4380edo: Difference between revisions
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Created page with "{{Infobox ET}} {{EDO intro|4380}} 4380edo is consistent in the 31-odd-limit and has the lowest relative error in the 47-limit, being only beaten by the 7361o val...." |
One fifth -> one sixth |
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In light of having 60 as a divisor, 4380edo is a tuning for the [[neodymium]] temperament in the 17-limit. It is worth noting that 4380edo tempers out the [[magnetisma]] on its 43-limit patent val, and therefore tunes the extension [[neodymium magnet]]. | In light of having 60 as a divisor, 4380edo is a tuning for the [[neodymium]] temperament in the 17-limit. It is worth noting that 4380edo tempers out the [[magnetisma]] on its 43-limit patent val, and therefore tunes the extension [[neodymium magnet]]. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{ | {{Harmonics in equal|4380}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
4380edo has subset edos {{EDOs|1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190}}. One step of 4380edo is one | 4380edo has subset edos {{EDOs|1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190}}. One step of 4380edo is one sixth of a [[Woolhouse unit]] (1\730). | ||
Revision as of 04:29, 30 March 2023
| ← 4379edo | 4380edo | 4381edo → |
4380edo is consistent in the 31-odd-limit and has the lowest relative error in the 47-limit, being only beaten by the 7361o val.
In light of having 60 as a divisor, 4380edo is a tuning for the neodymium temperament in the 17-limit. It is worth noting that 4380edo tempers out the magnetisma on its 43-limit patent val, and therefore tunes the extension neodymium magnet.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.037 | -0.012 | -0.059 | -0.085 | +0.020 | -0.024 | +0.021 | -0.055 | +0.012 | -0.104 |
| Relative (%) | +0.0 | -13.6 | -4.5 | -21.5 | -31.0 | +7.4 | -8.7 | +7.7 | -20.1 | +4.3 | -38.0 | |
| Steps (reduced) |
4380 (0) |
6942 (2562) |
10170 (1410) |
12296 (3536) |
15152 (2012) |
16208 (3068) |
17903 (383) |
18606 (1086) |
19813 (2293) |
21278 (3758) |
21699 (4179) | |
Subsets and supersets
4380edo has subset edos 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190. One step of 4380edo is one sixth of a Woolhouse unit (1\730).