23-EDD

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Dot-Guide for 23-EDD instruments

23-EDD Fretboard is based on the formula (Scale_Length/(2^(x/23))). 23-EDD guard relation with the superdiatonic dot-guide beside of 16-EDD, because adapts perfectly the Armodue theory, but like 1/3-tone 3;1 relation, like its parallel homologue in 17-EDD with 12-EDD :

23-EDD Fretboard 0.png
23-EDD Superdiatonic Dot-Guide

The dots are in the places 4· 7· 10· 13· 16· 19· 23: 27· 30· 33· 36· 39· 42· 46: 50· denoting a scale of 2L5s 4;3 Relation, 4 3 3 3 3 3 4.

Step Purdal size Cent size
01 430,4 52.17
02 860,9 104.35
03 1291,3 156.52
04· 1721,7 208.7
05 2152,2 260.87
06 2582,6 313.04
07· 3013 365.22
08 3443,5 417.39
09 3873,9 469.57
10· 4304,3 521.74
11 4734,8 573.91
12 5165,2 626.09
13· 5595,7 678.26
14 6026,1 730.43
15 6456,5 782.61
16· 6887 834.78
17 7317,4 886.96
18 7747,8 939.13
19· 8178,3 991.3
20 8608,7 1043.48
21 9039,1 1095.65
22 9469,6 1147.83
23\0: 9900\0 1200\0

A second version for 23-EDD dot-guide, is like Chris Vaisvil's approach:

23-EDD Fretboard 1.png
23-EDD Chris Vaisvil Dot-Guide

The dots are in the places 5· 9· 14· 18· 23: 28· 32· 37· 41· 46: denoting a scale of 3L2s 5;4 Relation, 5 4 5 4 5.

Step Purdal size Cent size
01 430,4 52.17
02 860,9 104.35
03 1291,3 156.52
04 1721,7 208.7
05· 2152,2 260.87
06 2582,6 313.04
07 3013 365.22
08 3443,5 417.39
09· 3873,9 469.57
10 4304,3 521.74
11 4734,8 573.91
12 5165,2 626.09
13 5595,7 678.26
14· 6026,1 730.43
15 6456,5 782.61
16 6887 834.78
17 7317,4 886.96
18· 7747,8 939.13
19 8178,3 991.3
20 8608,7 1043.48
21 9039,1 1095.65
22 9469,6 1147.83
23\0: 9900\0 1200\0

A last option for dot-guide, is visually more simple, but intrinsic:

23-EDD Fretboard 2.png
23-EDD 'El Intrínseco' Dot-Guide

The dots are in the places 5· 6· 11· 12· 17· 18· 23: 28· 29· 34· 35· 40· 41· 46: denoting a scale of 4L3s 5;1 Relation, 5 1 5 1 5 1 5.

Step Purdal size Cent size
01 430,4 52.17
02 860,9 104.35
03 1291,3 156.52
04 1721,7 208.7
05· 2152,2 260.87
06· 2582,6 313.04
07 3013 365.22
08 3443,5 417.39
09 3873,9 469.57
10 4304,3 521.74
11· 4734,8 573.91
12· 5165,2 626.09
13 5595,7 678.26
14 6026,1 730.43
15 6456,5 782.61
16 6887 834.78
17· 7317,4 886.96
18· 7747,8 939.13
19 8178,3 991.3
20 8608,7 1043.48
21 9039,1 1095.65
22 9469,6 1147.83
23\0: 9900\0 1200\0