% -*-Fundamental-*- % feta-bolletjes.mf -- implement noteheads % % source file of LilyPond's pretty-but-neat music font % % (c) 1997--2004 Jan Nieuwenhuizen % & Han-Wen Nienhuys % & Juergen Reuter % test_outlines := 0; % most beautiful noteheads are pronounced, not circular, % and not even symmetric. % These examples are inspired by [Wanske], see literature list %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % NOTE HEAD VARIABLES %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% save black_notehead_width, noteheight, slash_thick, slash_slope, overdone_heads; numeric black_notehead_width, noteheight, slash_thick; fet_begingroup("noteheads"); % slope of slash. From scm/grob-description.scm. How to auto-copy? slash_slope := 1.7; % thickness of slash lines. quarter notes get 1.5slt width. slash_thick# := 2/3*0.48staff_space#; % % Hand-engraved music often has balls extending above and below % the lines. If you like that, modify overdone heads (unit: % stafflinethickness) % overdone_heads = 0.0; noteheight#:=staff_space#+ (1 + overdone_heads) *stafflinethickness#; define_pixels(slash_thick, noteheight); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % SLANT moves both extremes on the long axis (by SLANT * ELLIPSIDITY, % so SLANT = -1, puts the extreme on the long axis next to the short axis one.) % def draw_outside_ellipse (expr ellipsidity, tilt, superness, slant) = save attachment_y; save p; path p; p := superellipse ((ellipsidity, 0), (-slant * ellipsidity, 1.0), (- ellipsidity, 0), (slant * ellipsidity, -1.0), superness); p := p rotated tilt; save top_point, right_point; pair top_point, right_point; top_point := directionpoint left of p; right_point := directionpoint up of p; save scaling, width, height; scaling# = noteheight# /(2 ypart (top_point)); width# := 2 xpart (right_point) * scaling#; define_pixels (width, scaling); set_char_box (0, width#, noteheight#/2, noteheight#/2); % attachment Y charwy := ypart (right_point) * scaling#; charwx := width# ; p := p scaled scaling shifted (width/2, 0) ; if test_outlines = 1: pickup pencircle scaled 1 ; draw p; else: fill p; fi; enddef; def undraw_inside_ellipse (expr ellipsidity, tilt, superness, clearance, center) = begingroup save p; path p; p := superellipse ((ellipsidity, 0), (0, 1.0), (- ellipsidity, 0), (0, -1.0), superness); p := p rotated tilt; save top_point, right_point; pair top_point, right_point; top_point := directionpoint left of p; right_point := directionpoint up of p; save height, scaling; height# = staff_space# + stafflinethickness# - clearance; scaling# = height# /(2 ypart (top_point)); define_pixels (scaling); p := (p scaled scaling) shifted center; if test_outlines = 1: pickup pencircle scaled 1; draw p; else: unfill p; fi endgroup; enddef; % % dimensions aren't entirely right. % fet_beginchar ("Brevis notehead", "s-1", "brevishead"); save stemthick, fudge; define_pixels (stemthick); fudge = blot_diameter / 2; stemthick# = 2 stafflinethickness#; draw_outside_ellipse (1.80, 0, 0.707, 0); undraw_inside_ellipse (1.30, 125, 0.68, 2 stafflinethickness#, (w /2, 0)); pickup pencircle scaled stemthick; bot y1 = -d; top y2 = h; rt x1 - fudge = 0; x1 = x2; fudge + lft x3 = w; x4 = x3; y4 = y2; y3 = y1; draw_gridline(z1,z2,stemthick); draw_gridline(z3,z4,stemthick); fet_endchar; fet_beginchar("Whole notehead", "s0", "wholehead") draw_outside_ellipse (1.80 - puff_up_factor / 3.0, 0, 0.707, 0); undraw_inside_ellipse (1.30, 125 - puff_up_factor *10, 0.68, 2 stafflinethickness#, (w /2, 0)); % draw_staff_outline (-2, 2, 0.5); fet_endchar; fet_beginchar("Half notehead", "s1", "halfhead") draw_outside_ellipse (1.53 - puff_up_factor / 3.0, 34, 0.66, 0.17); undraw_inside_ellipse (3.25, 33, 0.81, 2.5 stafflinethickness#, (w/2, 0)); fet_endchar; fet_beginchar("Quart notehead", "s2", "quarthead") % used to have 32. With 31, they are slightly bolder. draw_outside_ellipse (1.49 - puff_up_factor / 3.0, 31, 0.707, 0); black_notehead_width# := charwd; fet_endchar; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% fet_beginchar("Whole diamondhead", "s0diamond", "wholediamondhead") draw_outside_ellipse (1.80, 0, 0.495, 0); undraw_inside_ellipse (1.30, 125, 0.6, .4 staff_space# + stafflinethickness#, (w /2, 0)); fet_endchar; fet_beginchar("Half diamondhead", "s1diamond", "halfdiamondhead") draw_outside_ellipse (1.50, 34, 0.49, 0.17); undraw_inside_ellipse (3.5, 33, 0.80, .3 staff_space# + 1.5 stafflinethickness#, (w/2, 0)); fet_endchar; fet_beginchar("Quart diamondhead", "s2diamond", "diamondhead") draw_outside_ellipse (1.80, 35, 0.495, -0.25); fet_endchar; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% def define_triangle_shape(expr stemdir) = save triangle,kern; path triangle; save width, depth, height; save left_point, height, width, origin; save left_up_dir, exact_right_point, exact_down_point; pair exact_down_point, exact_left_point, origin, left_up_dir, exact_right_point; save pen_thick; pen_thick# = stafflinethickness# + .1 staff_space#; define_pixels(pen_thick, llap); left_up_dir = llap# * dir (90 + tilt); xpart (left_up_dir) * xs - (pen_thick# * xs)/2 + xpart origin = 0; ypart origin = 0; exact_left_point := origin + (left_up_dir xscaled xs); exact_down_point := origin + (left_up_dir rotated 120 xscaled xs); exact_right_point := origin + (left_up_dir rotated 240 xscaled xs); height# = ypart (exact_left_point + origin) + pen_thick#/2; depth# = -ypart (exact_down_point + origin) + pen_thick#/2; width# = xpart (exact_right_point - exact_left_point) + pen_thick# * xs; set_char_box(0, width#, depth#, height#); z0 = (hround_pixels (xpart origin), 0); z1 = z0 + llap * dir(90+tilt) xscaled xs; z2 = z0 + (llap * dir(90+tilt + 120) xscaled xs); z3 = z0 + (llap * dir(90+tilt + 240) xscaled xs); z12 = caveness[.5[z1,z2],z3]; z23 = caveness[.5[z2,z3],z1]; z31 = caveness[.5[z3,z1],z2]; triangle = z1 .. z12 .. z2 .. z2 .. z23 .. z3 .. z3 .. z31 .. z1 .. cycle; pickup pencircle scaled pen_thick xscaled xs; labels(1,2,12,23,31,3); % attachment Y if stemdir = 1: charwy := ypart exact_right_point; charwx := xpart exact_right_point; else: charwy := ypart exact_down_point; charwx := xpart exact_down_point; fi enddef; fet_beginchar("Whole trianglehead", "0triangle", "wholetrianglehead") save hei,xs; save llap; save tilt; tilt = 40; llap# = 3/4noteheight#; xs = 1.5; caveness:=0.1; define_triangle_shape(1); draw triangle; fet_endchar; def draw_closed_triangle_head(expr dir) = save hei,xs; save llap; save tilt; tilt = 40; llap# = 2/3noteheight#; xs = 1.2; caveness:=0.1; define_triangle_shape(dir); draw triangle; enddef; fet_beginchar("Half trianglehead", "d1triangle", "dhalftrianglehead") draw_closed_triangle_head(-1); fet_endchar; fet_beginchar("Half trianglehead", "u1triangle", "uhalftrianglehead") draw_closed_triangle_head(1); fet_endchar; def draw_closed_triangle_head(expr dir) = save hei,xs; save llap; save tilt; tilt = 40; llap# = 2/3noteheight#; xs = 1.0; caveness:=0.1; define_triangle_shape(dir); filldraw triangle; enddef; fet_beginchar("Quart trianglehead", "u2triangle", "utrianglehead") draw_closed_triangle_head(1); fet_endchar; fet_beginchar("Quart trianglehead", "d2triangle", "dtrianglehead") draw_closed_triangle_head(-1); fet_endchar; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % slash heads are for indicating improvisation. They are % twice as high as normal heads. % def draw_slash(expr hwid_hash) = save exact_height; save ne_dir; pair ne_dir; exact_height = staff_space# + stafflinethickness#/2; set_char_box (0, 2 exact_height / slash_slope + hwid_hash, exact_height, exact_height); charwx := charwd; charwy := charht; clearxy; pickup pencircle scaled blot_diameter; bot y1 = - d; top y2 = h; lft x1 = 0; lft x2 = 2 h / slash_slope; rt x3 = w; y3 = y2; y4 = y1; x3- x2 = x4 - x1; ne_dir := unitvector( z3 - z4); filldraw z1 --- z2 --- z3 --- z4 --- cycle; if hwid_hash > 2 slash_thick#: save th; th = slash_thick - blot_diameter; y6 = y7; y5 = y8; y3 - y7 = th; y5 - y1 = th; z6 - z5 = whatever * ne_dir; z8 - z7 = whatever * ne_dir; z5 = z1 + whatever * ne_dir + th * (ne_dir rotated -90); z8 = z4 + whatever * ne_dir + th * (ne_dir rotated 90); unfill z5 -- z6 -- z7 -- z8 -- cycle; fi labels (range 1 thru 10); enddef; fet_beginchar("Whole slashhead","s0slash","wholeslashhead") draw_slash(4 slash_thick# + 0.5 staff_space#); fet_endchar; fet_beginchar("Half slashhead","s1slash","halfslashhead") draw_slash(3.0 slash_thick# + 0.15 staff_space#); fet_endchar; fet_beginchar("Quart slashhead","s2slash","quartslashhead") draw_slash(1.5 slash_thick#); fet_endchar; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % thick is the distance between the NE/SW parallel lines in the cross % (distance between centres of lines) % in stafflinethickness def % def draw_cross(expr thick) = save pent, slant, ne_dir; pair ne_dir; save crz; path crz; pen_thick# := 1.2 stafflinethickness#; define_pixels (pen_thick); pickup pencircle scaled pen_thick; top y3 = h; ne_dir := unitvector ((1, (2 h -pen_thick)/(w - pen_thick))); rt x4 = w/2; y5 = 0; z4 - z5 = whatever * ne_dir; x6 = 0; z6 - z3 = whatever * ne_dir; z3 - z4 = whatever * (ne_dir yscaled -1); z4 - z3 = whatever * (ne_dir) + (ne_dir rotated -90) * thick * stafflinethickness; x1 = charwd/2 - .5 pen_thick#; z1 = whatever * ne_dir + thick/2 * stafflinethickness# * (ne_dir rotated -90); labels (1,2,3,4,5,6); crz = (z6 -- z3 -- z4 -- z5) ; draw crz shifted(w/2,0); draw crz xscaled -1 shifted(w/2,0); draw crz yscaled -1 shifted(w/2,0); draw crz scaled -1 shifted(w/2,0); charwx := charwd; charwy := y1; message (decimal charwx); message (decimal charwy); z12 = (charwx * hppp, y1 * vppp); labels (12); enddef; fet_beginchar("Whole Crossed notehead", "s0cross", "wholecrossedhead") wid# := black_notehead_width#+4stafflinethickness#; hei# := noteheight#+stafflinethickness#; set_char_box(0, wid#,hei#/2,hei#/2); draw_cross (3.75); fet_endchar; fet_beginchar("Half Crossed notehead", "1scross", "halfcrossedhead") wid# := black_notehead_width#+2 stafflinethickness#; hei# := noteheight#+stafflinethickness#/2; set_char_box(0, wid#,hei#/2,hei#/2); draw_cross(3.0); fet_endchar; fet_beginchar("Crossed notehead", "s2cross", "crossedhead") wid# := black_notehead_width#; hei# := noteheight#; set_char_box(0, wid#,hei#/2,hei#/2); draw_cross(1.0); fet_endchar; fet_beginchar("X-Circled notehead", "s2xcircle", "xcircledhead") wid# := black_notehead_width#*sqrt(sqrt2); hei# := noteheight#*sqrt(sqrt2); set_char_box(0, wid#,hei#/2,hei#/2); cthick := (1.2+1/4)*stafflinethickness; cxr := w/2-cthick/2; cyr := h-cthick/2; pickup pencircle scaled cthick; draw fullcircle xscaled 2cxr yscaled 2cyr shifted (w/2,0); xpos := cxr/sqrt2; ypos := cyr/sqrt2; draw (-xpos+w/2,-ypos) -- (xpos+w/2,ypos); draw (-xpos+w/2,ypos) -- (xpos+w/2,-ypos); charwx := charwd ; charwy := 0 ; z12 = (charwx * hppp , charwy * vppp ); labels (12); fet_endchar; %%%%%%%% % % % SOLFA SHAPED NOTES % % def generic_draw_solfa_note_shape = save a,beta,black,white; path black, white; pickup pencircle scaled stafflinethickness; 2 beta# = noteheight#; a# = a_b*beta#; wid# := 2a#+stafflinethickness#; hei# := noteheight#+stafflinethickness#; set_char_box(0, wid#,0.5 hei#, 0.5 hei#); define_pixels(a,beta); black = noteshape xscaled a yscaled beta shifted (a+stafflinethickness/2,0); filldraw black; if (solid=false): white = noteishape xscaled (a*ai_a) yscaled (beta*bi_b) shifted ((dx+1)*(a+stafflinethickness/2),dy*(beta+stafflinethickness/2)); unfill white; fi; enddef; def draw_solfa_note_shape = save solid; boolean solid; solid=false; generic_draw_solfa_note_shape; enddef; def draw_solfa_quarter_note_shape = save solid; boolean solid; solid=true; generic_draw_solfa_note_shape; enddef; % do - equilateral triangle: (0,-h/2) -- (w/2,h/2) -- (w,-h/2) -- cycle; % stem attachment: -h/2 save triangle; path triangle; triangle := (-1,-1) -- (0,1) -- (1,-1) -- cycle; def drawdoshape = save noteshape, noteishape, dx, dy, ai_a, bi_b; path noteshape, noteishape; noteshape = noteishape = triangle; (dx,dy)=(0,0.05); (ai_a,bi_b)=(i_o,i_o); draw_solfa_note_shape; enddef; fet_beginchar("Whole dohead", "s0do", "wholedohead") pickup pencircle scaled blot_diameter; save a_b, i_o; a_b = 1.8; i_o = 0.6; drawdoshape; fet_endchar; fet_beginchar("Half dohead", "s1do", "halfdohead") save a_b, i_o; a_b = 1.5; i_o = 0.6; drawdoshape; fet_endchar; fet_beginchar("Quart dohead", "s2do", "dohead") save a_b, noteshape; path noteshape; a_b = 1.54; noteshape = triangle; draw_solfa_quarter_note_shape; fet_endchar; % re - flat top, curved bottom: % (0,h/2) {dir -90} .. (w/2,-h/2) .. {dir 90} (w,h/2) -- cycle; % (broader along the base and with more vertical sides for half and % whole notes) % stem attachment: h/2 save reshape; path reshape; reshape = (-1,1)--(-1,0.2){down} ... (0,-1) ... {up}(1,0.2)--(1,1)--cycle; fet_beginchar("Whole rehead", "s0re", "wholerehead") save a_b, ai_a, bi_b, dx, dy, noteshape, noteishape; path noteshape, noteishape; noteshape = reshape; noteishape = reshape; a_b = 1.8; bi_b = 0.65; ai_a = 0.8; (dx,dy)=(0,-0.1); draw_solfa_note_shape; fet_endchar; fet_beginchar("Half rehead", "s1re", "halfrehead") save a_b, ai_a, bi_b, dx, dy, noteshape, noteishape; path noteshape, noteishape; noteshape = reshape; noteishape = reshape; a_b = 1.5; bi_b = 0.65; ai_a = 0.8; (dx,dy)=(0,-0.1); draw_solfa_note_shape; fet_endchar; fet_beginchar("Quart rehead", "s2ro", "rehead") save a_b, noteshape; path noteshape; a_b = 1.54; noteshape = reshape; draw_solfa_quarter_note_shape; fet_endchar; % me - diamond: (0,0) -- (w/2,h/2) -- (w,0) -- (w/2,-h/2) -- cycle; % similar to existing diamond shaped head, but not quite the same % stem attachment: 0 save mishape; path mishape; mishape = (-1,0)--(0,1)--(1,0)--(0,-1)--cycle; fet_beginchar("Whole mihead", "s0mi", "wholemihead") save a_b, ai_a, bi_b, dx, dy, noteshape, noteishape; path noteshape, noteishape; noteshape = mishape; noteishape = (mishape slanted -0.35) rotated -10.5; a_b = 1.8; bi_b = 0.65; ai_a = 0.7; (dx,dy)=(0,0); draw_solfa_note_shape; fet_endchar; fet_beginchar("Half mihead", "s1mi", "halfmihead") save a_b, ai_a, bi_b, dx, dy, noteshape, noteishape; path noteshape, noteishape; noteshape = mishape; noteishape = (mishape slanted -0.35) rotated -10.5; a_b = 1.5; bi_b = 0.65; ai_a = 0.7; (dx,dy)=(0,0); draw_solfa_note_shape; fet_endchar; fet_beginchar("Quart mihead", "s2mi", "mihead") save a_b, noteshape; path noteshape; a_b = 1.54; noteshape = mishape; draw_solfa_quarter_note_shape; fet_endchar; % fa - scalene triangle: % for stem up: (0,h/2) -- (w,h/2) -- (w,-h/2) -- cycle; % for stem down: (w,-h/2) -- (0,1h/2) -- (0,h/2) -- cycle; % (one is a 180 degree rotation of the other) % stem attachment: (doesn't much matter) save fashape; path fashape; fashape = (-1,1)--(1,1)--(1,-1)--cycle; fet_beginchar("Whole fahead", "s0fa", "wholefahead") save a_b, ai_a, bi_b, dx, dy, noteshape, noteishape; path noteshape, noteishape; noteshape = fashape; noteishape = fashape; a_b = 1.8; bi_b = 0.6; ai_a = 0.6; (dx,dy)=(0.2,.05); draw_solfa_note_shape; fet_endchar; fet_beginchar("Half stemup fahead", "u1fa", "halffauhead") save a_b, ai_a, bi_b, dx, dy, noteshape, noteishape; path noteshape, noteishape; noteshape = fashape; noteishape = fashape; a_b = 1.5; bi_b = 0.6; ai_a = 0.6; (dx,dy)=(0.2,.05); draw_solfa_note_shape; fet_endchar; fet_beginchar("Quart stemup fahead", "u2fa", "fauhead") save a_b, noteshape; path noteshape; a_b = 1.54; noteshape = fashape; draw_solfa_quarter_note_shape; fet_endchar; fet_beginchar("Half stemdn fahead", "d1fa", "halffadhead") save a_b, ai_a, bi_b, dx, dy, noteshape, noteishape; path noteshape, noteishape; noteshape = fashape rotated 180; noteishape = fashape rotated 180; a_b = 1.5; bi_b = 0.6; ai_a = 0.6; (dx,dy)=(-0.2,-.05); draw_solfa_note_shape; fet_endchar; fet_beginchar("Quart stemdn fahead", "d2fa", "fadhead") save a_b, noteshape; path noteshape; a_b = 1.54; noteshape = fashape rotated 180; draw_solfa_quarter_note_shape; fet_endchar; % sol - oval ... the standard "round" note % la - rectangle: (0,h/2)--(w,h.2)--(w,-h/2)--(0,-h/2)--cycle; % stem attachment: (doesn't much matter) save lashape; path lashape; lashape = (-1,-1)--(-1,1)--(1,1)--(1,-1)--cycle; fet_beginchar("Whole lahead", "s0la", "wholelahead") save a_b, ai_a, bi_b, dx, dy, noteshape, noteishape; path noteshape, noteishape; noteshape = lashape; noteishape = lashape; a_b = 1.8; bi_b = 0.6; ai_a = 0.85; (dx,dy)=(0,0); draw_solfa_note_shape; fet_endchar; fet_beginchar("Half lahead", "s1la", "halflahead") save a_b, ai_a, bi_b, dx, dy, noteshape, noteishape; path noteshape, noteishape; noteshape = lashape; noteishape = lashape; a_b = 1.5; bi_b = 0.6; ai_a = 0.85; (dx,dy)=(0,0); draw_solfa_note_shape; fet_endchar; fet_beginchar("Quart lahead", "s2la", "lahead") save a_b, noteshape; path noteshape; a_b = 1.54; noteshape = lashape; draw_solfa_quarter_note_shape; fet_endchar; % ti - an "icecream cone" with about 2/3 of % the height in the cone and only 1/3 in the curved top: % (0,h/6)--(w/2,-h/2)--(w,h/6)..(w/2,h/2)..cycle; % stem attachment: h/6 save tishape; path tishape; tishape = (0,-1)--(-1,0.3)..(0,1)..(1,0.3)--cycle; fet_beginchar("Whole tihead", "s0ti", "wholetihead") save a_b, ai_a, bi_b, dx, dy, noteshape, noteishape; path noteshape, noteishape; noteshape = tishape; noteishape = tishape; a_b = 1.8; bi_b = 0.75; ai_a = 0.75; (dx,dy)=(0,-.02); draw_solfa_note_shape; fet_endchar; fet_beginchar("Half tihead", "s1ti", "halftihead") save a_b, ai_a, bi_b, dx, dy, noteshape, noteishape; path noteshape, noteishape; noteshape = tishape; noteishape = tishape; a_b = 1.5; bi_b = 0.75; ai_a = 0.75; (dx,dy)=(0,-.02); draw_solfa_note_shape; fet_endchar; fet_beginchar("Quart tihead", "2ti", "tihead") save a_b, noteshape; path noteshape; a_b = 1.54; noteshape = tishape; draw_solfa_quarter_note_shape; fet_endchar; fet_endgroup("noteheads"); % % we derive black_notehead_width# from the quarter head, % so we have to define black_notehead_width (pixel qty) % after the black_notehead_width# itself. Let's keep it outside the group as well. % define_pixels(black_notehead_width);