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