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:
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 "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 "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
|
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.
