39-EDD

Dot-Guide for 39-EDD instruments

39-EDD Fretboard is based on the formula (Scale_Length/(2^(x/39))). Well, with a first certain, Charles Clagget (1740? - 1795, Ireland) did an instrument, a piano with 39 equal intervals per Ditave, called by he, Teliochordon (little extract here). 39-EDD is a system that no calls much the attention, include betweeen xentonal-ekmelic-xenharmonic dudes, maybe a unique piece made by Ivor Darreg called 39 notes FM Synth and Carrillon. Is interesting how fits very well the Armodue notation on 39-EDD like 1/5-tone 5;2 Relation, making of it a quick assimilation for an easy learning of this special Tuning over this special EDD together.

So, a first instance for a dot-guide on 39-EDD fretboard is this :

The dots are in the places 7· 12· 17· 22· 27· 32· 39: 46· 51· 56· 61· & 66· denoting a scale of 2L5s 7;5 Relation, 7 5 5 5 5 5 7.

A second integer for a dot-guiding is this :

The dots are in the places 7· 8· 15· 16· 23· 24· 31· 32· 39: 46· 47· 54· 55· 62· & 67· denoting a scale of 5L4s 7;1 Relation, 7 1 7 1 7 1 7 1 7.

Step (form 1)	Purdal size	Cent size	|	Step (form 2)	Purdal size	Cent size
01	253,85	30.769	|	01	253,85	30.769
02	507,69	61.538	|	02	507,69	61.538
03	761,54	92.308	|	03	761,54	92.308
04	1015,38	123.077	|	04	1015,38	123.077
05	1269,23	153.846	|	05	1269,23	153.846
06	1523,08	184.615	|	06	1523,08	184.615
07·	1776,92	215.385	|	07·	1776,92	215.385
08	2030,77	246.154	|	08·	2030,77	246.154
09	2284,62	276.923	|	09	2284,62	276.923
10	2538,46	307.692	|	10	2538,46	307.692
11	2792,31	338.462	|	11	2792,31	338.462
12·	3046,15	369.231	|	12	3046,15	369.231
13	3300	400	|	13	3300	400
14	3553,85	430.769	|	14	3553,85	430.769
15	3807,69	461.538	|	15·	3807,69	461.538
16	4061,54	492.308	|	16·	4061,54	492.308
17·	4315,38	523.077	|	17	4315,38	523.077
18	4569,23	553.846	|	18	4569,23	553.846
19	4823,08	584.615	|	19	4823,08	584.615
20	5076,92	615.385	|	20	5076,92	615.385
21	5330,77	646.154	|	21	5330,77	646.154
22·	5584,62	676.923	|	22	5584,62	676.923
23	5838,46	707.692	|	23·	5838,46	707.692
24	6092,31	738.462	|	24·	6092,31	738.462
25	6346,15	769.231	|	25	6346,15	769.231
26	6600	800	|	26	6600	800
27·	6853,85	830.769	|	27	6853,85	830.769
28	7107,69	861.538	|	28	7107,69	861.538
29	7361,54	892.308	|	29	7361,54	892.308
30	7615,38	923.077	|	30	7615,38	923.077
31	7869,23	953.846	|	31·	7869,23	953.846
32·	8123,08	984.615	|	32·	8123,08	984.615
33	8376,92	1015.385	|	33	8376,92	1015.385
34	8630,77	1046.154	|	34	8630,77	1046.154
35	8884,62	1076.923	|	35	8884,62	1076.923
36	9138,46	1107.692	|	36	9138,46	1107.692
37	9392,31	1138.462	|	37	9392,31	1138.462
38	9646,15	1169.231	|	38	9646,15	1169.231
39\0:	9900\0	1200\0	|	39\0:	9900\0	1200\0

Another dot-guide for a 39-EDD fretboard is :

The dots are in the places 7· 14· 16· 23· 25· 32· 39: 46· 53· 55· 62· & 64· denoting a scale of 5L2s 7;2 Relation, 7 7 2 7 2 7 7.

Step	Purdal size	Cent size
01	253,85	30.769
02	507,69	61.538
03	761,54	92.308
04	1015,38	123.077
05	1269,23	153.846
06	1523,08	184.615
07·	1776,92	215.385
08	2030,77	246.154
09	2284,62	276.923
10	2538,46	307.692
11	2792,31	338.462
12	3046,15	369.231
13	3300	400
14·	3553,85	430.769
15	3807,69	461.538
16·	4061,54	492.308
17	4315,38	523.077
18	4569,23	553.846
19	4823,08	584.615
20	5076,92	615.385
21	5330,77	646.154
22	5584,62	676.923
23·	5838,46	707.692
24	6092,31	738.462
25·	6346,15	769.231
26	6600	800
27	6853,85	830.769
28	7107,69	861.538
29	7361,54	892.308
30	7615,38	923.077
31	7869,23	953.846
32·	8123,08	984.615
33	8376,92	1015.385
34	8630,77	1046.154
35	8884,62	1076.923
36	9138,46	1107.692
37	9392,31	1138.462
38	9646,15	1169.231
39\0:	9900\0	1200\0

Note that here in all the fretboards, the first dot starts on the 7th fret-space (and its inverse on the 32nd fret-space).