mensural", "mensurallongahead");
136 draw_neo_longa (brevis_wid#)
139 fet_beginchar("Brevis notehead", "-1neo_mensural", "mensuralbrevishead")
140 draw_neo_brevis(brevis_wid#);
143 def draw_neo_mensural_black_head (expr wid) =
146 set_char_box (0, head_width#, noteheight#/2, noteheight#/2);
150 x2 = x4 = (x1 + x3) /2;
151 define_pixels (head_width);
152 pickup pencircle scaled blot_diameter;
158 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
161 def draw_neo_mensural_open_head (expr wid)=
162 draw_neo_mensural_black_head (wid);
164 diamNW = length (z2 - z1) + blot_diameter;
165 diamSW = length (z4 - z1) + blot_diameter;
167 save hole_widthNW, hole_widthSW;
168 hole_widthNW = 0.34 diamNW ;
169 hole_widthSW + 2.6 stafflinethickness = diamSW;
171 (z7 + z5)/2 = (w/2, 0);
172 (z8 + z6)/2 = (w/2, 0);
173 (z6 - z5) = hole_widthNW * unitvector (z2 - z1);
174 (z7 - z6) = hole_widthSW * unitvector (z4 - z1);
176 labels (1,2,3,4,5,6,7,8);
178 unfill z5 -- z6 -- z7 -- z8 --cycle;
181 fet_beginchar("Neo-mensural open head","0neo_mensural","neomensuralsemibrevishead")
182 draw_neo_mensural_open_head (staff_space#);
185 fet_beginchar("Neo-mensural open head","1neo_mensural","neomensuralminimahead")
186 draw_neo_mensural_open_head (staff_space#);
189 fet_beginchar("Neo-mensural black head","2neo_mensural","neomensuralsemiminimahead")
190 draw_neo_mensural_black_head (staff_space#);
194 brevis_wid# := 1 staff_space#;
196 def draw_brevis (expr wid) =
197 % TODO. For the moment, fall back to draw_neo_brevis.
198 draw_neo_brevis(wid);
201 def draw_left_stemmed_head (expr wid) =
205 x6 = x7 = stem_width/2;
207 y7 = y5 - 2.25staff_space;
208 pickup pencircle scaled stem_width;
212 fet_beginchar("Left stemmed notehead", "lmensural", "mensuralleftstemmedhead");
213 draw_left_stemmed_head (brevis_wid#)
216 def draw_longa (expr wid) =
219 x6 = x7 = head_width - stem_width/2;
221 y7 = y5 - 2.25staff_space;
222 pickup pencircle scaled stem_width;
226 fet_beginchar("Maxima notehead", "-3mensural", "mensuralmaximahead");
227 draw_longa (2.0 brevis_wid#)
230 fet_beginchar("Longa notehead", "-2mensural", "mensurallongahead");
231 draw_longa (brevis_wid#)
234 fet_beginchar("Brevis notehead", "-1mensural", "mensuralbrevishead")
235 draw_brevis(brevis_wid#);
238 def draw_diamond_head (expr head_h, pen_w, pen_h, angle, open) =
239 save head_width, head_height;
240 head_height# = head_h;
241 head_width# / head_height# = tand(angle);
242 define_pixels(head_width, head_height);
244 set_char_box (0, head_width#,
245 head_height#/2, head_height#/2);
248 xscaled (min(blot_diameter, pen_w * head_width))
249 yscaled (min(blot_diameter, pen_h * head_width))
252 %% FIXME: replace "xpart (top z2)" (and, analogously,
253 %% "ypart (rt z3)") with an expression that really delivers the
254 %% x coordinate of the uppermost pixel that is drawn with respect
255 %% to the pencircle (this requires some elliptical computations).
256 %% MF obviously interprets "xpart (top z2)" as "top (xpart z2)",
257 %% i.e. "top x2", which is not what we want.
259 xpart (top z2) = ypart (rt z3) = 0;
260 top y2 = head_height/2;
261 rt x3 = head_width/2;
266 draw z1 -- z2 -- z3 -- z4 -- cycle;
268 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
271 currentpicture := currentpicture shifted (head_width/2, 0);
276 fet_beginchar("Mensural open head","0mensural","mensuralsemibrevishead")
277 draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
280 fet_beginchar("Mensural open head","1mensural","mensuralminimahead")
281 draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
284 fet_beginchar("Mensural black head","2mensural","mensuralsemiminimahead")
285 draw_diamond_head (staff_space#, 0.15, 0.30, 30, false);
293 % EDITIO VATICANA (including solesmes extensions)
298 % parameterized punctum
299 def punctum_char (expr verbose_name, internal_name, ly_name,
300 left_stem, right_stem, linea, cavum,
301 straight, auctum, direction_up, excentric, up_shift, down_shift, mag) =
303 fet_beginchar(verbose_name, internal_name, ly_name)
305 a_b := 1.54; % b_h*a_b/a_w = wd/ht
309 save a, beta, ht, wd;
310 ht# = noteheight# * mag;
314 black_notehead_width# := wd#;
317 save direction, direction_sign;
324 direction_sign# = -1;
327 % convexity and excentricity
328 save u_convexity, u_excentricity;
330 u_convexity# = -0.01ht#;
331 u_excentricity# = 0.0ht#; % dummy
333 u_convexity# = -0.03ht#;
334 u_excentricity# = +0.25ht#;
336 u_convexity# = -0.05ht#;
337 u_excentricity# = 0.0ht#; % dummy
339 save convexity, excentricity;
340 convexity# = direction_sign# * u_convexity#;
341 excentricity# = direction_sign# * u_excentricity#;
353 define_pixels(convexity, excentricity, yoffs, ht, wd);
354 pickup pencircle scaled stafflinethickness;
357 save height, yoffs_bt;
358 define_pixels (height, yoffs_bt);
360 yoffs_bt# = yoffs# - 0.5*height# - 0.25*convexity#;
361 xpart z1a = xpart z1b;
362 xpart z2a = xpart z2b;
363 xpart z3a = xpart z3b;
364 ypart z1a + height = ypart z1b;
365 ypart z2a + height = ypart z2b;
366 ypart z3a + height = ypart z3b;
368 save box_top, box_bt;
371 z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
372 z2a = (0.21wd, yoffs_bt + 1.0*convexity);
373 z3a = (0.42wd - stafflinethickness/2,
374 yoffs_bt + 1.0*excentricity);
375 box_top# = height# + yoffs_bt# +
376 max(0, 1.0*convexity#, 1.0*excentricity#);
377 box_bt# = yoffs_bt# +
378 min(0, 1.0*convexity#, 1.0*excentricity#);
379 p = z1a .. {right}z2a .. {direction}z3a --
380 z3b{-direction} .. z2b{left} .. z1b -- cycle;
382 z1a = (0.00wd + stafflinethickness/2,
383 yoffs_bt - 1.0*convexity);
384 z2a = (0.08wd, yoffs_bt + 1.4*convexity);
385 z3a = (0.42wd - stafflinethickness/2,
386 yoffs_bt - 1.0*convexity);
387 box_top# = height# + yoffs_bt# +
388 max(-1.0*convexity#, 1.4*convexity#, 0);
389 box_bt# = yoffs_bt# +
390 min(-1.0*convexity#, 1.4*convexity#, 0);
391 p = z1a{direction} .. z2a{right} .. z3a --
392 z3b .. {left}z2b .. {-direction}z1b -- cycle;
394 z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
395 z2a = (0.21wd, yoffs_bt + 1.0*convexity);
396 z3a = (0.42wd - stafflinethickness/2, yoffs_bt);
397 box_top# = height# + yoffs_bt# +
398 max(0, 1.0*convexity#);
399 box_bt# = yoffs_bt# +
400 min(0, 1.0*convexity#);
401 p = z1a .. z2a .. z3a --
402 z3b .. z2b .. z1b -- cycle;
411 pickup pencircle scaled 0.6stafflinethickness;
416 z5=(0.00wd + 0.6stafflinethickness/2, yoffs);
417 z6=(0.00wd + 0.6stafflinethickness/2, yoffs - 1.1ht);
419 stem_bt# = yoffs# - 1.1ht#;
421 z5=(0.42wd - 0.6stafflinethickness/2, yoffs);
422 z6=(0.42wd - 0.6stafflinethickness/2, yoffs - 1.5ht);
424 stem_bt# = yoffs# - 1.5ht#;
429 set_char_box(0.00wd#, 0.42wd#,
430 max(0, -box_bt#, -stem_bt#) + stafflinethickness#/2,
431 max(0, box_top#) + stafflinethickness#/2);
434 save linea_width, linea_height;
435 linea_width# = 0.6 stafflinethickness#;
436 linea_height# = 0.7 ht#;
437 define_pixels (linea_width, linea_height);
438 draw_block ((-0.10wd - linea_width/2,
440 (-0.10wd + linea_width/2,
442 draw_block ((+0.52wd - linea_width/2,
444 (+0.52wd + linea_width/2,
447 0.62wd# + linea_width#,
450 currentpicture := currentpicture
451 shifted (0.10wd + linea_width/2, 0);
456 % parameterized punctum inclinatum
457 def inclinatum_char(expr verbose_name, internal_name, ly_name,
458 small, stropha, auctum) =
460 fet_beginchar(verbose_name, internal_name, ly_name)
464 ht# = 0.50 noteheight#;
466 ht# = 0.80 noteheight#;
469 draw_diamond_head (ht#, 0, 0, alpha#, false);
473 xscaled (0.25*head_height)
474 yscaled (0.55*head_height)
476 save za, off_angle; pair za;
478 za = (0, -0.25*head_height)
479 rotated -(alpha# + off_angle)
480 shifted (0.48 head_width, -0.02 head_width);
485 pickup pencircle scaled stafflinethickness;
488 za = (0, -0.5 head_height + stafflinethickness);
490 zc = za + (0.52 head_width, 0);
491 draw za{(0,-1) rotated alpha#} .. {right}zb{right} ..
492 {(0,1) rotated -alpha#}zc;
498 punctum_char("Ed. Vat. punctum", "vaticana_punctum", "vatpunctumhead",
499 false, false, false, false, false,
500 false, false, false, false, false, 1.0);
502 % punctum cavum (for OpusTeX compatibility)
503 punctum_char("Ed. Vat. punctum cavum", "vaticana_punctum_cavum",
504 "vatpunctumcavumhead",
505 false, false, false, true, false,
506 false, false, false, false, false, 1.0);
508 % linea punctum (for OpusTeX compatibility)
509 punctum_char("Ed. Vat. linea punctum", "vaticana_linea_punctum",
510 "vatlineapunctumhead",
511 false, false, true, false, false,
512 false, false, false, false, false, 1.0);
514 % linea punctum cavum (for OpusTeX compatibility)
515 punctum_char("Ed. Vat. linea punctum cavum", "vaticana_linea_punctum_cavum",
516 "vatlineapunctumcavumhead",
517 false, false, true, true, false,
518 false, false, false, false, false, 1.0);
521 inclinatum_char("Ed. Vat. inclinatum", "vaticana_inclinatum",
523 false, false, false);
526 punctum_char("Ed. Vat. pes lower punctum", "vaticana_lpes", "vatlpeshead",
527 false, false, false, false, true,
528 false, true, false, false, false, 1.0);
531 punctum_char("Ed. Vat. pes var lower punctum", "vaticana_vlpes", "vatvlpeshead",
532 false, false, false, false, true,
533 false, true, false, false, true, 1.0);
536 punctum_char("Ed. Vat. pes upper punctum", "vaticana_upes", "vatupeshead",
537 false, false, false, false, true,
538 false, false, false, false, false, 1.0);
540 % pes upper punctum (shifted variation)
542 % This note head is used instead of the regular pes upper punctum to
543 % avoid collision with the lower punctum note of the pes when the upper
544 % punctum sits directly on top of the lower punctum.
546 punctum_char("Ed. Vat. var pes upper punctum", "vaticana_vupes",
548 false, false, false, false, true,
549 false, false, false, true, false, 1.0);
551 % small punctum as used in epiphonus
552 punctum_char("Ed. Vat. plica", "vaticana_plica", "vatplicahead",
553 false, false, false, false, false,
554 false, false, false, false, false, 0.6);
556 % excentric punctum as used in epiphonus
557 punctum_char("Ed. Vat. epiphonus", "vaticana_epiphonus", "vatepiphonushead",
558 false, false, false, false, false,
559 false, true, true, false, false, 1.0);
561 % excentric punctum as used in epiphonus (shifted variation)
563 % This note head is used instead of the regular epiphonus punctum to
564 % avoid collision with the plica head when the plica sits directly on
565 % top of the lower head.
567 punctum_char("Ed. Vat. var epiphonus", "vaticana_vepiphonus", "vatvepiphonushead",
568 false, false, false, false, false,
569 false, true, true, false, true, 1.0);
571 % small punctum as used in cephalicus
572 punctum_char("Ed. Vat. rev. plica", "vaticana_reverse_plica", "vatrplicahead",
573 false, false, false, false, false,
574 false, true, false, false, false, 0.6);
576 % excentric punctum as used in cephalicus; without left stem
577 punctum_char("Ed. Vat. cephalicus", "vaticana_inner_cephalicus",
578 "vatinnercephalicushead",
579 false, false, false, false, false,
580 false, false, true, false, false, 1.0);
582 % excentric punctum as used in cephalicus; with left stem
583 punctum_char("Ed. Vat. cephalicus", "vaticana_cephalicus",
585 true, false, false, false, false,
586 false, false, true, false, false, 1.0);
589 fet_beginchar("Ed. Vat. quilisma", "vaticana_quilisma", "vatquilismahead")
591 a_b:=1.54; % b_h*a_b/a_w = wd/ht
595 save a, beta, ht, wd;
600 set_char_box(0, 0.42wd#, 0.28 ht#, 0.36 ht#);
601 black_notehead_width# := wd#;
603 define_pixels(ht, wd);
604 pickup pencircle xscaled stafflinethickness yscaled 0.44ht;
605 lft x1 = 0.00wd; bot y1 = -0.28ht;
606 x2 = 0.11wd; y2 = -0.14ht;
607 x3 = 0.12wd; y3 = +0.03ht;
608 x4 = 0.25wd; y4 = -0.09ht;
609 x5 = 0.26wd; y5 = +0.08ht;
610 x6 = 0.40wd; y6 = -0.04ht;
611 rt x7 = 0.42wd; top y7 = +0.36ht;
612 draw z1 .. z2 -- z3 .. z4 -- z5 .. z6 -- z7;
615 % solesmes punctum inclinatum parvum
616 inclinatum_char("Solesmes punctum inclinatum parvum", "solesmes_incl_parvum",
620 % solesmes punctum auctum ascendens
621 punctum_char("Solesmes punctum auctum ascendens", "solesmes_auct_asc",
623 false, false, false, false, false,
624 true, true, false, false, false, 1.0);
626 % solesmes punctum auctum descendens
627 punctum_char("Solesmes punctum auctum descendens", "solesmes_auct_desc",
629 false, false, false, false, false,
630 true, false, false, false, false, 1.0);
632 % solesmes punctum inclinatum auctum
633 inclinatum_char("Solesmes punctum incl. auctum", "solesmes_incl_auctum",
634 "solpunctuminclinatumauctumhead",
638 inclinatum_char("Solesmes stropha", "solesmes_stropha",
642 % solesmes stropha aucta
643 inclinatum_char("Solesmes stropha aucta", "solesmes_stropha_aucta",
644 "solstrophaauctahead",
648 fet_beginchar("Solesmes oriscus", "solesmes_oriscus",
651 a_b := 1.54; % b_h*a_b/a_w = wd/ht
655 save a, beta, ht, wd;
660 black_notehead_width# := wd#;
663 convexity# = +0.05ht#;
665 define_pixels(ht, wd, convexity);
666 pickup pencircle xscaled blot_diameter yscaled 0.50ht;
667 lft x1 = 0.00wd; y1 = -convexity;
668 x2 = 0.16wd; y2 = +convexity;
669 x3 = 0.33wd; y3 = -convexity;
670 rt x4 = 0.50wd; y4 = +convexity;
671 draw z1 .. z2 .. z3 .. z4;
672 set_char_box(0.00wd#, 0.50wd#,
673 0.25ht# + convexity#, 0.25ht# + convexity#);
686 fet_beginchar("Ed. Med. inclinatum", "medicaea_inclinatum",
688 draw_diamond_head (1.2staff_space#, 0, 0, 35, false);
691 % parametrized punctum
692 def punctum_char (expr verbose_name, internal_name, ly_name,
693 left_up_stem, left_down_stem) =
695 fet_beginchar(verbose_name, internal_name, ly_name)
697 save a, beta, ht, wd;
698 ht# = 2 staff_space#;
700 black_notehead_width# := wd#;
702 define_pixels(ht, wd);
704 xscaled blot_diameter
706 z1 = (0.00wd + blot_diameter/2, 0);
707 z2 = (0.4wd - blot_diameter/2, 0);
711 xscaled stafflinethickness
712 yscaled blot_diameter;
715 z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
716 z5=(0.00wd + stafflinethickness/2, - 1.25ht);
718 set_char_box(0.0, 0.4wd#, 1.25ht#, 0.25ht#);
720 z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
721 z5=(0.00wd + stafflinethickness/2, + 1.25ht);
723 set_char_box(0.0, 0.4wd#, 0.25ht#, 1.25ht#);
725 set_char_box(0.0, 0.4wd#, 0.25ht#, 0.25ht#);
732 punctum_char("Ed. Med. punctum", "medicaea_punctum", "medpunctumhead",
735 % left up-stemmed punctum
736 punctum_char("Ed. Med. reverse virga", "medicaea_rvirga", "medrvirgahead",
739 % virga (i.e. left down-stemmed punctum)
740 punctum_char("Ed. Med. virga", "medicaea_virga", "medvirgahead",
753 % parametrized punctum
754 def punctum_char (expr verbose_name, internal_name, ly_name,
756 fet_beginchar(verbose_name, internal_name, ly_name)
759 draw_diamond_head (staff_space#, 0, 0, alpha#, false);
762 xscaled blot_diameter
763 yscaled (0.7*staff_space)
765 save za, zb; pair za, zb;
766 za = (head_width/2, 0);
767 bot zb = (head_width/2, -1.5staff_space);
769 set_char_box (0, head_width#,
770 1.5staff_space#, head_height#/2);
776 punctum_char("Hufnagel punctum", "hufnagel_punctum", "hufpunctumhead", false)
779 punctum_char("Hufnagel virga", "hufnagel_virga", "hufvirgahead", true)
782 fet_beginchar("Hufnagel pes lower punctum", "hufnagel_lpes", "huflpeshead")
783 save width, height, alpha;
784 width# = 2*staff_space#;
785 height# = 0.7*staff_space#;
788 set_char_box(0, width#, height#/2, height#/2);
790 pickup pencircle scaled stafflinethickness;
791 define_pixels(width, height);
793 rt x3 = -lft x1 = width/2;
796 tand(alpha#) * (y2 - y1) = x2 - x1 = x3 - x4;
798 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
800 currentpicture := currentpicture shifted (width/2, 0);
803 fet_endgroup ("noteheads")