111edo: Difference between revisions

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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" | Subgroup
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
| 2.3
| {{monzo| 176 -111 }}
| [{{val| 111 176 }}]
| -0.236
| 0.236
| 2.18
|-
| 2.3.5
| 78732/78125, 67108864/66430125
| [{{val| 111 176 258 }}]
| -0.570
| 0.510
| 4.72
|-
| 2.3.5.7
| 1728/1715, 3136/3125, 5120/5103
| [{{val| 111 176 258 312 }}]
| -0.797
| 0.591
| 5.47
|-
| 2.3.5.7.11
| 176/175, 540/539, 1331/1323, 5120/5103
| [{{val| 111 176 258 312 384 }}]
| -0.639
| 0.615
| 5.69
|-
| 2.3.5.7.11.13
| 176/175, 351/350, 540/539, 676/675, 1331/1323
| [{{val| 111 176 258 312 384 411 }}]
| -0.655
| 0.562
| 5.21
|-
| 2.3.5.7.11.13.17
| 176/175, 256/255, 351/350, 442/441, 540/539, 715/714
| [{{val| 111 176 258 312 384 411 454 }}]
| -0.672
| 0.523
| 4.84
|-
| 2.3.5.7.11.13.17.19
| 176/175, 256/255, 286/285, 324/323, 351/350, 400/399, 476/475
| [{{val| 111 176 258 312 384 411 454 472 }}]
| -0.740
| 0.521
| 4.83
|}
=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5"
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| 4/3
| 4/3
| [[Kwai]]
| [[Kwai]]
|-
| 3
| 7\111
| 75.68
| 24/23
| [[Terture]]
|-
|-
| 3
| 3