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 ==