41-EDD

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Dot-Guide for 41-EDD instruments

41-EDD Fretboard is based on the formula (Scale_Length/(2^(x/41))). 41-EDD is the third EDD (after of 19 & 31 EDDs for Classic formers, and 16 & 25 for Armodue formers) with a great importance for musical intonation.

Aaron Andrew Hunt had advocate in his complex (but necessary) keyboards with the 41-EDD as elemental basis for his proper musical praxis with the 205-EDD (each interval is a JND), a triumph achieved inside his musical academic trajectory (and a great respect to his person).

Now, referring to fretted string instruments, 41-EDD have much variety for notation schemes, between those are Diatonic, Superdiatonic (Armodue), Bohlen-Pierce and 88cET approx, just for mention a few.

A new level ground for dot-guiding a 41-EDD fretboard is with this :

Diapasón 41-EDD 0.png

The dots are in the places 8· 13· 18· 23· 28· 33· 41: 49· 54· 59· 64· & 69· denoting a scale of 2L5s 8;5 Relation, 8 5 5 5 5 5 8.

A second 'Badass' dot-guide is this :

Diapasón 41-EDD 1.png

The dots are in the places 5· 6· 11· 12· 17· 18· 23· 24· 29· 30· 35· 36· 41: 46· 47· 52· 53· 58· 59· 64· 65· & 70 denoting a scale of 7L6s 5;1 Relation, 5 1 5 1 5 1 5 1 5 1 5 1 5.

Step (form 1) Purdal size Cent size | Step (form 2) Purdal size Cent size
01 241,46 29.268 | 01 241,46 29.268
02 482,93 58.537 | 02 482,93 58.537
03 724,39 87.805 | 03 724,39 87.805
04 965,85 117.073 | 04 965,85 117.073
05 1207,32 146.341 | 05· 1207,32 146.341
06 1448,78 175.61 | 06· 1448,78 175.61
07 1690,24 204.878 | 07 1690,24 204.878
08· 1931,71 234.146 | 08 1931,71 234.146
09 2173,17 263.415 | 09 2173,17 263.415
10 2414,63 292.683 | 10 2414,63 292.683
11 2656,1 321.951 | 11· 2656,1 321.951
12 2897,56 351.22 | 12· 2897,56 351.22
13· 3139,02 380.488 | 13 3139,02 380.488
14 3380,49 409.756 | 14 3380,49 409.756
15 3621,95 439.024 | 15 3621,95 439.024
16 3863,41 468.293 | 16 3863,41 468.293
17 4104,88 497.561 | 17· 4104,88 497.561
18· 4346,34 526.829 | 18· 4346,34 526.829
19 4587,8 556.098 | 19 4587,8 556.098
20 4829,27 585.366 | 20 4829,27 585.366
21 5070,73 614.634 | 21 5070,73 614.634
22 5312,2 643.902 | 22 5312,2 643.902
23· 5553,66 673.171 | 23· 5553,66 673.171
24 5795,12 702.439 | 24· 5795,12 702.439
25 6036,59 731.707 | 25 6036,59 731.707
26 6278,05 760.976 | 26 6278,05 760.976
27 6519,51 790.244 | 27 6519,51 790.244
28· 6760,98 819.512 | 28 6760,98 819.512
29 7002,44 848.78 | 29· 7002,44 848.78
30 7243,9 878.049 | 30· 7243,9 878.049
31 7485,37 907.317 | 31 7485,37 907.317
32 7726,83 936.585 | 32 7726,83 936.585
33· 7968,29 965.854 | 33 7968,29 965.854
34 8209,76 995.122 | 34 8209,76 995.122
35 8451,22 1024.39 | 35· 8451,22 1024.39
36 8692,68 1053.659 | 36· 8692,68 1053.659
37 8934,15 1082.927 | 37 8934,15 1082.927
38 9175,61 1112.195 | 38 9175,61 1112.195
39 9417,07 1141.463 | 39 9417,07 1141.463
40 9658,54 1170.732 | 40 9658,54 1170.732
41\0: 9900\0 1200\0 | 41\0: 9900\0 1200\0

And, for last, 'The Classic Regular' dot-guide (heheh..) :Diapasón 41-EDD 2.pngThe dots are in the places 10· 17· 24· 31· 41: 51· 58· & 65· denoting a scale of 2L3s 10;7 Relation, 10 7 7 7 10.

Step Purdal size Cent size
01 241,46 29.268
02 482,93 58.537
03 724,39 87.805
04 965,85 117.073
05 1207,32 146.341
06 1448,78 175.61
07 1690,24 204.878
08 1931,71 234.146
09 2173,17 263.415
10· 2414,63 292.683
11 2656,1 321.951
12 2897,56 351.22
13 3139,02 380.488
14 3380,49 409.756
15 3621,95 439.024
16 3863,41 468.293
17· 4104,88 497.561
18 4346,34 526.829
19 4587,8 556.098
20 4829,27 585.366
21 5070,73 614.634
22 5312,2 643.902
23 5553,66 673.171
24· 5795,12 702.439
25 6036,59 731.707
26 6278,05 760.976
27 6519,51 790.244
28 6760,98 819.512
29 7002,44 848.78
30 7243,9 878.049
31· 7485,37 907.317
32 7726,83 936.585
33 7968,29 965.854
34 8209,76 995.122
35 8451,22 1024.39
36 8692,68 1053.659
37 8934,15 1082.927
38 9175,61 1112.195
39 9417,07 1141.463
40 9658,54 1170.732
41\0: 9900\0 1200\0