41-EDD

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 :

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 :

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..) :The 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