37-EDD
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Dot-Guide for 37-EDD instruments
37-EDD Fretboard is based on the formula (Scale_Length/(2^(x/37))). 37-EDD is a sort of 2 musical vocabulary in itself: Porcupine and Bipelog. Because that, the Diatonic scale is so distorted, makes the relation of its intervals 7;1 !!! Well, principally the Dot-Guide for 37-EDD rounds on 2L3s 8;7 Relation & 2L5s 6;5 Relation :
The dots are in the places (form 1) 8· 15· 22· 29· 37: 45· 52· 59· & 66· (form 2) 6· 11· 16· 21· 26· 31· 37: 43· 48· 53· 58· & 63·
Step (form 1) | Purdal size | Cent size | | | Step (form 2) | Purdal size | Cent size |
01 | 267,567 | 32.432 | | | 01 | 267,567 | 32.432 |
02 | 535,135 | 64.864 | | | 02 | 535,135 | 64.864 |
03 | 802,702 | 97.297 | | | 03 | 802,702 | 97.297 |
04 | 1070,270 | 129.729 | | | 04 | 1070,270 | 129.729 |
05 | 1337,837 | 162.162 | | | 05 | 1337,837 | 162.162 |
06 | 1605,405 | 194.594 | | | 06· | 1605,405 | 194.594 |
07 | 1872,972 | 227.027 | | | 07 | 1872,972 | 227.027 |
08· | 2140,540 | 259.459 | | | 08 | 2140,540 | 259.459 |
09 | 2408,108 | 291.891 | | | 09 | 2408,108 | 291.891 |
10 | 2675,675 | 324.324 | | | 10 | 2675,675 | 324.324 |
11 | 2943,243 | 356.756 | | | 11· | 2943,243 | 356.756 |
12 | 3210,810 | 389.189 | | | 12 | 3210,810 | 389.189 |
13 | 3478,378 | 421.621 | | | 13 | 3478,378 | 421.621 |
14 | 3745,945 | 454.054 | | | 14 | 3745,945 | 454.054 |
15· | 4013,513 | 486.486 | | | 15 | 4013,513 | 486.486 |
16 | 4281,081 | 518.918 | | | 16· | 4281,081 | 518.918 |
17 | 4548,648 | 551.351 | | | 17 | 4548,648 | 551.351 |
18 | 4816,216 | 583.783 | | | 18 | 4816,216 | 583.783 |
19 | 5083,783 | 616.216 | | | 19 | 5083,783 | 616.216 |
20 | 5351,351 | 648.648 | | | 20 | 5351,351 | 648.648 |
21 | 5618,918 | 681.081 | | | 21· | 5618,918 | 681.081 |
22· | 5886,486 | 713.513 | | | 22 | 5886,486 | 713.513 |
23 | 6154,054 | 745.945 | | | 23 | 6154,054 | 745.945 |
24 | 6421,621 | 778.378 | | | 24 | 6421,621 | 778.378 |
25 | 6689,189 | 810.810 | | | 25 | 6689,189 | 810.810 |
26 | 6956,756 | 843.243 | | | 26· | 6956,756 | 843.243 |
27 | 7224,324 | 875.675 | | | 27 | 7224,324 | 875.675 |
28 | 7491,891 | 908.108 | | | 28 | 7491,891 | 908.108 |
29· | 7759,459 | 940.540 | | | 29 | 7759,459 | 940.540 |
30 | 8027,027 | 972.972 | | | 30 | 8027,027 | 972.972 |
31 | 8294,594 | 1005.405 | | | 31· | 8294,594 | 1005.405 |
32 | 8562,162 | 1037.837 | | | 32 | 8562,162 | 1037.837 |
33 | 8829,729 | 1070.270 | | | 33 | 8829,729 | 1070.270 |
34 | 9097,297 | 1102.702 | | | 34 | 9097,297 | 1102.702 |
35 | 9364,864 | 1135.135 | | | 35 | 9364,864 | 1135.135 |
36 | 9632,432 | 1167.567 | | | 36 | 9632,432 | 1167.567 |
37\0: | 9900\0 | 1200\0 | | | 37\0: | 9900\0 | 1200\0 |
No obstantly, a third possibility fits on :
The dots are in the places 5· 8· 13· 16· 21· 24· 29· 32· 37: 42· 45· 50· 53· 58· 61· & 66· denoting a scale of 5L4s 5;3 Relation, 5 3 5 3 5 3 5 3 5.
Step | Purdal size | Cent size |
01 | 267,567 | 32.432 |
02 | 535,135 | 64.864 |
03 | 802,702 | 97.297 |
04 | 1070,270 | 129.729 |
05· | 1337,837 | 162.162 |
06 | 1605,405 | 194.594 |
07 | 1872,972 | 227.027 |
08· | 2140,540 | 259.459 |
09 | 2408,108 | 291.891 |
10 | 2675,675 | 324.324 |
11 | 2943,243 | 356.756 |
12 | 3210,810 | 389.189 |
13· | 3478,378 | 421.621 |
14 | 3745,945 | 454.054 |
15 | 4013,513 | 486.486 |
16· | 4281,081 | 518.918 |
17 | 4548,648 | 551.351 |
18 | 4816,216 | 583.783 |
19 | 5083,783 | 616.216 |
20 | 5351,351 | 648.648 |
21· | 5618,918 | 681.081 |
22 | 5886,486 | 713.513 |
23 | 6154,054 | 745.945 |
24· | 6421,621 | 778.378 |
25 | 6689,189 | 810.810 |
26 | 6956,756 | 843.243 |
27 | 7224,324 | 875.675 |
28 | 7491,891 | 908.108 |
29· | 7759,459 | 940.540 |
30 | 8027,027 | 972.972 |
31 | 8294,594 | 1005.405 |
32· | 8562,162 | 1037.837 |
33 | 8829,729 | 1070.270 |
34 | 9097,297 | 1102.702 |
35 | 9364,864 | 1135.135 |
36 | 9632,432 | 1167.567 |
37\0: | 9900\0 | 1200\0 |