50-EDD
Dot-Guide for 50-EDD instruments
50-EDD Fretboard is based on the formula (Scale_Length/(2^(x/50))). Being more useful for your fingers, is recommendable a Short Bass Scale Length (818mm [32.2"]) for this 'golden cat'. Maybe for a first instance with it, a employment of the (Cliché ;) 2L3s Dot-Guide :
The dots are suited in the places 13· 21· 29· 37· 50: 63· 71· & 79· denoting its Golden Meantone of 8;5 Relation. For the fretboard, that is the 13:8 proportion, 13 8 8 8 13, but not uniquely, a second form for dotting approaches in better way the extense fretting over the fingerboard :
This dots are suited in the places 9· 17· 25· 33· 41· 50: 59· 67· 75· & 83· denoting the scale of 2L4s 9;8 Relation, 9 8 8 8 8 9.
Step (form 1) | Purdal size | Cent size | | | Step (form 2) | Purdal size | Cent size |
01 | 198 | 24 | | | 01 | 198 | 24 |
02 | 396 | 48 | | | 02 | 396 | 48 |
03 | 594 | 72 | | | 03 | 594 | 72 |
04 | 792 | 96 | | | 04 | 792 | 96 |
05 | 990 | 120 | | | 05 | 990 | 120 |
06 | 1188 | 144 | | | 06 | 1188 | 144 |
07 | 1386 | 168 | | | 07 | 1386 | 168 |
08 | 1584 | 192 | | | 08 | 1584 | 192 |
09 | 1782 | 216 | | | 09· | 1782 | 216 |
10 | 1980 | 240 | | | 10 | 1980 | 240 |
11 | 2178 | 264 | | | 11 | 2178 | 264 |
12 | 2376 | 288 | | | 12 | 2376 | 288 |
13· | 2574 | 312 | | | 13 | 2574 | 312 |
14 | 2772 | 336 | | | 14 | 2772 | 336 |
15 | 2970 | 360 | | | 15 | 2970 | 360 |
16 | 3168 | 384 | | | 16 | 3168 | 384 |
17 | 3366 | 408 | | | 17· | 3366 | 408 |
18 | 3564 | 432 | | | 18 | 3564 | 432 |
19 | 3762 | 456 | | | 19 | 3762 | 456 |
20 | 3960 | 480 | | | 20 | 3960 | 480 |
21· | 4158 | 504 | | | 21 | 4158 | 504 |
22 | 4356 | 528 | | | 22 | 4356 | 528 |
23 | 4554 | 552 | | | 23 | 4554 | 552 |
24 | 4752 | 576 | | | 24 | 4752 | 576 |
25 | 4950 | 600 | | | 25· | 4950 | 600 |
26 | 5148 | 624 | | | 26 | 5148 | 624 |
27 | 5346 | 648 | | | 27 | 5346 | 648 |
28 | 5544 | 672 | | | 28 | 5544 | 672 |
29· | 5742 | 696 | | | 29 | 5742 | 696 |
30 | 5940 | 720 | | | 30 | 5940 | 720 |
31 | 6138 | 744 | | | 31 | 6138 | 744 |
32 | 6336 | 768 | | | 32 | 6336 | 768 |
33 | 6534 | 792 | | | '33'· | 6534 | 792 |
34 | 6732 | 816 | | | 34 | 6732 | 816 |
35 | 6930 | 840 | | | 35 | 6930 | 840 |
36 | 7128 | 864 | | | 36 | 7128 | 864 |
37· | 7326 | 888 | | | 37 | 7326 | 888 |
38 | 7524 | 912 | | | 38 | 7524 | 912 |
39 | 7722 | 936 | | | 39 | 7722 | 936 |
40 | 7920 | 960 | | | 40 | 7920 | 960 |
41 | 8118 | 984 | | | 41· | 8118 | 984 |
42 | 8316 | 1008 | | | 42 | 8316 | 1008 |
43 | 8514 | 1032 | | | 43 | 8514 | 1032 |
44 | 8712 | 1056 | | | 44 | 8712 | 1056 |
45 | 8910 | 1080 | | | 45 | 8910 | 1080 |
46 | 9108 | 1104 | | | 46 | 9108 | 1104 |
47 | 9306 | 1128 | | | 47 | 9306 | 1128 |
48 | 9504 | 1152 | | | 48 | 9504 | 1152 |
49 | 9702 | 1176 | | | 49 | 9702 | 1176 |
50\0: | 9900\0 | 1200\0 | | | 50\0: | 9900\0 | 1200\0 |
By last, other consistent form for dotting a 50-EDD fretboard is :
The dots are in the places 6· 12· 14· 20· 22· 28· 30· 36· 38· 44· 50: 56· 62· 64· 70· 72· 78· & 80· denoting a interesting scale of 7L4s in 6;2 Relation, 6 6 2 6 2 6 2 6 2 6 6.
Step (form 3) | Purdal size | Cent size |
01 | 198 | 24 |
02 | 396 | 48 |
03 | 594 | 72 |
04 | 792 | 96 |
05 | 990 | 120 |
06· | 1188 | 144 |
07 | 1386 | 168 |
08 | 1584 | 192 |
09 | 1782 | 216 |
10 | 1980 | 240 |
11 | 2178 | 264 |
12· | 2376 | 288 |
13 | 2574 | 312 |
14· | 2772 | 336 |
15 | 2970 | 360 |
16 | 3168 | 384 |
17 | 3366 | 408 |
18 | 3564 | 432 |
19 | 3762 | 456 |
20· | 3960 | 480 |
21 | 4158 | 504 |
22· | 4356 | 528 |
23 | 4554 | 552 |
24 | 4752 | 576 |
25 | 4950 | 600 |
26 | 5148 | 624 |
27 | 5346 | 648 |
28· | 5544 | 672 |
29 | 5742 | 696 |
30· | 5940 | 720 |
31 | 6138 | 744 |
32 | 6336 | 768 |
33 | 6534 | 792 |
34 | 6732 | 816 |
35 | 6930 | 840 |
36· | 7128 | 864 |
37 | 7326 | 888 |
38· | 7524 | 912 |
39 | 7722 | 936 |
40 | 7920 | 960 |
41 | 8118 | 984 |
42 | 8316 | 1008 |
43 | 8514 | 1032 |
44· | 8712 | 1056 |
45 | 8910 | 1080 |
46 | 9108 | 1104 |
47 | 9306 | 1128 |
48 | 9504 | 1152 |
49 | 9702 | 1176 |
50\0: | 9900\0 | 1200\0 |