1 % Feta (not the Font-En-Tja) music font -- ancient clefs
2 % This file is part of LilyPond, the GNU music typesetter.
4 % Copyright (C) 2001--2012 Juergen Reuter <reuter@ipd.uka.de>
7 % LilyPond is free software: you can redistribute it and/or modify
8 % it under the terms of the GNU General Public License as published by
9 % the Free Software Foundation, either version 3 of the License, or
10 % (at your option) any later version.
12 % LilyPond is distributed in the hope that it will be useful,
13 % but WITHOUT ANY WARRANTY; without even the implied warranty of
14 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 % GNU General Public License for more details.
17 % You should have received a copy of the GNU General Public License
18 % along with LilyPond. If not, see <http://www.gnu.org/licenses/>.
20 fet_begingroup ("clefs");
25 % Each clef is associated with a particular pitch: the treble clef
26 % with the `g', the alto clef with the `c', the bass clef with the
27 % `f', etc. The shape of each clef character defines a vertical
28 % position that is assumed to represent this pitch. For the treble
29 % clef, it is the vertical position of the center of the spiral
30 % ending that represents the `g' pitch. For the bass clef, it is
31 % the center between the two fat dots that define the vertical
32 % position of the `f' pitch. For the alto clef, it is the vertical
33 % center of the clef that is aligned with the `c' pitch. For each
34 % clef character, this center should be vertically aligned with the
35 % point (0, 0). The horizontal alignment of each clef character
36 % should be such that the vertical line through the point (0, 0)
37 % touches the left-most edge of the clef.
39 % TODO: document exact_center
41 % set_char_box() conventions:
43 % * breapth: Ignored (as far as I know). Should be set to 0.
45 % * width: Should match the clef's width.
47 % * depth: Should match the bottom edge of the clef. Affects vertical
50 % * height: Should match the top edge of the clef. Affects vertical
63 def draw_vaticana_do_clef (expr exact_center, reduction) =
66 reduced_il# = staff_space# * reduction;
68 set_char_box (0 - xpart exact_center,
69 0.5 reduced_il# + xpart exact_center,
70 0.8 reduced_il# - ypart exact_center,
71 0.8 reduced_il# + ypart exact_center);
73 define_pixels (reduced_il);
75 save pat, ellipse, clef, T;
76 path pat, ellipse, clef;
79 T := identity xscaled 0.6 linethickness
80 yscaled 0.6 reduced_il;
81 pickup pencircle transformed T;
82 ellipse := reverse fullcircle transformed T;
86 xoffs# = xpart exact_center;
87 yoffs# = ypart exact_center;
89 define_pixels (xoffs, yoffs);
91 rt z11 = (xoffs + 0.50 reduced_il, yoffs - .45 reduced_il);
92 z12 = (xoffs + 0.25 reduced_il, yoffs - .50 reduced_il);
93 lft z13 = (xoffs + 0.00 reduced_il, yoffs - .28 reduced_il);
94 lft z14 = (xoffs, yoffs);
104 % adjust vertically to fit into bounding box
105 shift = find_tangent_shift (((0, -d + 0.3 reduced_il)
106 -- (w, -d + 0.3 reduced_il)), pat,
107 (0, -d / 2), (0, d / 2));
108 pat := pat shifted shift;
111 .. top (point 1 of pat)
112 .. get_subpath (ellipse,
113 -direction 0 of pat, direction 0 of pat,
115 .. bot (point 1 of pat)
116 .. get_subpath (ellipse,
117 direction 2 of pat, up,
121 -- reverse clef yscaled -1
124 labels (11, 12, 13, 14);
128 fet_beginchar ("Ed. Vat. do clef", "vaticana.do");
130 draw_staff (-1, 3, 0.0);
132 draw_vaticana_do_clef ((0, 0), 1.0);
136 fet_beginchar ("Ed. Vat. do clef", "vaticana.do_change");
137 draw_vaticana_do_clef ((0, 0), 1.0); % no reduction
141 def draw_vaticana_fa_clef (expr exact_center, reduction) =
142 save reduced_il, xoffs, yoffs;
144 reduced_il# = staff_space# * reduction;
145 xoffs# = xpart exact_center;
146 yoffs# = ypart exact_center;
148 define_pixels (reduced_il, xoffs, yoffs);
150 % left-handed punctum
151 save ellipse, pat, T;
155 T := identity xscaled 0.6 linethickness
156 yscaled 0.5 reduced_il;
157 pickup pencircle transformed T;
158 ellipse := reverse fullcircle transformed T;
160 lft z21 = (xoffs + 0.00 reduced_il, yoffs + 0.00 reduced_il);
161 z22 = (xoffs + 0.25 reduced_il, yoffs + 0.05 reduced_il);
162 rt z23 = (xoffs + 0.50 reduced_il, yoffs - 0.05 reduced_il);
168 fill get_subpath (ellipse,
169 -direction 0 of pat, direction 0 of pat, z21)
171 .. get_subpath (ellipse,
172 direction 2 of pat, -direction 2 of pat, z23)
177 pickup pencircle scaled 0.6 linethickness;
180 yoffs = bot y24 + 1.5 reduced_il;
182 draw_rounded_block (bot lft z24, top rt z23, 0.6 linethickness);
184 labels (21, 22, 23, 24);
186 % right-handed puncta as in do clef
187 draw_vaticana_do_clef (exact_center + (0.55 reduced_il#, 0),
190 set_char_box (0 - xpart exact_center,
191 1.05 reduced_il# + xpart exact_center,
192 1.5 reduced_il# - ypart exact_center,
193 0.8 reduced_il# + ypart exact_center);
197 fet_beginchar ("Ed. Vat. fa clef", "vaticana.fa");
199 draw_staff (-1, 3, 0.0);
201 draw_vaticana_fa_clef ((0, 0), 1.0);
205 fet_beginchar ("Ed. Vat. fa clef", "vaticana.fa_change");
206 draw_vaticana_fa_clef ((0, 0), 1.0); % no reduction
218 def draw_medicaea_do_clef (expr exact_center, reduction) =
219 save reduced_il, reduced_slt;
221 reduced_il# = staff_space# * reduction;
222 reduced_slt# = linethickness# * reduction;
224 define_pixels (reduced_il);
225 define_pixels (reduced_slt);
227 set_char_box (0 - xpart exact_center,
228 1.0 reduced_il# + xpart exact_center,
229 1.5 reduced_il# - ypart exact_center,
230 1.5 reduced_il# + ypart exact_center);
234 flag_height# = 0.5 reduced_il#;
236 define_pixels (flag_height);
240 xoffs# = xpart exact_center;
241 yoffs# = ypart exact_center;
243 define_pixels (xoffs, yoffs);
250 T := identity xscaled reduced_slt
252 pickup pencircle transformed T;
253 ellipse := reverse fullcircle transformed T;
255 xoffs = lft x1 = rt x2 - reduced_il;
256 y1 = yoffs + 0.5 (reduced_il - flag_height - staff_space);
257 y2 = y1 - reduced_il + flag_height;
260 -- get_subpath (ellipse, z2 - z1, z1 - z2, z2)
264 xoffs = lft x3 = rt x4 - reduced_il;
265 y3 = yoffs + 0.5 (reduced_il - flag_height + staff_space);
266 y4 = y3 - reduced_il + flag_height;
269 -- get_subpath (ellipse, z4 - z3, z3 - z4, z4)
274 pickup pencircle scaled reduced_slt;
276 lft x5 = lft x6 = xoffs;
277 yoffs = top y6 - 1.5 reduced_il = bot y5 + 1.5 reduced_il;
279 draw_rounded_block (bot lft z5, top rt z6, reduced_slt);
281 labels (1, 2, 3, 4, 5, 6);
285 fet_beginchar ("Ed. Med. do clef", "medicaea.do");
287 draw_staff (-1, 3, 0.0);
289 draw_medicaea_do_clef ((0, 0), 1.0);
293 fet_beginchar ("Ed. Med. do clef", "medicaea.do_change");
294 draw_medicaea_do_clef ((0, 0), .8);
298 def draw_medicaea_fa_clef (expr exact_center, reduction) =
299 % inspired by Regensburger Edition of Medicaea (1885/86), in:
300 % MGG, volume 2, col. 1327 ("Choralreform"), fig. 2.
302 save reduced_il, reduced_slt;
304 reduced_il# = staff_space# * reduction;
305 reduced_slt# = linethickness# * reduction;
307 define_pixels (reduced_il);
308 define_pixels (reduced_slt);
312 xoffs# = xpart exact_center;
313 yoffs# = ypart exact_center;
315 define_pixels (xoffs, yoffs);
318 pickup pencircle scaled reduced_slt;
320 x11 = x12 = xoffs + 0.4 reduced_il;
321 y11 = yoffs = bot y12 + 1.5 reduced_il;
323 draw_rounded_block (bot lft z12, top rt z11, reduced_slt);
325 % left-handed punctum
330 T := identity xscaled reduced_slt
332 pickup pencircle transformed T;
333 ellipse := reverse fullcircle transformed T;
335 lft z13 = (xoffs, yoffs);
336 rt z14 = z11 + (reduced_slt / 2, 0);
338 fill get_subpath (ellipse, left, right, z13)
339 -- get_subpath (ellipse, right, left, z14)
342 labels (11, 12, 13, 14);
344 % right-handed puncta as in do clef
345 draw_medicaea_do_clef (exact_center + (0.7 reduced_il#, 0),
348 set_char_box (0 - xpart exact_center,
349 1.7 reduced_il# + xpart exact_center,
350 1.5 reduced_il# - ypart exact_center,
351 1.5 reduced_il# + ypart exact_center);
355 fet_beginchar ("Ed. Med. fa clef", "medicaea.fa");
357 draw_staff (-1, 3, 0.0);
359 draw_medicaea_fa_clef ((0, 0), 1.0);
363 fet_beginchar ("Ed. Med. fa clef", "medicaea.fa_change");
364 draw_medicaea_fa_clef ((0, 0), .8);
378 % width: interval from left end to right end
379 % height: interval from bottom of lower beam to top of upper beam
380 % exact_center: the coordinates of the vertical center point of the
383 def draw_brevis (expr exact_center, bwidth, bheight, blinethickness) =
384 save brevis_width, brevis_height, linethickness;
386 brevis_width# = bwidth;
387 brevis_height# = bheight;
388 linethickness# = blinethickness;
390 save beam_width, beam_height;
391 save serif_size, serif_protrude, hole_height;
393 beam_width# = 1.4 linethickness#;
394 hole_height# = 3 linethickness#;
395 2 beam_height# + hole_height# = brevis_height#;
396 serif_size# = (hole_height# - linethickness#) / 2;
397 serif_protrude# = 1.5 serif_size#;
401 xoffs# = xpart exact_center;
402 yoffs# = ypart exact_center;
404 define_pixels (xoffs, yoffs);
405 define_pixels (brevis_width, brevis_height, linethickness);
406 define_pixels (beam_width, beam_height, serif_size, serif_protrude);
408 z1l = (xoffs, yoffs - linethickness);
409 z2r = z1r + serif_size * (1, -1);
410 z3l = z2l + (-serif_size, -serif_protrude);
412 penpos1 (beam_width, 0);
413 penpos2 (beam_height, 90);
414 penpos3 (beam_width, 180);
416 save pat_in, pat_out;
417 path pat_in, pat_out;
423 -- reverse pat_out xscaled -1
424 shifted (2 xoffs + brevis_width, 0);
426 -- reverse pat_out yscaled -1
433 -- reverse pat_in xscaled -1
434 shifted (2 xoffs + brevis_width, 0);
436 -- reverse pat_in yscaled -1
448 % Draw two brevis notes; the second one shifted down by `shift'.
449 % The other parameters are the same as with `draw_brevis'.
451 def draw_double_brevis (expr exact_center, bwidth, bheight,
452 blinethickness, shift) =
453 save brevis_width, brevis_height, linethickness;
455 brevis_width# = bwidth;
456 brevis_height# = bheight;
457 linethickness# = blinethickness;
459 save beam_width, beam_height;
460 save serif_size, serif_protrude, hole_height;
462 beam_width# = 1.4 linethickness#;
463 hole_height# = 3 linethickness#;
464 2 beam_height# + hole_height# = brevis_height#;
465 serif_size# = (hole_height# - linethickness#) / 2;
466 serif_protrude# = 1.5 serif_size#;
470 xoffs# = xpart exact_center;
471 yoffs# = ypart exact_center;
473 define_pixels (xoffs, yoffs);
474 define_pixels (brevis_width, brevis_height, linethickness);
475 define_pixels (beam_width, beam_height, serif_size, serif_protrude);
477 z1l = (xoffs, yoffs - linethickness);
478 z2r = z1r + serif_size * (1, -1);
479 z3l = z2l + (-serif_size, -serif_protrude);
481 penpos1 (beam_width, 0);
482 penpos2 (beam_height, 90);
483 penpos3 (beam_width, 180);
485 z4 = z1 shifted (0, -shift);
486 z5 = z2 shifted (0, -shift);
487 z6 = z3 shifted (0, -shift);
489 penpos4 (beam_width, 0);
490 penpos5 (beam_height, 90);
491 penpos6 (beam_width, 180);
493 save pat_in, pat_out;
494 path pat_in, pat_out;
500 -- reverse pat_out xscaled -1
501 shifted (2 xoffs + brevis_width, 0);
503 -- reverse pat_out yscaled -1
504 shifted (0, shift - 2 yoffs)
512 -- reverse pat_in xscaled -1
513 shifted (2 xoffs + brevis_width, 0);
515 -- reverse pat_in yscaled -1
520 unfill pat_in shifted (0, -shift);
522 penlabels (1, 2, 3, 4, 5, 6);
526 def draw_neomensural_c_clef (expr exact_center, reduction) =
527 save reduced_il, reduced_slt, stem_width;
529 reduced_il# = staff_space# * reduction;
530 reduced_slt# = linethickness# * reduction;
531 stem_width# = 1.4 reduced_slt#;
533 define_pixels (reduced_il, reduced_slt, stem_width);
535 set_char_box (0 - xpart exact_center,
536 2 reduced_il# + 6 reduced_slt# + xpart exact_center,
537 2 reduced_il# - ypart exact_center,
538 2 reduced_il# + ypart exact_center);
540 draw_brevis (exact_center + (3 reduced_slt#, 0),
541 2 reduced_il#, reduced_il#, reduced_slt#);
545 xoffs# = xpart exact_center;
546 yoffs# = ypart exact_center;
548 define_pixels (xoffs, yoffs);
550 save ellipse, pat, T;
554 T := identity xscaled stem_width
555 yscaled blot_diameter;
556 pickup pencircle transformed T;
557 ellipse := fullcircle transformed T;
559 lft x11 = lft x12 = xoffs;
560 top y12 - bot y11 = 4 reduced_il;
561 top y12 + bot y11 = 2 yoffs;
568 pat := get_subpath (ellipse, down, up, z13)
573 fill get_subpath (ellipse, down, up, z11)
574 -- get_subpath (ellipse, up, down, z12)
576 fill get_subpath (ellipse, down, up, z14)
577 -- get_subpath (ellipse, up, down, z15)
584 shifted (0, 2 yoffs);
586 shifted (w, 2 yoffs);
588 labels (11, 12, 13, 14, 15);
592 fet_beginchar ("neo-mensural c clef", "neomensural.c");
594 draw_staff (-1, 3, 0.0);
596 draw_neomensural_c_clef ((0, 0), 1.0);
600 fet_beginchar ("neo-mensural c clef", "neomensural.c_change");
601 draw_neomensural_c_clef ((0, 0), .8);
605 def draw_petrucci_c_clef (expr exact_center, flare_align, reduction) =
606 % inspired by Josquin Desprez, "Stabat Mater", Libro tertio,
607 % 1519, printed by Petrucci, in: MGG, volume 7, Table 11.
608 % Also by Petrucci's Canti C, Venedig 1503. In: MGG, volume
611 save reduced_il, reduced_slt;
613 reduced_il# = staff_space# * reduction;
614 reduced_slt# = linethickness# * reduction;
616 define_pixels (reduced_il);
618 draw_double_brevis (exact_center + (0, 0.5 staff_space#),
619 reduced_il#, reduced_il#, reduced_slt#,
622 save half_reduced_il, left_depth, left_height;
624 half_reduced_il# = staff_space# * sqrt (reduction);
625 left_height# = half_reduced_il# * min (3.2, 3.2 + 0.2 + flare_align);
626 left_depth# = half_reduced_il# * min (3.2, 3.2 + 0.2 - flare_align);
628 define_pixels (half_reduced_il);
629 define_pixels (left_depth, left_height);
631 set_char_box (0 - xpart exact_center,
632 reduced_il# + xpart exact_center,
633 left_depth# - ypart exact_center,
634 left_height# + ypart exact_center);
638 xoffs# = xpart exact_center;
639 yoffs# = ypart exact_center;
641 define_pixels (xoffs, yoffs);
647 T := identity xscaled 1.4 linethickness
648 yscaled blot_diameter;
649 pickup pencircle transformed T;
650 ellipse := fullcircle transformed T;
652 lft x11 = lft x13 = xoffs;
653 top y11 = yoffs + left_height;
654 bot y13 = yoffs - left_depth;
655 rt x15 = rt x17 = xoffs + brevis_width;
656 y15 = min (y11 - 0.2 half_reduced_il, yoffs + 2.2 half_reduced_il);
657 y17 = max (y13 + 0.2 half_reduced_il, yoffs - 2.2 half_reduced_il);
659 z12 = z14 yscaled -1;
661 z16 = z18 yscaled -1;
662 rt z18 = lft z14 shifted (brevis_width, 0);
664 penpos12 (1.4 linethickness, 0);
665 penpos14 (1.4 linethickness, 0);
666 penpos16 (1.4 linethickness, 0);
667 penpos18 (1.4 linethickness, 0);
669 if top y11 > -y6 + 0.7 linethickness:
670 fill get_subpath (ellipse, up, down, z11)
675 if bot y13 < y6 - 0.7 linethickness:
676 fill get_subpath (ellipse, down, up, z13)
681 if top y15 > -y6 + 0.7 linethickness:
682 fill get_subpath (ellipse, up, down, z15)
687 if bot y17 < y6 - 0.7 linethickness:
688 fill get_subpath (ellipse, down, up, z17)
694 labels (11, 13, 15, 17);
695 penlabels (12, 14, 16, 18);
699 fet_beginchar ("petrucci c1 clef", "petrucci.c1");
701 draw_staff (-1, 3, 0.0);
703 draw_petrucci_c_clef ((0, 0), +2, 1.0);
707 fet_beginchar ("petrucci c1 clef", "petrucci.c1_change");
708 draw_petrucci_c_clef ((0, 0), +2, .8);
712 fet_beginchar ("petrucci c2 clef", "petrucci.c2");
714 draw_staff (-1, 3, 0.0);
716 draw_petrucci_c_clef ((0, 0), +1, 1.0);
720 fet_beginchar ("petrucci c2 clef", "petrucci.c2_change");
721 draw_petrucci_c_clef ((0, 0), +1, .8);
725 fet_beginchar ("petrucci c3 clef", "petrucci.c3");
727 draw_staff (-1, 3, 0.0);
729 draw_petrucci_c_clef ((0, 0), 0, 1.0);
733 fet_beginchar ("petrucci c3 clef", "petrucci.c3_change");
734 draw_petrucci_c_clef ((0, 0), 0, .8);
738 fet_beginchar ("petrucci c4 clef", "petrucci.c4");
740 draw_staff (-1, 3, 0.0);
742 draw_petrucci_c_clef ((0, 0), -1, 1.0);
746 fet_beginchar ("petrucci c4 clef", "petrucci.c4_change");
747 draw_petrucci_c_clef ((0, 0), -1, .8);
751 fet_beginchar ("petrucci c5 clef", "petrucci.c5");
753 draw_staff (-1, 3, 0.0);
755 draw_petrucci_c_clef ((0, 0), -2, 1.0);
759 fet_beginchar ("petrucci c5 clef", "petrucci.c5_change");
760 draw_petrucci_c_clef ((0, 0), -2, .8);
764 def draw_mensural_c_clef (expr exact_center, reduction, fill_char) =
765 save reduced_il, vert_thick, hor_thick, blot_rad;
767 reduced_il# = staff_space# * reduction;
768 vert_thick# = linethickness# * 1.4;
769 hor_thick# = staff_space# * reduction * 0.25;
771 blot_rad = blot_diameter / 2;
773 define_pixels (reduced_il, vert_thick, hor_thick);
775 pickup pencircle scaled blot_diameter;
777 penpos1 (vert_thick, 0);
778 penpos2 (vert_thick, 0);
779 penpos3 (hor_thick, 90);
780 penpos4 (hor_thick, 90);
781 penpos5 (hor_thick, 90);
782 penpos6 (hor_thick, 90);
783 penpos7 (vert_thick, 0);
784 penpos8 (hor_thick, 90);
788 top y2 = 2.2 reduced_il;
789 z3 = (vert_thick, 0.75 reduced_il);
790 z4 = z3 + (reduced_il - vert_thick, 0);
791 z5 = z4 + (vert_thick, -0.5 reduced_il);
792 z6 = z5 - (reduced_il, 0);
793 z7 = z4 + (0.5 vert_thick, 0.5 reduced_il);
794 z8 = z5 - (vert_thick, 0);
801 .. z2 + (0, blot_rad)
808 .. z7 + (0, blot_rad)
816 -- reverse pat yscaled -1
821 pat_mid = bot z3l{up}
832 pat_mid := pat_mid shifted (0, -reduced_il);
836 set_char_box (0, reduced_il# + vert_thick#,
837 2.2 reduced_il#, 2.2 reduced_il#);
839 penlabels (1, 2, 3, 4, 5, 6, 7, 8);
843 fet_beginchar ("mensural c clef", "mensural.c");
845 draw_staff (-1, 3, 0.0);
847 draw_mensural_c_clef ((0, 0), 1.0, true);
851 fet_beginchar ("mensural c clef", "mensural.c_change");
852 draw_mensural_c_clef ((0, 0), .8, true);
856 fet_beginchar ("black mensural c clef", "blackmensural.c");
858 draw_staff (-1, 3, 0.0);
860 draw_mensural_c_clef ((0, 0), 1.0, false);
864 fet_beginchar ("black mensural c clef", "blackmensural.c_change");
865 draw_mensural_c_clef ((0, 0), 0.8, false);
869 def draw_diamond (expr exact_center, reduction) =
870 save stem_width, reduced_nht, holeheight, beamheight;
871 save rh_height, rh_width;
873 stem_width# = 1.4 reduced_slt#;
874 reduced_nht# = noteheight# * reduction;
875 holeheight# = 3 reduced_slt#;
876 beamheight# = 0.4 (reduced_nht# - holeheight#);
878 rh_height# = 1.2 staff_space# * reduction;
879 rh_width# / rh_height# = tand (30);
881 define_pixels (beamheight, stem_width);
882 define_pixels (rh_height, rh_width);
886 xoffs# = xpart exact_center;
887 yoffs# = ypart exact_center;
889 define_pixels (xoffs, yoffs);
895 T := identity xscaled beamheight
898 pickup pencircle transformed T;
899 ellipse := reverse fullcircle transformed T;
901 x21 := xoffs - rh_width / 2;
904 y22 := yoffs + rh_height / 2;
905 x23 := xoffs + rh_width / 2;
908 y24 := yoffs - rh_height / 2;
910 fill get_subpath (ellipse, z21 - z24, z22 - z21, z21)
911 -- get_subpath (ellipse, z22 - z21, z23 - z22, z22)
912 -- get_subpath (ellipse, z23 - z22, z24 - z23, z23)
913 -- get_subpath (ellipse, z24 - z23, z21 - z24, z24)
919 l2122 := (directionpoint (z21 - z22) of ellipse) shifted z21
920 -- (directionpoint (z21 - z22) of ellipse) shifted z22;
921 l2223 := (directionpoint (z22 - z23) of ellipse) shifted z22
922 -- (directionpoint (z22 - z23) of ellipse) shifted z23;
923 l2324 := (directionpoint (z23 - z24) of ellipse) shifted z23
924 -- (directionpoint (z23 - z24) of ellipse) shifted z24;
925 l2421 := (directionpoint (z24 - z21) of ellipse) shifted z24
926 -- (directionpoint (z24 - z21) of ellipse) shifted z21;
928 unfill l2122 intersectionpoint l2223
929 -- l2223 intersectionpoint l2324
930 -- l2324 intersectionpoint l2421
931 -- l2421 intersectionpoint l2122
934 labels (21, 22, 23, 24);
938 def draw_petrucci_f_clef (expr exact_center, reduction) =
939 % inspired by L'homme arme super voces musicales in Misse
940 % Josquin, 1502, Petrucci, in: MGG, volume 7, col. 200; also
941 % inspired by Gaspar van Weerbeke, "Virgo Maria" (1502), in:
942 % MGG, volume 9, col. 653 ("Motette"), fig. 3.; also by Andr'e
943 % Campra, "Entr'ee des s'er'enades" (1710), in: MGG, volume 2,
944 % col. 1649 ("Contredanse"), fig. 2.
946 save interline, reduced_il, reduced_slt;
948 interline# = staff_space#;
949 reduced_il# = staff_space# * reduction;
950 reduced_slt# = linethickness# * reduction;
952 draw_brevis (exact_center, reduced_il#, reduced_il#, reduced_slt#);
953 draw_diamond (exact_center +
954 (1.6 interline# * reduction, interline# / 2),
956 draw_diamond (exact_center +
957 (1.6 interline# * reduction, -interline# / 2),
960 define_pixels (interline, reduced_il, reduced_slt);
964 stem_width# = 1.4 reduced_slt#;
966 define_pixels (stem_width);
970 xoffs# = xpart exact_center;
971 yoffs# = ypart exact_center;
973 define_pixels (xoffs, yoffs);
980 T := identity xscaled stem_width
981 yscaled blot_diameter;
982 pickup pencircle transformed T;
983 ellipse := fullcircle transformed T;
985 rt x8 = xoffs + reduced_il;
987 rt z9 = (xoffs + reduced_il, yoffs - 4 reduced_il);
989 penpos8 (stem_width, 0);
991 fill get_subpath (ellipse, down, up, z9)
996 % upper diamond's stem
997 z10 = (xoffs + 1.6 interline * reduction + stem_width / 2,
998 yoffs + interline * reduction);
999 top z11 = z10 + (0, 1.5 interline * reduction);
1001 penpos10 (stem_width, 0);
1003 fill get_subpath (ellipse, up, down, z11)
1008 % lower diamond's stem
1009 z12 = (xoffs + 1.6 interline * reduction - stem_width / 2,
1010 yoffs - interline * reduction);
1011 bot z13 = z12 + (0, -3.5 interline * reduction);
1013 penpos12 (stem_width, 0);
1015 fill get_subpath (ellipse, down, up, z13)
1020 save reduced_il, rh_height, rh_width;
1022 reduced_il# = staff_space# * reduction;
1023 rh_height# = 1.2 reduced_il#;
1024 rh_width# / rh_height# = tand (30);
1026 set_char_box (0 - xpart exact_center,
1027 1.6 interline# * reduction + 0.5 rh_width# +
1029 4.5 interline# * reduction - ypart exact_center,
1030 2.5 interline# * reduction + ypart exact_center);
1033 penlabels (8, 10, 12);
1037 fet_beginchar ("petrucci f clef", "petrucci.f");
1039 draw_staff (-1, 3, 0.0);
1041 draw_petrucci_f_clef ((0, 0), 1.0);
1045 fet_beginchar ("petrucci f clef", "petrucci.f_change");
1046 draw_petrucci_f_clef ((0, 0), .8);
1050 def draw_mensural_f_clef (expr exact_center, reduction) =
1051 % inspired by Philippe le Duc, "Dite Signori" (1590), in: MGG,
1052 % volume 3, col. 848 ("Duc"); also by John Dowland, "The First
1053 % Booke of Songes" (1597), in: MGG, volume 3, col. 721
1054 % ("Dowland"), fig. 3.
1056 save width, reduced_slt, stem_width, dot_diameter;
1058 width# = 1.2 staff_space# * reduction;
1059 reduced_slt# = linethickness# * reduction;
1060 stem_width# = 1.4 reduced_slt#;
1061 dot_diameter# = 0.1 reduction * staff_space#;
1063 define_pixels (width, stem_width, staff_space, dot_diameter);
1067 xoffs# = xpart exact_center;
1068 yoffs# = ypart exact_center;
1070 define_pixels (xoffs, yoffs);
1076 T := identity xscaled 0.2 width
1079 pickup pencircle transformed T;
1080 ellipse := fullcircle transformed T;
1088 pat := halfcircle scaled width
1090 shifted (z10 - (xoffs, yoffs));
1092 z5 = point 0 of pat;
1093 z6 = point 1 of pat;
1094 z7 = point 2 of pat;
1095 z8 = point 3 of pat;
1096 z9 = point 4 of pat;
1101 dirs5 := direction 0 of pat;
1102 dirs6 := direction 1 of pat;
1103 dirs7 := direction 2 of pat;
1104 dirs8 := direction 3 of pat;
1105 dirs9 := direction 4 of pat;
1107 % we approximate `draw pat'
1108 fill get_subpath (ellipse, -dirs5, dirs5, z5)
1109 .. get_subpoint (ellipse, dirs6, z6)
1110 .. get_subpoint (ellipse, dirs7, z7)
1111 .. get_subpoint (ellipse, dirs8, z8)
1112 .. get_subpath (ellipse, dirs9, -dirs9, z9)
1113 .. get_subpoint (ellipse, -dirs8, z8)
1114 .. get_subpoint (ellipse, -dirs7, z7)
1115 .. get_subpoint (ellipse, -dirs6, z6)
1119 rt x2 = xoffs + width;
1120 top y1 = yoffs + 0.5 width;
1121 z2 - z1 = (dot_diameter, -dot_diameter);
1123 fill get_subpath (ellipse, z1 - z2, z2 - z1, z1)
1124 -- get_subpath (ellipse, z2 - z1, z1 - z2, z2)
1129 top y1 - bot y4 = width;
1130 z4 - z3 = (dot_diameter, -dot_diameter);
1132 fill get_subpath (ellipse, z3 - z4, z4 - z3, z3)
1133 -- get_subpath (ellipse, z4 - z3, z3 - z4, z4)
1136 set_char_box (0 - xpart exact_center,
1137 width# + xpart exact_center,
1138 0.5 width# - ypart exact_center,
1139 0.5 width# + ypart exact_center);
1141 labels (1, 2, 3, 4, 5, 6, 7, 8, 9, 10);
1145 fet_beginchar ("mensural f clef", "mensural.f");
1147 draw_staff (-1, 3, 0.0);
1149 draw_mensural_f_clef ((0, 0), 1.0);
1153 fet_beginchar ("mensural f clef", "mensural.f_change");
1154 draw_mensural_f_clef ((0, 0), .8);
1158 def draw_petrucci_g_clef (expr exact_center, reduction) =
1159 % inspired by Josquin Desprez, "Stabat Mater", Libro tertio,
1160 % 1519, printed by Petrucci, in: MGG, volume 7, Table 11.
1162 save reduced_il, reduced_slt;
1164 reduced_il# = staff_space# * reduction;
1165 reduced_slt# = linethickness# * reduction;
1166 define_pixels (reduced_il, reduced_slt);
1168 set_char_box (0 - xpart exact_center,
1169 1.25 reduced_il# + xpart exact_center,
1170 0.65 reduced_il# - ypart exact_center,
1171 3.80 reduced_il# + ypart exact_center);
1175 xoffs# = xpart exact_center;
1176 yoffs# = ypart exact_center;
1178 define_pixels (xoffs, yoffs);
1180 save ellipse, paths, sub_path, outlines, sub_outlines, T;
1181 path ellipse, paths[], sub_path, outlines[], sub_outlines[];
1184 T := identity xscaled 0.5 reduced_slt
1185 yscaled 0.22 reduced_il
1187 pickup pencircle transformed T;
1188 ellipse := fullcircle transformed T;
1190 lft z1 = (xoffs + 0.80 reduced_il, yoffs + 0.00 reduced_il);
1191 lft z2 = (xoffs + 1.00 reduced_il, yoffs + 1.20 reduced_il);
1192 lft z3 = (xoffs + 0.70 reduced_il, yoffs + 2.00 reduced_il);
1193 lft z4 = (xoffs + 0.30 reduced_il, yoffs + 3.00 reduced_il);
1194 lft z5 = (xoffs + 0.80 reduced_il, yoffs + 3.70 reduced_il);
1195 lft z6 = (xoffs + 1.00 reduced_il, yoffs + 3.00 reduced_il);
1196 lft z7 = (xoffs + 0.60 reduced_il, yoffs + 2.00 reduced_il);
1197 lft z8 = (xoffs + 0.30 reduced_il, yoffs + 1.70 reduced_il);
1198 lft z9 = (xoffs + 0.00 reduced_il, yoffs + 0.75 reduced_il);
1199 lft z10 = (xoffs + 0.20 reduced_il, yoffs + 0.60 reduced_il);
1217 % we approximate `draw paths1'
1218 for i = 1 step s until (length paths1 + 1):
1219 dirs[i] := direction (i - 1) of paths1;
1222 outlines1 := get_subpath (ellipse, -dirs1, dirs1, z1)
1223 for i = (1 + s) step s until (length paths1 + 1 - s):
1224 .. get_subpoint (ellipse, dirs[i],
1225 point (i - 1) of paths1)
1227 .. get_subpath (ellipse, dirs10, -dirs10, z10)
1228 for i = (length paths1 + 1 - s) step -s until (1 + s):
1229 .. get_subpoint (ellipse, -dirs[i],
1230 point (i - 1) of paths1)
1236 len := length outlines1;
1238 sub_outlines1 := subpath (0,
1239 floor (1/4 len)) of outlines1;
1240 sub_outlines2 := subpath (floor (1/4 len),
1241 floor (2/4 len)) of outlines1;
1242 sub_outlines3 := subpath (floor (2/4 len),
1243 floor (3/4 len)) of outlines1;
1244 sub_outlines4 := subpath (floor (3/4 len),
1250 (times12, times21) = sub_outlines1 intersectiontimes sub_outlines2;
1251 (times13, times31) = sub_outlines1 intersectiontimes sub_outlines3;
1252 (times42, times24) = sub_outlines4 intersectiontimes sub_outlines2;
1253 (times43, times34) = sub_outlines4 intersectiontimes sub_outlines3;
1255 T := identity xscaled 0.75 reduced_slt
1256 yscaled 0.33 reduced_il
1258 pickup pencircle transformed T;
1259 ellipse := fullcircle transformed T;
1261 lft z21 = (xoffs + 1.05 reduced_il, yoffs + 0.45 reduced_il);
1262 lft z22 = (xoffs + 0.55 reduced_il, yoffs + 0.45 reduced_il);
1263 lft z23 = (xoffs + 0.55 reduced_il, yoffs - 0.45 reduced_il);
1264 lft z24 = (xoffs + 1.05 reduced_il, yoffs - 0.45 reduced_il);
1265 lft z25 = (xoffs + 1.10 reduced_il, yoffs + 0.00 reduced_il);
1266 lft z26 = (xoffs + 0.80 reduced_il, yoffs + 0.00 reduced_il);
1275 sub_path := subpath (0, 1) of paths2;
1277 times1 = xpart (sub_outlines1 intersectiontimes sub_path);
1278 times4 = xpart (sub_outlines4 intersectiontimes sub_path);
1280 % we have to find the envelope intersections (if any)
1284 t1 = find_envelope_cusp (reverse ellipse,
1285 subpath (1, 2) of paths2,
1291 t2 = find_envelope_cusp (ellipse,
1292 subpath (3, 4) of reverse paths2,
1294 t2 := length paths2 - t2;
1297 t3 = find_envelope_cusp (reverse ellipse,
1298 subpath (2, 4 - epsilon) of paths2,
1304 t4 = find_envelope_cusp (ellipse,
1305 subpath (1 + epsilon, 3)
1308 t4 := length paths2 - t4;
1311 fill subpath (times1 + s / 4, times13) of sub_outlines1
1312 -- subpath (times31, infinity) of sub_outlines3
1313 & subpath (0, times42) of sub_outlines4
1314 -- subpath (times24, infinity) of sub_outlines2
1315 & subpath (0, times34) of sub_outlines3
1316 -- subpath (times43, times4 - s / 4) of sub_outlines4
1318 unfill subpath (times12, infinity) of sub_outlines1
1319 & subpath (0, times21) of sub_outlines2
1321 fill subpath (times4 + s / 4, infinity) of sub_outlines4
1322 & subpath (0, times1 - s / 4) of sub_outlines1
1326 % we approximate `draw paths2'
1327 for i = 1 step s until (length paths2 - s):
1328 dirs[i + 20] := direction (i - 1) of paths2;
1331 sub_outlines21 := get_subpath (ellipse, -dirs21, dirs21, z21)
1332 for i = (1 + s) step s until (length paths2 - s):
1333 .. get_subpoint (ellipse, dirs[i + 20],
1334 point (i - 1) of paths2)
1336 .. get_subpath (ellipse, up, z26 - z25, z25);
1337 sub_outlines22 := get_subpath (ellipse, z26 - z25, z25 - z26, z26)
1338 -- get_subpoint (ellipse, z25 - z26, z25);
1339 sub_outlines23 := get_subpoint (ellipse, down, z25)
1340 for i = (length paths2 - s) step -s until (t4 + 1):
1341 .. get_subpoint (ellipse, -dirs[i + 20],
1342 point (i - 1) of paths2)
1344 .. get_subpoint (ellipse, -direction t4 of paths2,
1345 point t4 of paths2);
1346 sub_outlines24 := get_subpoint (ellipse, -direction t3 of paths2,
1348 for i = (floor (t3 / s) * s + 1) step -s until (t2 + 1):
1349 .. get_subpoint (ellipse, -dirs[i + 20],
1350 point (i - 1) of paths2)
1352 .. get_subpoint (ellipse, -direction t2 of paths2,
1353 point t2 of paths2);
1354 sub_outlines25 := get_subpoint (ellipse, -direction t1 of paths2,
1356 for i = (floor (t1 / s) * s + 1) step -s until (1 + s):
1357 .. get_subpoint (ellipse, -dirs[i + 20],
1358 point (i - 1) of paths2)
1361 (times2223, times2322) = sub_outlines22 intersectiontimes sub_outlines23;
1362 (times2324, times2423) = sub_outlines23 intersectiontimes sub_outlines24;
1363 (times2425, times2524) = sub_outlines24 intersectiontimes sub_outlines25;
1366 -- subpath (0, times2223) of sub_outlines22
1367 -- subpath (times2322, times2324) of sub_outlines23
1368 -- subpath (times2423, times2425) of sub_outlines24
1369 -- subpath (times2524, infinity) of sub_outlines25
1372 labels (1, 2, 3, 4, 5, 6, 7, 8, 9, 10);
1373 labels (21, 22, 23, 24, 25, 26);
1377 fet_beginchar ("petrucci g clef", "petrucci.g");
1379 draw_staff (-1, 3, 0.0);
1381 draw_petrucci_g_clef ((0, 0), 1.0);
1385 fet_beginchar ("petrucci g clef", "petrucci.g_change");
1386 draw_petrucci_g_clef ((0, 0), .8);
1390 def draw_mensural_g_clef (expr exact_center, reduction) =
1391 % TODO: Rewrite me. The former mensural g clef looked ugly, and the
1392 % code was removed when it broke for small font sizes after some
1393 % global changes in the font. Currently, the character is mapped to
1394 % a copy of the petrucci g clef (which, after all, *is* a mensural g
1395 % clef, but not the one that we have in mind here). -- jr
1397 % Possible sources of inspiration for this clef include: Francisco
1398 % Guerrero, "Lib. 1. Missarum" (1566), in: MGG, volume 3, col. 858
1399 % ("Ducis"); Stefano Fabri, "Quam speciosa veteranis" (1611), in:
1400 % MGG, volume 3, col. 1698 ("Fabri"); Philippus Dulichius,
1401 % "Fasciculus novus ..." (1598), in: MGG, volume 3, col. 919
1402 % ("Dulichius"), fig. 1; Noe Faignient, "Ic sal de Heer myn God
1403 % gebenedye" (1568), in: MGG, volume 3, col. 1735 ("Faignient").
1408 % FIXME: This clef is preliminarily mapped to the petrucci g clef
1409 % until the code for the mensural g clef will be rewritten.
1411 fet_beginchar ("mensural g clef", "mensural.g");
1413 draw_staff (-1, 3, 0.0);
1415 draw_petrucci_g_clef ((0, 0), 1.0);
1419 fet_beginchar ("mensural g clef", "mensural.g_change");
1420 draw_petrucci_g_clef ((0, 0), .8);
1433 def draw_hufnagel_do_clef (expr exact_center, reduction) =
1434 % inspired by Graduale of Friedrich Zollner (1442), in: MGG,
1435 % volume 9, col. 1413 ("Neustift"), fig. 1.
1439 reduced_il# = staff_space# * reduction;
1441 define_pixels (reduced_il);
1443 set_char_box (0 - xpart exact_center,
1444 1.10 reduced_il# + xpart exact_center,
1445 0.70 reduced_il# - ypart exact_center,
1446 0.75 reduced_il# + ypart exact_center);
1450 xoffs# = xpart exact_center;
1451 yoffs# = ypart exact_center;
1453 define_pixels (xoffs, yoffs);
1455 save ellipse, pat, T;
1459 T := identity xscaled 0.6 reduced_il
1460 yscaled 0.1 reduced_il
1462 pickup pencircle transformed T;
1463 ellipse := fullcircle transformed T;
1465 z1 = (xoffs + 0.90 reduced_il, yoffs + .45 reduced_il);
1466 z2 = (xoffs + 0.80 reduced_il, yoffs + .45 reduced_il);
1467 z3 = (xoffs + 0.50 reduced_il, yoffs + .60 reduced_il);
1468 z4 = (xoffs + 0.20 reduced_il, yoffs + .45 reduced_il);
1469 z5 = (xoffs + 0.20 reduced_il, yoffs - .45 reduced_il);
1470 z6 = (xoffs + 0.40 reduced_il, yoffs - .55 reduced_il);
1479 fill get_subpath (ellipse,
1480 -direction 0 of pat, direction 0 of pat, z1)
1481 .. get_subpoint (ellipse, direction 1 of pat, z2)
1482 .. get_subpath (ellipse,
1483 direction (2 - epsilon) of pat, z4 - z3, z3)
1484 -- get_subpath (ellipse,
1485 z4 - z3, z5 - z4, z4)
1486 -- get_subpath (ellipse,
1487 z5 - z4, z6 - z5, z5)
1488 -- get_subpath (ellipse,
1489 z6 - z5, z5 - z6, z6)
1490 -- get_subpoint (ellipse, z5 - z6, z5)
1491 -- get_subpoint (ellipse, z4 - z5, z5)
1492 -- get_subpoint (ellipse, z4 - z5, z4)
1493 -- get_subpoint (ellipse, -direction (2 - epsilon) of pat, z3)
1494 .. get_subpath (ellipse,
1495 -direction 1 of pat, -direction 1 of pat, z2)
1498 labels (1, 2, 3, 4, 5, 6);
1502 fet_beginchar ("Hufnagel do clef", "hufnagel.do");
1504 draw_staff (-1, 3, 0.0);
1506 draw_hufnagel_do_clef ((0, 0), 1.0);
1510 fet_beginchar ("Hufnagel do clef", "hufnagel.do_change");
1511 draw_hufnagel_do_clef ((0, 0), .8);
1515 def draw_hufnagel_fa_clef (expr exact_center, reduction) =
1516 % inspired by Bamberger Manuscript (15th century), in:
1517 % MGG, volume 2, table 59.
1521 reduced_il# = staff_space# * reduction;
1523 define_pixels (reduced_il);
1525 set_char_box (0 - xpart exact_center,
1526 1.20 reduced_il# + xpart exact_center,
1527 1.15 reduced_il# - ypart exact_center,
1528 1.00 reduced_il# + ypart exact_center);
1532 xoffs# = xpart exact_center;
1533 yoffs# = ypart exact_center;
1535 define_pixels (xoffs, yoffs);
1537 save ellipse, pat, T;
1541 T := identity xscaled 0.6 reduced_il
1542 yscaled 0.1 reduced_il
1544 pickup pencircle transformed T;
1545 ellipse := fullcircle transformed T;
1547 z11 = (xoffs + 0.90 reduced_il, yoffs + 0.70 reduced_il);
1548 z12 = (xoffs + 0.80 reduced_il, yoffs + 0.70 reduced_il);
1549 z13 = (xoffs + 0.50 reduced_il, yoffs + 0.85 reduced_il);
1550 z14 = (xoffs + 0.20 reduced_il, yoffs + 0.70 reduced_il);
1551 z15 = (xoffs + 0.20 reduced_il, yoffs - 1.10 reduced_il);
1559 fill get_subpath (ellipse,
1560 -direction 0 of pat, direction 0 of pat, z11)
1561 .. get_subpoint (ellipse, direction 1 of pat, z12)
1562 .. get_subpath (ellipse,
1563 direction (2 - epsilon) of pat, z14 - z13, z13)
1564 -- get_subpath (ellipse,
1565 z14 - z13, z15 - z14, z14)
1566 -- get_subpath (ellipse,
1567 z15 - z14, z14 - z15, z15)
1568 -- get_subpoint (ellipse, z14 - z15, z14)
1569 -- get_subpoint (ellipse, -direction (2 - epsilon) of pat, z13)
1570 .. get_subpath (ellipse,
1571 -direction 1 of pat, -direction 1 of pat, z12)
1574 z16 = (xoffs + 0.90 reduced_il, yoffs - 0.05 reduced_il);
1575 z17 = (xoffs + 0.80 reduced_il, yoffs - 0.05 reduced_il);
1576 z18 = (xoffs + 0.50 reduced_il, yoffs + 0.10 reduced_il);
1577 z19 = (xoffs + 0.20 reduced_il, yoffs - 0.05 reduced_il);
1584 fill get_subpath (ellipse,
1585 -direction 0 of pat, direction 0 of pat, z16)
1586 .. get_subpoint (ellipse, direction 1 of pat, z17)
1587 .. get_subpath (ellipse,
1588 direction (2 - epsilon) of pat, z19 - z18, z18)
1589 -- get_subpoint (ellipse, z19 - z18, z19)
1590 -- get_subpoint (ellipse, -direction (2 - epsilon) of pat, z18)
1591 .. get_subpoint (ellipse, -direction 1 of pat, z17)
1594 labels (11, 12, 13, 14, 15, 16, 17, 18, 19);
1598 fet_beginchar ("Hufnagel fa clef", "hufnagel.fa");
1600 draw_staff (-1, 3, 0.0);
1602 draw_hufnagel_fa_clef ((0, 0), 1.0);
1606 fet_beginchar ("Hufnagel fa clef", "hufnagel.fa_change");
1607 draw_hufnagel_fa_clef ((0, 0), .8);
1611 def draw_hufnagel_do_fa_clef (expr exact_center, reduction) =
1612 draw_hufnagel_do_clef (exact_center, reduction);
1613 draw_hufnagel_fa_clef (exact_center + (0, -2 staff_space#), reduction);
1615 set_char_box (0 - xpart exact_center,
1616 1.20 reduced_il# + xpart exact_center,
1617 1.15 reduced_il# + 2 staff_space# - ypart exact_center,
1618 0.75 reduced_il# + ypart exact_center);
1622 fet_beginchar ("Hufnagel do/fa clef", "hufnagel.do.fa");
1624 draw_staff (-1, 3, 0.0);
1626 draw_hufnagel_do_fa_clef ((0, 0), 1.0);
1630 fet_beginchar ("Hufnagel do/fa clef", "hufnagel.do.fa_change");
1631 draw_hufnagel_do_fa_clef ((0, 0), .8);
1637 %% Medieval East-Slavic (Kievan) Notation clefs
1638 %% Code by Aleksandr Andreev <aleksandr.andreev@gmail.com>
1642 def draw_kievan_do_clef =
1643 z1 = (1.108 staff_space, 0.554 staff_space);
1644 z2 = (1.063 staff_space, -0.122 staff_space);
1645 z3 = (1.467 staff_space, -1.621 staff_space);
1646 z4 = (1.002 staff_space, -2.253 staff_space);
1651 z6 = (0.917 staff_space, -0.383 staff_space);
1652 z7 = (0.012 staff_space, -0.448 staff_space);
1653 z8 = (0, -0.167 staff_space);
1654 z9 = (0.057 staff_space, 0.464 staff_space);
1655 z10 = (0.994 staff_space, 0.387 staff_space);
1656 z11 = (1.023 staff_space, 0.554 staff_space);
1675 set_char_box (0, 1.5 staff_space#,
1676 2.25 staff_space#, 0.55 staff_space#);
1680 fet_beginchar ("Kievan tsefaut clef", "kievan.do");
1681 % This draws the Tse-Fa-Ut clef; it is a variant alto clef that
1682 % always occurs on the third line of the staff.
1683 draw_kievan_do_clef;
1687 fet_beginchar ("Kievan tsefaut clef", "kievan.do_change");
1688 % This is the same thing as a do clef?
1689 draw_kievan_do_clef;
1692 fet_endgroup ("clefs");