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) =
146 set_char_box (0, head_width#, noteheight#/2, noteheight#/2);
147 charwx := head_width# / 2;
148 charwy := noteheight# / 2;
151 x2 = x4 = (x1 + x3) /2;
152 define_pixels (head_width);
153 pickup pencircle scaled blot_diameter;
159 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
162 def draw_neo_mensural_open_head (expr wid)=
163 draw_neo_mensural_black_head (wid);
165 diamNW = length (z2 - z1) + blot_diameter;
166 diamSW = length (z4 - z1) + blot_diameter;
168 save hole_widthNW, hole_widthSW;
169 hole_widthNW = 0.34 diamNW ;
170 hole_widthSW + 2.6 stafflinethickness = diamSW;
172 (z7 + z5)/2 = (w/2, 0);
173 (z8 + z6)/2 = (w/2, 0);
174 (z6 - z5) = hole_widthNW * unitvector (z2 - z1);
175 (z7 - z6) = hole_widthSW * unitvector (z4 - z1);
177 labels (1,2,3,4,5,6,7,8);
179 unfill z5 -- z6 -- z7 -- z8 --cycle;
182 fet_beginchar("Neo-mensural open head","0neo_mensural","neomensuralsemibrevishead")
183 draw_neo_mensural_open_head (staff_space#);
186 fet_beginchar("Harmonic notehead (Neo-mensural open)","0harmonic","harmonichead")
187 draw_neo_mensural_open_head (staff_space#);
188 charwx := head_width#;
193 fet_beginchar("Neo-mensural open head","1neo_mensural","neomensuralminimahead")
194 draw_neo_mensural_open_head (staff_space#);
197 fet_beginchar("Neo-mensural black head","2neo_mensural","neomensuralsemiminimahead")
198 draw_neo_mensural_black_head (staff_space#);
203 def draw_brevis (expr wid) =
204 % TODO. For the moment, fall back to draw_neo_brevis.
205 draw_neo_brevis(wid);
208 def draw_left_stemmed_head (expr wid) =
212 x6 = x7 = stem_width/2;
214 y7 = y5 - 2.25staff_space;
215 pickup pencircle scaled stem_width;
219 fet_beginchar("Left stemmed notehead", "lmensural", "mensuralleftstemmedhead");
220 draw_left_stemmed_head (staff_space#)
223 def draw_longa (expr wid) =
226 x6 = x7 = head_width - stem_width/2;
228 y7 = y5 - 2.25staff_space;
229 pickup pencircle scaled stem_width;
233 fet_beginchar("Maxima notehead", "-3mensural", "mensuralmaximahead");
234 draw_longa (2.0 staff_space#)
237 fet_beginchar("Longa notehead", "-2mensural", "mensurallongahead");
238 draw_longa (staff_space#)
241 fet_beginchar("Brevis notehead", "-1mensural", "mensuralbrevishead")
242 draw_brevis(staff_space#);
245 def draw_diamond_head (expr head_h, pen_w, pen_h, angle, open) =
246 save head_width, head_height;
247 head_height# = head_h;
248 head_width# / head_height# = tand(angle);
249 define_pixels(head_width, head_height);
251 set_char_box (0, head_width#,
252 head_height#/2, head_height#/2);
254 charwx := head_width# / 2;
255 charwy := head_height# / 2 - stafflinethickness#;
258 xscaled (min(blot_diameter, pen_w * head_width))
259 yscaled (min(blot_diameter, pen_h * head_width))
262 %% FIXME: replace "xpart (top z2)" (and, analogously,
263 %% "ypart (rt z3)") with an expression that really delivers the
264 %% x coordinate of the uppermost pixel that is drawn with respect
265 %% to the pencircle (this requires some elliptical computations).
266 %% MF obviously interprets "xpart (top z2)" as "top (xpart z2)",
267 %% i.e. "top x2", which is not what we want.
269 xpart (top z2) = ypart (rt z3) = 0;
270 top y2 = head_height/2;
271 rt x3 = head_width/2;
276 draw z1 -- z2 -- z3 -- z4 -- cycle;
278 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
281 currentpicture := currentpicture shifted (head_width/2, 0);
286 fet_beginchar("Mensural open head","0mensural","mensuralsemibrevishead")
287 draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
290 fet_beginchar("Mensural open head","1mensural","mensuralminimahead")
291 draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
294 fet_beginchar("Mensural black head","2mensural","mensuralsemiminimahead")
295 draw_diamond_head (staff_space#, 0.15, 0.30, 30, false);
303 % EDITIO VATICANA (including solesmes extensions)
308 % parameterized punctum
309 def punctum_char (expr verbose_name, internal_name, ly_name,
310 left_stem, right_stem, linea, cavum,
311 straight, auctum, direction_up, excentric, up_shift, down_shift, mag) =
313 fet_beginchar(verbose_name, internal_name, ly_name)
315 a_b := 1.54; % b_h*a_b/a_w = wd/ht
319 save a, beta, ht, wd;
320 ht# = noteheight# * mag;
324 black_notehead_width# := wd#;
327 save direction, direction_sign;
334 direction_sign# = -1;
337 % convexity and excentricity
338 save u_convexity, u_excentricity;
340 u_convexity# = -0.01ht#;
341 u_excentricity# = 0.0ht#; % dummy
343 u_convexity# = -0.03ht#;
344 u_excentricity# = +0.25ht#;
346 u_convexity# = -0.05ht#;
347 u_excentricity# = 0.0ht#; % dummy
349 save convexity, excentricity;
350 convexity# = direction_sign# * u_convexity#;
351 excentricity# = direction_sign# * u_excentricity#;
363 define_pixels(convexity, excentricity, yoffs, ht, wd);
364 pickup pencircle scaled stafflinethickness;
367 save height, yoffs_bt;
368 define_pixels (height, yoffs_bt);
370 yoffs_bt# = yoffs# - 0.5*height# - 0.25*convexity#;
371 xpart z1a = xpart z1b;
372 xpart z2a = xpart z2b;
373 xpart z3a = xpart z3b;
374 ypart z1a + height = ypart z1b;
375 ypart z2a + height = ypart z2b;
376 ypart z3a + height = ypart z3b;
378 save box_top, box_bt;
381 z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
382 z2a = (0.21wd, yoffs_bt + 1.0*convexity);
383 z3a = (0.42wd - stafflinethickness/2,
384 yoffs_bt + 1.0*excentricity);
385 box_top# = height# + yoffs_bt# +
386 max(0, 1.0*convexity#, 1.0*excentricity#);
387 box_bt# = yoffs_bt# +
388 min(0, 1.0*convexity#, 1.0*excentricity#);
389 p = z1a .. {right}z2a .. {direction}z3a --
390 z3b{-direction} .. z2b{left} .. z1b -- cycle;
392 z1a = (0.00wd + stafflinethickness/2,
393 yoffs_bt - 1.0*convexity);
394 z2a = (0.08wd, yoffs_bt + 1.4*convexity);
395 z3a = (0.42wd - stafflinethickness/2,
396 yoffs_bt - 1.0*convexity);
397 box_top# = height# + yoffs_bt# +
398 max(-1.0*convexity#, 1.4*convexity#, 0);
399 box_bt# = yoffs_bt# +
400 min(-1.0*convexity#, 1.4*convexity#, 0);
401 p = z1a{direction} .. z2a{right} .. z3a --
402 z3b .. {left}z2b .. {-direction}z1b -- cycle;
404 z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
405 z2a = (0.21wd, yoffs_bt + 1.0*convexity);
406 z3a = (0.42wd - stafflinethickness/2, yoffs_bt);
407 box_top# = height# + yoffs_bt# +
408 max(0, 1.0*convexity#);
409 box_bt# = yoffs_bt# +
410 min(0, 1.0*convexity#);
411 p = z1a .. z2a .. z3a --
412 z3b .. z2b .. z1b -- cycle;
421 pickup pencircle scaled 0.6stafflinethickness;
426 z5=(0.00wd + 0.6stafflinethickness/2, yoffs);
427 z6=(0.00wd + 0.6stafflinethickness/2, yoffs - 1.1ht);
429 stem_bt# = yoffs# - 1.1ht#;
431 z5=(0.42wd - 0.6stafflinethickness/2, yoffs);
432 z6=(0.42wd - 0.6stafflinethickness/2, yoffs - 1.5ht);
434 stem_bt# = yoffs# - 1.5ht#;
439 set_char_box(0.00wd#, 0.42wd#,
440 max(0, -box_bt#, -stem_bt#) + stafflinethickness#/2,
441 max(0, box_top#) + stafflinethickness#/2);
444 save linea_width, linea_height;
445 linea_width# = 0.6 stafflinethickness#;
446 linea_height# = 0.7 ht#;
447 define_pixels (linea_width, linea_height);
448 draw_block ((-0.10wd - linea_width/2,
450 (-0.10wd + linea_width/2,
452 draw_block ((+0.52wd - linea_width/2,
454 (+0.52wd + linea_width/2,
457 0.62wd# + linea_width#,
460 currentpicture := currentpicture
461 shifted (0.10wd + linea_width/2, 0);
466 % parameterized punctum inclinatum
467 def inclinatum_char(expr verbose_name, internal_name, ly_name,
468 small, stropha, auctum) =
470 fet_beginchar(verbose_name, internal_name, ly_name)
474 ht# = 0.50 noteheight#;
476 ht# = 0.80 noteheight#;
479 draw_diamond_head (ht#, 0, 0, alpha#, false);
483 xscaled (0.25*head_height)
484 yscaled (0.55*head_height)
486 save za, off_angle; pair za;
488 za = (0, -0.25*head_height)
489 rotated -(alpha# + off_angle)
490 shifted (0.48 head_width, -0.02 head_width);
495 pickup pencircle scaled stafflinethickness;
498 za = (0, -0.5 head_height + stafflinethickness);
500 zc = za + (0.52 head_width, 0);
501 draw za{(0,-1) rotated alpha#} .. {right}zb{right} ..
502 {(0,1) rotated -alpha#}zc;
508 punctum_char("Ed. Vat. punctum", "vaticana_punctum", "vatpunctumhead",
509 false, false, false, false, false,
510 false, false, false, false, false, 1.0);
512 % punctum cavum (for OpusTeX compatibility)
513 punctum_char("Ed. Vat. punctum cavum", "vaticana_punctum_cavum",
514 "vatpunctumcavumhead",
515 false, false, false, true, false,
516 false, false, false, false, false, 1.0);
518 % linea punctum (for OpusTeX compatibility)
519 punctum_char("Ed. Vat. linea punctum", "vaticana_linea_punctum",
520 "vatlineapunctumhead",
521 false, false, true, false, false,
522 false, false, false, false, false, 1.0);
524 % linea punctum cavum (for OpusTeX compatibility)
525 punctum_char("Ed. Vat. linea punctum cavum", "vaticana_linea_punctum_cavum",
526 "vatlineapunctumcavumhead",
527 false, false, true, true, false,
528 false, false, false, false, false, 1.0);
531 inclinatum_char("Ed. Vat. inclinatum", "vaticana_inclinatum",
533 false, false, false);
536 punctum_char("Ed. Vat. pes lower punctum", "vaticana_lpes", "vatlpeshead",
537 false, false, false, false, true,
538 false, true, false, false, false, 1.0);
541 punctum_char("Ed. Vat. pes var lower punctum", "vaticana_vlpes", "vatvlpeshead",
542 false, false, false, false, true,
543 false, true, false, false, true, 1.0);
546 punctum_char("Ed. Vat. pes upper punctum", "vaticana_upes", "vatupeshead",
547 false, false, false, false, true,
548 false, false, false, false, false, 1.0);
550 % pes upper punctum (shifted variation)
552 % This note head is used instead of the regular pes upper punctum to
553 % avoid collision with the lower punctum note of the pes when the upper
554 % punctum sits directly on top of the lower punctum.
556 punctum_char("Ed. Vat. var pes upper punctum", "vaticana_vupes",
558 false, false, false, false, true,
559 false, false, false, true, false, 1.0);
561 % small punctum as used in epiphonus
562 punctum_char("Ed. Vat. plica", "vaticana_plica", "vatplicahead",
563 false, false, false, false, false,
564 false, false, false, false, false, 0.6);
566 % excentric punctum as used in epiphonus
567 punctum_char("Ed. Vat. epiphonus", "vaticana_epiphonus", "vatepiphonushead",
568 false, false, false, false, false,
569 false, true, true, false, false, 1.0);
571 % excentric punctum as used in epiphonus (shifted variation)
573 % This note head is used instead of the regular epiphonus punctum to
574 % avoid collision with the plica head when the plica sits directly on
575 % top of the lower head.
577 punctum_char("Ed. Vat. var epiphonus", "vaticana_vepiphonus", "vatvepiphonushead",
578 false, false, false, false, false,
579 false, true, true, false, true, 1.0);
581 % small punctum as used in cephalicus
582 punctum_char("Ed. Vat. rev. plica", "vaticana_reverse_plica", "vatrplicahead",
583 false, false, false, false, false,
584 false, true, false, false, false, 0.6);
586 % excentric punctum as used in cephalicus; without left stem
587 punctum_char("Ed. Vat. cephalicus", "vaticana_inner_cephalicus",
588 "vatinnercephalicushead",
589 false, false, false, false, false,
590 false, false, true, false, false, 1.0);
592 % excentric punctum as used in cephalicus; with left stem
593 punctum_char("Ed. Vat. cephalicus", "vaticana_cephalicus",
595 true, false, false, false, false,
596 false, false, true, false, false, 1.0);
599 fet_beginchar("Ed. Vat. quilisma", "vaticana_quilisma", "vatquilismahead")
601 a_b:=1.54; % b_h*a_b/a_w = wd/ht
605 save a, beta, ht, wd;
610 set_char_box(0, 0.42wd#, 0.28 ht#, 0.36 ht#);
611 black_notehead_width# := wd#;
613 define_pixels(ht, wd);
614 pickup pencircle xscaled stafflinethickness yscaled 0.44ht;
615 lft x1 = 0.00wd; bot y1 = -0.28ht;
616 x2 = 0.11wd; y2 = -0.14ht;
617 x3 = 0.12wd; y3 = +0.03ht;
618 x4 = 0.25wd; y4 = -0.09ht;
619 x5 = 0.26wd; y5 = +0.08ht;
620 x6 = 0.40wd; y6 = -0.04ht;
621 rt x7 = 0.42wd; top y7 = +0.36ht;
622 draw z1 .. z2 -- z3 .. z4 -- z5 .. z6 -- z7;
625 % solesmes punctum inclinatum parvum
626 inclinatum_char("Solesmes punctum inclinatum parvum", "solesmes_incl_parvum",
630 % solesmes punctum auctum ascendens
631 punctum_char("Solesmes punctum auctum ascendens", "solesmes_auct_asc",
633 false, false, false, false, false,
634 true, true, false, false, false, 1.0);
636 % solesmes punctum auctum descendens
637 punctum_char("Solesmes punctum auctum descendens", "solesmes_auct_desc",
639 false, false, false, false, false,
640 true, false, false, false, false, 1.0);
642 % solesmes punctum inclinatum auctum
643 inclinatum_char("Solesmes punctum incl. auctum", "solesmes_incl_auctum",
644 "solpunctuminclinatumauctumhead",
648 inclinatum_char("Solesmes stropha", "solesmes_stropha",
652 % solesmes stropha aucta
653 inclinatum_char("Solesmes stropha aucta", "solesmes_stropha_aucta",
654 "solstrophaauctahead",
658 fet_beginchar("Solesmes oriscus", "solesmes_oriscus",
661 a_b := 1.54; % b_h*a_b/a_w = wd/ht
665 save a, beta, ht, wd;
670 black_notehead_width# := wd#;
673 convexity# = +0.05ht#;
675 define_pixels(ht, wd, convexity);
676 pickup pencircle xscaled blot_diameter yscaled 0.50ht;
677 lft x1 = 0.00wd; y1 = -convexity;
678 x2 = 0.16wd; y2 = +convexity;
679 x3 = 0.33wd; y3 = -convexity;
680 rt x4 = 0.50wd; y4 = +convexity;
681 draw z1 .. z2 .. z3 .. z4;
682 set_char_box(0.00wd#, 0.50wd#,
683 0.25ht# + convexity#, 0.25ht# + convexity#);
696 fet_beginchar("Ed. Med. inclinatum", "medicaea_inclinatum",
698 draw_diamond_head (1.2staff_space#, 0, 0, 35, false);
701 % parametrized punctum
702 def punctum_char (expr verbose_name, internal_name, ly_name,
703 left_up_stem, left_down_stem) =
705 fet_beginchar(verbose_name, internal_name, ly_name)
707 save a, beta, ht, wd;
708 ht# = 2 staff_space#;
710 black_notehead_width# := wd#;
712 define_pixels(ht, wd);
714 xscaled blot_diameter
716 z1 = (0.00wd + blot_diameter/2, 0);
717 z2 = (0.4wd - blot_diameter/2, 0);
721 xscaled stafflinethickness
722 yscaled blot_diameter;
725 z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
726 z5=(0.00wd + stafflinethickness/2, - 1.25ht);
728 set_char_box(0.0, 0.4wd#, 1.25ht#, 0.25ht#);
730 z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
731 z5=(0.00wd + stafflinethickness/2, + 1.25ht);
733 set_char_box(0.0, 0.4wd#, 0.25ht#, 1.25ht#);
735 set_char_box(0.0, 0.4wd#, 0.25ht#, 0.25ht#);
742 punctum_char("Ed. Med. punctum", "medicaea_punctum", "medpunctumhead",
745 % left up-stemmed punctum
746 punctum_char("Ed. Med. reverse virga", "medicaea_rvirga", "medrvirgahead",
749 % virga (i.e. left down-stemmed punctum)
750 punctum_char("Ed. Med. virga", "medicaea_virga", "medvirgahead",
763 % parametrized punctum
764 def punctum_char (expr verbose_name, internal_name, ly_name,
766 fet_beginchar(verbose_name, internal_name, ly_name)
769 draw_diamond_head (staff_space#, 0, 0, alpha#, false);
772 xscaled blot_diameter
773 yscaled (0.7*staff_space)
775 save za, zb; pair za, zb;
776 za = (head_width/2, 0);
777 bot zb = (head_width/2, -1.5staff_space);
779 set_char_box (0, head_width#,
780 1.5staff_space#, head_height#/2);
786 punctum_char("Hufnagel punctum", "hufnagel_punctum", "hufpunctumhead", false)
789 punctum_char("Hufnagel virga", "hufnagel_virga", "hufvirgahead", true)
792 fet_beginchar("Hufnagel pes lower punctum", "hufnagel_lpes", "huflpeshead")
793 save width, height, alpha;
794 width# = 2*staff_space#;
795 height# = 0.7*staff_space#;
798 set_char_box(0, width#, height#/2, height#/2);
800 pickup pencircle scaled stafflinethickness;
801 define_pixels(width, height);
803 rt x3 = -lft x1 = width/2;
806 tand(alpha#) * (y2 - y1) = x2 - x1 = x3 - x4;
808 filldraw z1 -- z2 -- z3 -- z4 -- cycle;
810 currentpicture := currentpicture shifted (width/2, 0);
813 fet_endgroup ("noteheads")