Fixed up profile scaling again
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T-riple.scad
117
T-riple.scad
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@ -16,30 +16,32 @@ fret_angle = 60; //Fret angle of 45° is normal, anything over 60 will not work
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tube_radius = Cap_Spine + T_circumcenter[0];
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standard_profile_center_x = T_circumcenter[0];
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x_min = standard_profile_center_x - tube_radius;
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minimum_y_width = 26.4517;
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standard_y_width = 28;
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nut_spacing = 10;
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bridge_spacing = 20;
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y_width_extra_mm = standard_y_width - (2 * nut_spacing);
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y_width_extra = y_width_extra_mm / (2 * nut_spacing);
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// minimum_y_width = 26.4517;
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// standard_y_width = 28;
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module fret_tube(from_fret, to_fret, scale_offset = 0, nut_spacing = 10, bridge_spacing = 20, strings = 3, y_width_extra_mm = 8, fingerboard_min_thick = 2.5, fingerboard_max_thick = 5, place_on_z0 = false, string_mms = false) {
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spacing_scale = bridge_spacing/nut_spacing;
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y_width_extra = y_width_extra_mm / ((strings-1) * nut_spacing);
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y_width_nut = ((strings-1) * nut_spacing) + y_width_extra_mm;
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y_width_bridge = ((strings-1) * bridge_spacing) + y_width_extra_mm;
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string_diameters = string_mms ? string_mms : [for (i=[1:strings]) 2];
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module tube(from_fret, to_fret, scale_offset = 0, fingerboard_min_thick = 2.5, fingerboard_max_thick = 5) {
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function fsl(fret_number) = fret_scale_length(fret_number + scale_offset);
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z0 = fsl(0);
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function get_desired_width_scale(z) = let (spacing = 2.0-(z/z0)) (spacing + y_width_extra)/(1 + y_width_extra);
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function get_desired_profile_radius(ws) =
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z_min = fsl(to_fret) - fret_width/2;
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z_max = fsl(from_fret) + zero_fret_width/2;
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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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function get_desired_top_width(z) = lerp(y_width_bridge, y_width_nut, z/z0);
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function get_desired_profile_radius(top_width) =
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let (
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x = fingerboard_max_thick,
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y = standard_y_width*0.5*ws,
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cc = tri_circumcenter([[x, -y], [x, y], [x_min, 0]])
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cc = tri_circumcenter([[x, -top_width/2], [x, top_width/2], [x_min, 0]])
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)
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cc[0]-x_min;
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z_min = fsl(to_fret) - fret_width/2;
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z_max = fsl(from_fret) + zero_fret_width/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) {
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function get_x_max(z) =
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@ -50,8 +52,8 @@ module tube(from_fret, to_fret, scale_offset = 0, fingerboard_min_thick = 2.5, f
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nearest_fret_mm = fsl(nearest_fret)
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)
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z;
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module outline_xy(width_scale = 1.0, x_max = fingerboard_max_thick, rounding_radius = 1.5, backside = true, topside = true) {
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profile_radius = get_desired_profile_radius(width_scale);
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module outline_xy(top_width, x_max = fingerboard_max_thick, rounding_radius = 1.5, backside = true, topside = true) {
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profile_radius = get_desired_profile_radius(top_width);
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profile_radius_scale = profile_radius / tube_radius;
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profile_center_x = (profile_radius_scale-1.0)*tube_radius + standard_profile_center_x;
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@ -70,34 +72,31 @@ module tube(from_fret, to_fret, scale_offset = 0, fingerboard_min_thick = 2.5, f
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topside_points_2 = topside ? [for (i = [0:profile_arc_steps_topside]) pt(a_backside_end + i*a_topside_step)] : [];
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polygon(points = concat(topside_points_1, backside_points, topside_points_2));
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top_width = pt(a_topside_start)[1] * 2;
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echo(WScale=width_scale, PScale=profile_radius_scale, r=profile_radius, TopWidth=top_width, StringSpacing=(top_width-y_width_extra_mm)/2, dv=top_width/width_scale, goal=standard_y_width);
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top_width_actual = pt(a_topside_start)[1] * 2;
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echo(TopWidthTarget=top_width, PScale=profile_radius_scale, r=profile_radius, TopWidth=top_width_actual, StringSpacing=(top_width-y_width_extra_mm)/(strings-1));
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}
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module fret_bumps(w=100) {
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translate([fingerboard_max_thick - fret_width/2, w/2, -z_offset + fsl(from_fret)])
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translate([fingerboard_max_thick - fret_width/2, w/2, fsl(from_fret)])
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rotate([90,0,0]) cylinder(h = w, r = zero_fret_width/2, $fn=32);
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translate([fingerboard_max_thick - fret_width/2, w/2, -z_offset])
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translate([fingerboard_max_thick - fret_width/2, w/2, 0])
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for (fret = [from_fret+1:to_fret])
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translate([0, 0, fsl(fret)])
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rotate([90,0,0]) cylinder(h = w, r = fret_width/2, $fn=32);
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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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for (fret = [from_fret:to_fret])
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o = fret_width/2 * sin(fret_angle);
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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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for (fret = [from_fret+1:to_fret])
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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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x0 = fsl(fret-1) - o,
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x1 = fsl(fret) + o,
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x_mid = (x0+x1)/2,
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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], [x_mid, y0]],
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cc = tri_circumcenter(pts),
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r = norm([x0, y1] - cc),
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r2 = r^2,
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// r2 = r^2,
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a_start = acos((x0 - cc[0])/r),
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a_end = acos((x1 - cc[0])/r),
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a_sweep = a_end - a_start,
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@ -108,20 +107,20 @@ module tube(from_fret, to_fret, scale_offset = 0, fingerboard_min_thick = 2.5, f
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rotate([90,0,0])
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// cylinder(h = w, r = r, center = true);
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linear_extrude(height = w, center = true)
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// polygon([for (i = [0:10]) [-r*sin(a_start+i*a_step), r*cos(a_start+i*a_step)]]);
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polygon([for (x = [x1-x_mid:0.05:x0-x_mid]) [-sqrt(r2 - x^2), x]]);
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polygon([for (i = [0:10]) [-r*sin(a_start+i*a_step), r*cos(a_start+i*a_step)]]);
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// polygon([for (x = [x1-x_mid:0.05:x0-x_mid]) [-sqrt(r2 - x^2), x]]);
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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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translate([0,0,Cap_Length]) linear_extrude(0.001) outline_xy(get_desired_width_scale(z_max), topside=true);
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translate([0,0,0]) linear_extrude(0.001) outline_xy(get_desired_width_scale(z_min), topside=true);
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translate([0,0,z_max]) linear_extrude(0.001) outline_xy(get_desired_top_width(z_max));
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translate([0,0,z_min]) linear_extrude(0.001) outline_xy(get_desired_top_width(z_min));
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}
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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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color("white", alpha=0.01) translate([-50,-50,z_min]) 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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@ -129,10 +128,7 @@ module tube(from_fret, to_fret, scale_offset = 0, fingerboard_min_thick = 2.5, f
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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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@ -151,34 +147,43 @@ module tube(from_fret, to_fret, scale_offset = 0, fingerboard_min_thick = 2.5, f
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// for (fret = [from_fret:to_fret])
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for (fret = [from_fret+1:to_fret]) {
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zn = fsl(fret);
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pr = get_desired_profile_radius(get_desired_width_scale(zn));
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pr = get_desired_profile_radius(get_desired_top_width(zn));
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p_x0 = pr+x_min;
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translate([p_x0, 0, zn-z_offset]) rotate([90,25,-asin((p_x0+2)/pr)])
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translate([p_x0, 0, zn]) rotate([90,25,-asin((p_x0+2)/pr)])
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translate([0, 0, pr-engrave_depth]) linear_extrude(engrave_depth+1)
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fret_number_text(fret);
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translate([p_x0, 0, zn-z_offset]) rotate([90,-25,180+asin((p_x0+2)/pr)])
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translate([p_x0, 0, zn]) rotate([90,-25,180+asin((p_x0+2)/pr)])
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translate([0, 0, pr-engrave_depth]) linear_extrude(engrave_depth+1)
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fret_number_text(fret);
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}
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}
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translate([0, 0, place_on_z0 ? -z_min : 0])
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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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linear_extrude(z_max+1) T_hole();
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fret_number_markers();
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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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tapered_T_hole(z0 = z_min, z1 = z_min+3);
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tapered_T_hole(z0 = z_max-3, z1 = z_max+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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translate([-10,10,z_max-0.5]) linear_extrude(1) text("06", size=5, halign="center", valign="center", font="Noto Sans");
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}
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color("silver")
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for (s = [0:strings-1]) {
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t = s - (strings/2) + 0.5;
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hull() {
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translate([fingerboard_max_thick+7, t*bridge_spacing, 0]) cylinder(h = 0.01, d = string_diameters[s], $fn=24);
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translate([fingerboard_max_thick+3, t*nut_spacing, fsl(0)]) cylinder(h = 0.01, d = string_diameters[s], $fn=24);
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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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// Long Bass (34")
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fret_tube(from_fret=0, to_fret=36, scale_offset=-5, nut_spacing=10, bridge_spacing=20, strings=3, string_mms=[2.54, 2.159, 1.651]);
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// Strat scale (25.5")
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translate([50, 0])
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fret_tube(from_fret=0, to_fret=30, scale_offset=0, nut_spacing=7, bridge_spacing=11, strings=6, string_mms=[0.8938, 0.8128, 0.6096, 0.4064, 0.2794, 0.2286]);
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// Smaller
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translate([100, 0])
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fret_tube(from_fret=0, to_fret=24, scale_offset=3, nut_spacing=7, bridge_spacing=11, strings=5, string_mms=[0.8938, 0.8128, 0.6096, 0.4064, 0.2794]);
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