1106edo

Revision as of 03:48, 8 January 2023 by FloraC (talk | contribs) (Rework and expansion)
← 1105edo 1106edo 1107edo →
Prime factorization 2 × 7 × 79
Step size 1.08499 ¢ 
Fifth 647\1106 (701.989 ¢)
Semitones (A1:m2) 105:83 (113.9 ¢ : 90.05 ¢)
Consistency limit 17
Distinct consistency limit 17

Template:EDO intro

1106edo is a zeta peak edo. It is strong as a 7-limit system; the only edos lower than it with a lower 7-limit relative error being 171, 270, 342, 441 and 612. It is even stronger in the 11-limit; the only ones beating it out now being 270, 342 and 612. It is less strong in the 13 and 17 limits, but even so is distinctly consistent through the 17-odd-limit.

Prime harmonics

Approximation of prime harmonics in 1106edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.034 -0.057 +0.071 -0.143 +0.340 +0.289 -0.225 -0.065 +0.079 -0.370
Relative (%) +0.0 +3.1 -5.2 +6.5 -13.1 +31.4 +26.6 -20.8 -6.0 +7.3 -34.1
Steps
(reduced)
1106
(0)
1753
(647)
2568
(356)
3105
(893)
3826
(508)
4093
(775)
4521
(97)
4698
(274)
5003
(579)
5373
(949)
5479
(1055)

Divisors

Since 1106 factors into 2 × 7 × 79, it has subset edos 2, 7, 14, 79, 158, and 553.