1880edo

From Xenharmonic Wiki
Jump to navigation Jump to search
← 1879edo 1880edo 1881edo →
Prime factorization 23 × 5 × 47
Step size 0.638298 ¢ 
Fifth 1100\1880 (702.128 ¢) (→ 55\94)
Semitones (A1:m2) 180:140 (114.9 ¢ : 89.36 ¢)
Consistency limit 7
Distinct consistency limit 7

Template:EDO intro

Theory

1880edo is consistent in the 7-odd-limit, and is overall a decent 13-limit system, although its 9/8 is off the stack of two 3/2s by one step, which prevents consistency in the 9-odd-limit.

In the 13-limit, it tempers out 6656/6655 and supports the 2.5.7.11.13 subgroup Eternal Revolutionary temperament.

Approximation of odd harmonics in 1880edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +0.173 -0.144 +0.110 -0.293 +0.171 +0.111 +0.029 -0.275 -0.066 +0.283 -0.189
Relative (%) +27.0 -22.5 +17.3 -45.9 +26.9 +17.3 +4.6 -43.0 -10.4 +44.3 -29.6
Steps
(reduced)
2980
(1100)
4365
(605)
5278
(1518)
5959
(319)
6504
(864)
6957
(1317)
7345
(1705)
7684
(164)
7986
(466)
8258
(738)
8504
(984)