]> git.donarmstrong.com Git - lilypond.git/blobdiff - mf/parmesan-heads.mf
Run `make grand-replace'.
[lilypond.git] / mf / parmesan-heads.mf
index 4f49eba1c42ad15ebe8ef4722de24196cdae8a82..6064a66bd6556e15448e0690b4f2c7bc69705c50 100644 (file)
@@ -3,7 +3,7 @@
 % 
 % source file of LilyPond's pretty-but-neat music font
 % 
-% (c) 2001--2006 Juergen Reuter <reuter@ipd.uka.de>
+% (c) 2001--2008 Juergen Reuter <reuter@ipd.uka.de>
 % 
 % Neo-mensural heads originally by
 % Christian Mondrup and Mats Bengtsson
@@ -12,7 +12,7 @@
 save black_notehead_width;
 numeric black_notehead_width;
 
-fet_begingroup ("noteheads")
+fet_begingroup ("noteheads");
 
 %
 % character aligment:
@@ -145,38 +145,6 @@ fet_beginchar ("Left stemmed notehead", "slneomensural");
 fet_endchar;
 
 
-%
-% Find point on `curve' which gives the tangent between point `p'
-% and `curve'.  To guide the search, two auxiliary points must be
-% specified, `p_in' and `p_out'.  The line between `p' and `p_in'
-% must intersect `curve', while the line between `p' and `p_out'
-% must not.
-%
-def find_tangent (expr p, curve, p_in, p_out) =
-       begingroup;
-       save mid, t, t_good, in, out;
-       pair mid, in, out;
-
-       in := p_in;
-       out := p_out;
-
-       forever:
-               mid := 0.5 [in, out];
-               exitif abs (out - mid) <= eps;
-               t := xpart (curve intersectiontimes (p -- mid));
-               if (t > 0):
-                       in := mid;
-                       t_good := t;
-               else:
-                       out := mid;
-               fi;
-       endfor;
-
-       point t_good of curve
-       endgroup
-enddef;
-
-
 %
 % Some sources (eg. Musix/OpusTeX) think that the appendage should be on
 % the left, some say right.  Right wins democratically.
@@ -214,17 +182,17 @@ enddef;
 %
 % (ze is wel breed)
 % 
-fet_beginchar ("Neo-mensural maxima notehead", "s-3neomensural");
+fet_beginchar ("Neo-mensural maxima notehead", "sM3neomensural");
        draw_neomensural_longa (2.6 staff_space#);
 fet_endchar;
 
 
-fet_beginchar ("Neo-mensural longa notehead", "s-2neomensural");
+fet_beginchar ("Neo-mensural longa notehead", "sM2neomensural");
        draw_neomensural_longa (2 staff_space#);
 fet_endchar;
 
 
-fet_beginchar ("Neo-mensural brevis notehead", "s-1neomensural");
+fet_beginchar ("Neo-mensural brevis notehead", "sM1neomensural");
        draw_neomensural_brevis (2 staff_space#);
 fet_endchar;
 
@@ -396,56 +364,25 @@ fet_beginchar ("Mensural left stemmed notehead", "slmensural");
 fet_endchar;
 
 
-fet_beginchar ("Mensural maxima notehead", "s-3mensural");
+fet_beginchar ("Mensural maxima notehead", "sM3mensural");
        draw_mensural_longa (2.0 staff_space#);
 fet_endchar;
 
 
-fet_beginchar ("Mensural longa notehead", "s-2mensural");
+fet_beginchar ("Mensural longa notehead", "sM2mensural");
        draw_mensural_longa (staff_space#);
 fet_endchar;
 
 
-fet_beginchar ("Mensural brevis notehead", "s-1mensural");
+fet_beginchar ("Mensural brevis notehead", "sM1mensural");
        draw_mensural_brevis (staff_space#);
 fet_endchar;
 
 
-%
-% Shift `curve' along the line given by the auxiliary points `p_in'
-% and `p_out' until `line' is a tangent, and return the shift.
-% If `curve' is shifted to position `p_in', it must intersect
-% `line', while shifted to `p_out' it must not.
-%
-def find_tangent_shift (expr line, curve, p_in, p_out) =
-       begingroup;
-       save mid, t, t_good, in, out;
-       pair mid, in, out;
-
-       in := p_in;
-       out := p_out;
-
-       forever:
-               mid := 0.5 [in, out];
-               exitif abs (out - mid) <= eps;
-               t := xpart ((curve shifted mid) intersectiontimes line);
-               if (t > 0):
-                       in := mid;
-                       t_good := t;
-               else:
-                       out := mid;
-               fi;
-       endfor;
-
-       mid
-       endgroup
-enddef;
-
-
 def draw_diamond_head (expr head_h, pen_w, pen_h, angle, open) =
        save head_width, head_height;
        save ellipse, ellipse_r;
-       path ellipse, ellipse_r;
+       path ellipse, ellipse_r, diamond_shape;
 
        head_height# = head_h;
        head_width# / head_height# = tand (angle);
@@ -462,7 +399,6 @@ def draw_diamond_head (expr head_h, pen_w, pen_h, angle, open) =
                     xscaled (max (blot_diameter, pen_w * head_width))
                     yscaled (max (blot_diameter, pen_h * head_width))
                     rotated -angle;
-       ellipse_r := ellipse rotated 180;
 
        z1 = find_tangent_shift (((0, h) -- (0, -h)), ellipse,
                                 (0, 0), (w / 2, 0));
@@ -473,19 +409,12 @@ def draw_diamond_head (expr head_h, pen_w, pen_h, angle, open) =
        z4 = find_tangent_shift (((0, -h) -- (w, -h)), ellipse,
                                 (w / 2, -h), (w / 2, 0));
 
-       fill (subpath (directiontime (z1 - z4) of ellipse,
-                      directiontime (z2 - z1) of ellipse)
-              of ellipse) shifted z1
-            -- (subpath (directiontime (z2 - z1) of ellipse,
-                         directiontime (z3 - z2) of ellipse)
-                 of ellipse) shifted z2
-            -- (subpath (directiontime (z3 - z2) of ellipse_r,
-                         directiontime (z4 - z3) of ellipse_r)
-                 of ellipse_r) shifted z3
-            -- (subpath (directiontime (z4 - z3) of ellipse_r,
-                         directiontime (z1 - z4) of ellipse_r)
-                 of ellipse_r) shifted z4
-            -- cycle;
+       diamond_shape := get_subpath (ellipse, z1 - z4, z2 - z1, z1)
+                        -- get_subpath (ellipse, z2 - z1, z3 - z2, z2)
+                        -- get_subpath (ellipse, z3 - z2, z4 - z3, z3)
+                        -- get_subpath (ellipse, z4 - z3, z1 - z4, z4)
+                        -- cycle;
+       fill diamond_shape;
 
        if open:
                save l;
@@ -553,11 +482,9 @@ fet_endchar;
 %
 %
 
-% parameterized punctum
-def punctum_char (expr verbose_name, internal_name,
-                      left_stem, right_stem, linea, cavum,
-                      straight, auctum, rev_auctum, d_up,
-                      eccentric, up_shift, down_shift, mag) =
+def vat_punctum_char (expr verbose_name, internal_name,
+                          linea, cavum, straight, auctum,
+                          d_up, up_shift, down_shift, mag) =
        fet_beginchar (verbose_name, "s" & internal_name);
                save a_b, b_h, a_w;
 
@@ -568,9 +495,9 @@ def punctum_char (expr verbose_name, internal_name,
                save a, beta, ht, wd;
 
                ht# = noteheight# * mag;
-               2 beta# = ht# * b_h;
-               a# = beta# * a_b;
-               wd# = 2 a# / a_w;
+               2 beta = ht# * b_h;
+               a = beta * a_b;
+               wd# = 2 a / a_w;
                black_notehead_width# := wd#;
 
                % direction
@@ -579,10 +506,10 @@ def punctum_char (expr verbose_name, internal_name,
 
                if d_up:
                        d_ := up;
-                       d_sign# := 1;
+                       d_sign := 1;
                else:
                        d_ := down;
-                       d_sign# := -1;
+                       d_sign := -1;
                fi;
 
                % convexity and eccentricity
@@ -594,9 +521,6 @@ def punctum_char (expr verbose_name, internal_name,
                elseif auctum:
                        u_convexity# := -0.03 ht#;
                        u_eccentricity# := +0.25 ht#;
-               elseif rev_auctum:
-                       u_convexity# := -0.10 ht#;
-                       u_eccentricity# := -0.12 ht#;
                else:
                        u_convexity# := -0.05 ht#;
                        u_eccentricity# := 0.0 ht#; % dummy
@@ -604,8 +528,8 @@ def punctum_char (expr verbose_name, internal_name,
 
                save convexity, eccentricity;
 
-               convexity# := d_sign# * u_convexity#;
-               eccentricity# := d_sign# * u_eccentricity#;
+               convexity# := d_sign * u_convexity#;
+               eccentricity# := d_sign * u_eccentricity#;
 
                % y shift offset
                save yoffs;
@@ -622,14 +546,16 @@ def punctum_char (expr verbose_name, internal_name,
 
                pickup pencircle scaled linethickness;
 
-               path p;
-               save height, yoffs_bt;
+               save height, yoffs_bt, p, circle, circle_r;
+               path p, circle, circle_r;
 
                height# = 0.47 ht#;
                yoffs_bt# = yoffs# - 0.5 height# - 0.25 convexity#;
 
                define_pixels (height, yoffs_bt);
 
+               circle := fullcircle scaled linethickness;
+
                x1 = x6;
                x2 = x5;
                x3 = x4;
@@ -639,17 +565,15 @@ def punctum_char (expr verbose_name, internal_name,
 
                save box_top, box_bt;
 
-               if auctum or rev_auctum:
-                       z1 = (0.00 wd + linethickness / 2,
-                              yoffs_bt);
-                       z2 = (0.21 wd,
-                              yoffs_bt + 1.0 convexity);
+               if auctum:
+                       z1 = (0.00 wd + linethickness / 2, yoffs_bt);
+                       z2 = (0.21 wd, yoffs_bt + convexity);
                        z3 = (0.42 wd - linethickness/ 2,
-                              yoffs_bt + 1.0 eccentricity);
+                             yoffs_bt + eccentricity);
                        box_top# = height# + yoffs_bt# +
-                               max (0, 1.0 convexity#, 1.0 eccentricity#);
+                                    max (0, convexity#, eccentricity#);
                        box_bt# = yoffs_bt# +
-                               min (0, 1.0 convexity#, 1.0 eccentricity#);
+                                    min (0, convexity#, eccentricity#);
                        p = z1
                            .. {right}z2
                            .. {d_}z3
@@ -657,35 +581,12 @@ def punctum_char (expr verbose_name, internal_name,
                            .. z5{left}
                            .. z6
                            -- cycle;
-               elseif eccentric:
-                       z1 = (0.00 wd + linethickness / 2,
-                              yoffs_bt - 1.0 convexity);
-                       z2 = (0.08 wd,
-                              yoffs_bt + 1.4 convexity);
-                       z3 = (0.42 wd - linethickness / 2,
-                              yoffs_bt - 1.0 convexity);
-                       box_top# = height# + yoffs_bt# +
-                               max (-1.0 convexity#, 1.4 convexity#, 0);
-                       box_bt# = yoffs_bt# +
-                               min (-1.0 convexity#, 1.4 convexity#, 0);
-                       p = z1{d_}
-                           .. z2{right}
-                           .. z3
-                           -- z4
-                           .. {left}z5
-                           .. {-d_}z6
-                           -- cycle;
                else:
-                       z1 = (0.00 wd + linethickness / 2,
-                              yoffs_bt);
-                       z2 = (0.21 wd,
-                              yoffs_bt + 1.0 convexity);
-                       z3 = (0.42 wd - linethickness / 2,
-                              yoffs_bt);
-                       box_top# = height# + yoffs_bt# +
-                               max (0, 1.0 convexity#);
-                       box_bt# = yoffs_bt# +
-                               min (0, 1.0 convexity#);
+                       z1 = (0.00 wd + linethickness / 2, yoffs_bt);
+                       z2 = (0.21 wd, yoffs_bt + convexity);
+                       z3 = (0.42 wd - linethickness / 2, yoffs_bt);
+                       box_top# = height# + yoffs_bt# + max (0, convexity#);
+                       box_bt# = yoffs_bt# + min (0, convexity#);
                        p = z1
                            .. z2
                            .. z3
@@ -697,34 +598,56 @@ def punctum_char (expr verbose_name, internal_name,
 
                labels (1, 2, 3, 4, 5, 6);
 
-               if cavum:
-                       draw p;
-               else:
-                       filldraw p;
-               fi;
+               save dirs;
+               pair dirs[];
 
-               pickup pencircle scaled 0.6 linethickness;
+               dirs12 := direction (0 + epsilon) of p;
+               dirs2 := direction 1 of p;
+               dirs32 := direction (2 - epsilon) of p;
+               dirs45 := direction (3 + epsilon) of p;
+               dirs5 := direction 4 of p;
+               dirs65 := direction (5 - epsilon) of p;
 
-               save stem_bt;
+               fill get_subpath (circle, down, dirs12, z1)
+                    .. (bot z2){dirs2}
+                    .. get_subpath (circle, dirs32, up, z3)
+                    -- get_subpath (circle, up, dirs45, z4)
+                    .. (top z5){dirs5}
+                    .. get_subpath (circle, dirs65, down, z6)
+                    -- cycle;
 
-               if left_stem:
-                       z11 = (0.00 wd + 0.6 linethickness / 2, yoffs);
-                       z12 = (0.00 wd + 0.6 linethickness / 2, yoffs - 1.1 ht);
-                       draw z11
-                            -- z12;
-                       stem_bt# = yoffs# - 1.1 ht#;
-               elseif right_stem:
-                       z11 = (0.42 wd - 0.6 linethickness / 2, yoffs);
-                       z12 = (0.42 wd - 0.6 linethickness / 2, yoffs - 1.5 ht);
-                       draw z11
-                            -- z12;
-                       stem_bt# = yoffs# - 1.5 ht#;
-               else:
-                       stem_bt# = 0;
+               if cavum:
+                       save pat, t;
+                       path pat[];
+                       numeric t[];
+
+                       pat123 := ((directionpoint -dirs12 of circle)
+                                   shifted z1){dirs12}
+                                 .. (top z2){dirs2}
+                                 .. {dirs32}((directionpoint -dirs32 of circle)
+                                      shifted z3);
+                       pat34 := lft z3
+                                -- lft z4;
+                       pat456 := ((directionpoint -dirs45 of circle)
+                                   shifted z4){dirs45}
+                                 .. (bot z5){dirs5}
+                                 .. {dirs65}((directionpoint -dirs65 of circle)
+                                      shifted z6);
+                       pat61 := rt z6
+                                -- rt z1;
+
+                       t61 := ypart (pat61 intersectiontimes pat123);
+                       t12 := xpart (pat123 intersectiontimes pat34);
+                       t34 := ypart (pat34 intersectiontimes pat456);
+                       t45 := xpart (pat456 intersectiontimes pat61);
+
+                       unfill subpath (t61, t12) of pat123
+                              -- subpath (t34, t45) of pat456
+                              -- cycle;
                fi;
 
                set_char_box (0.00 wd#, 0.42 wd#,
-                             max (0, -box_bt#, -stem_bt#) + linethickness# / 2,
+                             max (0, -box_bt#) + linethickness# / 2,
                              max (0, box_top#) + linethickness# / 2);
 
                if linea:
@@ -735,17 +658,20 @@ def punctum_char (expr verbose_name, internal_name,
 
                        define_pixels (linea_width, linea_height);
 
-                       draw_block ((-0.10 wd - linea_width / 2,
-                                    -linea_height / 2),
-                                   (-0.10 wd + linea_width / 2,
-                                    +linea_height / 2));
-                       draw_block ((+0.52 wd - linea_width / 2,
-                                    -linea_height / 2),
-                                   (+0.52 wd + linea_width / 2,
-                                    +linea_height / 2));
-
-                       set_char_box (0,
-                                     0.62 wd# + linea_width#,
+                       pickup pencircle scaled 0.6 linethickness;
+
+                       draw_rounded_block ((-0.10 wd - linea_width / 2,
+                                            -linea_height / 2),
+                                           (-0.10 wd + linea_width / 2,
+                                            +linea_height / 2),
+                                           0.6 linethickness);
+                       draw_rounded_block ((+0.52 wd - linea_width / 2,
+                                            -linea_height / 2),
+                                           (+0.52 wd + linea_width / 2,
+                                            +linea_height / 2),
+                                           0.6 linethickness);
+
+                       set_char_box (0, 0.62 wd# + linea_width#,
                                      linea_height# / 2,
                                      linea_height# / 2);
 
@@ -756,85 +682,415 @@ def punctum_char (expr verbose_name, internal_name,
 enddef;
 
 
-% parameterized punctum inclinatum
-def inclinatum_char (expr verbose_name, internal_name,
-                    small, stropha, auctum) =
+def plica_char (expr verbose_name, internal_name,
+                    d_up, mag) =
+       fet_beginchar (verbose_name, "s" & internal_name);
+               save a_b, 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;
+               2 beta = ht# * b_h;
+               a = beta * a_b;
+               wd# = 2 a / a_w;
+               black_notehead_width# := wd#;
+
+               % direction
+               save d_, d_sign;
+               pair d_;
+
+               if d_up:
+                       d_ := up;
+                       d_sign := 1;
+               else:
+                       d_ := down;
+                       d_sign := -1;
+               fi;
+
+               % convexity and eccentricity
+               save convexity, eccentricity;
+
+               convexity# := d_sign * -0.10 ht#;
+               eccentricity# := d_sign * -0.12 ht#;
+
+               % y shift offset
+               save yoffs;
+
+               yoffs# := -0.11 ht#;
+
+               define_pixels (convexity, eccentricity, yoffs, ht, wd);
+
+               pickup pencircle scaled linethickness;
+
+               save height, yoffs_bt, p, circle, circle_r;
+               path p, circle, circle_r;
+
+               height# = 0.47 ht#;
+               yoffs_bt# = yoffs# - 0.5 height# - 0.25 convexity#;
+
+               define_pixels (height, yoffs_bt);
+
+               circle := fullcircle scaled linethickness;
+
+               x1 = x6;
+               x2 = x5;
+               x3 = x4;
+               y1 + height = y6;
+               y2 + height = y5;
+               y3 + height = y4;
+
+               save box_top, box_bt;
+
+               z1 = (0.00 wd + linethickness / 2, yoffs_bt);
+               z2 = (0.21 wd, yoffs_bt + convexity);
+               z3 = (0.42 wd - linethickness/ 2, yoffs_bt + eccentricity);
+               box_top# = height# + yoffs_bt# +
+                            max (0, convexity#, eccentricity#);
+               box_bt# = yoffs_bt# +
+                            min (0, convexity#, eccentricity#);
+               p = z1
+                   .. z2{right}
+                   .. z3
+                   -- z4
+                   .. z5{left}
+                   .. z6
+                   -- cycle;
+
+               labels (1, 2, 3, 4, 5, 6);
+
+               save dirs;
+               pair dirs[];
+
+               dirs12 := direction (0 + epsilon) of p;
+               dirs2 := direction 1 of p;
+               dirs32 := direction (2 - epsilon) of p;
+               dirs45 := direction (3 + epsilon) of p;
+               dirs5 := direction 4 of p;
+               dirs65 := direction (5 - epsilon) of p;
+
+               fill get_subpath (circle, down, dirs12, z1)
+                    .. (bot z2){dirs2}
+                    .. get_subpath (circle, dirs32, up, z3)
+                    -- get_subpath (circle, up, dirs45, z4)
+                    .. (top z5){dirs5}
+                    .. get_subpath (circle, dirs65, down, z6)
+                    -- cycle;
+
+               pickup pencircle scaled 0.6 linethickness;
+
+               save stem_bt;
+
+               set_char_box (0.00 wd#, 0.42 wd#,
+                             max (0, -box_bt#) + linethickness# / 2,
+                             max (0, box_top#) + linethickness# / 2);
+
+       fet_endchar;
+enddef;
+
+
+def epiphonus_char (expr verbose_name, internal_name,
+                        left_stem, d_up, down_shift, mag) =
+       fet_beginchar (verbose_name, "s" & internal_name);
+               save a_b, 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;
+               2 beta = ht# * b_h;
+               a = beta * a_b;
+               wd# = 2 a / a_w;
+               black_notehead_width# := wd#;
+
+               % direction
+               save d_, d_sign;
+               pair d_;
+
+               if d_up:
+                       d_ := up;
+                       d_sign := 1;
+               else:
+                       d_ := down;
+                       d_sign := -1;
+               fi;
+
+               % convexity and eccentricity
+               save convexity;
+
+               convexity# := d_sign * -0.05ht#;
+
+               % y shift offset
+               save yoffs;
+
+               if down_shift:
+                       yoffs# := -0.11 ht#;
+               else:
+                       yoffs# := 0.00 ht#;
+               fi;
+
+               define_pixels (convexity, yoffs, ht, wd);
+
+               pickup pencircle scaled linethickness;
 
-       fet_beginchar (verbose_name, "s" & internal_name)
+               save height, yoffs_bt, p, circle, circle_r;
+               path p, circle, circle_r;
+
+               height# = 0.47 ht#;
+               yoffs_bt# = yoffs# - 0.5 height# - 0.25 convexity#;
+
+               define_pixels (height, yoffs_bt);
+
+               circle := fullcircle scaled linethickness;
+
+               x1 = x6;
+               x2 = x5;
+               x3 = x4;
+               y1 + height = y6;
+               y2 + height = y5;
+               y3 + height = y4;
+
+               save box_top, box_bt;
+
+               z1 = (0.00 wd + linethickness / 2, yoffs_bt - 2.5 convexity);
+               z2 = (0.06 wd, yoffs_bt + 1.4 convexity);
+               z3 = (0.42 wd - linethickness / 2, yoffs_bt - 1.0 convexity);
+               box_top# = height# + yoffs_bt# +
+                            max (-1.0 convexity#, 1.4 convexity#, 0);
+               box_bt# = yoffs_bt# +
+                            min (-1.0 convexity#, 1.4 convexity#, 0);
+               p = z1{-d_}
+                   .. {curl 1}z2{right}
+                   .. z3
+                   -- z4
+                   .. {left}z5{curl 1}
+                   .. {d_}z6
+                   -- cycle;
+
+               labels (1, 2, 3, 4, 5, 6);
+
+               save dirs;
+               pair dirs[];
+
+               dirs12 := direction (0 + epsilon) of p;
+               dirs21 := direction (1 - epsilon) of p;
+               dirs23 := direction (1 + epsilon) of p;
+               dirs32 := direction (2 - epsilon) of p;
+               dirs45 := direction (3 + epsilon) of p;
+               dirs54 := direction (4 - epsilon) of p;
+               dirs56 := direction (4 + epsilon) of p;
+               dirs65 := direction (5 - epsilon) of p;
+
+               fill get_subpath (circle, down, dirs12, z1)
+                    .. get_subpath (circle, dirs21, dirs23, z2)
+                    .. get_subpath (circle, dirs32, up, z3)
+                    -- get_subpath (circle, up, dirs45, z4)
+                    .. get_subpath (circle, dirs54, dirs56, z5)
+                    .. get_subpath (circle, dirs65, down, z6)
+                    -- cycle;
+
+               save stem_bt;
+
+               if left_stem:
+                       pickup pencircle scaled 0.6 linethickness;
+
+                       lft x11 = x1 - linethickness / 2;
+                       bot y11 = yoffs - 1.1 ht - linethickness / 2;
+                       x12 = x11;
+                       y12 = y1;
+
+                       draw_rounded_block (bot lft z11, top rt z12,
+                                           0.6 linethickness);
+                       stem_bt# = yoffs# - 1.1 ht#;
+
+                       labels (11, 12);
+               else:
+                       stem_bt# = 0;
+               fi;
+
+               set_char_box (0.00 wd#, 0.42 wd#,
+                             max (0, -box_bt#, -stem_bt#) + linethickness# / 2,
+                             max (0, box_top#) + linethickness# / 2);
+       fet_endchar;
+enddef;
+
+
+def inclinatum_char (expr verbose_name, internal_name,
+                         small, stropha, auctum) =
+       fet_beginchar (verbose_name, "s" & internal_name);
                save ht, alpha;
-               alpha# = 35;
+
+               alpha := 35;
+
                if small:
                        ht# = 0.50 noteheight#;
                else:
                        ht# = 0.80 noteheight#;
                fi;
 
-               draw_diamond_head (ht#, 0, 0, alpha#, false);
-
-               if stropha:
-                       pickup pencircle
-                               xscaled (0.25*head_height)
-                               yscaled (0.55*head_height)
-                               rotated alpha#;
-                       save za, off_angle; pair za;
-                       off_angle := 15;
-                       za = (0, -0.25*head_height)
-                               rotated -(alpha# + off_angle)
-                               shifted (0.48 head_width, -0.02 head_width);
-                       undrawdot za;
+               draw_diamond_head (ht#, 0, 0, alpha, false);
+
+               save off_angle;
+
+               off_angle := alpha + 15;
+
+               save stropha_ellipse, auctum_hook, circle;
+               path stropha_ellipse, auctum_hook, circle;
+
+               circle := reverse fullcircle scaled linethickness;
+
+               stropha_ellipse := fullcircle xscaled 0.25 head_height
+                                             yscaled 0.55 head_height
+                                             rotated alpha;
+
+               z11 = z12
+                     + linethickness / 2 * dir (180 - off_angle)
+                     - directionpoint dir (90 - off_angle)
+                         of stropha_ellipse;
+               z12 = directionpoint -dir (90 - off_angle) of diamond_shape +
+                       linethickness / 2 * dir (180 - off_angle);
+               z13 = (0, -0.5 head_height + linethickness);
+
+               auctum_hook := z12{-dir (90 - off_angle)}
+                              .. {dir (90 + alpha)}z13;
+
+               labels (12);
+
+               if (stropha and not auctum):
+                       clearit;
+
+                       save t_in, t_out;
+
+                       t_in := xpart ((stropha_ellipse shifted z11)
+                                      intersectiontimes
+                                      get_subpath (diamond_shape,
+                                                   left, up,
+                                                   (0, 0)));
+                       t_out := xpart ((stropha_ellipse shifted z11)
+                                       intersectiontimes
+                                       get_subpath (diamond_shape,
+                                                    up, right,
+                                                    (0, 0)));
+
+                       % the addition or subtraction of `1' is necessary
+                       % so that we get the right starting point
+                       fill get_subpath_i (diamond_shape,
+                                           dir (angle (z2 - z1) - 1),
+                                           dir (angle (z1 - z4) + 1),
+                                           (0, 0))
+                            -- get_subpath (stropha_ellipse,
+                                            direction t_in of stropha_ellipse,
+                                            direction t_out of stropha_ellipse,
+                                            z11)
+                            -- cycle;
+
+                       labels (11);
                fi;
 
-               if auctum:
-                       pickup pencircle scaled linethickness;
-                       save za, zb, zc;
-                       pair za, zb, zc;
-                       za = (0, -0.5 head_height + linethickness);
-                       zb = 0.6 (za + zc);
-                       zc = za + (0.52 head_width, 0);
-                       draw za{(0,-1) rotated alpha#} .. {right}zb{right} ..
-                            {(0,1) rotated -alpha#}zc;
+               if (auctum and not stropha):
+                       clearit;
+
+                       fill get_subpath (diamond_shape,
+                                         left,
+                                         -dir (90 - off_angle),
+                                         (0, 0))
+                            .. get_subpath (circle,
+                                            dir (90 + alpha),
+                                            -dir (90 + alpha),
+                                            z13)
+                            .. get_subpath (circle,
+                                            dir (90 - off_angle),
+                                            right,
+                                            z12)
+                            -- cycle;
+
+                       labels (13);
+               fi;
+
+               if (auctum and stropha):
+                       clearit;
+
+                       save t;
+
+                       t := xpart ((stropha_ellipse shifted z11)
+                                   intersectiontimes
+                                   get_subpath (diamond_shape, up, right,
+                                                (0, 0)));
+
+                       % the addition or subtraction of `1' is necessary
+                       % so that we get the right starting point
+                       fill get_subpath_i (diamond_shape,
+                                           dir (angle (z2 - z1) - 1),
+                                           -dir (90 - off_angle),
+                                           (0, 0))
+                            .. get_subpath (circle,
+                                            dir (90 + alpha),
+                                            -dir (90 + alpha),
+                                            z13)
+                            .. get_subpath (stropha_ellipse,
+                                            dir (90 - off_angle),
+                                            direction t of stropha_ellipse,
+                                            z11)
+                            -- cycle;
+
+                       labels (11, 13);
                fi;
        fet_endchar;
 enddef;
 
+
 % punctum
-punctum_char ("Ed. Vat. punctum", "vaticana.punctum",
-             false, false, false, false, false,
-             false, false, false, false, false, false, 1.0);
+vat_punctum_char ("Ed. Vat. punctum", "vaticana.punctum",
+                 false, false, false, false,
+                 false, false, false, 1.0);
+
 
 % punctum cavum (for OpusTeX compatibility)
-punctum_char ("Ed. Vat. punctum cavum", "vaticana.punctum.cavum",
-             false, false, false, true, false,
-             false, false, false, false, false, false, 1.0);
+vat_punctum_char ("Ed. Vat. punctum cavum", "vaticana.punctum.cavum",
+                 false, true, false, false,
+                 false, false, false, 1.0);
+
 
 % linea punctum (for OpusTeX compatibility)
-punctum_char ("Ed. Vat. linea punctum", "vaticana.linea.punctum",
-             false, false, true, false, false,
-             false, false, false, false, false, false, 1.0);
+vat_punctum_char ("Ed. Vat. linea punctum", "vaticana.linea.punctum",
+                 true, false, false, false,
+                 false, false, false, 1.0);
+
 
 % linea punctum cavum (for OpusTeX compatibility)
-punctum_char ("Ed. Vat. linea punctum cavum", "vaticana.linea.punctum.cavum",
-             false, false, true, true, false,
-             false, false, false, false, false, false, 1.0);
+vat_punctum_char ("Ed. Vat. linea punctum cavum", "vaticana.linea.punctum.cavum",
+                 true, true, false, false,
+                 false, false, false, 1.0);
+
 
 % punctum inclinatum
 inclinatum_char ("Ed. Vat. inclinatum", "vaticana.inclinatum",
                 false, false, false);
 
+
 % pes lower punctum
-punctum_char ("Ed. Vat. pes lower punctum", "vaticana.lpes",
-             false, false, false, false, true,
-             false, false, true, false, false, false, 1.0);
+vat_punctum_char ("Ed. Vat. pes lower punctum", "vaticana.lpes",
+                 false, false, true, false,
+                 true, false, false, 1.0);
+
 
 % pes lower punctum
-punctum_char ("Ed. Vat. pes var lower punctum", "vaticana.vlpes",
-             false, false, false, false, true,
-             false, false, true, false, false, true, 1.0);
+vat_punctum_char ("Ed. Vat. pes var lower punctum", "vaticana.vlpes",
+                 false, false, true, false,
+                 true, false, true, 1.0);
+
 
 % pes upper punctum
-punctum_char ("Ed. Vat. pes upper punctum", "vaticana.upes", 
-             false, false, false, false, true,
-             false, false, false, false, false, false, 1.0);
+vat_punctum_char ("Ed. Vat. pes upper punctum", "vaticana.upes", 
+                 false, false, true, false,
+                 false, false, false, 1.0);
+
 
 % pes upper punctum (shifted variation)
 %
@@ -842,24 +1098,26 @@ punctum_char ("Ed. Vat. pes upper punctum", "vaticana.upes",
 % 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", "vaticana.vupes",
-             false, false, false, false, true,
-             false, false, false, false, true, false, 1.0);
+vat_punctum_char ("Ed. Vat. var pes upper punctum", "vaticana.vupes",
+                 false, false, true, false,
+                 false, true, false, 1.0);
+
 
 % small punctum as used in epiphonus
-punctum_char ("Ed. Vat. plica", "vaticana.plica", 
-             false, false, false, false, false,
-             false, false, false, false, false, false, 0.6);
+vat_punctum_char ("Ed. Vat. plica", "vaticana.plica", 
+                 false, false, false, false,
+                 false, false, false, 0.6);
+
 
 % small punctum as used in epiphonus
-punctum_char ("Ed. Vat. var plica", "vaticana.vplica", 
-             false, false, false, false, false,
-             false, true, false, false, false, true, 0.6);
+plica_char ("Ed. Vat. var plica", "vaticana.vplica", 
+           false, 0.6);
+
 
 % eccentric punctum as used in epiphonus
-punctum_char ("Ed. Vat. epiphonus", "vaticana.epiphonus", 
-             false, false, false, false, false,
-             false, false, true, true, false, false, 1.0);
+epiphonus_char ("Ed. Vat. epiphonus", "vaticana.epiphonus", 
+               false, true, false, 1.0);
+
 
 % eccentric punctum as used in epiphonus (shifted variation)
 %
@@ -867,113 +1125,188 @@ punctum_char ("Ed. Vat. epiphonus", "vaticana.epiphonus",
 % avoid collision with the plica head when the plica sits directly on
 % top of the lower head.
 %
-punctum_char ("Ed. Vat. var epiphonus", "vaticana.vepiphonus",
-             false, false, false, false, false,
-             false, false, true, true, false, true, 1.0);
+epiphonus_char ("Ed. Vat. var epiphonus", "vaticana.vepiphonus",
+               false, true, true, 1.0);
+
 
 % small punctum as used in cephalicus
-punctum_char ("Ed. Vat. rev. plica", "vaticana.reverse.plica",
-             false, false, false, false, false,
-             false, false, true, false, false, false, 0.6);
+vat_punctum_char ("Ed. Vat. rev. plica", "vaticana.reverse.plica",
+                 false, false, false, false,
+                 true, false, false, 0.6);
+
 
 % small punctum as used in cephalicus
-punctum_char ("Ed. Vat. rev. var plica", "vaticana.reverse.vplica",
-             false, false, false, false, false,
-             false, true, true, false, false, true, 0.6);
+plica_char ("Ed. Vat. rev. var plica", "vaticana.reverse.vplica",
+           true, 0.6);
+
 
 % eccentric punctum as used in cephalicus; without left stem
-punctum_char ("Ed. Vat. cephalicus", "vaticana.inner.cephalicus",
-             false, false, false, false, false,
-             false, false, false, true, false, false, 1.0);
+epiphonus_char ("Ed. Vat. inner cephalicus", "vaticana.inner.cephalicus",
+               false, false, false, 1.0);
+
 
 % eccentric punctum as used in cephalicus; with left stem
-punctum_char ("Ed. Vat. cephalicus", "vaticana.cephalicus",
-             true, false, false, false, false,
-             false, false, false, true, false, false, 1.0);
+epiphonus_char ("Ed. Vat. cephalicus", "vaticana.cephalicus",
+               true, false, false, 1.0);
+
 
 % quilisma
-fet_beginchar ("Ed. Vat. quilisma", "svaticana.quilisma")
+fet_beginchar ("Ed. Vat. quilisma", "svaticana.quilisma");
        save a_b, b_h, a_w;
 
-       a_b:=1.54; % b_h*a_b/a_w = wd/ht
-       b_h:=0.85;
-       a_w:=1.09;
+       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#;
-       2 beta# = ht# * b_h;
-       a# = beta#*a_b;
-       wd# = 2 a# / a_w;
+       2 beta = ht# * b_h;
+       a = beta * a_b;
+       wd# = 2 a / a_w;
+
        set_char_box (0, 0.42 wd#, 0.28 ht#, 0.36 ht#);
+
        black_notehead_width# := wd#;
 
        define_pixels (ht, wd);
-       pickup pencircle xscaled linethickness yscaled 0.44 ht;
-       lft x1 = 0.00 wd; bot y1 = -0.28 ht;
-       x2 = 0.11 wd;     y2 = -0.14 ht;
-       x3 = 0.12 wd;     y3 = +0.03 ht;
-       x4 = 0.25 wd;     y4 = -0.09 ht;
-       x5 = 0.26 wd;     y5 = +0.08 ht;
-       x6 = 0.40 wd;     y6 = -0.04 ht;
-       rt x7 = 0.42 wd;  top y7 = +0.36 ht;
-       draw z1 .. z2 -- z3 .. z4 -- z5 .. z6 -- z7;
+
+       save ellipse, T;
+       path ellipse;
+       transform T;
+
+       T := identity xscaled linethickness
+                     yscaled 0.44 ht;
+       pickup pencircle transformed T;
+       ellipse := reverse fullcircle transformed T;
+
+       z1 = (rt 0.00 wd, top -0.28 ht);
+       z2 = (0.11 wd, -0.14 ht);
+       z3 = (0.12 wd, +0.03 ht);
+       z4 = (0.25 wd, -0.09 ht);
+       z5 = (0.25 wd, +0.08 ht);
+       z6 = (lft 0.42 wd, -0.04 ht);
+       z7 = (lft 0.40 wd, bot +0.36 ht);
+
+       fill get_subpath (ellipse, z1 - z2, z2 - z1, z1)
+            -- get_subpath (ellipse, z2 - z1, z1 - z2, z2)
+            -- cycle;
+       fill get_subpath (ellipse, z3 - z4, z4 - z3, z3)
+            -- get_subpath (ellipse, z4 - z3, z3 - z4, z4)
+            -- cycle;
+       fill get_subpath (ellipse, z5 - z6, z6 - z5, z5)
+            -- point 0 of get_subpath (ellipse, z6 - z5, z5 - z6, z6)
+            -- get_subpath (ellipse, z7 - z6, z6 - z7, z7)
+            -- get_subpath (ellipse, z6 - z7, z5 - z6, z6)
+            -- cycle;
+
+       labels (1, 2, 3, 4, 5, 6, 7);
 fet_endchar;
 
+
 % solesmes punctum inclinatum parvum
 inclinatum_char ("Solesmes punctum inclinatum parvum", "solesmes.incl.parvum",
                 true, false, false);
 
+
 % solesmes punctum auctum ascendens
-punctum_char ("Solesmes punctum auctum ascendens", "solesmes.auct.asc",
-             false, false, false, false, false,
-             true, false, true, false, false, false, 1.0);
+vat_punctum_char ("Solesmes punctum auctum ascendens", "solesmes.auct.asc",
+                 false, false, false, true,
+                 true, false, false, 1.0);
+
 
 % solesmes punctum auctum descendens
-punctum_char ("Solesmes punctum auctum descendens", "solesmes.auct.desc",
-             false, false, false, false, false,
-             true, false, false, false, false, false, 1.0);
+vat_punctum_char ("Solesmes punctum auctum descendens", "solesmes.auct.desc",
+                 false, false, false, true,
+                 false, false, false, 1.0);
+
 
 % solesmes punctum inclinatum auctum
 inclinatum_char ("Solesmes punctum incl. auctum", "solesmes.incl.auctum",
                 false, false, true);
 
+
 % solesmes stropha
 inclinatum_char ("Solesmes stropha", "solesmes.stropha",
                 false, true, false);
 
+
 % solesmes stropha aucta
 inclinatum_char ("Solesmes stropha aucta", "solesmes.stropha.aucta",
                 false, true, true);
 
+
 % solesmes oriscus
-fet_beginchar ("Solesmes oriscus", "ssolesmes.oriscus")
+fet_beginchar ("Solesmes oriscus", "ssolesmes.oriscus");
        save a_b, b_h, a_w;
 
-       a_b := 1.54; % b_h*a_b/a_w = wd/ht
+       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#;
-       2 beta# = ht# * b_h;
-       a# = beta# * a_b;
-       wd# = 2 a# / a_w;
+       2 beta = ht# * b_h;
+       a = beta * a_b;
+       wd# = 2 a / a_w;
        black_notehead_width# := wd#;
 
        save convexity;
+
        convexity# = +0.05 ht#;
 
        define_pixels (ht, wd, convexity);
-       pickup pencircle xscaled blot_diameter yscaled 0.50 ht;
-       lft x1 = 0.00 wd; y1 = -convexity;
-       x2 = 0.16 wd;     y2 = +convexity;
-       x3 = 0.33 wd;     y3 = -convexity;
-       rt x4 = 0.50 wd;  y4 = +convexity;
-       draw z1 .. z2 .. z3 .. z4;
+
        set_char_box (0.00 wd#, 0.50 wd#,
                      0.25 ht# + convexity#, 0.25 ht# + convexity#);
+
+       z1 = (0.00 wd + blot_diameter / 2, -convexity);
+       z2 = (1/6 wd, +convexity);
+       z3 = (2/6 wd, -convexity);
+       z4 = (0.50 wd - blot_diameter / 2, +convexity);
+
+
+       save height;
+
+       height = 2 ypart (directionpoint right of (z1
+                                                  .. z2
+                                                  .. z3
+                                                  .. z4));
+
+       save ellipse, T;
+       path ellipse;
+       transform T;
+
+       T := identity xscaled blot_diameter
+                     yscaled (h + d - height);
+       pickup pencircle transformed T;
+       ellipse := fullcircle transformed T;
+
+       % Adjust vertical coordinates to touch bounding box.
+       y1 := top -d;
+       y4 := bot h;
+
+       save d_;
+       pair d_;
+
+       d_ := direction 0 of (z1
+                             .. z2
+                             .. z3
+                             .. z4);
+
+       fill get_subpath (ellipse, -d_, d_, z1)
+            .. bot z2
+            .. bot z3
+            .. get_subpath (ellipse, d_, -d_, z4)
+            .. top z3
+            .. top z2
+            .. cycle;
+
+       labels (1, 2, 3, 4);
 fet_endchar;
 
+
 %%%%%%%%
 %
 %
@@ -984,16 +1317,15 @@ fet_endchar;
 %
 
 % inclinatum
-fet_beginchar ("Ed. Med. inclinatum", "smedicaea.inclinatum")
+fet_beginchar ("Ed. Med. inclinatum", "smedicaea.inclinatum");
        draw_diamond_head (1.2 staff_space#, 0, 0, 35, false);
 fet_endchar;
 
 
-% parametrized punctum
-def punctum_char (expr verbose_name, internal_name,
-                      left_up_stem, left_down_stem) =
+def med_punctum_char (expr verbose_name, internal_name,
+                          left_up_stem, left_down_stem) =
        fet_beginchar (verbose_name, "s" & internal_name);
-               save a, beta, ht, wd;
+               save a, ht, wd;
 
                ht# = 2 staff_space#;
                wd# = ht#;
@@ -1001,33 +1333,52 @@ def punctum_char (expr verbose_name, internal_name,
 
                define_pixels (ht, wd);
 
-               pickup pencircle xscaled blot_diameter
-                                yscaled 0.50 ht;
+               save ellipse;
+               path ellipse;
+
+               ellipse := fullcircle xscaled blot_diameter
+                                     yscaled 0.50 ht;
 
                z1 = (0.00 wd + blot_diameter / 2, 0);
                z2 = (0.4 wd - blot_diameter / 2, 0);
 
-               draw z1
-                    .. z2;
+               labels (1, 2);
 
-               pickup pencircle xscaled linethickness
-                                yscaled blot_diameter;
+               pickup pencircle scaled linethickness;
 
                if left_down_stem:
-                       z4 = (0.00 wd + linethickness / 2, blot_diameter / 2);
-                       z5 = (0.00 wd + linethickness / 2, -1.25 ht);
+                       z4 = (0.00 wd + linethickness / 2, -1.25 ht);
+
+                       fill get_subpath (ellipse, left, down, z1)
+                            -- top lft z4{down}
+                            .. z4{right}
+                            .. top rt z4{up}
+                            -- (rt x4, -.5 ht / 2)
+                            -- get_subpath (ellipse, right, left, z2)
+                            -- cycle;
+
+                       labels (4);
 
-                       draw z4
-                            .. z5;
                        set_char_box (0.0, 0.4 wd#, 1.25 ht#, 0.25 ht#);
                elseif left_up_stem:
-                       z4 = (0.00 wd + linethickness / 2, blot_diameter / 2);
-                       z5 = (0.00 wd + linethickness / 2, +1.25 ht);
+                       z4 = (0.00 wd + linethickness / 2, +1.25 ht);
+
+                       fill get_subpath (ellipse, down, right, z1)
+                            -- get_subpath (ellipse, right, left, z2)
+                            -- (rt x4, .5 ht / 2)
+                            -- bot rt z4{up}
+                            .. z4{left}
+                            .. bot lft z4{down}
+                            -- cycle;
+
+                       labels (4);
 
-                       draw z4
-                            .. z5;
                        set_char_box (0.0, 0.4 wd#, 0.25 ht#, 1.25 ht#);
                else:
+                       fill get_subpath (ellipse, left, right, z1)
+                            -- get_subpath (ellipse, right, left, z2)
+                            -- cycle;
+
                        set_char_box (0.0, 0.4 wd#, 0.25 ht#, 0.25 ht#);
                fi;
 
@@ -1036,18 +1387,19 @@ enddef;
 
 
 % punctum
-punctum_char ("Ed. Med. punctum", "medicaea.punctum", 
-             false, false);
+med_punctum_char ("Ed. Med. punctum", "medicaea.punctum", 
+                 false, false);
 
 
 % left up-stemmed punctum
-punctum_char ("Ed. Med. reverse virga", "medicaea.rvirga",
-             true, false);
+med_punctum_char ("Ed. Med. reverse virga", "medicaea.rvirga",
+                 true, false);
 
 
 % virga (i.e. left down-stemmed punctum)
-punctum_char ("Ed. Med. virga", "medicaea.virga", 
-             false, true);
+med_punctum_char ("Ed. Med. virga", "medicaea.virga", 
+                 false, true);
+
 
 %%%%%%%%
 %
@@ -1058,60 +1410,83 @@ punctum_char ("Ed. Med. virga", "medicaea.virga",
 %
 %
 
-% punctum
-% parametrized punctum
-def punctum_char (expr verbose_name, internal_name,
-                      down_stem) =
+def huf_punctum_char (expr verbose_name, internal_name,
+                          down_stem) =
        fet_beginchar (verbose_name, "s" & internal_name);
                save alpha;
 
-               alpha# = 55;
-               draw_diamond_head (staff_space#, 0, 0, alpha#, false);
-               if down_stem:
-                       pickup pencircle xscaled blot_diameter
-                                        yscaled 0.7 staff_space
-                                        rotated -alpha#;
-
-                       save za, zb;
-                       pair za, zb;
+               alpha = 55;
 
-                       za = (head_width / 2, 0);
-                       bot zb = (head_width / 2, -1.5 staff_space);
+               draw_diamond_head (staff_space#, 0, 0, alpha, false);
 
-                       draw za
-                            -- zb;
+               if down_stem:
                        set_char_box (0, head_width#,
                                      1.5 staff_space#, head_height# / 2);
+
+                       save ellipse;
+                       path ellipse;
+
+                       ellipse := reverse fullcircle xscaled blot_diameter
+                                                     yscaled 0.7 staff_space
+                                                     rotated -alpha;
+
+                       z11 = (head_width / 2, 0);
+                       z12 = find_tangent_shift (((0, -d) -- (w, -d)), ellipse,
+                                                 (w / 2, -d), (w / 2, 0));
+
+                       fill get_subpath (ellipse, up, down, z11)
+                            -- get_subpath (ellipse, down, up, z12)
+                            -- cycle;
+
+                       labels (11, 12);
                fi;
        fet_endchar;
 enddef;
 
+
 % punctum
-punctum_char ("Hufnagel punctum", "hufnagel.punctum", false)
+huf_punctum_char ("Hufnagel punctum", "hufnagel.punctum", false)
+
 
 % virga
-punctum_char ("Hufnagel virga", "hufnagel.virga",  true)
+huf_punctum_char ("Hufnagel virga", "hufnagel.virga", true)
+
 
 % pes lower punctum
 fet_beginchar ("Hufnagel pes lower punctum", "shufnagel.lpes")
        save width, height, alpha;
-       width# = 2*staff_space#;
-       height# = 0.7*staff_space#;
-       alpha# = 35;
 
-       set_char_box (0, width#, height#/2, height#/2);
+       width# = 2 * staff_space#;
+       height# = 0.7 * staff_space#;
+       alpha = 35;
+
+       set_char_box (0, width#, height# / 2, height# / 2);
 
-       pickup pencircle scaled linethickness;
        define_pixels (width, height);
 
-       rt x3 = -lft x1 = width/2;
-       y2 = y3 = height/2;
-       y1 = y4 = -height/2;
-       tand (alpha#) * (y2 - y1) = x2 - x1 = x3 - x4;
+       save circle;
+       path circle;
 
-       filldraw z1 -- z2 -- z3 -- z4 -- cycle;
+       circle := reverse fullcircle scaled linethickness;
+
+       pickup pencircle scaled linethickness;
+
+       rt x3 = -lft x1 = width / 2;
+       y2 = y3 = height / 2;
+       y1 = y4 = -height / 2;
+
+       tand (alpha) * (y2 - y1) = x2 - x1 = x3 - x4;
+
+       fill get_subpath (circle, left, z2 - z1, z1)
+            -- get_subpath (circle, z2 - z1, right, z2)
+            -- get_subpath (circle, right, z4 - z3, z3)
+            -- get_subpath (circle, z4 - z3, left, z4)
+            -- cycle;
 
        currentpicture := currentpicture shifted (width/2, 0);
+
+%      labels (1, 2, 3, 4);
 fet_endchar;
 
-fet_endgroup ("noteheads")
+
+fet_endgroup ("noteheads");