--- /dev/null
+% -*-Fundamental-*-
+% feta-bolletjes.mf -- implement noteheads
+%
+% source file of LilyPond's pretty-but-neat music font
+%
+% (c) 1997--2002 Jan Nieuwenhuizen <janneke@gnu.org>
+% & Han-Wen Nienhuys <hanwen@cs.uu.nl>
+% & Juergen Reuter <reuter@ipd.uka.de>
+%
+
+
+% most beautiful noteheads are pronounced, not circular,
+% and not even symmetric.
+% These examples are inspired by [Wanske], see literature list
+
+
+save black_notehead_width;
+numeric black_notehead_width;
+
+fet_begingroup("noteheads");
+
+noteheight#:=staff_space#+ (1 + overdone_heads) *stafflinethickness#;
+define_pixels(noteheight);
+
+
+%%%%%%%%
+%
+%
+%
+% MENSURAL NOTATION
+%
+%
+%
+brevis_wid# := 2 staff_space#;
+
+def draw_brevis(expr brevwid) =
+ save beamheight, head_width;
+ save holeheight, stem_width;
+ save serif_size, serif_protrude;
+
+ head_width# = brevwid;
+ holeheight = 3 stafflinethickness;
+ stem_width = 1.4 stafflinethickness;
+
+
+ define_pixels(head_width);
+ set_char_box(0, head_width#, noteheight#/2, noteheight#/2);
+
+ 2 beamheight + holeheight = noteheight;
+ serif_size = (holeheight - stafflinethickness)/2;
+ serif_protrude = 1.5 serif_size;
+ penpos1(stem_width, 0);
+ penpos2(stem_width, 0);
+ penpos3(beamheight, 90);
+ penpos4(beamheight, 90);
+ penpos5(stem_width, 180);
+
+ z1l = (0, 0);
+ z2l = (0, -stafflinethickness/2);
+ z3r = z2r + serif_size *(1,-1);
+ y4r = y3r;
+ x4r = head_width/2;
+ z5l = z3l + (-serif_size, -serif_protrude);
+
+ penlabels(1,2,3,4, 5);
+ fill z1r -- z1l -- z5r{down} .. z5l{up} .. z3l{right}
+ -- z4l -- z4r -- z3r{left} .. z2r{up} -- cycle;
+
+ addto currentpicture also currentpicture yscaled -1;
+ show z4r; show z4l;
+ addto currentpicture also currentpicture
+ shifted (-x4r,0) xscaled -1 shifted (x4l,0);
+
+enddef;
+
+
+%
+% Some sources (eg Musix/OpusTeX think that the appendage should be on
+% the left, some say right. Right wins democratically.
+%
+def draw_longa (expr wid) =
+ draw_brevis(wid);
+ save theta;
+
+ x7r = head_width;
+ y7 = y5;
+% z7 = z5;
+ z6 - z7 = (stem_width/2, -staff_space);
+ theta = angle(z6-z7)+ 90;
+ penpos7(stem_width, theta);
+ penpos6(1.2 stem_width, theta);
+
+ fill z7r .. z6r{z6-z7} .. {z7-z6} z6l -- z7l -- cycle;
+ penlabels(6,7);
+enddef;
+
+%
+% En wij presenteren U: de opvolgster van Emily
+%
+% (ze is wel breed)
+%
+fet_beginchar("Maxima notehead", "-3mensural", "mensuralmaximahead");
+ draw_longa (1.3 brevis_wid#)
+fet_endchar;
+
+fet_beginchar("Longa notehead", "-2mensural", "mensurallongahead");
+ draw_longa (brevis_wid#)
+fet_endchar;
+
+fet_beginchar("Brevis notehead", "-1mensural", "mensuralbrevishead")
+ draw_brevis(brevis_wid#);
+fet_endchar;
+
+def draw_neo_mensural_black_head (expr wid) =
+ save head_width;
+ head_width# = wid;
+ set_char_box (0, head_width#, noteheight#/2, noteheight#/2);
+
+
+ y3 = y1 =0;
+ x2 = x4 = (x1 + x3) /2;
+ define_pixels (head_width);
+ pickup pencircle scaled blot_diameter;
+ top y2 = h;
+ bot y4 = -d;
+ lft x1 = 0;
+ rt x3 = w;
+
+ filldraw z1 -- z2 -- z3 -- z4 -- cycle;
+enddef;
+
+def draw_neo_mensural_open_head (expr wid)=
+ draw_neo_mensural_black_head (wid);
+ save diamNW, diamSW;
+ diamNW = length (z2 - z1) + blot_diameter;
+ diamSW = length (z4 - z1) + blot_diameter;
+
+ save hole_widthNW, hole_widthSW;
+ hole_widthNW = 0.34 diamNW ;
+ hole_widthSW + 2.6 stafflinethickness = diamSW;
+
+ (z7 + z5)/2 = (w/2, 0);
+ (z8 + z6)/2 = (w/2, 0);
+ (z6 - z5) = hole_widthNW * unitvector (z2 - z1);
+ (z7 - z6) = hole_widthSW * unitvector (z4 - z1);
+
+ labels (1,2,3,4,5,6,7,8);
+
+ unfill z5 -- z6 -- z7 -- z8 --cycle;
+enddef;
+
+fet_beginchar("Neo-mensural open head","0neo_mensural","neomensuralminimhead")
+ draw_neo_mensural_open_head (staff_space#);
+fet_endchar;
+
+fet_beginchar("Neo-mensural open head","1neo_mensural","neomensuralsemiminimhead")
+ draw_neo_mensural_open_head (staff_space#);
+fet_endchar;
+
+fet_beginchar("Neo-mensural black head","2neo_mensural","neofusahead")
+ draw_neo_mensural_black_head (staff_space#);
+fet_endchar;
+
+
+def draw_mensural_head (expr wid, open) =
+ save head_width;
+ head_width# = wid;
+ set_char_box (head_width#/2, head_width#/2,
+ noteheight#/2, noteheight#/2);
+
+ define_pixels(head_width, noteheight);
+
+ x1 = -x3;
+ y1 = x2 = y3 = x4 = 0;
+ y4 = -y2;
+ y2 = 1.4 noteheight/2;
+ tand(30) = x3 / y2;
+
+ pickup pencircle
+ xscaled 0.15 head_width
+ yscaled 0.30 head_width
+ rotated -30;
+
+ % pencircle width correction
+ save zc, zd; pair zc, zd;
+ zc = (+0.150 head_width * sind(30), +0.150 head_width * cosd(30));
+ zd = (+0.075 head_width * sind(30), -0.075 head_width * cosd(30));
+
+ if open:
+ draw (z1+zc+zd) -- (z2-zc+zd) --
+ (z3-zc-zd) -- (z4+zc-zd) -- cycle;
+ else:
+ filldraw (z1+zc+zd) -- (z2-zc+zd) --
+ (z3-zc-zd) -- (z4+zc-zd) -- cycle;
+ fi;
+enddef;
+
+
+fet_beginchar("Mensural open head","0mensural","mensuralminimhead")
+ draw_mensural_head (staff_space#, true);
+fet_endchar;
+
+fet_beginchar("Mensural open head","1mensural","mensuralsemiminimhead")
+ draw_mensural_head (staff_space#, true);
+fet_endchar;
+
+fet_beginchar("Mensural black head","2mensural","fusahead")
+ draw_mensural_head (staff_space#, false);
+fet_endchar;
+
+
+%%%%%%%%%%%%
+%
+%
+% ledger (leger) lines
+%
+fet_beginchar("Ledger ending", "ledgerending", "ledgerending")
+set_char_box (5/2 ledgerlinethickness#, 5/2 ledgerlinethickness#,
+ ledgerlinethickness#/2,ledgerlinethickness#/2);
+ pickup pencircle scaled 1.3 blot_diameter;
+
+ rt x2 = w;
+ lft x1 = -b;
+ x3 = x2;
+ bot y1 = -d;
+ y2 = y1;
+
+ top y3 = h;
+ y4 = y3;
+ x4 = x1;
+
+ filldraw z1 --- z2 --- z3 --- z4 --- cycle ;
+fet_endchar;
+
+
+%%%%%%%%
+%
+%
+%
+% EDITIO VATICANA (including solesmes extensions)
+%
+%
+%
+
+% parameterized punctum
+def punctum_char (expr verbose_name, internal_name, mudela_name,
+ left_stem, right_stem, linea, cavum,
+ straight, auctum, direction_up, excentric, up_shift, mag) =
+
+ fet_beginchar(verbose_name, internal_name, mudela_name)
+ save b_h, a_w;
+ a_b := 1.54; % b_h*a_b/a_w = wd/ht
+ b_h := 0.85;
+ a_w := 1.09;
+
+ save a, beta, ht, wd;
+ ht# = noteheight# * mag;
+ 2beta# = ht# * b_h;
+ a# = beta# * a_b;
+ wd# = 2a# / a_w;
+ set_char_box(0.50wd#, 0.10wd#, 0.5ht#, 0);
+ black_notehead_width# := wd#;
+
+ % direction
+ save direction, direction_sign;
+ pair direction;
+ if direction_up:
+ direction = up;
+ direction_sign# = 1;
+ else:
+ direction = down;
+ direction_sign# = -1;
+ fi;
+
+ % convexity and excentricity
+ save u_convexity, u_excentricity;
+ if straight:
+ u_convexity# = -0.01ht#;
+ u_excentricity# = 0.0ht#; % dummy
+ elseif auctum:
+ u_convexity# = -0.03ht#;
+ u_excentricity# = +0.25ht#;
+ else:
+ u_convexity# = -0.05ht#;
+ u_excentricity# = 0.0ht#; % dummy
+ fi;
+ save convexity, excentricity;
+ convexity# = direction_sign# * u_convexity#;
+ excentricity# = direction_sign# * u_excentricity#;
+
+ % y shift offset
+ save yoffs;
+ if up_shift:
+ yoffs# = 0.08ht#;
+ else:
+ yoffs# = 0.00ht#;
+ fi
+
+ define_pixels(convexity, excentricity, yoffs, ht, wd);
+ pickup pencircle scaled stafflinethickness;
+
+ path p;
+ save height, yoffs_bt;
+ define_pixels (height, yoffs_bt);
+ height# = max (0.5ht# - stafflinethickness#, 0);
+ yoffs_bt# = yoffs# - (height# - stafflinethickness#)/2 -
+ convexity#;
+ xpart z1a = xpart z1b;
+ xpart z2a = xpart z2b;
+ xpart z3a = xpart z3b;
+ ypart z1a + height = ypart z1b;
+ ypart z2a + height = ypart z2b;
+ ypart z3a + height = ypart z3b;
+
+ if auctum:
+ z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
+ z2a = (0.20wd, yoffs_bt + 1.0*convexity);
+ z3a = (0.40wd - stafflinethickness/2,
+ yoffs_bt + 1.0*excentricity);
+ p = z1a .. {right}z2a .. {direction}z3a --
+ z3b{-direction} .. z2b{left} .. z1b -- cycle;
+ elseif excentric:
+ z1a = (0.00wd + stafflinethickness/2,
+ yoffs_bt - 1.0*convexity);
+ z2a = (0.08wd, yoffs_bt + 1.4*convexity);
+ z3a = (0.40wd - stafflinethickness/2, yoffs_bt);
+ p = z1a{direction} .. z2a{right} .. z3a --
+ z3b .. {left}z2b .. {-direction}z1b -- cycle;
+ else:
+ z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
+ z2a = (0.20wd, yoffs_bt + 1.0*convexity);
+ z3a = (0.40wd - stafflinethickness/2, yoffs_bt);
+ p = z1a .. z2a .. z3a --
+ z3b .. z2b .. z1b -- cycle;
+ fi;
+
+ if cavum:
+ draw p;
+ else:
+ filldraw p;
+ fi;
+
+
+ pickup pencircle scaled stafflinethickness;
+
+ if left_stem:
+ z5=(0.00wd + stafflinethickness/2, yoffs);
+ z6=(0.00wd + stafflinethickness/2, yoffs - 1.5ht);
+ draw z5 -- z6;
+ fi;
+
+ if right_stem:
+ z5=(0.40wd - stafflinethickness/2, yoffs);
+ z6=(0.40wd - stafflinethickness/2, yoffs - 1.5ht);
+ draw z5 -- z6;
+ fi;
+
+ if linea:
+ save linea_width, linea_height;
+ linea_width# = stafflinethickness#;
+ linea_height# = 0.85 ht#;
+ define_pixels (linea_width, linea_height);
+ draw_block ((-0.10wd - linea_width/2,
+ yoffs - linea_height/2),
+ (-0.10wd + linea_width/2,
+ yoffs + linea_height/2));
+ draw_block ((+0.50wd - linea_width/2,
+ yoffs - linea_height/2),
+ (+0.50wd + linea_width/2,
+ yoffs + linea_height/2));
+ fi;
+ fet_endchar;
+enddef;
+
+% parameterized punctum inclinatum
+def inclinatum_char(expr verbose_name, internal_name, mudela_name,
+ small, stropha, auctum) =
+
+ fet_beginchar(verbose_name, internal_name, mudela_name)
+
+ save b_h, a_w;
+ a_b := 1.54; % b_h*a_b/a_w = wd/ht
+ b_h := 0.85;
+ a_w := 1.09;
+
+ save a, beta, ht, wd;
+ ht# = noteheight#;
+ 2beta# = ht# * b_h;
+ a# = beta# * a_b;
+ wd# = 2a# / a_w;
+ set_char_box(0.3wd#, 0.3wd#, 0.5 ht#, 0.5 ht#);
+ black_notehead_width# := wd#;
+
+ save za, alpha, size;
+ pair za;
+ alpha = 35;
+ define_pixels(ht, wd);
+
+ if small:
+ size# = 0.23ht#;
+ else:
+ size# = 0.45ht#;
+ fi;
+
+ define_pixels(size);
+
+ pickup pencircle
+ xscaled blot_diameter
+ yscaled size rotated -alpha;
+ za = (0, size - blot_diameter/2) / 2 rotated alpha;
+ draw -za .. za;
+
+ if stropha:
+ pickup pencircle
+ xscaled (size/3)
+ yscaled size rotated alpha;
+ save za, off_angle; pair za;
+ off_angle := 15;
+ za = (0, -size) / 2 rotated -(alpha + off_angle);
+ undraw za;
+ fi;
+
+ if auctum:
+ pickup pencircle scaled stafflinethickness;
+ save za, zb;
+ pair za, zb;
+ za = ((0, -size) rotated -alpha) +
+ (0, stafflinethickness/2);
+ xpart zb = 0;
+ ypart zb = ypart za;
+ draw za{(0,-1) rotated alpha} ..
+ {(0,1) rotated -alpha}zb;
+ fi;
+ fet_endchar;
+enddef;
+
+% punctum
+punctum_char("Ed. Vat. punctum", "0vaticana_punctum", "vatpunctumhead",
+ false, false, false, false, false,
+ false, false, false, false, 1.0);
+
+% punctum cavum (for OpusTeX compatibility)
+%punctum_char("Ed. Vat. punctum cavum", "0vaticana_punctum_cavum",
+% "vatpunctumcavumhead",
+% false, false, false, true, false,
+% false, false, false, false, 1.0);
+
+% linea punctum (for OpusTeX compatibility)
+%punctum_char("Ed. Vat. linea punctum", "0vaticana_linea_punctum",
+% "vatlineapunctumhead",
+% false, false, true, false, false,
+% false, false, false, false, 1.0);
+
+% linea punctum cavum (for OpusTeX compatibility)
+%punctum_char("Ed. Vat. linea punctum cavum", "0vaticana_linea_punctum_cavum",
+% "vatlineapunctumcavumhead",
+% false, false, true, true, false,
+% false, false, false, false, 1.0);
+
+% punctum inclinatum
+inclinatum_char("Ed. Vat. inclinatum", "0vaticana_inclinatum",
+ "vatinclinatumhead",
+ false, false, false);
+
+% virga (i.e. right stemmed punctum)
+punctum_char("Ed. Vat. virga", "0vaticana_virga", "vatvirgahead",
+ false, true, false, false, false,
+ false, false, false, false, 1.0);
+
+% left stemmed punctum as used in clivis (flexa) ligature
+punctum_char("Ed. Vat. reverse virga", "0vaticana_rvirga", "vatrvirgahead",
+ true, false, false, false, false,
+ false, false, false, false, 1.0);
+
+% pes lower punctum
+punctum_char("Ed. Vat. pes lower punctum", "0vaticana_lpes", "vatlpeshead",
+ false, false, false, false, true,
+ false, true, false, false, 1.0);
+
+% pes upper punctum
+punctum_char("Ed. Vat. pes upper punctum", "0vaticana_upes", "vatupeshead",
+ false, false, false, false, true,
+ false, false, false, false, 1.0);
+
+% pes upper punctum (shifted variation)
+%
+% Note: This note head is used instead of the regular pes upper
+% punctum to avoid collision with the lower punctum note of the pes when
+% the upper punctum sits directly on top of the lower punctum.
+%
+punctum_char("Ed. Vat. var pes upper punctum", "0vaticana_vupes",
+ "vatvupeshead",
+ false, false, false, false, true,
+ false, false, false, true, 1.0);
+
+% small punctum as used in epiphonus/cephalicus
+punctum_char("Ed. Vat. plica", "0vaticana_plica", "vatplicahead",
+ false, false, false, false, true,
+ false, false, false, false, 0.5);
+
+% excentric punctum as used in epiphonus
+punctum_char("Ed. Vat. epiphonus", "0vaticana_epiphonus", "vatepiphonushead",
+ false, false, false, false, false,
+ false, true, true, false, 1.0);
+
+% excentric punctum as used in cephalicus
+punctum_char("Ed. Vat. cephalicus", "0vaticana_cephalicus",
+ "vatcephalicushead",
+ false, false, false, false, false,
+ false, false, true, false, 1.0);
+
+% quilisma
+fet_beginchar("Ed. Vat. quilisma", "0vaticana_quilisma", "vatquilismahead")
+ save b_h,a_w;
+ a_b:=1.54; % b_h*a_b/a_w = wd/ht
+ b_h:=0.85;
+ a_w:=1.09;
+
+ save a, beta, ht, wd;
+ ht# = noteheight#;
+ 2beta# = ht#*b_h;
+ a# = beta#*a_b;
+ wd# = 2a# / a_w;
+ set_char_box(0.4wd#, 0.00wd#, 0.5 ht#, 0.5 ht#);
+ black_notehead_width# := wd#;
+
+ define_pixels(ht, wd);
+ pickup pencircle xscaled stafflinethickness yscaled 0.4ht;
+ z1 = (0.00wd, -0.11ht);
+ z2 = (0.00wd, +0.06ht);
+ z3 = (0.10wd, -0.05ht);
+ z4 = (0.16wd, +0.11ht);
+ z5 = (0.24wd, -0.01ht);
+ z6 = (0.30wd, +0.15ht);
+ z7 = (0.40wd, +0.04ht);
+ z8 = (0.40wd, +0.21ht);
+ draw z1 -- z2 -- z3 -- z4 -- z5 -- z6 -- z7 -- z8;
+fet_endchar;
+
+% solesmes punctum inclinatum parvum
+%inclinatum_char("Solesmes punctum inclinatum parvum", "0solesmes_incl_parvum",
+% "solinclparvumhead",
+% true, false, false);
+
+% solesmes punctum auctum ascendens
+%punctum_char("Solesmes punctum auctum ascendens", "0solesmes_auct_asc",
+% "solauctaschead",
+% false, false, false, false, false,
+% true, true, false, false, 1.0);
+
+% solesmes punctum auctum descendens
+%punctum_char("Solesmes punctum auctum descendens", "0solesmes_auct_desc",
+% "solauctdeschead",
+% false, false, false, false, false,
+% true, false, false, false, 1.0);
+
+% solesmes punctum inclinatum auctum
+%inclinatum_char("Solesmes punctum incl. auctum", "0solesmes_incl_auctum",
+% "solpunctuminclinatumauctumhead",
+% false, false, true);
+
+% solesmes stropha
+%inclinatum_char("Solesmes stropha", "0solesmes_stropha",
+% "solstrophahead",
+% false, true, false);
+
+% solesmes stropha aucta
+%inclinatum_char("Solesmes stropha aucta", "0solesmes_stropha_aucta",
+% "solstrophaauctahead",
+% false, true, true);
+
+% solesmes oriscus
+fet_beginchar("Solesmes oriscus", "0solesmes_oriscus",
+ "soloriscushead")
+ save b_h, a_w;
+ a_b := 1.54; % b_h*a_b/a_w = wd/ht
+ b_h := 0.85;
+ a_w := 1.09;
+
+ save a, beta, ht, wd;
+ ht# = noteheight# * mag;
+ 2beta# = ht# * b_h;
+ a# = beta# * a_b;
+ wd# = 2a# / a_w;
+ set_char_box(0.5wd#, 0.0wd#, 0.5ht#, 0.5ht#);
+ black_notehead_width# := wd#;
+
+ save convexity;
+ convexity# = +0.05ht#;
+
+ define_pixels(ht, wd, convexity);
+ pickup pencircle xscaled blot_diameter yscaled 0.50ht;
+ z1 = (0.00wd, -convexity);
+ z2 = (0.16wd, +convexity);
+ z3 = (0.33wd, -convexity);
+ z4 = (0.50wd, +convexity);
+ draw z1 .. z2 .. z3 .. z4;
+fet_endchar;
+
+%%%%%%%%
+%
+%
+%
+% EDITIO MEDICAEA
+%
+%
+%
+
+% inclinatum
+fet_beginchar("Ed. Med. inclinatum", "0medicaea_inclinatum",
+ "medinclinatumhead")
+ save b_h, a_w;
+ a_b := 1.54; % b_h*a_b/a_w = wd/ht
+ b_h := 0.85;
+ a_w := 1.09;
+
+ save a, beta, ht, wd;
+ ht# = noteheight#;
+ 2beta# = ht# * b_h;
+ a# = beta# * a_b;
+ wd# = 2a# / a_w;
+ set_char_box(wd#/2, wd#/2, 0.5 ht#, 0.5 ht#);
+ black_notehead_width# := wd#;
+
+ save za, alpha, size;
+ pair za;
+ define_pixels(ht, wd);
+ alpha = 35;
+ size = 0.7ht;
+ pickup pencircle
+ xscaled blot_diameter
+ yscaled size rotated -alpha;
+ za = (0, size) / 2 rotated alpha;
+ draw -za .. za;
+
+fet_endchar;
+
+% parametrized punctum
+def punctum_char (expr verbose_name, internal_name, mudela_name,
+ left_up_stem, left_down_stem) =
+
+ fet_beginchar(verbose_name, internal_name, mudela_name)
+
+ save a, beta, ht, wd;
+ ht# = 2 staff_space#;
+ wd# = ht#;
+ set_char_box(0.0, 0.4wd#, 0.5ht#, 0.5ht#);
+ black_notehead_width# := wd#;
+
+ define_pixels(ht, wd);
+ pickup pencircle
+ xscaled blot_diameter
+ yscaled 0.50ht;
+ z1 = (0.00wd + blot_diameter/2, 0);
+ z2 = (0.40wd - blot_diameter/2, 0);
+ draw z1 .. z2;
+
+ pickup pencircle
+ xscaled stafflinethickness
+ yscaled blot_diameter;
+
+ if left_down_stem:
+ z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
+ z5=(0.00wd + stafflinethickness/2, - 1.25ht);
+ draw z4 .. z5;
+ elseif left_up_stem:
+ z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
+ z5=(0.00wd + stafflinethickness/2, + 1.25ht);
+ draw z4 .. z5;
+ fi;
+
+ fet_endchar;
+enddef;
+
+% punctum
+punctum_char("Ed. Med. punctum", "0medicaea_punctum", "medpunctumhead",
+ false, false);
+
+% left up-stemmed punctum
+punctum_char("Ed. Med. reverse virga", "0medicaea_rvirga", "medrvirgahead",
+ true, false);
+
+% virga (i.e. left down-stemmed punctum)
+punctum_char("Ed. Med. virga", "0medicaea_virga", "medvirgahead",
+ false, true);
+
+%%%%%%%%
+%
+%
+%
+% HUFNAGEL
+%
+%
+%
+
+% punctum
+% parametrized punctum
+def punctum_char (expr verbose_name, internal_name, mudela_name,
+ down_stem) =
+
+ fet_beginchar(verbose_name, internal_name, mudela_name)
+ save b_h, a_w;
+ a_b := 1.54; % b_h*a_b/a_w = wd/ht
+ b_h := 0.85;
+ a_w := 1.09;
+
+ save a, beta, ht, wd;
+ ht# = noteheight#;
+ 2beta# = ht# * b_h;
+ a# = beta# * a_b;
+ wd# = 2a# / a_w;
+ set_char_box(wd#/2, wd#/2, 0.5 ht#, 0.5 ht#);
+ black_notehead_width# := wd#;
+
+ save za, zb, zc, alpha, size;
+ pair za, zb, zc;
+ define_pixels(ht, wd);
+ alpha = 55;
+ size = 0.7ht;
+ pickup pencircle
+ xscaled blot_diameter
+ yscaled size rotated -alpha;
+ za = (0, size) / 2 rotated alpha;
+ draw -za .. za;
+
+ if down_stem:
+ zb = (0.00wd, 0);
+ zc = (0.00wd, - 1.25ht);
+ draw zb -- zc;
+ fi;
+ fet_endchar;
+enddef;
+
+% punctum
+punctum_char("Hufnagel punctum", "0hufnagel_punctum", "hufpunctumhead", false)
+
+% virga
+punctum_char("Hufnagel virga", "0hufnagel_virga", "hufvirgahead", true)
+
+% pes lower punctum
+fet_beginchar("Hufnagel pes lower punctum", "0hufnagel_lpes", "huflpeshead")
+ save b_h, a_w;
+ a_b := 1.54; % b_h*a_b/a_w = wd/ht
+ b_h := 0.85;
+ a_w := 1.09;
+
+ save a, beta, ht, wd;
+ ht# = noteheight#;
+ 2beta# = ht# * b_h;
+ a# = beta# * a_b;
+ wd# = 2a# / a_w;
+ set_char_box(wd#, wd#, 0.7 ht#, 0.7 ht#);
+ black_notehead_width# := wd#;
+
+ save za, alpha, size;
+ pair za;
+ define_pixels(ht, wd);
+ alpha = 35;
+ size = 0.7ht;
+ pickup pencircle
+ xscaled blot_diameter
+ yscaled size rotated -alpha;
+ za = (size, 0);
+ draw -za .. za;
+fet_endchar;
+
+fet_endgroup("noteheads");
+define_pixels(black_notehead_width);