1880edo
|
This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
|
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |
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 (%) | +27.0 | -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) | |