1880edo
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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
| ← 1879edo | 1880edo | 1881edo → |
1880 equal divisions of the octave (1880edo), or 1880-tone equal temperament (1880tet), 1880 equal temperament (1880et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 1880 equal parts of about 0.638 ¢ each.
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.
| 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 | -22 | +17 | -46 | +27 | +17 | +5 | -43 | -10 | +44 | -30 | |
| Steps (reduced) |
2980 (1100) |
4365 (605) |
5278 (1518) |
5959 (319) |
6504 (864) |
6957 (1317) |
7345 (1705) |
7684 (164) |
7986 (466) |
8258 (738) |
8504 (984) | |