A new 36-fret neck for a 3-string T-section
Starts with 2-Banger geometry, widens out to do 1cm nut 2cm bridge spacing Neck profile is just a growing radius circle maintaining constant thickness from T-spine
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@ -0,0 +1,133 @@
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include <common.scad>
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include <AluTCommon.scad>
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semitone_strings = ["0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "X", "XI"];
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octave_strings = ["", "˙", "¨", "¯"];
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octave_scales = [1.1, 1, 0.9, 0.8];
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// $fn = $preview ? 32 : 512;
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// mink_fn = $preview ? 12 : 128;
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// mink_fn_2d = $preview ? 32 : 256;
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$fn = 32;
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mink_fn = 12;
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mink_fn_2d = 32;
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fret_width = 2.4; //2.8; // Jumbo = 0.11", 0.055" tall
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tube_radius = Cap_Spine + T_circumcenter[0];
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module tube(from_fret, to_fret, scale_offset = 0) {
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function fsl(fret_number) = fret_scale_length(fret_number + scale_offset);
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z_min = (fsl(to_fret) + fsl(to_fret+1))/2;
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z_max = (fsl(from_fret) + fsl(from_fret-1))/2;
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z_offset = z_min;
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Cap_Length = z_max - z_min;
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echo(str("Cap length from fret ", from_fret, " to ", to_fret, " is ", Cap_Length, "mm"));
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module solid_tube(cap_taper = 1.5, fingerboard_min_thick = 2.5, fingerboard_max_thick = 5, fret_angle = 60) { // Fret angle of 45° is normal, anything over 60 will not work correctly
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module cap_outline(profile_radius_scale = 1.0, rounding_radius = 1.5) {
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minkowski($fn = mink_fn_2d) {
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circle(r = rounding_radius);
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difference() {
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translate([(profile_radius_scale-1.0)*tube_radius, 0, 0]) translate(T_circumcenter) circle(r = tube_radius*profile_radius_scale - rounding_radius);
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translate([fingerboard_max_thick - rounding_radius, -50]) square([100,100]);
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}
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}
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}
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module fret_bumps(w=100) {
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translate([0,0,-z_offset]) for (fret = [from_fret:to_fret])
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translate([fingerboard_max_thick - fret_width/2, w/2, fsl(fret)])
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rotate([90,0,0]) cylinder(h = w, r = fret_width/2);
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}
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module scallops(w=100) {
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for (fret = [from_fret:to_fret+1])
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let(
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f_prev = fsl(fret-1) - z_offset,
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f_next = fsl(fret) - z_offset,
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o = fret_width/2 * sin(fret_angle),
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x0 = f_prev - o,
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x1 = f_next + o,
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y0 = fingerboard_min_thick,
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y1 = fingerboard_max_thick - (fret_width/2 * cos(fret_angle)),
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pts = [[x0, y1], [x1, y1], [(x0+x1)/2, y0]],
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cc = tri_circumcenter(pts),
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r = norm([x0, y1] - cc)
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) {
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translate([0,-w/2,0])
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rotate([-90,-90,0])
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translate(cc) cylinder(h = w, r = r);
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}
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}
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module basic_fretboard() {
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intersection() {
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// hull() {
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// minkowski($fn = mink_fn) {
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// sphere(cap_taper, $fn = mink_fn);
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// translate([0,0,cap_taper]) linear_extrude(0.01) offset(-cap_taper)
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// cap_outline(fingerboard_min_thick = fingerboard_min_thick, fingerboard_max_thick = fingerboard_max_thick);
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// }
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// minkowski($fn = mink_fn) {
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// sphere(cap_taper, $fn = mink_fn);
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// translate([0,0,Cap_Length-cap_taper]) linear_extrude(0.01) offset(-cap_taper)
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// cap_outline(fingerboard_min_thick = fingerboard_min_thick, fingerboard_max_thick = fingerboard_max_thick);
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// }
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// linear_extrude(Cap_Length) offset(-1) cap_outline();
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// translate([0,0,cap_taper]) linear_extrude(Cap_Length-cap_taper*2)
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// cap_outline(fingerboard_min_thick = fingerboard_min_thick, fingerboard_max_thick = fingerboard_max_thick);
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// }
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hull() {
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translate([0,0,Cap_Length]) linear_extrude(0.001) cap_outline(1.0);
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translate([0,0,0]) linear_extrude(0.001) cap_outline(1.75);
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}
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// linear_extrude(Cap_Length)
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// cap_outline();
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union() {
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color("black") fret_bumps();
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color("white", alpha=0.01) translate([-50,-50,0]) cube([50 + fingerboard_max_thick - (fret_width/2 * cos(fret_angle)), 100, Cap_Length]);
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}
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}
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}
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// Make a solid tube and then subtract the notches
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difference() {
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basic_fretboard();
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difference() {
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color("red") scallops();
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color("blue") fret_bumps();
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}
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}
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// color("red") scallops();
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}
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difference() {
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solid_tube(1.5);
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linear_extrude(Cap_Length) T_hole();
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tapered_T_hole(z0 = 0, z1 = 3);
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tapered_T_hole(z0 = Cap_Length-3, z1 = Cap_Length+0.0001, o0 = 0, o1 = 1);
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// Version number
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translate([-10,10,Cap_Length-0.5]) linear_extrude(1) text("06", size=5, halign="center", valign="center", font="Noto Sans");
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// Fret number markers
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color("black")
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for (fret = [from_fret:to_fret])
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translate([-3,-16,fsl(fret)-z_offset]) rotate([90,25,16]) linear_extrude(40) {
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octave = floor(fret/12);
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semitone = fret%12;
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octave_scale = octave_scales[octave];
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text(semitone_strings[semitone], size=4*octave_scale, halign="center", valign="center", font="Noto Sans");
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text(octave_strings[octave], size=6*octave_scale, halign="center", valign="center", font="Noto Sans");
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}
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}
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}
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tube(from_fret = 0, to_fret = 36, scale_offset = -5);
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//translate([50, 0]) tube(from_fret = -4, to_fret = -3);
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//translate([100, 0]) tube(from_fret = -2, to_fret = 0);
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//translate([150, 0]) tube(from_fret = 1, to_fret = 3);
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//translate([200, 0]) tube(from_fret = 4, to_fret = 7);
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//translate([250, 0]) tube(from_fret = 8, to_fret = 12);
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//translate([300, 0]) tube(from_fret = 13, to_fret = 19);
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//translate([350, 0]) tube(from_fret = 20, to_fret = 30);
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