15-EDD

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Dot-Guide for 15-EDD instruments

15-EDD Fretboard is based on the formula (Scale_Length/(2^(x/15))). 15-EDD characterise it by the factorizacion of the prime numbers 3 and 5, being enough interesting for musical purposes. A way for visualize 15-EDD on the fretboard is with the 5-EDD subset :

15-EDO_Dot-Guide_0.png
15-EDD equal-sized Dot-Guide

In principle, can denote to 15-EDD like a 1/3-tone version of equal-sized 10-EDD dot-guide, in fact, 15-EDD grants a high consistency in itself, but this way can be valid too:

15-EDO_Dot-Guide_1.png
15-EDD Alternative Dot-Guide

The dots are in the places 3· 4· 7· 8· 11· 12· 15: 18· 19· 22· 23· 26· 27· 30: & 33· consolidating a very nice and decorative symmetric dot-guide over 15-EDD fretboard, and denoting a scale of 4L3s 3;1 Relation, 3 1 3 1 3 1 3.

Step (form 1) Purdal size Cent size | Step (form 2) Purdal size Cent size
01 660 80 | 01 660 80
02 1320 160 | 02 1320 160
03· 1980 240 | 03· 1980 240
04 2640 320 | 04· 2640 320
05 3300 400 | 05 3300 400
06· 3960 480 | 06 3960 480
07 4620 560 | 07· 4620 560
08 5280 640 | 08· 5280 640
09· 5940 720 | 09 5940 720
10 6600 800 | 10 6600 800
11 7260 880 | 11· 7260 880
12· 7920 960 | 12· 7920 960
13 8580 1040 | 13 8580 1040
14 9240 1120 | 14 9240 1120
15\0: 9900\0 1200\0 | 15\0: 9900\0 1200\0