46-EDD

Dot-Guide for 46-EDD instruments

46-EDD Fretboard is based on the formula (Scale_Length/(2^(x/46))). 46-EDD, the 'Chromosomic System', is the begin of the complexest EDDs not capable for fret in guitars, because its very thin spaces not comforms the finger positions. For a better employment of 46-EDD, a short bass scale length is an adequate idea for play in it (818mm [32.2"] is the best suited).

This case, the dots follows a scale of 2L3s 11;8 Relation, placing the dots in the spaces 11· 19· 27· 35· 46: 57· 65· 73· & 81· (11 8 8 8 11) :

Step	Purdal size	Cent size
01	215,22	26.087
02	430,43	52.174
03	645,65	78.261
04	860,87	104.348
05	1076,09	130.435
06	1291,3	156.522
07	1506,52	182.609
08·	1721,74	208.696
09	1936,96	234.783
10	2152,17	260.87
11·	2367,39	286.957
12	2582,61	313.043
13	2797,83	339.13
14	3013,04	365.217
15	3228,26	391.304
16	3443,48	417.391
17	3658,7	443.478
18	3873,91	469.565
19·	4089,13	495.652
20	4304,35	521.739
21	4519,57	547.826
22	4734,78	573.913
23	4950	600
24	5165,22	626.087
25	5380,43	652.174
26	5595,65	678.261
27·	5810,87	704.348
28	6026,09	730.435
29	6241,3	756.522
30	6456,52	782.609
31	6671,74	808.696
32	6886,96	834.783
33	7102,17	860.87
34	7317,39	886.957
35·	7532,61	913.043
36	7747,83	939.13
37	7963,04	965.217
38	8178,26	991.304
39	8393,48	1017.391
40	8608,7	1043.478
41	8823,91	1069.565
42	9039,13	1095.652
43	9254,35	1121.739
44	9469,57	1147.826
45	9684,78	1173.913
46\0:	9900\0	1200\0

Other case for 46-EDD dot-guide, is with this hexatonic scale of 2L4s 9;7 Relation, placing the dots in the spaces 9· 16· 23· 30· 37· 46: 55· 62· 69· & 76· (9 7 7 7 7 9) :

Step	Purdal size	Cent size
01	215,22	26.087
02	430,43	52.174
03	645,65	78.261
04	860,87	104.348
05	1076,09	130.435
06	1291,3	156.522
07	1506,52	182.609
08	1721,74	208.696
09·	1936,96	234.783
10	2152,17	260.87
11	2367,39	286.957
12	2582,61	313.043
13	2797,83	339.13
14	3013,04	365.217
15	3228,26	391.304
16·	3443,48	417.391
17	3658,7	443.478
18	3873,91	469.565
19	4089,13	495.652
20	4304,35	521.739
21	4519,57	547.826
22	4734,78	573.913
23·	4950	600
24	5165,22	626.087
25	5380,43	652.174
26	5595,65	678.261
27	5810,87	704.348
28	6026,09	730.435
29	6241,3	756.522
30·	6456,52	782.609
31	6671,74	808.696
32	6886,96	834.783
33	7102,17	860.87
34	7317,39	886.957
35	7532,61	913.043
36	7747,83	939.13
37·	7963,04	965.217
38	8178,26	991.304
39	8393,48	1017.391
40	8608,7	1043.478
41	8823,91	1069.565
42	9039,13	1095.652
43	9254,35	1121.739
44	9469,57	1147.826
45	9684,78	1173.913
46\0:	9900\0	1200\0

And, other form for 46-EDD dot-guide is like the 1/6-tone version of Hornbostel system, the 23-EDD dot-guide in 8;6 Relation, placing the dots in the spaces 8· 14· 20· 26· 32· 38· 46: 54· 60· 66· 72· & 78· (8 6 6 6 6 6 8) :

Step	Purdal size	Cent size
01	215,22	26.087
02	430,43	52.174
03	645,65	78.261
04	860,87	104.348
05	1076,09	130.435
06	1291,3	156.522
07	1506,52	182.609
08·	1721,74	208.696
09	1936,96	234.783
10	2152,17	260.87
11	2367,39	286.957
12	2582,61	313.043
13	2797,83	339.13
14·	3013,04	365.217
15	3228,26	391.304
16	3443,48	417.391
17	3658,7	443.478
18	3873,91	469.565
19	4089,13	495.652
20·	4304,35	521.739
21	4519,57	547.826
22	4734,78	573.913
23	4950	600
24	5165,22	626.087
25	5380,43	652.174
26·	5595,65	678.261
27	5810,87	704.348
28	6026,09	730.435
29	6241,3	756.522
30	6456,52	782.609
31	6671,74	808.696
32·	6886,96	834.783
33	7102,17	860.87
34	7317,39	886.957
35	7532,61	913.043
36	7747,83	939.13
37	7963,04	965.217
38·	8178,26	991.304
39	8393,48	1017.391
40	8608,7	1043.478
41	8823,91	1069.565
42	9039,13	1095.652
43	9254,35	1121.739
44	9469,57	1147.826
45	9684,78	1173.913
46\0:	9900\0	1200\0