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-% bolletjes.mf
-% part of LilyPond's pretty-but-neat music font
+%  -*-Fundamental-*-
+% feta-bolletjes.mf --  implement noteheads
+%
+% source file of LilyPond's pretty-but-neat music font
+%
+% (c) 1997--2008 Jan Nieuwenhuizen <janneke@gnu.org>
+% & Han-Wen Nienhuys <hanwen@xs4all.nl>
+% & Juergen Reuter <reuter@ipd.uka.de>
+%
+
+test_outlines := 0;
 
-% most beautiful noteheads are pronounced, not circular, 
+
+save remember_pic;
+picture remember_pic;
+
+
+% Most beautiful noteheads are pronounced, not circular,
 % and not even symmetric.
-% These examples are inspired by [Wanske], see literature list
+% These examples are inspired by [Wanske]; see literature list.
+
 
 
-save black_notehead_width;
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% NOTE HEAD VARIABLES
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+save black_notehead_width, noteheight;
+save half_notehead_width, whole_notehead_width, slash_thick;
+save slash_slope, overdone_heads, solfa_noteheight;
+
+numeric noteheight;
+numeric slash_thick;
 numeric black_notehead_width;
+numeric whole_notehead_width;
+numeric half_notehead_width;
+
+
+fet_begingroup ("noteheads");
+
+
+% Slope of slash.  From scm/grob-description.scm.  How to auto-copy?
+slash_slope := 1.7;
+
+% Thickness of slash lines.  Quarter notes get 1.5slt width.
+slash_thick# := 2/3 * 0.48 staff_space#;
+
+
+%
+% Hand-engraved music often has balls extending above and below
+% the lines.  If you like that, modify overdone heads (unit:
+% stafflinethickness).
+%
+overdone_heads = 0.0;
+noteheight# := staff_space# + (1 + overdone_heads) * stafflinethickness#;
+
+
+%
+% solfa heads should not overlap on chords.
+%
+solfa_noteheight# := staff_space# - stafflinethickness#;
+
+define_pixels (slash_thick);
+define_whole_vertical_pixels (noteheight);
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% SLANT moves both extrema on the long axis (by SLANT * ELLIPTICITY,
+% so SLANT = -1, puts the extreme on the long axis next to the short
+% axis one).
+%
+
+def draw_outside_ellipse (expr ellipticity, tilt, superness, slant) =
+       save attachment_y;
+       save pat;
+       path pat;
+
+       pat := superellipse ((ellipticity, 0), (-slant * ellipticity, 1.0),
+                            (-ellipticity, 0), (slant * ellipticity, -1.0),
+                            superness);
+       pat := pat rotated tilt;
+
+       save top_point, right_point;
+       pair top_point, right_point;
+
+       top_point := directionpoint left of pat;
+       right_point := directionpoint up of pat;
+
+       save scaling, width;
+
+       scaling# = noteheight# / (2 ypart (top_point));
+       width# := 2 xpart (right_point) * scaling#;
+       define_pixels (scaling, width);
+
+       set_char_box (0, width#, noteheight# / 2, noteheight# / 2);
+
+       d := d - feta_space_shift;
+
+       % attachment Y
+       charwy := ypart (right_point) * scaling#;
+       charwx := width#;
+
+       pat := pat scaled scaling shifted (w / 2, .5 (h - d));
+
+       width := hround width;
+
+       if test_outlines = 1:
+               draw pat;
+       else:
+               fill pat;
+       fi;
+enddef;
+
+
+def undraw_inside_ellipse (expr ellipticity, tilt, superness, clearance) =
+begingroup
+       save pat;
+       path pat;
+
+       pat := superellipse ((ellipticity, 0), (0, 1.0),
+                            (-ellipticity, 0), (0, -1.0),
+                            superness);
+       pat := pat rotated tilt;
+
+       save top_point, right_point;
+       pair top_point, right_point;
+
+       top_point := directionpoint left of pat;
+       right_point := directionpoint up of pat;
+
+       save height, scaling;
+
+       height# = staff_space# + stafflinethickness# - clearance;
+       scaling# = height# / (2 ypart (top_point));
+       define_pixels (scaling);
+       pat := pat scaled scaling shifted (w / 2, .5 (h - d));
+
+       if test_outlines = 1:
+               draw pat;
+       else:
+               unfill pat;
+       fi
+endgroup;
+enddef;
+
+
+%
+% dimensions aren't entirely right.
+%
+def draw_longa (expr up) =
+       save stemthick, fudge;
+
+       stemthick# = 2 stafflinethickness#;
+       define_whole_blacker_pixels (stemthick);
+
+       fudge = hround (blot_diameter / 2);
+
+       draw_outside_ellipse (1.80, 0, 0.707, 0);
+       undraw_inside_ellipse (1.30, 125, 0.68, 2 stafflinethickness#);
+
+       pickup pencircle scaled stemthick;
+
+       if up:
+               bot y1 = -d;
+               top y2 = h;
+               rt x1 - fudge = 0;
+               x1 = x2;
+
+               fudge + lft x3 = w;
+               x4 = x3;
+               top y4 = h + 3.0 staff_space;
+               y3 = y1;
+       else:
+               bot y1 = -d - 3.0 staff_space;
+               top y2 = h;
+               rt x1 - fudge = 0;
+               x1 = x2;
+
+               fudge + lft x3 = w;
+               x4 = x3;
+               y4 = y2;
+               bot y3 = -d;
+       fi;
+
+       draw_gridline (z1, z2, stemthick);
+       draw_gridline (z3, z4, stemthick);
+
+       labels (1, 2, 3, 4);
+enddef;
+
+
+fet_beginchar ("Longa notehead", "uM2");
+       draw_longa (true);
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+fet_beginchar ("Longa notehead", "dM2");
+       draw_longa (false);
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+if test > 0:
+       fet_beginchar ("Longa notehead", "uM2");
+               draw_longa (true);
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+
+       fet_beginchar ("Longa notehead", "dM2");
+               draw_longa (false);
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+fi;
+
+
+%
+% dimensions aren't entirely right.
+%
+def draw_brevis =
+       save stemthick, fudge;
+
+       stemthick# = 2 stafflinethickness#;
+       define_whole_blacker_pixels (stemthick);
+
+       fudge = hround (blot_diameter / 2);
+
+       draw_outside_ellipse (1.80, 0, 0.707, 0);
+       undraw_inside_ellipse (1.30, 125, 0.68, 2 stafflinethickness#);
+
+       pickup pencircle scaled stemthick;
+
+       bot y1 = -d;
+       top y2 = h;
+       rt x1 - fudge = 0;
+       x1 = x2;
+
+       fudge + lft x3 = w;
+       x4 = x3;
+       y4 = y2;
+       y3 = y1;
+
+       draw_gridline (z1, z2, stemthick);
+       draw_gridline (z3, z4, stemthick);
+enddef;
+
+
+fet_beginchar ("Brevis notehead", "sM1");
+       draw_brevis;
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+if test > 0:
+       fet_beginchar ("Brevis notehead", "sM1");
+               draw_brevis;
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+fi;
+
+
+fet_beginchar ("Whole notehead", "s0");
+       draw_outside_ellipse (1.80 - puff_up_factor / 3.0, 0, 0.707, 0);
+       undraw_inside_ellipse (1.30, 125 - puff_up_factor * 10,
+                              0.68, 2 stafflinethickness#);
+
+       whole_notehead_width# := charwd;
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+if test > 0:
+       fet_beginchar ("Whole notehead", "s0");
+               draw_outside_ellipse (1.80 - puff_up_factor / 3.0, 0,
+                                     0.707, 0);
+               undraw_inside_ellipse (1.30, 125 - puff_up_factor * 10,
+                                      0.68, 2 stafflinethickness#);
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+fi;
+
+
+fet_beginchar ("Half notehead", "s1");
+       draw_outside_ellipse (1.53 - puff_up_factor / 3.0, 34, 0.66, 0.17);
+       undraw_inside_ellipse (3.25, 33, 0.81, 2.5 stafflinethickness#);
+
+       half_notehead_width# := charwd;
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+if test > 0:
+       fet_beginchar ("Half notehead", "s1");
+               draw_outside_ellipse (1.53 - puff_up_factor / 3.0, 34,
+                                     0.66, 0.17);
+               undraw_inside_ellipse (3.25, 33, 0.81,
+                                      2.5 stafflinethickness#);
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+fi;
+
+
+fet_beginchar ("Quart notehead", "s2");
+       % used to have 32. With 31, they are slightly bolder.
+       draw_outside_ellipse (1.49 - puff_up_factor / 3.0, 31, 0.707, 0);
+       black_notehead_width# := charwd;
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+if test > 0:
+       fet_beginchar ("Quart notehead", "s2");
+               draw_outside_ellipse (1.49 - puff_up_factor / 3.0, 31,
+                                     0.707, 0);
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+fi;
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+fet_beginchar ("Whole diamondhead", "s0diamond");
+       draw_outside_ellipse (1.80, 0, 0.495, 0);
+       undraw_inside_ellipse (1.30, 125, 0.6,
+                              .4 staff_space# + stafflinethickness#);
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+if test > 0:
+       fet_beginchar ("Whole diamondhead", "s0diamond");
+               draw_outside_ellipse (1.80, 0, 0.495, 0);
+               undraw_inside_ellipse (1.30, 125, 0.6,
+                                      .4 staff_space# + stafflinethickness#);
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+fi;
+
+
+fet_beginchar ("Half diamondhead", "s1diamond");
+       draw_outside_ellipse (1.50, 34, 0.49, 0.17);
+       undraw_inside_ellipse (3.5, 33, 0.80,
+                              .3 staff_space# + 1.5 stafflinethickness#);
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+if test > 0:
+       fet_beginchar ("Half diamondhead", "s1diamond");
+               draw_outside_ellipse (1.50, 34, 0.49, 0.17);
+               undraw_inside_ellipse (3.5, 33, 0.80,
+                                      .3 staff_space#
+                                      + 1.5 stafflinethickness#);
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+fi;
+
+
+fet_beginchar ("Quart diamondhead", "s2diamond");
+       draw_outside_ellipse (1.80, 35, 0.495, -0.25);
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+if test > 0:
+       fet_beginchar ("Quart diamondhead", "s2diamond");
+               draw_outside_ellipse (1.80, 35, 0.495, -0.25);
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+fi;
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+vardef penposx@# (expr d) = 
+begingroup;
+       save pat;
+       path pat;
+
+       pat = top z@#
+             .. lft z@#
+             .. bot z@#
+             .. rt z@#
+             .. cycle;
+       z@#l = pat intersectionpoint (z@# -- infinity * dir (d + 180));
+       z@#r = pat intersectionpoint (z@# -- infinity * dir (d));
+endgroup
+enddef;
+
+
+%
+% UGH: xs not declared as argument.
+%
+def define_triangle_shape (expr stemdir) =
+       save triangle_a, triangle_b, triangle_c;
+       save triangle_out_a, triangle_out_b, triangle_out_c;
+       save triangle_in, triangle_out;
+       save width, depth, height;
+       save origin, left_up_dir;
+       save exact_left_point, exact_right_point, exact_down_point;
+
+       path triangle_a, triangle_b, triangle_c;
+       path triangle_out_a, triangle_out_b, triangle_out_c;
+       path triangle_in, triangle_out;
+       pair origin, left_up_dir;
+       pair exact_down_point, exact_left_point, exact_right_point;
+
+       save pen_thick;
+       pen_thick# = stafflinethickness# + .1 staff_space#;
+       define_pixels (llap);
+       define_blacker_pixels (pen_thick);
+
+       left_up_dir = llap# * dir (90 + tilt);
+
+       xpart (left_up_dir) * xs - (pen_thick# * xs) / 2 + xpart origin = 0;
+       ypart origin = 0;
+
+       exact_left_point := origin + (left_up_dir xscaled xs);
+       exact_down_point := origin + (left_up_dir rotated 120 xscaled xs);
+       exact_right_point := origin + (left_up_dir rotated 240 xscaled xs);
+
+       height# = ypart (exact_left_point + origin) + pen_thick# / 2;
+       depth# = -ypart (exact_down_point + origin) + pen_thick# / 2;
+       width# = xpart (exact_right_point - exact_left_point)
+                + pen_thick# * xs;
+
+       set_char_box (0, width#, depth#, height#);
+
+       % Formerly, the shape has simply been drawn with an elliptical pen
+       % (`scaled pen_thick xscaled xs'), but the envelope of such a curve
+       % is of 6th degree.  For the sake of mf2pt1, we approximate it.
+
+       pickup pencircle scaled pen_thick xscaled xs;
+
+       z0 = (hround_pixels (xpart origin), 0);
+
+       z1 = z1' = z0 + llap * dir (90 + tilt) xscaled xs;
+       z2 = z2' = z0 + llap * dir (90 + tilt + 120) xscaled xs;
+       z3 = z3' = z0 + llap * dir (90 + tilt + 240) xscaled xs;
+
+       z12 = caveness [.5[z1, z2], z3];
+       z23 = caveness [.5[z2, z3], z1];
+       z31 = caveness [.5[z3, z1], z2];
+
+       triangle_a = z1 .. z12 .. z2;
+       triangle_b = z2 .. z23 .. z3;
+       triangle_c = z3 .. z31 .. z1;
+
+       penposx1 (angle (direction 0 of triangle_a) - 90);
+       penposx2 (angle (direction 0 of triangle_b) - 90);
+       penposx3 (angle (direction 0 of triangle_c) - 90);
+
+       penposx1' (angle (direction infinity of triangle_c) + 90);
+       penposx2' (angle (direction infinity of triangle_a) + 90);
+       penposx3' (angle (direction infinity of triangle_b) + 90);
+
+       penposx12 (angle (z12 - z0));
+       penposx23 (angle (z23 - z0));
+       penposx31 (angle (z31 - z0));
+
+       z10 = (z0 -- z1) intersectionpoint (z1l .. z12l .. z2'r);
+       z20 = (z0 -- z2) intersectionpoint (z2l .. z23l .. z3'r);
+       z30 = (z0 -- z3) intersectionpoint (z3l .. z31l .. z1'r);
+
+       triangle_in = z10
+                     .. z12l
+                     .. z20
+                     & z20
+                     .. z23l
+                     .. z30
+                     & z30
+                     .. z31l
+                     .. z10
+                     & cycle;
+
+       triangle_out_a = z1r .. z12r .. z2'l;
+       triangle_out_b = z2r .. z23r .. z3'l;
+       triangle_out_c = z3r .. z31r .. z1'l;
+
+       triangle_out = top z1
+                      .. lft z1
+                      .. z1r{direction 0 of triangle_out_a}
+                      & triangle_out_a
+                      & {direction infinity of triangle_out_a}z2'l
+                      .. lft z2
+                      .. bot z2
+                      .. z2r{direction 0 of triangle_out_b}
+                      & triangle_out_b
+                      & {direction infinity of triangle_out_b}z3'l
+                      .. rt z3
+                      .. top z3
+                      .. z3r{direction 0 of triangle_out_c}
+                      & triangle_out_c
+                      & {direction infinity of triangle_out_c}z1'l
+                      .. cycle;
+
+       labels (0, 10, 20, 30);
+       penlabels (1, 1', 2, 2', 3, 3', 12, 23, 31);
+
+       % attachment Y
+       if stemdir = 1:
+               charwy := ypart exact_right_point;
+               charwx := xpart exact_right_point + .5 pen_thick# * xs;
+       else:
+               charwy := -ypart exact_down_point;
+               charwx := width# - (xpart exact_down_point - .5 pen_thick# * xs);
+       fi
+enddef;
+
+
+def draw_whole_triangle_head =
+       save hei, xs;
+       save llap;
+       save tilt;
+
+       tilt = 40;
+       llap# = 3/4 noteheight#;
+
+       xs = 1.5;
+       caveness := 0.1;
+       define_triangle_shape (1);
+       fill triangle_out;
+       unfill triangle_in;
+enddef;
+
+
+fet_beginchar ("Whole trianglehead", "s0triangle");
+       draw_whole_triangle_head;
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+if test > 0:
+       fet_beginchar ("Whole trianglehead", "s0triangle");
+               draw_whole_triangle_head;
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+fi;
+
+
+def draw_small_triangle_head (expr dir) =
+       save hei, xs;
+       save llap;
+       save tilt;
+
+       tilt = 40;
+       llap# = 2/3 noteheight#;
+       xs = 1.2;
+       caveness := 0.1;
+       define_triangle_shape (dir);
+
+       pickup feta_fillpen;
+
+       filldraw triangle_out;
+       unfilldraw triangle_in;
+enddef;
+
+
+fet_beginchar ("Half trianglehead (downstem)", "d1triangle");
+       draw_small_triangle_head (-1);
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+fet_beginchar ("Half trianglehead (upstem)", "u1triangle");
+       draw_small_triangle_head (1);
+
+       draw_staff (-2, 2, 0.5);
+fet_endchar;
+
+
+def draw_closed_triangle_head (expr dir) =
+       save hei, xs;
+       save llap;
+       save tilt;
+
+       tilt = 40;
+       llap# = 2/3 noteheight#;
+       xs = 1.0;
+       caveness := 0.1;
+       define_triangle_shape (dir);
+       fill triangle_out;
+enddef;
+
+
+fet_beginchar ("Quart trianglehead (upstem)", "u2triangle");
+       draw_closed_triangle_head (1);
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+fet_beginchar ("Quart trianglehead (downstem)", "d2triangle");
+       draw_closed_triangle_head (-1);
+
+       draw_staff (-2, 2, 0.5);
+fet_endchar;
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% Slash heads are for indicating improvisation.  They are
+% twice as high as normal heads.
+%
+def draw_slash (expr hwid_hash) =
+       save exact_height;
+       save ne, nw_dist;
+       pair ne, nw_dist;
+       exact_height = staff_space# + stafflinethickness# / 2;
+
+       set_char_box (0, 2 exact_height / slash_slope + hwid_hash,
+                     exact_height, exact_height);
+
+       charwx := charwd;
+       charwy := charht;
+
+       clearxy;
+
+       d := d - feta_shift;
+
+       pickup pencircle scaled blot_diameter;
+
+       bot y1 = -d;
+       top y2 = h;
+       lft x1 = 0;
+       lft x2 = 2 h / slash_slope;
+
+       rt x3 = w;
+       y3 = y2;
+       y4 = y1;
+       x3 - x2 = x4 - x1;
+
+       ne = unitvector (z3 - z4);
+       nw_dist = (ne rotated 90) * 0.5 blot_diameter;
+
+       fill bot z1{left}
+            .. (z1 + nw_dist){ne}
+            -- (z2 + nw_dist){ne}
+            .. top z2{right}
+            -- top z3{right}
+            .. (z3 - nw_dist){-ne}
+            -- (z4 - nw_dist){-ne}
+            .. bot z4{left}
+            -- cycle;
+
+       if hwid_hash > 2 slash_thick#:
+               save th;
+
+               th = slash_thick - blot_diameter;
+               y6 = y7;
+               y5 = y8;
+               y3 - y7 = th;
+               y5 - y1 = th;
+               z6 - z5 = whatever * ne;
+               z8 - z7 = whatever * ne;
+
+               z5 = z1 + whatever * ne + th * (ne rotated -90);
+               z8 = z4 + whatever * ne + th * (ne rotated 90);
+
+               unfill z5
+                      -- z6
+                      -- z7
+                      -- z8
+                      -- cycle;
+       fi
+       labels (range 1 thru 10);
+enddef;
+
+
+fet_beginchar ("Whole slashhead", "s0slash");
+       draw_slash (4 slash_thick# + 0.5 staff_space#);
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+fet_beginchar ("Half slashhead", "s1slash");
+       draw_slash (3.0 slash_thick# + 0.15 staff_space#);
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+fet_beginchar ("Quart slashhead", "s2slash");
+       draw_slash (1.5 slash_thick#);
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% `thick' is the distance between the NE/SW parallel lines in the cross
+% (distance between centres of lines) in multiples of stafflinethickness
+%
+def draw_cross (expr thick) =
+       save ne, nw;
+       save ne_dist, nw_dist, rt_dist, up_dist;
+       save crz_in, crz_out;
+       save thickness;
+       pair ne, nw;
+       pair ne_dist, nw_dist, rt_dist, up_dist;
+       path crz_in, crz_out;
+
+       pen_thick# := 1.2 stafflinethickness#;
+       thickness# := thick * stafflinethickness#;
+       define_pixels (thickness);
+       define_blacker_pixels (pen_thick);
+
+       pickup pencircle scaled pen_thick;
+
+       h := h - feta_shift;
+
+       top y3 = h;
+       ne = unitvector ((1, (2 h - pen_thick) / (w - pen_thick)));
+       rt x4 = w / 2;
+       y5 = 0;
+       z4 - z5 = whatever * ne;
+       x6 = 0;
+       z6 - z3 = whatever * ne;
+       z3 - z4 = whatever * (ne yscaled -1);
+
+       z4 - z3 = whatever * (ne) + (ne rotated -90) * thickness;
+
+
+       x1 = charwd / 2 - .5 pen_thick#;
+       z1 = whatever * ne
+            + thick / 2 * stafflinethickness# * (ne rotated -90);
+
+       % labels (1, 2, 3, 4, 5, 6);
+
+       nw = unitvector (z3 - z4);
+
+       up_dist = up * 0.5 pen_thick / cosd (angle (ne));
+       rt_dist = right * 0.5 pen_thick / sind (angle (ne));
+       nw_dist = (ne rotated 90) * 0.5 pen_thick;
+       ne_dist = (nw rotated -90) * 0.5 pen_thick;
+
+       x4' := x4;
+       x5' := x5;
+       y6' := y6;
+
+       x4 := hround (x4' + .5 pen_thick) - .5 pen_thick;
+       x5 := hfloor (x5' + xpart rt_dist) - xpart rt_dist;
+       y6 := vfloor (y6' + ypart up_dist) - ypart up_dist;
+
+       crz_out = (z6 + up_dist)
+                 -- (z3 + nw_dist){ne}
+                 .. (top z3)
+                 .. (z3 + ne_dist){-nw}
+                 -- (z4 + ne_dist){-nw}
+                 .. (rt z4)
+                 .. (z4 - nw_dist){-ne}
+                 -- (z5 + rt_dist);
+       crz_out := crz_out shifted (0, feta_shift)
+                  -- reverse crz_out yscaled -1 shifted (0, -feta_eps);
+       fill crz_out
+            -- reverse crz_out xscaled -1 shifted (-feta_eps, 0)
+            -- cycle;
+
+       if (thick > 1):
+               x4 := hround (x4' - xpart rt_dist) + xpart rt_dist;
+               x5 := hceiling (x5' - .5 pen_thick) + .5 pen_thick;
+               y6 := vfloor (y6' - .5 pen_thick) + .5 pen_thick;
+
+               crz_in = (bot z6){right}
+                        .. (z6 - nw_dist){ne}
+                        -- (z3 - up_dist)
+                        -- (z4 - rt_dist)
+                        -- (z5 + nw_dist){-ne}
+                        .. {down}(lft z5);
+               crz_in := crz_in shifted (0, feta_shift)
+                         -- reverse crz_in yscaled -1 shifted (0, -feta_eps);
+               unfill crz_in
+                      -- reverse crz_in xscaled -1 shifted (-feta_eps, 0)
+                      -- cycle;
+       fi
+
+       % ugh
+       currentpicture := currentpicture shifted (hround (w / 2), 0);
+
+       charwx := charwd;
+       charwy := y1 + feta_shift;
+
+       z12 = (charwx * hppp, y1 * vppp);
+
+       labels (12);
+enddef;
+
+
+fet_beginchar ("Whole Crossed notehead", "s0cross");
+       save wid, hei;
+
+       wid# := black_notehead_width# + 4 stafflinethickness#;
+       hei# := noteheight# + stafflinethickness#;
+
+       set_char_box (0, wid#, hei# / 2, hei# / 2);
+
+       draw_cross (3.75);
+
+       remember_pic := currentpicture;
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+if test > 0:
+       fet_beginchar ("Whole Crossed notehead", "s0cross");
+               save wid, hei;
+
+               wid# := black_notehead_width# + 4 stafflinethickness#;
+               hei# := noteheight# + stafflinethickness#;
+
+               set_char_box (0, wid#, hei# / 2, hei# / 2);
+
+               currentpicture := remember_pic;
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+fi;
+
+
+fet_beginchar ("Half Crossed notehead", "s1cross");
+       save wid, hei;
+
+       wid# := black_notehead_width# + 2 stafflinethickness#;
+       hei# := noteheight# + stafflinethickness# / 2;
+
+       set_char_box (0, wid#, hei# / 2, hei# / 2);
+
+       draw_cross (3.0);
+
+       remember_pic := currentpicture;
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+if test > 0:
+       fet_beginchar ("Half Crossed notehead", "s1cross");
+               save wid, hei;
+
+               wid# := black_notehead_width# + 2 stafflinethickness#;
+               hei# := noteheight# + stafflinethickness# / 2;
+
+               set_char_box (0, wid#, hei# / 2, hei# / 2);
+
+               currentpicture := remember_pic;
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+fi;
+
+
+fet_beginchar ("Crossed notehead", "s2cross");
+       wid# := black_notehead_width#;
+       hei# := noteheight#;
+       set_char_box (0, wid#, hei# / 2, hei# / 2);
+
+       draw_cross (1.0);
+
+       remember_pic := currentpicture;
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+if test > 0:
+       fet_beginchar ("Crossed notehead", "s2cross");
+               wid# := black_notehead_width#;
+               hei# := noteheight#;
+               set_char_box (0, wid#, hei# / 2, hei# / 2);
+
+               currentpicture := remember_pic;
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+fi;
+
+
+fet_beginchar ("X-Circled notehead", "s2xcircle");
+       save wid, hei;
+       save cthick, cxd, cyd, dy;
+
+       wid# := black_notehead_width# * sqrt (sqrt2);
+       hei# := noteheight# * sqrt (sqrt2);
+
+       set_char_box (0, wid#, hei# / 2, hei# / 2);
+
+       d := d - feta_space_shift;
+
+       cthick# := (1.2 + 1/4) * stafflinethickness#;
+       define_blacker_pixels (cthick);
+
+       cxd := w - cthick;
+       cyd := h + d - cthick / 2;
+
+       dy = .5 (h - d);
+
+       pickup pencircle scaled cthick;
+
+       fill fullcircle xscaled (cxd + cthick)
+                       yscaled (cyd + cthick)
+                       shifted (w / 2, dy);
+       unfill fullcircle xscaled (cxd - cthick)
+                         yscaled (cyd - cthick)
+                         shifted (w / 2, dy);
+
+       xpos := .5 cxd / sqrt2;
+       ypos := .5 cyd / sqrt2;
+
+       pickup penrazor scaled cthick rotated (angle (xpos, ypos) + 90);
+       draw (-xpos + w / 2, -ypos + dy) -- (xpos + w / 2, ypos + dy);
+
+       pickup penrazor scaled cthick rotated (angle (xpos, -ypos) + 90);
+       draw (-xpos + w / 2, ypos + dy) -- (xpos + w / 2, -ypos + dy);
+
+       charwx := charwd;
+       charwy := 0;
+
+       z12 = (charwx * hppp, charwy * vppp);
+       labels (12);
+
+       remember_pic := currentpicture;
+
+       draw_staff (-2, 2, 0);
+fet_endchar;
+
+
+if test > 0:
+       fet_beginchar ("X-Circled notehead", "s2xcircle");
+               save wid, hei;
+               save cthick, cxr, cyr;
+
+               wid# := black_notehead_width# * sqrt (sqrt2);
+               hei# := noteheight# * sqrt (sqrt2);
+
+               set_char_box (0, wid#, hei# / 2, hei# / 2);
+
+               currentpicture := remember_pic;
+
+               draw_staff (-2, 2, 0.5);
+       fet_endchar;
+fi;
+
+
+%%%%%%%%
+%
+% SOLFA SHAPED NOTES
+%
+
+save solfa_pen_thick;
+solfa_pen_thick# = 1.75 stafflinethickness#;
+define_blacker_pixels (solfa_pen_thick);
+
+
+save solfa_base_notewidth;
+solfa_base_notewidth# := black_notehead_width#;
+
+solfa_whole_width := whole_notehead_width# / black_notehead_width#;
+solfa_half_width := half_notehead_width# / black_notehead_width#;
+solfa_quarter_width := 1.0;
+
+def draw_do_head (expr width_factor, dir) =
+       save p_in, p_out;
+       save left_dist, right_dist;
+       path p_in, p_out;
+       pair left_dist, right_dist;
+
+       set_char_box (0, width_factor * solfa_base_notewidth#,
+                     0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
+
+       pickup pencircle scaled solfa_pen_thick;
+
+       bot y1 = -d;
+       y1 = y2;
+       lft x1 = 0;
+       rt x2 = w;
+       top y3 = h;
+       x3 =.5 [x1, x2];
+
+       left_dist = (unitvector (z3 - z1) rotated 90) * 0.5 solfa_pen_thick;
+       right_dist = (unitvector (z2 - z3) rotated 90) * 0.5 solfa_pen_thick;
+
+       p_in := (((z1 - left_dist) -- (z3 - left_dist)) intersectionpoint
+                 (top z1 -- top z2))
+               -- ((top z1 -- top z2) intersectionpoint
+                   ((z2 - right_dist) -- (z3 - right_dist)))
+               -- (((z2 - right_dist) -- (z3 - right_dist)) intersectionpoint
+                   ((z1 - left_dist) -- (z3 - left_dist)))
+               -- cycle;
+
+       p_out := bot z1
+                -- bot z2{right}
+                .. rt z2{up}
+                .. (z2 + right_dist){z3 - z2}
+                -- (z3 + right_dist){z3 - z2}
+                .. top z3{left}
+                .. (z3 + left_dist){z1 - z3}
+                -- (z1 + left_dist){z1 - z3}
+                .. lft z1{down}
+                .. {right}cycle;
+                
+
+       labels (1, 2, 3);
+
+       charwx := charwd;
+       charwy := -chardp + 0.5 stafflinethickness#;
+       if dir = -1:
+               charwy := -charwy;
+       fi;
+enddef;
+
+
+fet_beginchar ("Whole dohead", "s0do");
+       draw_do_head (solfa_whole_width, 1);
+       fill p_out;
+       unfill p_in;
+fet_endchar;
+
+
+fet_beginchar ("Half dohead", "d1do");
+       draw_do_head (solfa_half_width, -1);
+       fill p_out;
+       unfill p_in;
+fet_endchar;
+
+
+fet_beginchar ("Half dohead", "u1do");
+       draw_do_head (solfa_half_width, 1);
+       fill p_out;
+       unfill p_in;
+fet_endchar;
+
+
+fet_beginchar ("Quart dohead", "d2do");
+       draw_do_head (solfa_quarter_width, -1);
+       fill p_out;
+fet_endchar;
+
+
+fet_beginchar ("Quart dohead", "u2do");
+       draw_do_head (solfa_quarter_width, 1);
+       fill p_out;
+fet_endchar;
+
+
+%
+% re - flat top, curved bottom:
+%                (0,h/2) {dir -90} .. (w/2,-h/2) .. {dir 90} (w,h/2) -- cycle;
+% (broader along the base and with more vertical sides for half and
+% whole notes)
+% stem attachment: h/2
+%
+
+def draw_re_head (expr width_factor, dir) =
+       save p_in, p_out;
+       path p_in, p_out;
+
+       set_char_box (0, width_factor * solfa_base_notewidth#,
+                     0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
+
+       pickup pencircle scaled solfa_pen_thick;
+
+       save curve_start;
+       curve_start = 0.7;
+       lft x1 = 0;
+       y1 = y5;
+       x1 = x2;
+       y2 = curve_start [y3, y1];
+       bot y3 = -d;
+       x3 = .5 [x2, x4];
+       rt x4 = w;
+       y4 = y2;
+       top y5 = h;
+       x5 = x4;
+
+       labels (range 1 thru 5);
+
+       p_in := (z1 + 0.5 solfa_pen_thick * (1, -1))
+               -- rt z2{down}
+               .. top z3
+               .. lft z4{up}
+               -- (z5 + 0.5 solfa_pen_thick * (-1, -1))
+               -- cycle;
+
+       p_out := lft z1
+                -- lft z2{down}
+                .. bot z3
+                .. rt z4{up}
+                -- rt z5{up}
+                .. top z5{left}
+                -- top z1{left}
+                .. {down}cycle;
+
+       charwx := charwd;
+       charwy := curve_start [-chardp, charht];
+
+       if dir = -1:
+               charwy := -charwy;
+       fi;
+enddef;
+
+
+fet_beginchar ("Whole rehead", "s0re");
+       draw_re_head (solfa_whole_width, 1);
+       fill p_out;
+       unfill p_in;
+fet_endchar;
+
+
+fet_beginchar ("Half up rehead", "u1re");
+       draw_re_head (solfa_half_width, 1);
+       fill p_out;
+       unfill p_in;
+fet_endchar;
+
+
+fet_beginchar ("Half down rehead", "d1re");
+       draw_re_head (solfa_half_width, -1);
+       fill p_out;
+       unfill p_in;
+fet_endchar;
+
+
+fet_beginchar ("Quart rehead", "u2re");
+       draw_re_head (solfa_quarter_width, 1);
+       fill p_out;
+fet_endchar;
+
+
+fet_beginchar ("Quart rehead", "d2re");
+       draw_re_head (solfa_quarter_width, -1);
+       fill p_out;
+fet_endchar;
+
+
+def draw_mi_head (expr width_factor) =
+       save path_out, path_in;
+       save ne_dist, se_dist, ne, se;
+       path path_out, path_in;
+       pair ne_dist, se_dist, ne, se;
+
+       set_char_box (0, width_factor * solfa_base_notewidth#,
+                     0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
+
+       pickup pencircle scaled solfa_pen_thick;
+
+       lft x1 = 0;
+       y1 = 0;
+       bot y2 = -d;
+       x2 = .5 [x1, x3];
+       rt x3 = w;
+       x4 = x2;
+       y3 = y1;
+       top y4 = h;
+
+       z6 - z5 = whatever * (z2 - z1);
+       z8 - z7 = whatever * (z2 - z1);
+       z8 - z5 = whatever * (z4 - z1);
+       z6 - z7 = whatever * (z4 - z1);
+
+       ne = unitvector (z4 - z1);
+       se = unitvector (z1 - z2);
+
+       ne_dist = (ne rotated 90) * 0.5 solfa_pen_thick;
+       se_dist = (se rotated 90) * 0.5 solfa_pen_thick;
+
+       z5 = whatever [z1, z4] - ne_dist;
+       z5 = whatever [z1, z2] - 1.5 se_dist;
+
+       z5 - z1 = -(z7 - z3);
+
+       labels (range 1 thru 8);
+
+       path_in := z5
+                  -- z6
+                  -- z7
+                  -- z8
+                  -- cycle;
+
+       path_out := lft z1
+                   .. (z1 + se_dist){-se}
+                   -- (z2 + se_dist){-se}
+                   .. bot z2
+                   .. (z2 - ne_dist){ne}
+                   -- (z3 - ne_dist){ne}
+                   .. rt z3
+                   .. (z3 - se_dist){se}
+                   -- (z4 - se_dist){se}
+                   .. top z4
+                   .. (z4 + ne_dist){-ne}
+                   -- (z1 + ne_dist){-ne}
+                   .. cycle;
+enddef;
+
+
+fet_beginchar ("Whole mihead", "s0mi");
+       draw_mi_head (solfa_whole_width);
+       fill path_out;
+       unfill path_in;
+fet_endchar;
+
+
+fet_beginchar ("Half mihead", "s1mi");
+       draw_mi_head (solfa_quarter_width);
+       fill path_out;
+       unfill path_in;
+fet_endchar;
+
+
+fet_beginchar ("Quart mihead", "s2mi");
+       draw_mi_head (solfa_quarter_width);
+       fill path_out;
+fet_endchar;
+
+
+def draw_fa_head (expr width_factor) =
+       set_char_box (0, width_factor * solfa_base_notewidth#,
+                     0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
+
+       save p_down_in, p_down_out, p_up_in, p_up_out, nw_dist, nw;
+       path p_down_in, p_down_out, p_up_in, p_up_out;
+       pair nw_dist, nw;
+
+       pickup pencircle scaled solfa_pen_thick;
+
+       lft x1 = 0;
+       top y1 = h;
 
-fet_begingroup("balls");
-
-noteheight#:=interline#+ (1 + overdone_heads) *stafflinethickness#;
-define_pixels(noteheight);
-brevis_wid# := 2 interline#;
-
-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;
-       addto currentpicture also currentpicture reflectedabout(z4r, z4l);
-enddef;
-
-save uitsteek;
- uitsteek = .25;
-def draw_ledger(expr wid)=     
-       set_char_box(uitsteek * wid, (1+ uitsteek)*wid, 
-               ledgerlinethickness#/2,ledgerlinethickness#/2);
-       pickup pencircle scaled ledgerlinethickness;
        rt x2 = w;
-       lft x1 = -b;
-       y1 = y2 = 0;
-       draw z1 .. z2;
-enddef;
-
-fet_beginchar("Brevis notehead", "-1", "brevisball")
-       draw_brevis(brevis_wid#);
-fet_endchar;
-fet_beginchar("Brevis ledger", "-1l", "brevisledger")
-       draw_ledger(brevis_wid#);
-fet_endchar;
-
-%
-% Some sources (eg Musix/OpusTeX think that the appendage should be on
-% the right, my only other ref [Willemze], shows an appendage to the left
-%
-fet_beginchar("Longa notehead", "-2", "longaball");
-       draw_brevis(brevis_wid#);
-       save theta;
-       z7 = z5;
-       z6 - z7 = (-stem_width/2, -interline);
-       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);
-fet_endchar;
-fet_beginchar("Longa ledger", "-2l", "longaledger")
-       draw_ledger(brevis_wid#);
-fet_endchar;
-
-
-% setup user vars
-def setup_notehead_vars =
-       save a_b,err_y_a,tilt,superness;
-       save ai_a,ai_bi,err_y_ai,err_x_bi,inner_tilt,inner_superness;
-       save b_h,a_w;
-       enddef;
-
-% setup addititional vars and calc them
-def notehead_calc =
-       save a,beta,ai,bi, ht, wd;
-       ht# =noteheight#;
-       2beta#=ht#*b_h;
-       a# = beta#*a_b;
-       wd# = 2a# / a_w;
-       ai# = a# * ai_a;
-       bi# = ai#/ai_bi;
-       define_pixels(a,beta);
-       define_pixels(ai,bi);
-       set_char_box(0, wd#, .5 ht#, .5 ht#);
-       enddef;
-
-
-% draw the outer and inner ellipse.
-def notehead_draw =
-       path black,white;
-       black=distorted_ellipse(a,beta,a*err_y_a,0,superness);
-       white=distorted_ellipse(ai,bi,ai*err_y_ai,bi*err_x_bi,inner_superness);
-if test>1: %fixme
-               save x;
-               x1=-x3=a; x2=x4=0; y1=y3=0; y2=-y4=b;
-               penlabels(1,2,3,4);
-               test_grid;
-else:
-               black:=black rotated tilt;
-               black:=black shifted (w/2,0);
-               white:=white rotated inner_tilt;
-               white:=white shifted (w/2,0);
-fi
-               fill black;
-               unfill white;
-
-               
-       enddef;
-
-% whole note
-% Wanske, p.38
-fet_beginchar("Whole notehead", "0", "wholeball")
-       setup_notehead_vars;
-       
-       a_b:=1.80;
-       err_y_a:=0; % no slant
-       tilt:=0;
-       superness:=0.707;
-       ai_a:=0.508;
-       % ai_bi:=1.23;
-       ai_bi:=1.30; % jcn
-       % err_y_ai:=0.0938;
-       % err_x_bi:=0;
-       err_y_ai:=0;
-       err_x_bi:=0.115;
-       % inner_tilt:=135;
-       inner_tilt:=125; % jcn
-       % inner_superness:=0.69;
-       inner_superness:=0.68; % jcn
-       b_h:=1; %no rotate-> no height correction
-       a_w:=1; % no rotate-> no width correction
-
-       notehead_calc;
-       whole_notehead_width# := wd#;
-       notehead_draw;
-fet_endchar;
-
-
-fet_beginchar("Whole ledger line", "0l", "wholeledger")
-       draw_ledger(whole_notehead_width#);
-fet_endchar;
-
-% half note
-% Wanske, p.39
-fet_beginchar("Half notehead", "1", 
-       "halfball")
-       setup_notehead_vars;
-               % a_b:=1.49; % after text
-       a_b:=1.50; % after drawing
-       err_y_a:=0.157;
-       tilt:=34;
-       % superness:=0.66;
-       superness:=0.67; % jcn
-       % ai_a:=0.863;
-       ai_a:=0.850; % jcn
-       % ai_bi:=3.14;
-       ai_bi:=3.30; % jcn
-       err_y_ai:=0;
-       err_x_bi:=-0.12;
-       inner_tilt:=tilt;
-       inner_superness:=0.80;
-       b_h:=0.935;
-       a_w:=1.12;
-
-       notehead_calc;
-       half_notehead_width# := wd#;
-       notehead_draw;
-fet_endchar;
-
-
-fet_beginchar("Half ledger", "1l", "halfledger")
-       draw_ledger(half_notehead_width#);
-fet_endchar;
-
-% quarter note
-% Wanske p.38
-fet_beginchar("Quart notehead", "2", "quartball")
-       setup_notehead_vars;
-       % a_b:=1.57; % after text
-       a_b:=1.54; % after drawing
-       err_y_a:=0.044;
-       tilt:=32;
-       superness:=0.707;
-       ai_a:=0;
-       ai_bi:=1;
-       err_y_ai:=0;
-       err_x_bi:=0;
-       inner_tilt:=0;
-       inner_superness:=0.707;
-       b_h:=0.85;
-       a_w:=1.09;
-
-       notehead_calc;
-       black_notehead_width# := wd#;
-       notehead_draw;
-fet_endchar;
-
-
-fet_beginchar("Quart ledger", "2l", "quartledger")
-       draw_ledger(black_notehead_width#);
-fet_endchar;
-
-fet_endgroup("balls");
-
-define_pixels(black_notehead_width);
+       y2 = y1;
+       bot y3 = -d;
+       x3 = x2;
+
+       y4 = y3;
+       x4 = x1;
+
+       labels (1, 2, 3, 4);
+
+       nw = unitvector (z1 - z3);
+       nw_dist = (nw rotated 90) * 0.5 solfa_pen_thick;
+
+       p_up_in := (((z1 - nw_dist) -- (z3 - nw_dist)) intersectionpoint
+                    (bot z1 -- bot z2))
+                  -- (((z1 - nw_dist) -- (z3 - nw_dist)) intersectionpoint
+                       (lft z3 -- lft z2))
+                  -- (z2 + 0.5 solfa_pen_thick * (-1, -1))
+                  -- cycle;
+
+       p_up_out := lft z1{down}
+                   .. (z1 + nw_dist){-nw}
+                   -- (z3 + nw_dist){-nw}
+                   .. bot z3{right}
+                   .. rt z3{up}
+                   -- rt z2{up}
+                   .. top z2{left}
+                   -- top z1{left}
+                   .. {down}cycle;
+
+       p_down_in := p_up_in rotated 180 shifted (w, 0);
+       p_down_out := p_up_out rotated 180 shifted (w, 0);
+
+       charwy := 0.0;
+       charwx := charwd;
+enddef;
+
+
+fet_beginchar ("Whole fa up head", "u0fa");
+       draw_fa_head (solfa_whole_width);
+       fill p_up_out;
+       unfill p_up_in;
+fet_endchar;
+
+
+fet_beginchar ("Whole fa down head", "d0fa");
+       draw_fa_head (solfa_whole_width);
+       fill p_down_out;
+       unfill p_down_in;
+fet_endchar;
+
+
+fet_beginchar ("half fa up head", "u1fa");
+       draw_fa_head (solfa_half_width);
+       fill p_up_out;
+       unfill p_up_in;
+fet_endchar;
+
+
+fet_beginchar ("Half fa down head", "d1fa");
+       draw_fa_head (solfa_half_width);
+       fill p_down_out;
+       unfill p_down_in;
+fet_endchar;
+
+
+fet_beginchar ("Quarter fa up head", "u2fa");
+       draw_fa_head (solfa_quarter_width);
+       fill p_up_out;
+fet_endchar;
+
+
+fet_beginchar ("Quarter fa down head", "d2fa");
+       draw_fa_head (solfa_quarter_width);
+       fill p_down_out;
+fet_endchar;
+
+
+def draw_la_head (expr width_factor) =
+       set_char_box (0, width_factor * solfa_base_notewidth#,
+                     0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
+       save p_in, p_out;
+       path p_in, p_out;
+
+       pickup pencircle scaled solfa_pen_thick;
+
+       lft x1 = 0;
+       top y1 = h;
+
+       rt x2 = w;
+       y2 = y1;
+       bot y3 = -d;
+       x3 = x2;
+
+       y4 = y3;
+       x4 = x1;
+
+       labels (range 1 thru 4);
+
+       p_in := (z1 + 0.5 solfa_pen_thick * (1, -1))
+               -- (z2 + 0.5 solfa_pen_thick * (-1, -1))
+               -- (z3 + 0.5 solfa_pen_thick * (-1, 1))
+               -- (z4 + 0.5 solfa_pen_thick * (1, 1))
+               -- cycle;
+
+       p_out := top z1
+                -- top z2{right}
+                .. rt z2{down}
+                -- rt z3{down}
+                .. bot z3{left}
+                -- bot z4{left}
+                .. lft z4{up}
+                -- lft z1{up}
+                .. cycle;
+enddef;
+
+
+fet_beginchar ("Whole lahead", "s0la");
+       draw_la_head (solfa_whole_width);
+       fill p_out;
+       unfill p_in;
+fet_endchar;
+
+
+fet_beginchar ("Half lahead", "s1la");
+       draw_la_head (solfa_half_width);
+       fill p_out;
+       unfill p_in;
+fet_endchar;
+
+
+fet_beginchar ("Quart lahead", "s2la");
+       draw_la_head (solfa_quarter_width);
+       fill p_out;
+fet_endchar;
+
+
+def draw_ti_head (expr width_factor, dir) =
+       set_char_box (0, width_factor * solfa_base_notewidth#,
+                     0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
+       save p_in, p_out, p_top;
+       save nw_dist, sw_dist, nw, sw;
+       path p_in, p_out, p_top;
+       pair nw_dist, sw_dist, nw, sw;
+       save cone_height;
+       cone_height = 0.64;
+
+       pickup pencircle scaled solfa_pen_thick;
+
+       x1 = .5 [x2, x4];
+       bot y1 = -d;
+       lft x2 = 0;
+       y2 = cone_height [y1, y3];
+       rt x4 = w;
+       y4 = y2;
+       x3 = x1;
+       top y3 = h;
+
+       labels (range 1 thru 4);
+
+       nw = unitvector (z2 - z1);
+       sw = unitvector (z1 - z4);
+
+       nw_dist = (nw rotated 90) * 0.5 solfa_pen_thick;
+       sw_dist = (sw rotated 90) * 0.5 solfa_pen_thick;
+
+       p_top := (z2 - sw_dist)
+                .. (top z3){right}
+                .. (z4 - nw_dist);
+
+       p_in := (((z1 - nw_dist) -- (z2 - nw_dist)) intersectionpoint
+                 ((z1 - sw_dist) -- (z4 - sw_dist)))
+               -- (((z1 - nw_dist) -- (z2 - nw_dist)) intersectionpoint
+                    ((z2 + sw_dist) .. {right}(bot z3)))
+               .. bot z3
+               .. (((bot z3){right} .. (z4 + nw_dist)) intersectionpoint
+                    ((z1 - sw_dist) -- (z4 - sw_dist)))
+               -- cycle;
+
+       p_out := bot z1
+                .. (z1 + nw_dist)
+                -- (z2 + nw_dist)
+                .. lft z2
+                .. (z2 - sw_dist){direction 0 of p_top}
+                & p_top
+                & {direction infinity of p_top}(z4 - nw_dist)
+                .. rt z4
+                .. (z4 + sw_dist)
+                -- (z1 + sw_dist)
+                .. cycle;
+
+       charwx := charwd;
+       charwy := cone_height [-chardp, charht];
+       if dir = -1:
+               charwy := -charwy;
+       fi;
+enddef;
+
+
+fet_beginchar ("Whole up tihead", "s0ti");
+       draw_ti_head (solfa_whole_width, 1);
+       fill p_out;
+       unfill p_in;
+fet_endchar;
+
+
+fet_beginchar ("Half up tihead", "u1ti");
+       draw_ti_head (solfa_half_width, 1);
+       fill p_out;
+       unfill p_in;
+fet_endchar;
+
+
+fet_beginchar ("Half down tihead", "d1ti");
+       draw_ti_head (solfa_half_width, -1);
+       fill p_out;
+       unfill p_in;
+fet_endchar;
+
+
+fet_beginchar ("Quart up tihead", "u2ti");
+       draw_ti_head (solfa_quarter_width, 1);
+       fill p_out;
+fet_endchar;
+
+
+fet_beginchar ("Quart down tihead", "d2ti");
+       draw_ti_head (solfa_quarter_width, -1);
+       fill p_out;
+fet_endchar;
+
+
+fet_endgroup ("noteheads");
+
+
+%
+% we derive black_notehead_width# from the quarter head,
+% so we have to define black_notehead_width (pixel qty)
+% after the black_notehead_width# itself.
+%
+% Let's keep it outside the group as well.
+%
+
+define_pixels (black_notehead_width);