User:MisterShafXen/61ed6
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Prime factorization
61 (prime)
Step size
50.8517 ¢
Octave
24\61ed6 (1220.44 ¢)
Twelfth
37\61ed6 (1881.51 ¢)
Consistency limit
2
Distinct consistency limit
2
| ← 60ed6 | 61ed6 | 62ed6 → |
61 equal divisions of the 6th harmonic (abbreviated 61ed6) is a nonoctave tuning system that divides the interval of 6/1 into 61 equal parts of about 50.9 ¢ each. Each step represents a frequency ratio of 61/61, or the 61st root of 6.
This tuning can serve as a (severely) stretched version of 24edo.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +20.4 | -20.4 | -10.0 | +10.5 | +0.0 | -12.6 | +10.5 | +10.0 | -19.9 | +18.5 | +20.4 |
| Relative (%) | +40.2 | -40.2 | -19.6 | +20.7 | +0.0 | -24.8 | +20.6 | +19.6 | -39.1 | +36.4 | +40.2 | |
| Steps (reduced) |
24 (24) |
37 (37) |
47 (47) |
55 (55) |
61 (0) |
66 (5) |
71 (10) |
75 (14) |
78 (17) |
82 (21) |
85 (24) | |