2897edo: Difference between revisions
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Created page with "{{Infobox ET}} {{EDO intro|2897}} == Theory == Although 2897edo is a dual fifth system which only has a consistency limit of 7, one of its multiples, 31867edo, is not onl..." |
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== Theory == | == Theory == | ||
Although 2897edo is a dual fifth system which only has a consistency limit of 7, one of its multiples, [[31867edo]], is not only a denominator in the series of convergents for | Although 2897edo is a dual fifth system which only has a consistency limit of 7, one of its multiples, [[31867edo]], is not only a denominator in the series of convergents for log<sub>2</sub>3, but is also consistent to the [[21-odd-limit]]. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|2897}} | {{Harmonics in equal|2897}} | ||
Revision as of 02:02, 12 December 2023
| ← 2896edo | 2897edo | 2898edo → |
Theory
Although 2897edo is a dual fifth system which only has a consistency limit of 7, one of its multiples, 31867edo, is not only a denominator in the series of convergents for log23, but is also consistent to the 21-odd-limit.
Prime harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.151 | +0.155 | +0.038 | -0.113 | +0.011 | -0.072 | -0.109 | -0.157 | -0.102 | +0.189 | +0.100 |
| Relative (%) | +36.4 | +37.4 | +9.3 | -27.3 | +2.7 | -17.4 | -26.2 | -38.0 | -24.6 | +45.6 | +24.1 | |
| Steps (reduced) |
4592 (1695) |
6727 (933) |
8133 (2339) |
9183 (492) |
10022 (1331) |
10720 (2029) |
11318 (2627) |
11841 (253) |
12306 (718) |
12725 (1137) |
13105 (1517) | |