How to make a Kite Guitar: Difference between revisions

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=== Adding in-between frets or fretlets ===

This section covers adding new frets or [https://Fretlets.com fretlets] (short frets that don't reach all the strings) to an already completed Kite guitar. The fret you are adding may or may not have a tang, and you may or may not need to cut a fret slot for it. ~~Tangless~~ frets ~~are~~ secured with glue or two-sided tape. You can place ~~them~~ temporarily with ordinary tape over the top of each, and check the cents with a tuner. Or you can use the following formulas.

This section covers adding new frets or [https://Fretlets.com fretlets] (short frets that don't reach all the strings) to an already completed Kite guitar. The fret you are adding may or may not have a tang, and you may or may not need to cut a fret slot for it. A tangless frets is secured with glue or two-sided tape. You can place it temporarily with ordinary tape over the top of each, and check the cents with a tuner. Or you can use the following formulas.

To add <u>tangless</u> frets, measure X and F like so:

[[File:FretletPlacement1.jpg|none|thumb]]

The new fret will not be exactly equidistant from the neighboring frets. It will be slightly closer to the higher one. The formulas are:

* D1 = (X + F) / (1/K + 1) - F/2 (edge-to-edge distance from the lower fret to the new fret)

* D2 = (X + F) / (K + 1) - F/2 (edge-to-edge distance from the new fret to the higher fret)

* K = 41st root of 2 = 2 ^ (1/41) = 1.017049

* 1/K + 1 = 1.983

* K + 1 = 2.017

~~(pic~~ of ~~fretlet pushed up against~~ the ~~fret~~, ~~with X~~ and ~~F marked with arrows~~)

F/2 is subtracted so that one can measure from the edge of the frets, not the center. K is a constant for all Kite guitars. F is a constant for a specific Kite guitar and the specific fretwire used for the new frets. (This formula works even if the original frets and the new frets are different widths.) X needs to be measured repeatedly for each fret added.

~~The~~ new fret ~~will not be exactly equidistant from~~ the ~~neighboring frets~~, but ~~will rather be slightly closer to~~ the ~~higher one~~. ~~The formulas are~~:

Use either D1 or D2, or both, to place the fret.

[[File:FretletPlacement2.jpg|none|thumb]]

If one is instead cutting a fret-slot for a fret with a tang, D1 and D2 are the distances from the edge of the original fret to the center of the new fret slot. Use the same formulas, but measure X and F like so:

[[File:FretletPlacement3.jpg|none|thumb]]

Incidentally, these formulas work for any edo. Just change the value of K. If adding frets to a 12-edo guitar to convert it to 24edo:

~~D1 = (X + F)/(1 + 1/K) - F/2 (edge-to-edge distance from the lower fret to the new fret)~~

* K = 24th root of 2 = 2 ^ (1/24) = 1.0293

* 1/K = 2 ^ (-1/24)= 0.9715

~~D2 = (X + F)/(1 + K) - F/2 (edge-to-edge distance from the new fret to the higher fret)~~

~~K = 41st root of 2 = 2 ^ (1/41) = 1.017049~~

~~1 + K = 2.017~~

~~1 + 1/K = 1.9832~~

F/2 is subtracted so that one can measure from the edge of the frets, not the center. K is a constant for all Kite guitars. F is a constant for a specific Kite guitar and the specific fretwire used for the new frets. (This formula works even if the original frets and the new frets are different widths.) X needs to be measured repeatedly for each fretlet added.

~~(pic of properly placed fretlet, with D1 and D2 marked)~~

~~If one is instead cutting a fretslot for a fret with a tang, D1 and D2 are the distances from the edge of the original fret to the center of the new fret slot. Measure X and F like so:~~

~~(pic like first one, but no fretlet)~~

~~By the way, these formulas work for any edo. Just change the value of K. If adding frets to a 12-edo guitar to convert it to 24edo:~~

K = 24th root of 2 = 2 ^ (1/24) = 1.~~029302~~

1/K = 2 ^ (-1/24)= 0.~~971532~~

==Fret Markers==

@@ Line 316: / Line 316: @@
 === Adding in-between frets or fretlets ===
-This section covers adding new frets or [https://Fretlets.com fretlets] (short frets that don't reach all the strings) to an already completed Kite guitar. The fret you are adding may or may not have a tang, and you may or may not need to cut a fret slot for it. Tangless frets are secured with glue or two-sided tape. You can place them temporarily with ordinary tape over the top of each, and check the cents with a tuner. Or you can use the following formulas.
+This section covers adding new frets or [https://Fretlets.com fretlets] (short frets that don't reach all the strings) to an already completed Kite guitar. The fret you are adding may or may not have a tang, and you may or may not need to cut a fret slot for it. A tangless frets is secured with glue or two-sided tape. You can place it temporarily with ordinary tape over the top of each, and check the cents with a tuner. Or you can use the following formulas.
 To add <u>tangless</u> frets, measure X and F like so:
+[[File:FretletPlacement1.jpg|none|thumb]]
+The new fret will not be exactly equidistant from the neighboring frets. It will be slightly closer to the higher one. The formulas are:
+* D1 = (X + F) / (1/K + 1) - F/2 (edge-to-edge distance from the lower fret to the new fret)
+* D2 = (X + F) / (K + 1) - F/2   (edge-to-edge distance from the new fret to the higher fret)
+* K = 41st root of 2 = 2 ^ (1/41) = 1.017049
+* 1/K + 1 = 1.983
+* K + 1 = 2.017
-(pic of fretlet pushed up against the fret, with X and F marked with arrows)
+F/2 is subtracted so that one can measure from the edge of the frets, not the center. K is a constant for all Kite guitars. F is a constant for a specific Kite guitar and the specific fretwire used for the new frets. (This formula works even if the original frets and the new frets are different widths.) X needs to be measured repeatedly for each fret added.
-The new fret will not be exactly equidistant from the neighboring frets, but will rather be slightly closer to the higher one. The formulas are:
+Use either D1 or D2, or both, to place the fret.
+[[File:FretletPlacement2.jpg|none|thumb]]
+If one is instead cutting a fret-slot for a fret with a tang, D1 and D2 are the distances from the edge of the original fret to the center of the new fret slot. Use the same formulas, but measure X and F like so:
+[[File:FretletPlacement3.jpg|none|thumb]]
+Incidentally, these formulas work for any edo. Just change the value of K. If adding frets to a 12-edo guitar to convert it to 24edo:
-D1 = (X + F)/(1 + 1/K) - F/2 (edge-to-edge distance from the lower fret to the new fret)
+* K = 24th root of 2 = 2 ^ (1/24) = 1.0293
+* 1/K = 2 ^ (-1/24)=  0.9715
-D2 = (X + F)/(1 + K) - F/2    (edge-to-edge distance from the new fret to the higher fret)
-K = 41st root of 2 = 2 ^ (1/41) = 1.017049
-+ K = 2.017
-+ 1/K = 1.9832
-F/2 is subtracted so that one can measure from the edge of the frets, not the center. K is a constant for all Kite guitars. F is a constant for a specific Kite guitar and the specific fretwire used for the new frets. (This formula works even if the original frets and the new frets are different widths.) X needs to be measured repeatedly for each fretlet added.
-(pic of properly placed fretlet, with D1 and D2 marked)
-If one is instead cutting a fretslot for a fret with a tang, D1 and D2 are the distances from the edge of the original fret to the center of the new fret slot. Measure X and F like so:
-(pic like first one, but no fretlet)
-By the way, these formulas work for any edo. Just change the value of K. If adding frets to a 12-edo guitar to convert it to 24edo:
-K = 24th root of 2 = 2 ^ (1/24) = 1.029302
-/K = 2 ^ (-1/24)=  0.971532
 ==Fret Markers==