34edo: Difference between revisions
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* 34et has a lower relative error than any previous ETs in the 5-limit. The next ET that does better in this subgroup is 53. | * 34et has a lower relative error than any previous ETs in the 5-limit. The next ET that does better in this subgroup is 53. | ||
* 34et is most prominent in the 2.3.5.13.17 and 2.3.5.11.13.17 subgroups. The next ET that does better in these subgroups is 217 and 87, respectively. | * 34et is most prominent in the 2.3.5.13.17 and 2.3.5.11.13.17 subgroups. The next ET that does better in these subgroups is 217 and 87, respectively. | ||
== MOS scales == | |||
34edo supports the following MOSes: | |||
{| class="wikitable" | |||
|+ Temperaments sorted by generator | |||
|- | |||
! Periods<br>per octave | |||
! Generator | |||
! Cents | |||
! Temperaments | |||
|- | |||
| 1 | |||
| 1\34 | |||
| 35.294 | |||
| | |||
|- | |||
| " | |||
| 3\34 | |||
| 105.88 | |||
| [[11L 1s]], [[11L 12s]] | |||
|- | |||
| " | |||
| 5\34 | |||
| 176.471 | |||
| [[6L 1s]], [[7L 6s]] | |||
|- | |||
| " | |||
| 7\34 | |||
| 247.059 | |||
| [[5L 4s]] | |||
|- | |||
| " | |||
| 9\34 | |||
| 317.647 | |||
| [[4L 3s]], [[4L 7s]], [[4L 11s]], [[15L 4s]] | |||
|- | |||
| " | |||
| 11\34 | |||
| 388.235 | |||
| [[3L 7s]], [[3L 10s]], [[3L 13s]], [[3L 16s]], [[3L 19s]] | |||
|- | |||
| " | |||
| 13\34 | |||
| 458.824 | |||
| [[3L 2s]], [[5L 3s]], [[8L 5s]], [[13L 8s]] | |||
|- | |||
| " | |||
| 15\34 | |||
| 529.412 | |||
| [[2L 3s]], [[2L 5s]], [[7L 2s]], [[9L 7s]] | |||
|- | |||
| 2 | |||
| 2\34 | |||
| 70.588 | |||
| [[16L 2s]] | |||
|- | |||
| " | |||
| 3\34 | |||
| 105.882 | |||
| [[2L 6s]], [[2L 8s]], [[10L 2s]], [[12L 10s]] | |||
|- | |||
| " | |||
| 4\34 | |||
| 141.176 | |||
| [[2L 6s]], [[8L 2s]], [[8L 10s]] | |||
|- | |||
| " | |||
| 5\34 | |||
| 176.471 | |||
| [[6L 2s]], [[6L 8s]], [[14L 6s]] | |||
|- | |||
| " | |||
| 6\34 | |||
| 211.765 | |||
| | |||
|- | |||
| " | |||
| 7\34 | |||
| 247.059 | |||
| | |||
|- | |||
| " | |||
| 8\34 | |||
| 282.353 | |||
| | |||
|} | |||
== Tuning by ear == | == Tuning by ear == |