23-EDD
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 :
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| 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:
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| 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 '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 |