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-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-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 |