26-EDD

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Dot-Guide for 26-EDD instruments

26-EDD Fretboard is based on the formula (Scale_Length/(2^(x/26))). This EDD have the particularity of not contain in its regular structure the traditional Tone of 9/8 ratio, instead it have 2 options for lead the tone: 10/9 or 8/7 ratios, each interval in the steps 4 and 5 of 26-EDD with a tiny detour of error in its representativeness. A first form for dot-guiding a 26-EDD fretboard is, by the way, the common 2L3s spots :

Diapasón 26-EDD 0.pngThe dots are in the places 7· 11· 15· 19· 26: 33· 37· 41· 45· 52: 59· denoting a scale of 2L3s 7;4 Relation, 7 4 4 4 7.

Step Purdal size Cent size
01 380,8 46.15
02 761,5 92.31
03 1142,3 138.46
04 1523,1 184.62
05 1903,8 230.77
06 2284,6 276.92
07· 2665,4 323.08
08 3046,2 369.23
09 3426,9 415.38
10 3807,7 461.54
11· 4188,5 507.69
12 4569,2 553.85
13 4950 600
14 5330,8 646.15
15· 5711,5 692.31
16 6092,3 738.46
17 6473,1 784.62
18 6853,8 830.77
19· 7234,6 876.92
20 7615,4 923.08
21 7996,2 969.23
22 8376,9 1015.38
23 8757,7 1061.54
24 9138,5 1107.69
25 9519,2 1153.85
26\0: 9900\0 1200\0

A second form for put the dot-guide on the fretboard, maybe like the 13-EDD scheme :

Diapasón 26-EDD 1.pngThe dots are in the places 6· 10· 16· 20· 26: 32· 36· 42· 46· 52: 58· denoting a scale of 3L2s 6;4 Relation, 6 4 6 4 6.

Step Purdal size Cent size
01 380,8 46.15
02 761,5 92.31
03 1142,3 138.46
04 1523,1 184.62
05 1903,8 230.77
06· 2284,6 276.92
07 2665,4 323.08
08 3046,2 369.23
09 3426,9 415.38
10· 3807,7 461.54
11 4188,5 507.69
12 4569,2 553.85
13 4950 600
14 5330,8 646.15
15 5711,5 692.31
16· 6092,3 738.46
17 6473,1 784.62
18 6853,8 830.77
19 7234,6 876.92
20· 7615,4 923.08
21 7996,2 969.23
22 8376,9 1015.38
23 8757,7 1061.54
24 9138,5 1107.69
25 9519,2 1153.85
26\0: 9900\0 1200\0

A third way for dot-guide is like the similar 14-EDD form :

Diapasón 26-EDD 2.png

The dots are in the places 5· 9· 13· 17· 21· 26: 31· 35· 39· 43· 47· 52: 57· denoting a scale of 2L4s 5;4 Relation, 5 4 4 4 4 5, perhaps denoting a better approach over the 26-EDD fretboard.

Step Purdal size Cent size
01 380,8 46.15
02 761,5 92.31
03 1142,3 138.46
04 1523,1 184.62
05· 1903,8 230.77
06 2284,6 276.92
07 2665,4 323.08
08 3046,2 369.23
09· 3426,9 415.38
10 3807,7 461.54
11 4188,5 507.69
12 4569,2 553.85
13· 4950 600
14 5330,8 646.15
15 5711,5 692.31
16 6092,3 738.46
17· 6473,1 784.62
18 6853,8 830.77
19 7234,6 876.92
20 7615,4 923.08
21· 7996,2 969.23
22 8376,9 1015.38
23 8757,7 1061.54
24 9138,5 1107.69
25 9519,2 1153.85
26\0: 9900\0 1200\0

Note that the 21st step denotes the 7/4 interval and its inverse 8/7 in the 5th step, both with a deviation of +- 3,4 Purdals (+- 0.4 Cents).