1817edo: Difference between revisions
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{{Infobox ET}} | {{novelty}}{{stub}}{{Infobox ET}} | ||
The '''1817 division''' is distinctly consistent in the 17-limit, and a fairly strong 17-limit system. | The '''1817 division''' is distinctly consistent in the 17-limit, and a fairly strong 17-limit system. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{harmonics in equal|1817}} | {{harmonics in equal|1817}} | ||
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | [[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | ||
Revision as of 04:51, 9 July 2023
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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. |
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| ← 1816edo | 1817edo | 1818edo → |
The 1817 division is distinctly consistent in the 17-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) | |