57-EDD

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Dot-Guide for 57-EDD instruments

57-EDD Fretboard is based on the formula (Scale_Length/(2^(x/57))). The most complex of Armodue resides here on 57-EDD. The 'but' with this, that is not comfortable for guitar, because the limt size between the cuts for put the frets is, in my consideration, 3,556mm (0.14"), and fretting a instrument with just 1 ditave is not very expansive nor generous. The solution with this system is, in the same cases of 46, 50 and 53 EDDs, applying it with a short bass scale length (818mm [32.2"]) with 84 frets.

In this first case, the dots are in Armodue position, favouring the scale 7 7 7 4 7 7 7 7 4, and the dots graphics a scale of 2L5s 11;7 Relation, in the places 11· 18· 25· 32· 39· 46· 57: 68· 75· & 82· (11 7 7 7 7 7 11) :

57-EDD Fibass 0.png

Step Purdal size Cent size
01 173,68 21.053
02 347,37 42.105
03 521,05 63.158
04 694,74 84.211
05 868,42 105.263
06 1042,11 126.316
07 1215,79 147.368
08 1389,47 168.421
09 1563,16 189.474
10 1736,84 210.526
11· 1910,53 231.579
12 2084,21 252.632
13 2257,89 273.684
14 2431,58 294.737
15 2605,26 315.789
16 2778,95 336.842
17 2952,63 357.895
18· 3126,32 378.947
19 3300 400
20 3473,68 421.053
21 3647,37 442.105
22 3821,05 463.158
23 3994,74 484.211
24 4168,42 505.263
25· 4342,11 526.316
26 4515,79 547.368
27 4689,47 568.421
28 4863,16 589.474
29 5036,84 610.526
30 5210,53 631.579
31 5384,21 652.632
32· 5557,89 673.684
33 5731,58 694.737
34 5905,26 715.789
35 6078,95 736.842
36 6252,63 757.895
37 6426,32 778.947
38 6600 800
39· 6773,68 821.053
40 6947,37 842.105
41 7121,05 863.158
42 7294,74 884.211
43 7468,42 905.263
44 7642,11 926.316
45 7815,79 947.368
46· 7989,47 968.421
47 8163,16 989.474
48 8336,84 1010.526
49 8510,53 1031.579
50 8684,21 1052.632
51 8857,89 1073.684
52 9031,58 1094.737
53 9205,26 1115.789
54 9378,95 1136.842
55 9552,63 1157.894
56 9726,32 1178.947
57\0: 9900\0 1200\0

Note that the 46th fret with the 6th mark is the note '8' quasi-perfect 7/4, just -3,3 Purd. of error (-0.41 Cents).

Another look for a 57-EDD fretboard is with this way:

57-EDD Fibass 1.png

The dots follows the scheme 7 3 7 3 7 3 7 3 7 3 7, a scale of 6L5s 7;3 Relation, in the places 7· 10· 17· 20· 27· 30· 37· 40· 47· 50· 57: 64· 67· 74· 77· & 84·

Step Purdal size Cent size
01 173,68 21.053
02 347,37 42.105
03 521,05 63.158
04 694,74 84.211
05 868,42 105.263
06 1042,11 126.316
07· 1215,79 147.368
08 1389,47 168.421
09 1563,16 189.474
10· 1736,84 210.526
11 1910,53 231.579
12 2084,21 252.632
13 2257,89 273.684
14 2431,58 294.737
15 2605,26 315.789
16 2778,95 336.842
17· 2952,63 357.895
18 3126,32 378.947
19 3300 400
20· 3473,68 421.053
21 3647,37 442.105
22 3821,05 463.158
23 3994,74 484.211
24 4168,42 505.263
25 4342,11 526.316
26 4515,79 547.368
27· 4689,47 568.421
28 4863,16 589.474
29 5036,84 610.526
30· 5210,53 631.579
31 5384,21 652.632
32 5557,89 673.684
33 5731,58 694.737
34 5905,26 715.789
35 6078,95 736.842
36 6252,63 757.895
37· 6426,32 778.947
38 6600 800
39 6773,68 821.053
40· 6947,37 842.105
41 7121,05 863.158
42 7294,74 884.211
43 7468,42 905.263
44 7642,11 926.316
45 7815,79 947.368
46 7989,47 968.421
47· 8163,16 989.474
48 8336,84 1010.526
49 8510,53 1031.579
50· 8684,21 1052.632
51 8857,89 1073.684
52 9031,58 1094.737
53 9205,26 1115.789
54 9378,95 1136.842
55 9552,63 1157.894
56 9726,32 1178.947
57\0: 9900\0 1200\0