21-EDD

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Dot-Guide for 21-EDD instruments

21-EDD Fretboard is based on the formula (Scale_Length/(2^(x/21))). Well, a dot-guide for 21-EDD in first instance would be like 13 & 18 EDDs, as see below:21-EDD Fretboard 0.png The dots are in the places 5· 8· 13· 16· 21: 26· 29· 34· 37· 42: 47· denoting a scale of 3L2s 5;3 Relation, 5 3 5 3 5.

Step Purdal size Cent size
01 471,4 57.14
02 942,9 114.29
03 1414,3 171.43
04 1885,7 228.57
05· 2357,1 285.71
06 2828,6 342.86
07 3300 400
08· 3771,4 457.14
09 4242,9 514.29
10 4714,3 571.43
11 5185,7 628.57
12 5657,1 685.71
13· 6128,6 742.86
14 6600 800
15 7071,4 857.14
16· 7542,9 914.29
17 8014,3 971.43
18 8485,7 1028.57
19 8957,1 1085.71
20 9428,6 1142.86
21\0: 9900\0 1200\0

Another type of dot-guide is with Mark Allan Barnes 14-EDD homologous :

21-EDD Fretboard 1.png
21-EDD "Triple Septum" Dot-Guide

The dots are in the places 3· 6· 9· 12· 15· 18· 21: 24· 27· 30· 33· 36· 39· 42: 45· denoting the 7-EDD subset in it.

For last, a dot-guide more creative, but consistent too:

21-EDD Fretboard 2.png
21-EDD "Superbiun" Dot-Guide

The dots are in the places 3· 4· 7· 10· 11· 14· 17· 18· 21: 24· 25· 28· 31· 32· 35· 38· 39· 42: 45· & 46· denoting a scale of 6L3s 3;1 Relation, 3 1 3 3 1 3 3 1 3.

Step (form 2) Purdal size Cent size | Step (form 3) Purdal size Cent size
01 471,4 57.14 | 01 471,4 57.14
02 942,9 114.29 | 02 942,9 114.29
03· 1414,3 171.43 | 03· 1414,3 171.43
04 1885,7 228.57 | 04· 1885,7 228.57
05 2357,1 285.71 | 05 2357,1 285.71
06· 2828,6 342.86 | 06 2828,6 342.86
07 3300 400 | 07· 3300 400
08 3771,4 457.14 | 08 3771,4 457.14
09· 4242,9 514.29 | 09 4242,9 514.29
10 4714,3 571.43 | 10· 4714,3 571.43
11 5185,7 628.57 | 11· 5185,7 628.57
12· 5657,1 685.71 | 12 5657,1 685.71
13 6128,6 742.86 | 13 6128,6 742.86
14 6600 800 | 14· 6600 800
15· 7071,4 857.14 | 15 7071,4 857.14
16 7542,9 914.29 | 16 7542,9 914.29
17 8014,3 971.43 | 17· 8014,3 971.43
18· 8485,7 1028.57 | 18· 8485,7 1028.57
19 8957,1 1085.71 | 19 8957,1 1085,71
20 9428,6 1142.86 | 20 9428,6 1142.86
21\0: 9900\0 1200\0 | 21\0: 9900\0 1200\0