X-Git-Url: https://git.donarmstrong.com/?a=blobdiff_plain;f=mf%2Fparmesan-heads.mf;h=6aadef228994230d6192e018b6ec3ee6ddd53efe;hb=c8f35b49edadbef240fe3ad4931a6c9f526cc6d6;hp=33aeea3091b00b0058d6f301fce16ebed5d09020;hpb=b02bb98ffea2c376ba67eb049b8ba6b04d76e084;p=lilypond.git

diff --git a/mf/parmesan-heads.mf b/mf/parmesan-heads.mf
index 33aeea3091..6aadef2289 100644
--- a/mf/parmesan-heads.mf
+++ b/mf/parmesan-heads.mf
@@ -1,9 +1,12 @@
-% -*-Fundamental-*-
+% -%-Fundamental-%- -*-Metafont-*-
 % parmesan-heads.mf -- implement ancient note heads
 % 
 % source file of LilyPond's pretty-but-neat music font
 % 
-% (c) 2001--2002 Juergen Reuter <reuter@ipd.uka.de>
+% (c) 2001--2006 Juergen Reuter <reuter@ipd.uka.de>
+% 
+% Neo-mensural heads originally by
+% Christian Mondrup and Mats Bengtsson
 % 
 
 save black_notehead_width;
@@ -11,8 +14,30 @@ numeric black_notehead_width;
 
 fet_begingroup ("noteheads")
 
-noteheight#:=staff_space# + (1 + overdone_heads)*stafflinethickness#;
-define_pixels(noteheight);
+%
+% character aligment:
+%
+%   The head is assumed to be vertically centered around (0, 0).
+%   The left-most edge of the head should touch the vertical line
+%   that goes though the point (0, 0).
+%
+% set_char_box() conventions:
+%
+% * breapth: Ignored (as far as I know).  Should be set to 0.
+%
+% * width: Should match the head's width.
+%
+% * depth: Should match the bottom edge of the head.  Affects vertical
+%   collision handling.
+%
+% * height: Should match the top edge of the head.  Affects vertical
+%   collision handling.
+%
+% TODO: should depth/height include appendages/stems?
+
+overdone_heads = 0;
+noteheight# := staff_space# + (1 + overdone_heads) * stafflinethickness#;
+define_pixels (noteheight);
 
 
 %%%%%%%%
@@ -23,9 +48,8 @@ define_pixels(noteheight);
 %
 %
 %
-brevis_wid# := 2 staff_space#;
 
-def draw_brevis(expr brevwid) =
+def draw_neomensural_brevis (expr brevwid) =
 	save beamheight, head_width;
 	save holeheight, stem_width;
 	save serif_size, serif_protrude;
@@ -34,220 +58,501 @@ def draw_brevis(expr brevwid) =
 	holeheight = 3 stafflinethickness;
 	stem_width = 1.4 stafflinethickness;
 
+	define_pixels (head_width);
 
-	define_pixels(head_width);
-	set_char_box(0, head_width#, noteheight#/2, noteheight#/2);
+	set_char_box (0, head_width#,
+		      noteheight# / 2, noteheight# / 2);
 	
 	2 beamheight + holeheight = noteheight;
-	serif_size = (holeheight - stafflinethickness)/2;
+	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);
+	z2l = (0, -stafflinethickness / 2);
+	z3r = z2r + serif_size * (1, -1);
 	y4r = y3r;
-	x4r = head_width/2;
+	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;
+	penpos1 (stem_width, 0);
+	penpos2 (stem_width, 0);
+	penpos3 (beamheight, 90);
+	penpos4 (beamheight, 90);
+	penpos5 (stem_width, 180);
+
+	save pat_in, pat_out;
+	path pat_in, pat_out;
+
+	pat_out := z4l
+		   -- z3l{left}
+		   .. z5l{down}
+		   .. z5r{up}
+		   -- z1l;
+	pat_out := pat_out
+		   -- reverse pat_out yscaled -1;
+	pat_out := pat_out
+		   -- reverse pat_out shifted (-x4r, 0)
+				      xscaled -1
+				      shifted (x4l, 0)
+		   -- cycle;
+	fill pat_out;
+
+	pat_in := z4r
+		  -- z3r{left}
+		  .. z2r{up}
+		  -- z1r;
+	pat_in := pat_in
+		  -- reverse pat_in yscaled -1;
+	pat_in := pat_in
+		  -- reverse pat_in shifted (-x4r, 0)
+				    xscaled -1
+				    shifted (x4l, 0)
+		  -- cycle;
+	unfill pat_in;
+
+	penlabels (1, 2, 3, 4, 5);
+enddef;
+
+
+%%% This head does not seem to be used anywhere.  Junk me?  -- jr
+def draw_neomensural_left_stemmed_head (expr wid) =
+	draw_neomensural_brevis (wid);
+
+	x6 = x7 = stem_width / 2;
+	y6 = y5;
+	y7 = y5 - 2.25 staff_space;
+
+	z17 = (x7, y7 - stem_width / 2);
+
+	penpos6 (stem_width, 0);
+	penpos7 (stem_width, 0);
 
-	addto currentpicture also currentpicture yscaled -1;
-	show z4r; show z4l;
-	addto currentpicture also currentpicture 
-		shifted (-x4r,0) xscaled -1 shifted (x4l,0);
+	fill z7l
+	     -- z6l
+	     -- z6r
+	     -- z7r
+	     .. z17
+	     .. cycle;
 
+	penlabels (6, 7);
+	labels (17);
+enddef;
+
+
+%%% This head does not seem to be used anywhere.  Junk me?  -- jr
+fet_beginchar ("Left stemmed notehead", "slneomensural");
+	draw_neomensural_left_stemmed_head (2 staff_space#);
+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.
+% Some sources (eg. Musix/OpusTeX) think that the appendage should be on
+% the left, some say right.  Right wins democratically.
 %
-def draw_neo_longa (expr wid) =
-	draw_brevis(wid);
+def draw_neomensural_longa (expr wid) =
+	draw_neomensural_brevis (wid);
+
 	save theta;
 
 	x7r = head_width;
 	y7 = y5;
-%	z7 = z5;
-	z6 - z7 = (stem_width/2, -staff_space);
-	theta = angle(z6-z7)+ 90;
-	penpos7(stem_width, theta);
-	penpos6(1.2 stem_width, theta);
+	z6 - z7 = (stem_width / 2, -staff_space);
+	theta = angle (z6 - z7) + 90;
+
+	penpos7 (stem_width, 0);
+	penpos6 (1.2 stem_width, theta);
 	
-	fill z7r .. z6r{z6-z7} .. {z7-z6} z6l -- z7l -- cycle;
-	penlabels(6,7);
+	z7' = find_tangent (z6l, pat_out,
+			    (x7l + 0.5 stem_width, y7l),
+			    (x7l - 0.5 stem_width, y7l));
+
+	fill z7r
+	     .. z6r{z6 - z7}
+	     .. {z7 - z6}z6l
+	     -- z7'
+	     -- cycle;
+
+	penlabels (6, 7);
+	labels (7');
 enddef;
 
+
 %
 % En wij presenteren U: de opvolgster van Emily
 %
 % (ze is wel breed)
 % 
-fet_beginchar("Maxima notehead", "-3neo_mensural", "mensuralmaximahead");
-	draw_neo_longa (1.3 brevis_wid#)
+fet_beginchar ("Neo-mensural maxima notehead", "s-3neomensural");
+	draw_neomensural_longa (2.6 staff_space#);
 fet_endchar;
 
-fet_beginchar("Longa notehead", "-2neo_mensural", "mensurallongahead");
-	draw_neo_longa (brevis_wid#)
+
+fet_beginchar ("Neo-mensural longa notehead", "s-2neomensural");
+	draw_neomensural_longa (2 staff_space#);
 fet_endchar;
 
-fet_beginchar("Brevis notehead", "-1neo_mensural", "mensuralbrevishead")
-	draw_brevis(brevis_wid#);
+
+fet_beginchar ("Neo-mensural brevis notehead", "s-1neomensural");
+	draw_neomensural_brevis (2 staff_space#);
 fet_endchar;
 
-def draw_neo_mensural_black_head (expr wid) =
+
+def draw_neomensural_black_head (expr wid, height) =
 	save head_width;
+	save ne, nw, ne_dist, nw_dist;
+	pair ne, nw, ne_dist, nw_dist;
+
 	head_width# = wid;
-	set_char_box (0, head_width#, noteheight#/2, noteheight#/2);
 
+	set_char_box (0, head_width#,
+		      height / 2, height / 2);
+	
+	charwx := head_width# / 2;
+	charwy := height / 2;
+
+	y3 = y1 = 0;
+	x2 = x4 = (x1 + x3) / 2;
 
-	y3 = y1 =0;
-	x2 = x4 = (x1 + x3) /2;
-	define_pixels (head_width);
 	pickup pencircle scaled blot_diameter;
+
 	top y2 = h;
 	bot y4 = -d;
 	lft x1 = 0;
 	rt x3 = w;
 
-	filldraw z1 -- z2 -- z3 -- z4 -- cycle;
+	ne := unitvector (z2 - z1);
+	nw_dist := (ne rotated 90) * 0.5 blot_diameter;
+	nw := unitvector (z2 - z3);
+	ne_dist := (nw rotated -90) * 0.5 blot_diameter;
+
+	fill lft z1{up}
+	     .. (z1 + nw_dist){ne}
+	     -- (z2 + nw_dist){ne}
+	     .. top z2{right}
+	     .. (z2 + ne_dist){-nw}
+	     -- (z3 + ne_dist){-nw}
+	     .. rt z3{down}
+	     .. (z3 - nw_dist){-ne}
+	     -- (z4 - nw_dist){-ne}
+	     .. bot z4{left}
+	     .. (z4 - ne_dist){nw}
+	     -- (z1 - ne_dist){nw}
+	     .. cycle;
+
+	labels (1, 2, 3, 4);
 enddef;
 
-def draw_neo_mensural_open_head (expr wid)=
-	draw_neo_mensural_black_head (wid);
+
+def draw_neomensural_open_head (expr wid, height)=
+	draw_neomensural_black_head (wid, height);
+
 	save diamNW, diamSW;
+
 	diamNW = length (z2 - z1) + blot_diameter;
 	diamSW = length (z4 - z1) + blot_diameter;
 	
 	save hole_widthNW, hole_widthSW;
+
 	hole_widthNW = 0.34 diamNW ;
-	hole_widthSW + 2.6 stafflinethickness = diamSW;
+	hole_widthSW + 2.6 linethickness = diamSW;
 
-	(z7 + z5)/2 = (w/2, 0);
-	(z8 + z6)/2 = (w/2, 0);
-	(z6 - z5) = hole_widthNW * unitvector (z2 - z1);
-	(z7 - z6) = hole_widthSW * unitvector (z4 - z1);
+	(z7 + z5) / 2 = (w / 2, 0);
+	(z8 + z6) / 2 = (w / 2, 0);
+	z6 - z5 = hole_widthNW * unitvector (z2 - z1);
+	z7 - z6 = hole_widthSW * unitvector (z4 - z1);
 
-	labels (1,2,3,4,5,6,7,8);
+	unfill z5
+	       -- z6
+	       -- z7
+	       -- z8
+	       -- cycle;
 
-	unfill z5 -- z6 -- z7 -- z8 --cycle;
+	labels (5, 6, 7, 8);
 enddef;
 
-fet_beginchar("Neo-mensural open head","0neo_mensural","neomensuralsemibrevishead")
-      draw_neo_mensural_open_head (staff_space#);
+
+%
+% WL says the thin lines should be thinner.
+%
+fet_beginchar ("Harmonic notehead (Neo-mensural open)", "s0harmonic");
+	draw_neomensural_open_head (1.3 staff_space#, 1.3 noteheight#);
+	charwx := head_width#;
+	charwy := 0;
 fet_endchar;
 
-fet_beginchar("Neo-mensural open head","1neo_mensural","neomensuralminimahead")
-      draw_neo_mensural_open_head (staff_space#);
+
+fet_beginchar ("Harmonic notehead (Neo-mensural black)", "s2harmonic");
+	draw_neomensural_black_head (1.3 staff_space#, 1.3 noteheight#);
+	charwx := head_width#;
+	charwy := 0;
 fet_endchar;
 
-fet_beginchar("Neo-mensural black head","2neo_mensural","neomensuralsemiminimahead")
-      draw_neo_mensural_black_head (staff_space#);
+
+fet_beginchar ("Neo-mensural semibrevis head", "s0neomensural");
+	draw_neomensural_open_head (staff_space#, noteheight#);
 fet_endchar;
 
 
-brevis_wid# := 1 staff_space#;
+fet_beginchar ("Neo-mensural minima head", "s1neomensural");
+	draw_neomensural_open_head (staff_space#, noteheight#);
+fet_endchar;
 
-def draw_longa (expr wid) =
-	draw_brevis(wid);
-	save theta;
 
-	x6 = x7 = head_width - stem_width/2;
+fet_beginchar ("Neo-mensural semiminima head", "s2neomensural");
+	draw_neomensural_black_head (staff_space#, noteheight#);
+fet_endchar;
+
+
+def draw_mensural_brevis (expr wid) =
+	% TODO.  For the moment, fall back to draw_neomensural_brevis.
+	draw_neomensural_brevis (wid);
+enddef;
+
+
+%%% This head does not seem to be used anywhere.  Junk me?  -- jr
+def draw_mensural_left_stemmed_head (expr wid) =
+	draw_mensural_brevis (wid);
+
+	x6 = x7 = stem_width / 2;
 	y6 = y5;
-	y7 = y5 - 2.25staff_space;
-	pickup pencircle scaled stem_width;
-	draw z6 .. z7;
+	y7 = y5 - 2.25 staff_space;
+
+	z17 = (x7, y7 - stem_width / 2);
+
+	penpos6 (stem_width, 0);
+	penpos7 (stem_width, 0);
+
+	fill z7l
+	     -- z6l
+	     -- z6r
+	     -- z7r
+	     .. z17
+	     .. cycle;
+
+	penlabels (6, 7);
+	labels (17);
 enddef;
 
-fet_beginchar("Maxima notehead", "-3mensural", "mensuralmaximahead");
-	draw_longa (2.0 brevis_wid#)
-fet_endchar;
 
-fet_beginchar("Longa notehead", "-2mensural", "mensurallongahead");
-	draw_longa (brevis_wid#)
-fet_endchar;
+def draw_mensural_longa (expr wid) =
+	draw_mensural_brevis (wid);
 
-fet_beginchar("Brevis notehead", "-1mensural", "mensuralbrevishead")
-	draw_brevis(brevis_wid#);
-fet_endchar;
+	x6 = x7 = head_width - stem_width / 2;
+	y6 = y5;
+	y7 = y5 - 2.25 staff_space;
 
-def draw_mensural_head (expr wid, open) =
-      save head_width;
-      head_width# = wid;
-      set_char_box (head_width#/2, head_width#/2,
-		    noteheight#/2, noteheight#/2);
-
-      define_pixels(head_width, noteheight);
-
-      x1 = -x3;
-      y1 = x2 = y3 = x4 = 0;
-      y4 = -y2;
-      y2 = 1.4 noteheight/2;
-      tand(30) = x3 / y2;
-
-      pickup pencircle
-	     xscaled 0.15 head_width
-	     yscaled 0.30 head_width
-	     rotated -30;
-
-      % pencircle width correction
-      save zc, zd; pair zc, zd;
-      zc = (+0.150 head_width * sind(30), +0.150 head_width * cosd(30));
-      zd = (+0.075 head_width * sind(30), -0.075 head_width * cosd(30));
-
-      if open:
-	      draw (z1+zc+zd) -- (z2-zc+zd) --
-		   (z3-zc-zd) -- (z4+zc-zd) -- cycle;
-      else:
-	      filldraw (z1+zc+zd) -- (z2-zc+zd) --
-		       (z3-zc-zd) -- (z4+zc-zd) -- cycle;
-      fi;
+	z17 = (x7, y7 - stem_width / 2);
+
+	penpos6 (stem_width, 0);
+	penpos7 (stem_width, 0);
+
+	fill z7l
+	     -- z6l
+	     -- z6r
+	     -- z7r
+	     .. z17
+	     .. cycle;
+
+	penlabels (6, 7);
+	labels (17);
 enddef;
 
 
-fet_beginchar("Mensural open head","0mensural","mensuralsemibrevishead")
-	draw_mensural_head (staff_space#, true);
+%%% This head does not seem to be used anywhere.  Junk me?  -- jr
+fet_beginchar ("Mensural left stemmed notehead", "slmensural");
+	draw_mensural_left_stemmed_head (staff_space#);
+fet_endchar;
+
+
+fet_beginchar ("Mensural maxima notehead", "s-3mensural");
+	draw_mensural_longa (2.0 staff_space#);
 fet_endchar;
 
-fet_beginchar("Mensural open head","1mensural","mensuralminimahead")
-	draw_mensural_head (staff_space#, true);
+
+fet_beginchar ("Mensural longa notehead", "s-2mensural");
+	draw_mensural_longa (staff_space#);
 fet_endchar;
 
-fet_beginchar("Mensural black head","2mensural","mensuralsemiminimahead")
-	draw_mensural_head (staff_space#, false);
+
+fet_beginchar ("Mensural brevis notehead", "s-1mensural");
+	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.
 %
-% ledger (leger) lines
+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;
+
+
 %
+% Get subpath specified by `dir_in' and `dir_out' of `curve'
+% which is then shifted by `offset'.  Assure that result has
+% the same orientation as `curve'.
 %
-fet_beginchar("Ledger ending", "ledgerending", "ledgerending")
-set_char_box (5/2 ledgerlinethickness#, 5/2 ledgerlinethickness#,
-  		ledgerlinethickness#/2,ledgerlinethickness#/2);
-	pickup pencircle scaled 1.3 blot_diameter;
+def get_subpath (expr curve, dir_in, dir_out, offset) =
+	begingroup;
+	save t_in, t_out;
+
+	t_in := directiontime dir_in of curve;
+	t_out := directiontime dir_out of curve;
+
+	if t_in > t_out:
+		t_out := t_out + length curve;
+	fi;
+
+	(subpath (t_in, t_out) of curve) shifted offset
+	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;
+
+	head_height# = head_h;
+	head_width# / head_height# = tand (angle);
+
+	set_char_box (0, head_width#,
+		      head_height# / 2, head_height# / 2);
+
+	charwx := head_width# / 2;
+	charwy := head_height# / 2 - linethickness#;
+
+	define_pixels (head_width, head_height);
+
+	ellipse := reverse fullcircle
+		     xscaled (max (blot_diameter, pen_w * head_width))
+		     yscaled (max (blot_diameter, pen_h * head_width))
+		     rotated -angle;
+
+	z1 = find_tangent_shift (((0, h) -- (0, -h)), ellipse,
+				 (0, 0), (w / 2, 0));
+	z2 = find_tangent_shift (((0, h) -- (w, h)), ellipse,
+				 (w / 2, h), (w / 2, 0));
+	z3 = find_tangent_shift (((w, h) -- (w, -h)), ellipse,
+				 (w, 0), (w / 2, 0));
+	z4 = find_tangent_shift (((0, -h) -- (w, -h)), ellipse,
+				 (w / 2, -h), (w / 2, 0));
+
+	fill 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;
+
+	if open:
+		save l;
+		path l[];
+
+		l12 := (directionpoint (z1 - z2) of ellipse) shifted z1
+			-- (directionpoint (z1 - z2) of ellipse) shifted z2;
+		l23 := (directionpoint (z2 - z3) of ellipse) shifted z2
+			-- (directionpoint (z2 - z3) of ellipse) shifted z3;
+		l34 := (directionpoint (z3 - z4) of ellipse) shifted z3
+			-- (directionpoint (z3 - z4) of ellipse) shifted z4;
+		l41 := (directionpoint (z4 - z1) of ellipse) shifted z4
+			-- (directionpoint (z4 - z1) of ellipse) shifted z1;
+
+		unfill l12 intersectionpoint l23
+		       -- l23 intersectionpoint l34
+		       -- l34 intersectionpoint l41
+		       -- l41 intersectionpoint l12
+		       -- cycle;
+	fi;
+
+	labels (1, 2, 3, 4);
+enddef;
+
 
-	rt x2 = w;
-	lft x1 = -b;
-	x3 = x2;
-	bot y1 = -d;
-	y2 = y1;
+fet_beginchar ("Mensural semibrevis head", "s0mensural");
+	draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
+fet_endchar;
+
+
+fet_beginchar ("Mensural minima head", "s1mensural");
+	draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
+fet_endchar;
+
+
+fet_beginchar ("Mensural semiminima head", "s2mensural");
+	draw_diamond_head (staff_space#, 0.15, 0.30, 30, false);
+fet_endchar;
+
+
+fet_beginchar ("Petrucci semibrevis head", "s0petrucci");
+%	draw_diamond_head (1.8 staff_space#, 0.15, 0.40, 30, true);
+	draw_neomensural_open_head (staff_space#, 1.8 staff_space#);
+fet_endchar;
 
-	top y3 = h;
-	y4 = y3;
-	x4 = x1;
 
-	filldraw z1 --- z2 --- z3 --- z4 --- cycle ;
+fet_beginchar ("Petrucci minima head", "s1petrucci");
+%	draw_diamond_head (1.8 staff_space#, 0.15, 0.40, 30, true);
+	draw_neomensural_open_head (staff_space#, 1.8 staff_space#);
+fet_endchar;
+
+
+fet_beginchar ("Petrucci semiminima head", "s2petrucci");
+%	draw_diamond_head (1.8 staff_space#, 0.15, 0.40, 30, false);
+	draw_neomensural_black_head (staff_space#, 1.8 staff_space#);
 fet_endchar;
 
 
@@ -261,360 +566,689 @@ fet_endchar;
 %
 
 % parameterized punctum
-def punctum_char (expr verbose_name, internal_name, mudela_name,
-		  left_stem, right_stem, linea, cavum,
-		  straight, auctum, direction_up, excentric, up_shift, mag) =
+def 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;
 
-	fet_beginchar(verbose_name, internal_name, mudela_name)
-		save b_h, a_w;
-		a_b := 1.54; % b_h*a_b/a_w = wd/ht
+		a_b := 1.54; % b_h * a_b / a_w = wd / ht
 		b_h := 0.85;
 		a_w := 1.09;
 
 		save a, beta, ht, wd;
+
 		ht# = noteheight# * mag;
-		2beta# = ht# * b_h;
+		2 beta# = ht# * b_h;
 		a# = beta# * a_b;
-		wd# = 2a# / a_w;
-		set_char_box(0.50wd#, 0.10wd#, 0.5ht#, 0);
+		wd# = 2 a# / a_w;
 		black_notehead_width# := wd#;
 
 		% direction
-		save direction, direction_sign;
-		pair direction;
-		if direction_up:
-			direction = up;
-			direction_sign# = 1;
+		save d_, d_sign;
+		pair d_;
+
+		if d_up:
+			d_ := up;
+			d_sign := 1;
 		else:
-			direction = down;
-			direction_sign# = -1;
+			d_ := down;
+			d_sign := -1;
 		fi;
 
-		% convexity and excentricity
-		save u_convexity, u_excentricity;
+		% convexity and eccentricity
+		save u_convexity, u_eccentricity;
+
 		if straight:
-			u_convexity# = -0.01ht#;
-			u_excentricity# = 0.0ht#; % dummy
+			u_convexity# := -0.01 ht#;
+			u_eccentricity# := 0.0 ht#; % dummy
 		elseif auctum:
-			u_convexity# = -0.03ht#;
-			u_excentricity# = +0.25ht#;
+			u_convexity# := -0.03 ht#;
+			u_eccentricity# := +0.25 ht#;
 		else:
-			u_convexity# = -0.05ht#;
-			u_excentricity# = 0.0ht#; % dummy
+			u_convexity# := -0.05 ht#;
+			u_eccentricity# := 0.0 ht#; % dummy
 		fi;
-		save convexity, excentricity;
-		convexity# = direction_sign# * u_convexity#;
-		excentricity# = direction_sign# * u_excentricity#;
+
+		save convexity, eccentricity;
+
+		convexity# := d_sign * u_convexity#;
+		eccentricity# := d_sign * u_eccentricity#;
 
 		% y shift offset
 		save yoffs;
+
 		if up_shift:
-			yoffs# = 0.08ht#;
+			yoffs# := 0.08 ht#;
+		elseif down_shift:
+			yoffs# := -0.11 ht#;
 		else:
-			yoffs# = 0.00ht#;
-		fi
+			yoffs# := 0.00 ht#;
+		fi;
+
+		define_pixels (convexity, eccentricity, yoffs, ht, wd);
+
+		pickup pencircle scaled linethickness;
+
+		save height, yoffs_bt, p, circle, circle_r;
+		path p, circle, circle_r;
 
-		define_pixels(convexity, excentricity, yoffs, ht, wd);
-		pickup pencircle scaled stafflinethickness;
+		height# = 0.47 ht#;
+		yoffs_bt# = yoffs# - 0.5 height# - 0.25 convexity#;
 
-		path p;
-		save height, yoffs_bt;
 		define_pixels (height, yoffs_bt);
-		height# = max (0.5ht# - stafflinethickness#, 0);
-		yoffs_bt# = yoffs# - (height# - stafflinethickness#)/2 -
-			    convexity#;
-		xpart z1a = xpart z1b;
-		xpart z2a = xpart z2b;
-		xpart z3a = xpart z3b;
-		ypart z1a + height = ypart z1b;
-		ypart z2a + height = ypart z2b;
-		ypart z3a + height = ypart z3b;
+
+		circle := fullcircle scaled linethickness;
+
+		x1 = x6;
+		x2 = x5;
+		x3 = x4;
+		y1 + height = y6;
+		y2 + height = y5;
+		y3 + height = y4;
+
+		save box_top, box_bt;
 
 		if auctum:
-			z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
-			z2a = (0.20wd, yoffs_bt + 1.0*convexity);
-			z3a = (0.40wd - stafflinethickness/2,
-			       yoffs_bt + 1.0*excentricity);
-			p = z1a .. {right}z2a .. {direction}z3a --
-			    z3b{-direction} .. z2b{left} .. z1b -- cycle;
-		elseif excentric:
-			z1a = (0.00wd + stafflinethickness/2,
-			       yoffs_bt - 1.0*convexity);
-			z2a = (0.08wd, yoffs_bt + 1.4*convexity);
-			z3a = (0.40wd - stafflinethickness/2, yoffs_bt);
-			p = z1a{direction} .. z2a{right} .. z3a --
-			    z3b .. {left}z2b .. {-direction}z1b -- cycle;
+			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
+			    .. {right}z2
+			    .. {d_}z3
+			    -- z4{-d_}
+			    .. z5{left}
+			    .. z6
+			    -- cycle;
 		else:
-			z1a = (0.00wd + stafflinethickness/2, yoffs_bt);
-			z2a = (0.20wd, yoffs_bt + 1.0*convexity);
-			z3a = (0.40wd - stafflinethickness/2, yoffs_bt);
-			p = z1a .. z2a .. z3a --
-			    z3b .. z2b .. z1b -- cycle;
+			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
+			    -- z4
+			    .. z5
+			    .. z6
+			    -- cycle;
 		fi;
 
-		if cavum:
-			draw p;
-		else:
-			filldraw p;
-		fi;
+		labels (1, 2, 3, 4, 5, 6);
 
+		save dirs;
+		pair dirs[];
 
-		pickup pencircle scaled stafflinethickness;
+		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;
 
-		if left_stem:
-			z5=(0.00wd + stafflinethickness/2, yoffs);
-			z6=(0.00wd + stafflinethickness/2, yoffs - 1.5ht);
-			draw z5 -- z6;
-		fi;
+		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 right_stem:
-			z5=(0.40wd - stafflinethickness/2, yoffs);
-			z6=(0.40wd - stafflinethickness/2, yoffs - 1.5ht);
-			draw z5 -- z6;
+		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#) + linethickness# / 2,
+			      max (0, box_top#) + linethickness# / 2);
+
 		if linea:
 			save linea_width, linea_height;
-			linea_width# = stafflinethickness#;
-			linea_height# = 0.85 ht#;
+
+			linea_width# = 0.6 linethickness#;
+			linea_height# = 0.7 ht#;
+
 			define_pixels (linea_width, linea_height);
-			draw_block ((-0.10wd - linea_width/2,
-				     yoffs - linea_height/2),
-				    (-0.10wd + linea_width/2,
-				     yoffs + linea_height/2));
-			draw_block ((+0.50wd - linea_width/2,
-				     yoffs - linea_height/2),
-				    (+0.50wd + linea_width/2,
-				     yoffs + linea_height/2));
+
+			pickup pencircle scaled 0.6 linethickness;
+
+			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#,
+				      linea_height# / 2,
+				      linea_height# / 2);
+
+			currentpicture := currentpicture
+				shifted (0.10 wd + linea_width / 2, 0);
 		fi;
 	fet_endchar;
 enddef;
 
-% parameterized punctum inclinatum
-def inclinatum_char(expr verbose_name, internal_name, mudela_name,
-		    small, stropha, auctum) =
 
-	fet_beginchar(verbose_name, internal_name, mudela_name)
+% parameterized punctum
+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;
 
-		save 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#;
-		2beta# = ht# * b_h;
+
+		ht# = noteheight# * mag;
+		2 beta# = ht# * b_h;
 		a# = beta# * a_b;
-		wd# = 2a# / a_w;
-		set_char_box(0.3wd#, 0.3wd#, 0.5 ht#, 0.5 ht#);
+		wd# = 2 a# / a_w;
 		black_notehead_width# := wd#;
 
-		save za, alpha, size;
-		pair za;
-		alpha = 35;
-		define_pixels(ht, wd);
+		% direction
+		save d_, d_sign;
+		pair d_;
 
-		if small:
-			size# = 0.23ht#;
+		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;
+
+
+% parameterized punctum
+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:
-			size# = 0.45ht#;
+			yoffs# := 0.00 ht#;
 		fi;
 
-		define_pixels(size);
+		define_pixels (convexity, yoffs, ht, wd);
+
+		pickup pencircle scaled linethickness;
 
-		pickup pencircle
-			xscaled blot_diameter
-			yscaled size rotated -alpha;
-		za = (0, size - blot_diameter/2) / 2 rotated alpha;
-		draw -za .. za;
+		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;
+
+%		filldraw p;
+
+		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;
+
+		pickup pencircle scaled 0.6 linethickness;
+
+		save stem_bt;
+
+		if left_stem:
+			z11 = (0.00 wd + 0.6 linethickness / 2, yoffs - 1.1 ht);
+			z12 = (0.00 wd + 0.6 linethickness / 2, yoffs);
+			draw_block ((0, yoffs - 1.1 ht - linethickness / 2),
+				    (0.6 linethickness, yoffs));
+			stem_bt# = yoffs# - 1.1 ht#;
+		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;
+
+
+% parameterized punctum inclinatum
+def inclinatum_char (expr verbose_name, internal_name,
+			  small, stropha, auctum) =
+	fet_beginchar (verbose_name, "s" & internal_name)
+		save ht, alpha;
+
+		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 (size/3)
-				yscaled size rotated alpha;
-			save za, off_angle; pair za;
+			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, -size) / 2 rotated -(alpha + off_angle);
-			undraw za;
+
+			za = (0, -0.25 head_height)
+			       rotated -(alpha + off_angle)
+			       shifted (0.48 head_width, -0.02 head_width);
+
+			undrawdot za;
 		fi;
 
 		if auctum:
-			pickup pencircle scaled stafflinethickness;
-			save za, zb;
-			pair za, zb;
-			za = ((0, -size) rotated -alpha) +
-			     (0, stafflinethickness/2);
-			xpart zb = 0;
-			ypart zb = ypart za;
-			draw za{(0,-1) rotated alpha} ..
-			     {(0,1) rotated -alpha}zb;
+			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;
 		fi;
 	fet_endchar;
 enddef;
 
+
 % punctum
-punctum_char("Ed. Vat. punctum", "0vaticana_punctum", "vatpunctumhead",
-	     false, false, false, false, false,
-	     false, false, false, false, 1.0);
+punctum_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", "0vaticana_punctum_cavum",
-	     "vatpunctumcavumhead",
-	     false, false, false, true, false,
-	     false, false, false, false, 1.0);
+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", "0vaticana_linea_punctum",
-	     "vatlineapunctumhead",
-	     false, false, true, false, false,
-	     false, false, false, false, 1.0);
+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", "0vaticana_linea_punctum_cavum",
-	     "vatlineapunctumcavumhead",
-	     false, false, true, true, false,
-	     false, false, false, false, 1.0);
+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", "0vaticana_inclinatum",
-		"vatinclinatumhead",
-		false, false, false);
+inclinatum_char ("Ed. Vat. inclinatum", "vaticana.inclinatum",
+		 false, false, false);
+
 
-% virga (i.e. right stemmed punctum)
-punctum_char("Ed. Vat. virga", "0vaticana_virga", "vatvirgahead",
-	     false, true, false, false, false,
-	     false, false, false, false, 1.0);
+% pes lower punctum
+punctum_char ("Ed. Vat. pes lower punctum", "vaticana.lpes",
+	      false, false, true, false,
+	      true, false, false, 1.0);
 
-% left stemmed punctum as used in clivis (flexa) ligature
-punctum_char("Ed. Vat. reverse virga", "0vaticana_rvirga", "vatrvirgahead",
-	     true, false, false, false, false,
-	     false, false, false, false, 1.0);
 
 % pes lower punctum
-punctum_char("Ed. Vat. pes lower punctum", "0vaticana_lpes", "vatlpeshead",
-	     false, false, false, false, true,
-	     false, true, false, false, 1.0);
+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", "0vaticana_upes", "vatupeshead",
-	     false, false, false, false, true,
-	     false, false, false, false, 1.0);
+punctum_char ("Ed. Vat. pes upper punctum", "vaticana.upes", 
+	      false, false, true, false,
+	      false, false, false, 1.0);
+
 
 % pes upper punctum (shifted variation)
 %
-% Note: This note head is used instead of the regular pes upper
-% punctum to avoid collision with the lower punctum note of the pes when
-% the upper punctum sits directly on top of the lower punctum.
+% This note head is used instead of the regular pes upper punctum to
+% avoid collision with the lower punctum note of the pes when the upper
+% punctum sits directly on top of the lower punctum.
+%
+punctum_char ("Ed. Vat. var pes upper punctum", "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, 0.6);
+
+
+% small punctum as used in epiphonus
+plica_char ("Ed. Vat. var plica", "vaticana.vplica", 
+	    false, 0.6);
+
+
+% eccentric punctum as used in epiphonus
+epiphonus_char ("Ed. Vat. epiphonus", "vaticana.epiphonus", 
+		false, true, false, 1.0);
+
+
+% eccentric punctum as used in epiphonus (shifted variation)
+%
+% This note head is used instead of the regular epiphonus punctum to
+% avoid collision with the plica head when the plica sits directly on
+% top of the lower head.
 %
-punctum_char("Ed. Vat. var pes upper punctum", "0vaticana_vupes",
-	     "vatvupeshead",
-	     false, false, false, false, true,
-	     false, false, 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,
+	      true, false, false, 0.6);
+
 
-% small punctum as used in epiphonus/cephalicus
-punctum_char("Ed. Vat. plica", "0vaticana_plica", "vatplicahead",
-	     false, false, false, false, true,
-	     false, false, false, false, 0.5);
+% small punctum as used in cephalicus
+plica_char ("Ed. Vat. rev. var plica", "vaticana.reverse.vplica",
+	    true, 0.6);
 
-% excentric punctum as used in epiphonus
-punctum_char("Ed. Vat. epiphonus", "0vaticana_epiphonus", "vatepiphonushead",
-	     false, false, false, false, false,
-	     false, true, true, false, 1.0);
 
-% excentric punctum as used in cephalicus
-punctum_char("Ed. Vat. cephalicus", "0vaticana_cephalicus",
-	     "vatcephalicushead",
-	     false, false, false, false, false,
-	     false, false, true, false, 1.0);
+% eccentric punctum as used in cephalicus; without left stem
+epiphonus_char ("Ed. Vat. inner cephalicus", "vaticana.inner.cephalicus",
+		false, false, false, 1.0);
+
+
+% eccentric punctum as used in cephalicus; with left stem
+epiphonus_char ("Ed. Vat. cephalicus", "vaticana.cephalicus",
+		true, false, false, 1.0);
+
 
 % quilisma
-fet_beginchar("Ed. Vat. quilisma", "0vaticana_quilisma", "vatquilismahead")
-	save b_h,a_w;
+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;
 
 	save a, beta, ht, wd;
 	ht# = noteheight#;
-	2beta# = ht#*b_h;
+	2 beta# = ht# * b_h;
 	a# = beta#*a_b;
-	wd# = 2a# / a_w;
-	set_char_box(0.4wd#, 0.00wd#, 0.5 ht#, 0.5 ht#);
+	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 stafflinethickness yscaled 0.4ht;
-	z1 = (0.00wd, -0.11ht);
-	z2 = (0.00wd, +0.06ht);
-	z3 = (0.10wd, -0.05ht);
-	z4 = (0.16wd, +0.11ht);
-	z5 = (0.24wd, -0.01ht);
-	z6 = (0.30wd, +0.15ht);
-	z7 = (0.40wd, +0.04ht);
-	z8 = (0.40wd, +0.21ht);
-	draw z1 -- z2 -- z3 -- z4 -- z5 -- z6 -- z7 -- z8;
+	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;
 fet_endchar;
 
+
 % solesmes punctum inclinatum parvum
-inclinatum_char("Solesmes punctum inclinatum parvum", "0solesmes_incl_parvum",
-		"solinclparvumhead",
-		true, false, false);
+inclinatum_char ("Solesmes punctum inclinatum parvum", "solesmes.incl.parvum",
+		 true, false, false);
+
 
 % solesmes punctum auctum ascendens
-punctum_char("Solesmes punctum auctum ascendens", "0solesmes_auct_asc",
-	     "solauctaschead",
-	     false, false, false, false, false,
-	     true, true, false, false, 1.0);
+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", "0solesmes_auct_desc",
-	     "solauctdeschead",
-	     false, false, false, false, false,
-	     true, false, false, false, 1.0);
+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", "0solesmes_incl_auctum",
-		"solpunctuminclinatumauctumhead",
-		false, false, true);
+inclinatum_char ("Solesmes punctum incl. auctum", "solesmes.incl.auctum",
+		 false, false, true);
+
 
 % solesmes stropha
-inclinatum_char("Solesmes stropha", "0solesmes_stropha",
-		"solstrophahead",
-		false, true, false);
+inclinatum_char ("Solesmes stropha", "solesmes.stropha",
+		 false, true, false);
+
 
 % solesmes stropha aucta
-inclinatum_char("Solesmes stropha aucta", "0solesmes_stropha_aucta",
-		"solstrophaauctahead",
-		false, true, true);
+inclinatum_char ("Solesmes stropha aucta", "solesmes.stropha.aucta",
+		 false, true, true);
+
 
 % solesmes oriscus
-fet_beginchar("Solesmes oriscus", "0solesmes_oriscus",
-	"soloriscushead")
-	save b_h, a_w;
+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
 	b_h := 0.85;
 	a_w := 1.09;
 
 	save a, beta, ht, wd;
-	ht# = noteheight# * mag;
-	2beta# = ht# * b_h;
+	ht# = noteheight#;
+	2 beta# = ht# * b_h;
 	a# = beta# * a_b;
-	wd# = 2a# / a_w;
-	set_char_box(0.5wd#, 0.0wd#, 0.5ht#, 0.5ht#);
+	wd# = 2 a# / a_w;
 	black_notehead_width# := wd#;
 
 	save convexity;
-	convexity# = +0.05ht#;
-
-	define_pixels(ht, wd, convexity);
-	pickup pencircle xscaled blot_diameter yscaled 0.50ht;
-	z1 = (0.00wd, -convexity);
-	z2 = (0.16wd, +convexity);
-	z3 = (0.33wd, -convexity);
-	z4 = (0.50wd, +convexity);
+	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#);
 fet_endchar;
 
+
 %%%%%%%%
 %
 %
@@ -625,82 +1259,70 @@ fet_endchar;
 %
 
 % inclinatum
-fet_beginchar("Ed. Med. inclinatum", "0medicaea_inclinatum",
-	"medinclinatumhead")
-	save b_h, a_w;
-	a_b := 1.54; % b_h*a_b/a_w = wd/ht
-	b_h := 0.85;
-	a_w := 1.09;
-
-	save a, beta, ht, wd;
-	ht# = noteheight#;
-	2beta# = ht# * b_h;
-	a# = beta# * a_b;
-	wd# = 2a# / a_w;
-	set_char_box(wd#/2, wd#/2, 0.5 ht#, 0.5 ht#);
-	black_notehead_width# := wd#;
-
-	save za, alpha, size;
-	pair za;
-	define_pixels(ht, wd);
-	alpha = 35;
-	size = 0.7ht;
-	pickup pencircle
-		xscaled blot_diameter
-		yscaled size rotated -alpha;
-	za = (0, size) / 2 rotated alpha;
-	draw -za .. za;
-
+fet_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, mudela_name,
-	left_up_stem, left_down_stem) =
-
-	fet_beginchar(verbose_name, internal_name, mudela_name)
 
+% parametrized punctum
+def 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;
+
 		ht# = 2 staff_space#;
 		wd# = ht#;
-		set_char_box(0.0, 0.4wd#, 0.5ht#, 0.5ht#);
 		black_notehead_width# := wd#;
 
-		define_pixels(ht, wd);
-		pickup pencircle
-			xscaled blot_diameter
-			yscaled 0.50ht;
-		z1 = (0.00wd + blot_diameter/2, 0);
-		z2 = (0.40wd - blot_diameter/2, 0);
-		draw z1 .. z2;
+		define_pixels (ht, wd);
+
+		pickup pencircle 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;
 
-		pickup pencircle
-			xscaled stafflinethickness
-			yscaled blot_diameter;
+		pickup pencircle xscaled linethickness
+				 yscaled blot_diameter;
 
 		if left_down_stem:
-			z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
-			z5=(0.00wd + stafflinethickness/2, - 1.25ht);
-			draw z4 .. z5;
+			z4 = (0.00 wd + linethickness / 2, blot_diameter / 2);
+			z5 = (0.00 wd + linethickness / 2, -1.25 ht);
+
+			draw z4
+			     .. z5;
+			set_char_box (0.0, 0.4 wd#, 1.25 ht#, 0.25 ht#);
 		elseif left_up_stem:
-			z4=(0.00wd + stafflinethickness/2, blot_diameter/2);
-			z5=(0.00wd + stafflinethickness/2, + 1.25ht);
-			draw z4 .. z5;
+			z4 = (0.00 wd + linethickness / 2, blot_diameter / 2);
+			z5 = (0.00 wd + linethickness / 2, +1.25 ht);
+
+			draw z4
+			     .. z5;
+			set_char_box (0.0, 0.4 wd#, 0.25 ht#, 1.25 ht#);
+		else:
+			set_char_box (0.0, 0.4 wd#, 0.25 ht#, 0.25 ht#);
 		fi;
 
 	fet_endchar;
 enddef;
 
+
 % punctum
-punctum_char("Ed. Med. punctum", "0medicaea_punctum", "medpunctumhead",
-	false, false);
+punctum_char ("Ed. Med. punctum", "medicaea.punctum", 
+	      false, false);
+
 
 % left up-stemmed punctum
-punctum_char("Ed. Med. reverse virga", "0medicaea_rvirga", "medrvirgahead",
-	true, false);
+punctum_char ("Ed. Med. reverse virga", "medicaea.rvirga",
+	      true, false);
+
 
 % virga (i.e. left down-stemmed punctum)
-punctum_char("Ed. Med. virga", "0medicaea_virga", "medvirgahead",
-	false, true);
+punctum_char ("Ed. Med. virga", "medicaea.virga", 
+	      false, true);
 
 %%%%%%%%
 %
@@ -713,73 +1335,58 @@ punctum_char("Ed. Med. virga", "0medicaea_virga", "medvirgahead",
 
 % punctum
 % parametrized punctum
-def punctum_char (expr verbose_name, internal_name, mudela_name,
-	down_stem) =
+def punctum_char (expr verbose_name, internal_name,
+		       down_stem) =
+	fet_beginchar (verbose_name, "s" & internal_name);
+		save alpha;
 
-	fet_beginchar(verbose_name, internal_name, mudela_name)
-		save b_h, a_w;
-		a_b := 1.54; % b_h*a_b/a_w = wd/ht
-		b_h := 0.85;
-		a_w := 1.09;
+		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 a, beta, ht, wd;
-		ht# = noteheight#;
-		2beta# = ht# * b_h;
-		a# = beta# * a_b;
-		wd# = 2a# / a_w;
-		set_char_box(wd#/2, wd#/2, 0.5 ht#, 0.5 ht#);
-		black_notehead_width# := wd#;
+			save za, zb;
+			pair za, zb;
 
-		save za, zb, zc, alpha, size;
-		pair za, zb, zc;
-		define_pixels(ht, wd);
-		alpha = 55;
-		size = 0.7ht;
-		pickup pencircle
-			xscaled blot_diameter
-			yscaled size rotated -alpha;
-		za = (0, size) / 2 rotated alpha;
-		draw -za .. za;
+			za = (head_width / 2, 0);
+			bot zb = (head_width / 2, -1.5 staff_space);
 
-		if down_stem:
-			zb = (0.00wd, 0);
-			zc = (0.00wd, - 1.25ht);
-			draw zb -- zc;
+			draw za
+			     -- zb;
+			set_char_box (0, head_width#,
+				      1.5 staff_space#, head_height# / 2);
 		fi;
 	fet_endchar;
 enddef;
 
 % punctum
-punctum_char("Hufnagel punctum", "0hufnagel_punctum", "hufpunctumhead", false)
+punctum_char ("Hufnagel punctum", "hufnagel.punctum", false)
 
 % virga
-punctum_char("Hufnagel virga", "0hufnagel_virga", "hufvirgahead", true)
+punctum_char ("Hufnagel virga", "hufnagel.virga",  true)
 
 % pes lower punctum
-fet_beginchar("Hufnagel pes lower punctum", "0hufnagel_lpes", "huflpeshead")
-	save b_h, a_w;
-	a_b := 1.54; % b_h*a_b/a_w = wd/ht
-	b_h := 0.85;
-	a_w := 1.09;
+fet_beginchar ("Hufnagel pes lower punctum", "shufnagel.lpes")
+	save width, height, alpha;
+	width# = 2*staff_space#;
+	height# = 0.7*staff_space#;
+	alpha# = 35;
 
-	save a, beta, ht, wd;
-	ht# = noteheight#;
-	2beta# = ht# * b_h;
-	a# = beta# * a_b;
-	wd# = 2a# / a_w;
-	set_char_box(wd#, wd#, 0.7 ht#, 0.7 ht#);
-	black_notehead_width# := wd#;
+	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;
+
+	filldraw z1 -- z2 -- z3 -- z4 -- cycle;
 
-	save za, alpha, size;
-	pair za;
-	define_pixels(ht, wd);
-	alpha = 35;
-	size = 0.7ht;
-	pickup pencircle
-		xscaled blot_diameter
-		yscaled size rotated -alpha;
-	za = (size, 0);
-	draw -za .. za;
+	currentpicture := currentpicture shifted (width/2, 0);
 fet_endchar;
 
 fet_endgroup ("noteheads")