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1 % -%-Fundamental-%- -*-Metafont-*-
2 % parmesan-heads.mf -- implement ancient note heads
3
4 % source file of LilyPond's pretty-but-neat music font
5
6 % (c)  2001--2003 Juergen Reuter <reuter@ipd.uka.de>
7
8 % Neo-mensural heads originally by
9 % Christian Mondrup and Mats Bengtsson
10
11
12 save black_notehead_width;
13 numeric black_notehead_width;
14
15 fet_begingroup ("noteheads")
16
17 %
18 % character aligment:
19 %
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).
23 %
24 % set_char_box() conventions:
25 %
26 % * breapth: Ignored (as far as I know).  Should be set to 0.
27 %
28 % * width: Should match the head's width.
29 %
30 % * depth: Should match the bottom edge of the head.  Affects vertical
31 %   collision handling.
32 %
33 % * height: Should match the top edge of the head.  Affects vertical
34 %   collision handling.
35 %
36
37 overdone_heads = 0;
38 noteheight# := staff_space# + (1 + overdone_heads)*stafflinethickness#;
39 define_pixels(noteheight);
40
41
42 %%%%%%%%
43 %
44 %
45 %
46 % MENSURAL NOTATION
47 %
48 %
49 %
50
51 def draw_neo_brevis(expr brevwid) =
52         save beamheight, head_width;
53         save holeheight, stem_width;
54         save serif_size, serif_protrude;
55
56         head_width# = brevwid;
57         holeheight = 3 stafflinethickness;
58         stem_width = 1.4 stafflinethickness;
59
60
61         define_pixels(head_width);
62         set_char_box(0, head_width#, noteheight#/2, noteheight#/2);
63         
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);
72
73         z1l = (0, 0);
74         z2l = (0, -stafflinethickness/2);
75         z3r = z2r + serif_size *(1,-1);
76         y4r = y3r;
77         x4r = head_width/2;
78         z5l = z3l + (-serif_size, -serif_protrude);
79
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;
83
84         addto currentpicture also currentpicture yscaled -1;
85         show z4r; show z4l;
86         addto currentpicture also currentpicture 
87                 shifted (-x4r,0) xscaled -1 shifted (x4l,0);
88
89 enddef;
90
91
92 def draw_neo_left_stemmed_head (expr wid) =
93         draw_neo_brevis(wid);
94
95         x6 = x7 = head_width - stem_width/2;
96         y6 = y5;
97         y7 = y5 - 2.25 staff_space;
98         pickup pencircle scaled stem_width;
99         draw z6 .. z7;
100 enddef;
101
102 fet_beginchar("Left stemmed notehead", "lneo_mensural", "mensuralleftstemmedhead");
103         draw_neo_left_stemmed_head (2 staff_space#);
104 fet_endchar;
105
106 %
107 % Some sources (eg Musix/OpusTeX think that the appendage should be on
108 % the left, some say right. Right wins democratically.
109 %
110 def draw_neo_longa (expr wid) =
111         draw_neo_brevis(wid);
112         save theta;
113
114         x7r = head_width;
115         y7 = y5;
116 %       z7 = z5;
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);
121         
122         fill z7r .. z6r{z6-z7} .. {z7-z6} z6l -- z7l -- cycle;
123         penlabels(6,7);
124 enddef;
125
126 %
127 % En wij presenteren U: de opvolgster van Emily
128 %
129 % (ze is wel breed)
130
131 fet_beginchar("Maxima notehead", "-3neo_mensural", "mensuralmaximahead");
132         draw_neo_longa (2.6 staff_space#)
133 fet_endchar;
134
135 fet_beginchar("Longa notehead", "-2neo_mensural", "mensurallongahead");
136         draw_neo_longa (2 staff_space#)
137 fet_endchar;
138
139 fet_beginchar("Brevis notehead", "-1neo_mensural", "mensuralbrevishead")
140         draw_neo_brevis(2 staff_space#);
141 fet_endchar;
142
143 def draw_neo_mensural_black_head (expr wid) =
144         save head_width;
145         head_width# = wid;
146         set_char_box (0, head_width#, noteheight#/2, noteheight#/2);
147         charwx := head_width# / 2;
148         charwy := noteheight# / 2;
149
150         y3 = y1 =0;
151         x2 = x4 = (x1 + x3) /2;
152         define_pixels (head_width);
153         pickup pencircle scaled blot_diameter;
154         top y2 = h;
155         bot y4 = -d;
156         lft x1 = 0;
157         rt x3 = w;
158
159         filldraw z1 -- z2 -- z3 -- z4 -- cycle;
160 enddef;
161
162 def draw_neo_mensural_open_head (expr wid)=
163         draw_neo_mensural_black_head (wid);
164         save diamNW, diamSW;
165         diamNW = length (z2 - z1) + blot_diameter;
166         diamSW = length (z4 - z1) + blot_diameter;
167         
168         save hole_widthNW, hole_widthSW;
169         hole_widthNW = 0.34 diamNW ;
170         hole_widthSW + 2.6 stafflinethickness = diamSW;
171
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);
176
177         labels (1,2,3,4,5,6,7,8);
178
179         unfill z5 -- z6 -- z7 -- z8 --cycle;
180 enddef;
181
182 fet_beginchar("Neo-mensural open head","0neo_mensural","neomensuralsemibrevishead")
183       draw_neo_mensural_open_head (staff_space#);
184 fet_endchar;
185
186 fet_beginchar("Neo-mensural open head","1neo_mensural","neomensuralminimahead")
187       draw_neo_mensural_open_head (staff_space#);
188 fet_endchar;
189
190 fet_beginchar("Neo-mensural black head","2neo_mensural","neomensuralsemiminimahead")
191       draw_neo_mensural_black_head (staff_space#);
192 fet_endchar;
193
194
195
196 def draw_brevis (expr wid) =
197         % TODO.  For the moment, fall back to draw_neo_brevis.
198         draw_neo_brevis(wid);
199 enddef;
200
201 def draw_left_stemmed_head (expr wid) =
202         draw_brevis(wid);
203         save theta;
204
205         x6 = x7 = stem_width/2;
206         y6 = y5;
207         y7 = y5 - 2.25staff_space;
208         pickup pencircle scaled stem_width;
209         draw z6 .. z7;
210 enddef;
211
212 fet_beginchar("Left stemmed notehead", "lmensural", "mensuralleftstemmedhead");
213         draw_left_stemmed_head (staff_space#)
214 fet_endchar;
215
216 def draw_longa (expr wid) =
217         draw_brevis(wid);
218
219         x6 = x7 = head_width - stem_width/2;
220         y6 = y5;
221         y7 = y5 - 2.25staff_space;
222         pickup pencircle scaled stem_width;
223         draw z6 .. z7;
224 enddef;
225
226 fet_beginchar("Maxima notehead", "-3mensural", "mensuralmaximahead");
227         draw_longa (2.0 staff_space#)
228 fet_endchar;
229
230 fet_beginchar("Longa notehead", "-2mensural", "mensurallongahead");
231         draw_longa (staff_space#)
232 fet_endchar;
233
234 fet_beginchar("Brevis notehead", "-1mensural", "mensuralbrevishead")
235         draw_brevis(staff_space#);
236 fet_endchar;
237
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);
243
244       set_char_box (0, head_width#,
245         head_height#/2, head_height#/2);
246       
247       charwx := head_width# / 2;
248       charwy := head_height# / 2 - stafflinethickness#;
249
250       pickup pencircle
251              xscaled (min(blot_diameter, pen_w * head_width))
252              yscaled (min(blot_diameter, pen_h * head_width))
253              rotated -angle;
254
255       %% FIXME: replace "xpart (top z2)" (and, analogously,
256       %% "ypart (rt z3)") with an expression that really delivers the
257       %% x coordinate of the uppermost pixel that is drawn with respect
258       %% to the pencircle (this requires some elliptical computations).
259       %% MF obviously interprets "xpart (top z2)" as "top (xpart z2)",
260       %% i.e. "top x2", which is not what we want.
261
262       xpart (top z2) = ypart (rt z3) = 0;
263       top y2 = head_height/2;
264       rt x3 = head_width/2;
265       z2 = - z4;
266       z3 = - z1;
267
268       if open:
269               draw z1 -- z2 -- z3 -- z4 -- cycle;
270       else:
271               filldraw z1 -- z2 -- z3 -- z4 -- cycle;
272       fi;
273
274       currentpicture := currentpicture shifted (head_width/2, 0);
275
276 enddef;
277
278
279 fet_beginchar("Mensural open head","0mensural","mensuralsemibrevishead")
280         draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
281 fet_endchar;
282
283 fet_beginchar("Mensural open head","1mensural","mensuralminimahead")
284         draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
285 fet_endchar;
286
287 fet_beginchar("Mensural black head","2mensural","mensuralsemiminimahead")
288         draw_diamond_head (staff_space#, 0.15, 0.30, 30, false);
289 fet_endchar;
290
291
292 %%%%%%%%
293 %
294 %
295 %
296 % EDITIO VATICANA (including solesmes extensions)
297 %
298 %
299 %
300
301 % parameterized punctum
302 def punctum_char (expr verbose_name, internal_name, ly_name,
303                   left_stem, right_stem, linea, cavum,
304                   straight, auctum, direction_up, excentric, up_shift, down_shift, mag) =
305
306         fet_beginchar(verbose_name, internal_name, ly_name)
307                 save b_h, a_w;
308                 a_b := 1.54; % b_h*a_b/a_w = wd/ht
309                 b_h := 0.85;
310                 a_w := 1.09;
311
312                 save a, beta, ht, wd;
313                 ht# = noteheight# * mag;
314                 2beta# = ht# * b_h;
315                 a# = beta# * a_b;
316                 wd# = 2a# / a_w;
317                 black_notehead_width# := wd#;
318
319                 % direction
320                 save direction, direction_sign;
321                 pair direction;
322                 if direction_up:
323                         direction = up;
324                         direction_sign# = 1;
325                 else:
326                         direction = down;
327                         direction_sign# = -1;
328                 fi;
329
330                 % convexity and excentricity
331                 save u_convexity, u_excentricity;
332                 if straight:
333                         u_convexity# = -0.01ht#;
334                         u_excentricity# = 0.0ht#; % dummy
335                 elseif auctum:
336                         u_convexity# = -0.03ht#;
337                         u_excentricity# = +0.25ht#;
338                 else:
339                         u_convexity# = -0.05ht#;
340                         u_excentricity# = 0.0ht#; % dummy
341                 fi;
342                 save convexity, excentricity;
343                 convexity# = direction_sign# * u_convexity#;
344                 excentricity# = direction_sign# * u_excentricity#;
345
346                 % y shift offset
347                 save yoffs;
348                 if up_shift:
349                         yoffs# = 0.08ht#;
350                 elseif down_shift:
351                         yoffs# = -0.11ht#;
352                 else:
353                         yoffs# = 0.00ht#;
354                 fi
355
356                 define_pixels(convexity, excentricity, yoffs, ht, wd);
357                 pickup pencircle scaled stafflinethickness;
358
359                 path p;
360                 save height, yoffs_bt;
361                 define_pixels (height, yoffs_bt);
362                 height# = 0.47ht#;
363                 yoffs_bt# = yoffs# - 0.5*height# - 0.25*convexity#;
364                 xpart z1a = xpart z1b;
365                 xpart z2a = xpart z2b;
366                 xpart z3a = xpart z3b;
367                 ypart z1a + height = ypart z1b;
368                 ypart z2a + height = ypart z2b;
369                 ypart z3a + height = ypart z3b;
370
371                 save box_top, box_bt;
372
373                 if auctum:
374                         z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
375                         z2a = (0.21wd, yoffs_bt + 1.0*convexity);
376                         z3a = (0.42wd - stafflinethickness/2,
377                                yoffs_bt + 1.0*excentricity);
378                         box_top# = height# + yoffs_bt# +
379                                 max(0, 1.0*convexity#, 1.0*excentricity#);
380                         box_bt# = yoffs_bt# +
381                                 min(0, 1.0*convexity#, 1.0*excentricity#);
382                         p = z1a .. {right}z2a .. {direction}z3a --
383                             z3b{-direction} .. z2b{left} .. z1b -- cycle;
384                 elseif excentric:
385                         z1a = (0.00wd + stafflinethickness/2,
386                                yoffs_bt - 1.0*convexity);
387                         z2a = (0.08wd, yoffs_bt + 1.4*convexity);
388                         z3a = (0.42wd - stafflinethickness/2,
389                                yoffs_bt - 1.0*convexity);
390                         box_top# = height# + yoffs_bt# +
391                                 max(-1.0*convexity#, 1.4*convexity#, 0);
392                         box_bt# = yoffs_bt# +
393                                 min(-1.0*convexity#, 1.4*convexity#, 0);
394                         p = z1a{direction} .. z2a{right} .. z3a --
395                             z3b .. {left}z2b .. {-direction}z1b -- cycle;
396                 else:
397                         z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
398                         z2a = (0.21wd, yoffs_bt + 1.0*convexity);
399                         z3a = (0.42wd - stafflinethickness/2, yoffs_bt);
400                         box_top# = height# + yoffs_bt# +
401                                 max(0, 1.0*convexity#);
402                         box_bt# = yoffs_bt# +
403                                 min(0, 1.0*convexity#);
404                         p = z1a .. z2a .. z3a --
405                             z3b .. z2b .. z1b -- cycle;
406                 fi;
407
408                 if cavum:
409                         draw p;
410                 else:
411                         filldraw p;
412                 fi;
413
414                 pickup pencircle scaled 0.6stafflinethickness;
415
416                 save stem_bt;
417
418                 if left_stem:
419                         z5=(0.00wd + 0.6stafflinethickness/2, yoffs);
420                         z6=(0.00wd + 0.6stafflinethickness/2, yoffs - 1.1ht);
421                         draw z5 -- z6;
422                         stem_bt# = yoffs# - 1.1ht#;
423                 elseif right_stem:
424                         z5=(0.42wd - 0.6stafflinethickness/2, yoffs);
425                         z6=(0.42wd - 0.6stafflinethickness/2, yoffs - 1.5ht);
426                         draw z5 -- z6;
427                         stem_bt# = yoffs# - 1.5ht#;
428                 else:
429                         stem_bt# = 0;
430                 fi;
431
432                 set_char_box(0.00wd#, 0.42wd#,
433                              max(0, -box_bt#, -stem_bt#) + stafflinethickness#/2,
434                              max(0, box_top#) + stafflinethickness#/2);
435
436                 if linea:
437                         save linea_width, linea_height;
438                         linea_width# = 0.6 stafflinethickness#;
439                         linea_height# = 0.7 ht#;
440                         define_pixels (linea_width, linea_height);
441                         draw_block ((-0.10wd - linea_width/2,
442                                      -linea_height/2),
443                                     (-0.10wd + linea_width/2,
444                                      +linea_height/2));
445                         draw_block ((+0.52wd - linea_width/2,
446                                      -linea_height/2),
447                                     (+0.52wd + linea_width/2,
448                                      +linea_height/2));
449                         set_char_box(0,
450                                      0.62wd# + linea_width#,
451                                      linea_height#/2,
452                                      linea_height#/2);
453                         currentpicture := currentpicture
454                                 shifted (0.10wd + linea_width/2, 0);
455                 fi;
456         fet_endchar;
457 enddef;
458
459 % parameterized punctum inclinatum
460 def inclinatum_char(expr verbose_name, internal_name, ly_name,
461                     small, stropha, auctum) =
462
463         fet_beginchar(verbose_name, internal_name, ly_name)
464                 save ht, alpha;
465                 alpha# = 35;
466                 if small:
467                         ht# = 0.50 noteheight#;
468                 else:
469                         ht# = 0.80 noteheight#;
470                 fi;
471
472                 draw_diamond_head (ht#, 0, 0, alpha#, false);
473
474                 if stropha:
475                         pickup pencircle
476                                 xscaled (0.25*head_height)
477                                 yscaled (0.55*head_height)
478                                 rotated alpha#;
479                         save za, off_angle; pair za;
480                         off_angle := 15;
481                         za = (0, -0.25*head_height)
482                                 rotated -(alpha# + off_angle)
483                                 shifted (0.48 head_width, -0.02 head_width);
484                         undraw za;
485                 fi;
486
487                 if auctum:
488                         pickup pencircle scaled stafflinethickness;
489                         save za, zb, zc;
490                         pair za, zb, zc;
491                         za = (0, -0.5 head_height + stafflinethickness);
492                         zb = 0.6 (za + zc);
493                         zc = za + (0.52 head_width, 0);
494                         draw za{(0,-1) rotated alpha#} .. {right}zb{right} ..
495                              {(0,1) rotated -alpha#}zc;
496                 fi;
497         fet_endchar;
498 enddef;
499
500 % punctum
501 punctum_char("Ed. Vat. punctum", "vaticana_punctum", "vatpunctumhead",
502              false, false, false, false, false,
503              false, false, false, false, false, 1.0);
504
505 % punctum cavum (for OpusTeX compatibility)
506 punctum_char("Ed. Vat. punctum cavum", "vaticana_punctum_cavum",
507              "vatpunctumcavumhead",
508              false, false, false, true, false,
509              false, false, false, false, false, 1.0);
510
511 % linea punctum (for OpusTeX compatibility)
512 punctum_char("Ed. Vat. linea punctum", "vaticana_linea_punctum",
513              "vatlineapunctumhead",
514              false, false, true, false, false,
515              false, false, false, false, false, 1.0);
516
517 % linea punctum cavum (for OpusTeX compatibility)
518 punctum_char("Ed. Vat. linea punctum cavum", "vaticana_linea_punctum_cavum",
519              "vatlineapunctumcavumhead",
520              false, false, true, true, false,
521              false, false, false, false, false, 1.0);
522
523 % punctum inclinatum
524 inclinatum_char("Ed. Vat. inclinatum", "vaticana_inclinatum",
525                 "vatinclinatumhead",
526                 false, false, false);
527
528 % pes lower punctum
529 punctum_char("Ed. Vat. pes lower punctum", "vaticana_lpes", "vatlpeshead",
530              false, false, false, false, true,
531              false, true, false, false, false, 1.0);
532
533 % pes lower punctum
534 punctum_char("Ed. Vat. pes var lower punctum", "vaticana_vlpes", "vatvlpeshead",
535              false, false, false, false, true,
536              false, true, false, false, true, 1.0);
537
538 % pes upper punctum
539 punctum_char("Ed. Vat. pes upper punctum", "vaticana_upes", "vatupeshead",
540              false, false, false, false, true,
541              false, false, false, false, false, 1.0);
542
543 % pes upper punctum (shifted variation)
544 %
545 % This note head is used instead of the regular pes upper punctum to
546 % avoid collision with the lower punctum note of the pes when the upper
547 % punctum sits directly on top of the lower punctum.
548 %
549 punctum_char("Ed. Vat. var pes upper punctum", "vaticana_vupes",
550              "vatvupeshead",
551              false, false, false, false, true,
552              false, false, false, true, false, 1.0);
553
554 % small punctum as used in epiphonus
555 punctum_char("Ed. Vat. plica", "vaticana_plica", "vatplicahead",
556              false, false, false, false, false,
557              false, false, false, false, false, 0.6);
558
559 % excentric punctum as used in epiphonus
560 punctum_char("Ed. Vat. epiphonus", "vaticana_epiphonus", "vatepiphonushead",
561              false, false, false, false, false,
562              false, true, true, false, false, 1.0);
563
564 % excentric punctum as used in epiphonus (shifted variation)
565 %
566 % This note head is used instead of the regular epiphonus punctum to
567 % avoid collision with the plica head when the plica sits directly on
568 % top of the lower head.
569 %
570 punctum_char("Ed. Vat. var epiphonus", "vaticana_vepiphonus", "vatvepiphonushead",
571              false, false, false, false, false,
572              false, true, true, false, true, 1.0);
573
574 % small punctum as used in cephalicus
575 punctum_char("Ed. Vat. rev. plica", "vaticana_reverse_plica", "vatrplicahead",
576              false, false, false, false, false,
577              false, true, false, false, false, 0.6);
578
579 % excentric punctum as used in cephalicus; without left stem
580 punctum_char("Ed. Vat. cephalicus", "vaticana_inner_cephalicus",
581              "vatinnercephalicushead",
582              false, false, false, false, false,
583              false, false, true, false, false, 1.0);
584
585 % excentric punctum as used in cephalicus; with left stem
586 punctum_char("Ed. Vat. cephalicus", "vaticana_cephalicus",
587              "vatcephalicushead",
588              true, false, false, false, false,
589              false, false, true, false, false, 1.0);
590
591 % quilisma
592 fet_beginchar("Ed. Vat. quilisma", "vaticana_quilisma", "vatquilismahead")
593         save b_h,a_w;
594         a_b:=1.54; % b_h*a_b/a_w = wd/ht
595         b_h:=0.85;
596         a_w:=1.09;
597
598         save a, beta, ht, wd;
599         ht# = noteheight#;
600         2beta# = ht#*b_h;
601         a# = beta#*a_b;
602         wd# = 2a# / a_w;
603         set_char_box(0, 0.42wd#, 0.28 ht#, 0.36 ht#);
604         black_notehead_width# := wd#;
605
606         define_pixels(ht, wd);
607         pickup pencircle xscaled stafflinethickness yscaled 0.44ht;
608         lft x1 = 0.00wd; bot y1 = -0.28ht;
609         x2 = 0.11wd;     y2 = -0.14ht;
610         x3 = 0.12wd;     y3 = +0.03ht;
611         x4 = 0.25wd;     y4 = -0.09ht;
612         x5 = 0.26wd;     y5 = +0.08ht;
613         x6 = 0.40wd;     y6 = -0.04ht;
614         rt x7 = 0.42wd;  top y7 = +0.36ht;
615         draw z1 .. z2 -- z3 .. z4 -- z5 .. z6 -- z7;
616 fet_endchar;
617
618 % solesmes punctum inclinatum parvum
619 inclinatum_char("Solesmes punctum inclinatum parvum", "solesmes_incl_parvum",
620                 "solinclparvumhead",
621                 true, false, false);
622
623 % solesmes punctum auctum ascendens
624 punctum_char("Solesmes punctum auctum ascendens", "solesmes_auct_asc",
625              "solauctaschead",
626              false, false, false, false, false,
627              true, true, false, false, false, 1.0);
628
629 % solesmes punctum auctum descendens
630 punctum_char("Solesmes punctum auctum descendens", "solesmes_auct_desc",
631              "solauctdeschead",
632              false, false, false, false, false,
633              true, false, false, false, false, 1.0);
634
635 % solesmes punctum inclinatum auctum
636 inclinatum_char("Solesmes punctum incl. auctum", "solesmes_incl_auctum",
637                 "solpunctuminclinatumauctumhead",
638                 false, false, true);
639
640 % solesmes stropha
641 inclinatum_char("Solesmes stropha", "solesmes_stropha",
642                 "solstrophahead",
643                 false, true, false);
644
645 % solesmes stropha aucta
646 inclinatum_char("Solesmes stropha aucta", "solesmes_stropha_aucta",
647                 "solstrophaauctahead",
648                 false, true, true);
649
650 % solesmes oriscus
651 fet_beginchar("Solesmes oriscus", "solesmes_oriscus",
652         "soloriscushead")
653         save b_h, a_w;
654         a_b := 1.54; % b_h*a_b/a_w = wd/ht
655         b_h := 0.85;
656         a_w := 1.09;
657
658         save a, beta, ht, wd;
659         ht# = noteheight#;
660         2beta# = ht# * b_h;
661         a# = beta# * a_b;
662         wd# = 2a# / a_w;
663         black_notehead_width# := wd#;
664
665         save convexity;
666         convexity# = +0.05ht#;
667
668         define_pixels(ht, wd, convexity);
669         pickup pencircle xscaled blot_diameter yscaled 0.50ht;
670         lft x1 = 0.00wd; y1 = -convexity;
671         x2 = 0.16wd;     y2 = +convexity;
672         x3 = 0.33wd;     y3 = -convexity;
673         rt x4 = 0.50wd;  y4 = +convexity;
674         draw z1 .. z2 .. z3 .. z4;
675         set_char_box(0.00wd#, 0.50wd#,
676                      0.25ht# + convexity#, 0.25ht# + convexity#);
677 fet_endchar;
678
679 %%%%%%%%
680 %
681 %
682 %
683 % EDITIO MEDICAEA
684 %
685 %
686 %
687
688 % inclinatum
689 fet_beginchar("Ed. Med. inclinatum", "medicaea_inclinatum",
690         "medinclinatumhead")
691         draw_diamond_head (1.2staff_space#, 0, 0, 35, false);
692 fet_endchar;
693
694 % parametrized punctum
695 def punctum_char (expr verbose_name, internal_name, ly_name,
696         left_up_stem, left_down_stem) =
697
698         fet_beginchar(verbose_name, internal_name, ly_name)
699
700                 save a, beta, ht, wd;
701                 ht# = 2 staff_space#;
702                 wd# = ht#;
703                 black_notehead_width# := wd#;
704
705                 define_pixels(ht, wd);
706                 pickup pencircle
707                         xscaled blot_diameter
708                         yscaled 0.50ht;
709                 z1 = (0.00wd + blot_diameter/2, 0);
710                 z2 = (0.4wd - blot_diameter/2, 0);
711                 draw z1 .. z2;
712
713                 pickup pencircle
714                         xscaled stafflinethickness
715                         yscaled blot_diameter;
716
717                 if left_down_stem:
718                         z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
719                         z5=(0.00wd + stafflinethickness/2, - 1.25ht);
720                         draw z4 .. z5;
721                         set_char_box(0.0, 0.4wd#, 1.25ht#, 0.25ht#);
722                 elseif left_up_stem:
723                         z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
724                         z5=(0.00wd + stafflinethickness/2, + 1.25ht);
725                         draw z4 .. z5;
726                         set_char_box(0.0, 0.4wd#, 0.25ht#, 1.25ht#);
727                 else:
728                         set_char_box(0.0, 0.4wd#, 0.25ht#, 0.25ht#);
729                 fi;
730
731         fet_endchar;
732 enddef;
733
734 % punctum
735 punctum_char("Ed. Med. punctum", "medicaea_punctum", "medpunctumhead",
736         false, false);
737
738 % left up-stemmed punctum
739 punctum_char("Ed. Med. reverse virga", "medicaea_rvirga", "medrvirgahead",
740         true, false);
741
742 % virga (i.e. left down-stemmed punctum)
743 punctum_char("Ed. Med. virga", "medicaea_virga", "medvirgahead",
744         false, true);
745
746 %%%%%%%%
747 %
748 %
749 %
750 % HUFNAGEL
751 %
752 %
753 %
754
755 % punctum
756 % parametrized punctum
757 def punctum_char (expr verbose_name, internal_name, ly_name,
758         down_stem) =
759         fet_beginchar(verbose_name, internal_name, ly_name)
760                 save alpha;
761                 alpha# = 55;
762                 draw_diamond_head (staff_space#, 0, 0, alpha#, false);
763                 if down_stem:
764                         pickup pencircle
765                                 xscaled blot_diameter
766                                 yscaled (0.7*staff_space)
767                                 rotated -alpha#;
768                         save za, zb; pair za, zb;
769                         za = (head_width/2, 0);
770                         bot zb = (head_width/2, -1.5staff_space);
771                         draw za -- zb;
772                         set_char_box (0, head_width#,
773                                       1.5staff_space#, head_height#/2);
774                 fi;
775         fet_endchar;
776 enddef;
777
778 % punctum
779 punctum_char("Hufnagel punctum", "hufnagel_punctum", "hufpunctumhead", false)
780
781 % virga
782 punctum_char("Hufnagel virga", "hufnagel_virga", "hufvirgahead", true)
783
784 % pes lower punctum
785 fet_beginchar("Hufnagel pes lower punctum", "hufnagel_lpes", "huflpeshead")
786         save width, height, alpha;
787         width# = 2*staff_space#;
788         height# = 0.7*staff_space#;
789         alpha# = 35;
790
791         set_char_box(0, width#, height#/2, height#/2);
792
793         pickup pencircle scaled stafflinethickness;
794         define_pixels(width, height);
795
796         rt x3 = -lft x1 = width/2;
797         y2 = y3 = height/2;
798         y1 = y4 = -height/2;
799         tand(alpha#) * (y2 - y1) = x2 - x1 = x3 - x4;
800
801         filldraw z1 -- z2 -- z3 -- z4 -- cycle;
802
803         currentpicture := currentpicture shifted (width/2, 0);
804 fet_endchar;
805
806 fet_endgroup ("noteheads")