87edo: Difference between revisions

+infobox
Regular temperament properties: improve the RTT table (this also removes the data beyond 23-limit)
Line 349: Line 349:


== Regular temperament properties ==
== Regular temperament properties ==
 
{| class="wikitable center-4 center-5 center-6"
{| class="wikitable center-all"
! rowspan="2" | Subgroup
! colspan="2" |
! rowspan="2" | [[Comma list]]
! 3-limit
! rowspan="2" | [[Mapping]]
! 5-limit
! rowspan="2" | Optimal<br>8ve stretch (¢)
! 7-limit
! colspan="2" | Tuning error
! 11-limit
! 13-limit
! 17-limit
! 19-limit
! 23-limit
! 29-limit
! 31-limit
|-
|-
! colspan="2" |Octave stretch (¢)
! [[TE error|Absolute]] )
| -0.471
! [[TE simple badness|Relative]] (%)
|-
| 2.3.5
| 15625/15552, 67108864/66430125
| [{{val| 87 138 202 }}]
| -0.299
| -0.299
| 0.455
| 3.30
|-
| 2.3.5.7
| 245/243, 1029/1024, 3136/3125
| [{{val| 87 138 202 244 }}]
| +0.070
| +0.070
| 0.752
| 5.45
|-
| 2.3.5.7.11
| 245/243, 385/384, 441/440, 3136/3125
| [{{val| 87 138 202 244 301 }}]
| +0.033
| +0.033
| 0.676
| 4.90
|-
| 2.3.5.7.11.13
| 196/195, 245/243, 352/351, 364/363, 625/624
| [{{val| 87 138 202 244 301 322 }}]
| -0.011
| -0.011
| 0.625
| 4.53
|-
| 2.3.5.7.11.13.17
| 154/153, 196/195, 245/243, 273/272, 364/363, 375/374
| [{{val| 87 138 202 244 301 322 356 }}]
| -0.198
| -0.198
| 0.738
| 5.35
|-
| 2.3.5.7.11.13.17.19
| 154/153, 196/195, 210/209, 245/243, 273/272, 286/285, 364/363
| [{{val| 87 138 202 244 301 322 356 370 }}]
| -0.348
| -0.348
| -0.462
| -0.517
| -0.466
|-
! rowspan="2" |Error
! [[TE error|absolute]] (¢)
| 0.471
| 0.455
| 0.752
| 0.676
| 0.625
| 0.738
| 0.796
| 0.796
| 0.816
| 0.792
| 0.772
|-
! [[TE simple badness|relative]] (%)
| 3.42
| 3.30
| 5.45
| 4.90
| 4.53
| 5.35
| 5.77
| 5.77
| 5.92
| 5.74
| 5.60
|}
|}