1817edo: Difference between revisions
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{{EDO intro|1817}} | {{EDO intro|1817}} | ||
1817edo distinctly [[consistent]] in the 17-odd-limit, and a fairly strong 17-limit system. | 1817edo distinctly [[consistent]] in the [[17-odd-limit]], and a fairly strong 17-limit system. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|1817}} | {{Harmonics in equal|1817}} | ||
=== Subsets and supersets === | |||
Since 1817 factors into {{factorization|1817}}, 1817edo contains [[23edo]] and [[79edo]] as subsets. | |||
Revision as of 12:33, 30 October 2023
| ← 1816edo | 1817edo | 1818edo → |
1817edo distinctly consistent in the 17-odd-limit, and a fairly strong 17-limit system.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.081 | +0.037 | +0.024 | +0.141 | +0.199 | +0.053 | -0.320 | -0.206 | +0.032 | +0.149 |
| Relative (%) | +0.0 | +12.3 | +5.7 | +3.6 | +21.3 | +30.1 | +8.0 | -48.4 | -31.2 | +4.9 | +22.5 | |
| Steps (reduced) |
1817 (0) |
2880 (1063) |
4219 (585) |
5101 (1467) |
6286 (835) |
6724 (1273) |
7427 (159) |
7718 (450) |
8219 (951) |
8827 (1559) |
9002 (1734) | |
Subsets and supersets
Since 1817 factors into 23 × 79, 1817edo contains 23edo and 79edo as subsets.