2460edo: Difference between revisions
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== Regular temperament properties == | == Regular temperament properties == | ||
2460edo has lower 23-limit relative error than any edo until [[8269edo|8269]]. Also it has a lower 23-limit [[TE logflat badness]] than any smaller edo and less than any until [[16808edo|16808]]. | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" |[[Subgroup]] | |||
! rowspan="2" |[[Comma list|Comma List]] | |||
! rowspan="2" |[[Mapping]] | |||
! rowspan="2" |Optimal | |||
8ve stretch (¢) | |||
! colspan="2" |Tuning error | |||
|- | |||
![[TE error|Absolute]] (¢) | |||
![[TE simple badness|Relative]] (%) | |||
|- | |||
|2.3 | |||
|{{monzo|-3899 4320}} | |||
|[{{val|2460 3899}}] | |||
|0.001 | |||
|0.001 | |||
|0.24 | |||
|- | |||
|2.3.5 | |||
|91 -12 -31, -70 72 -19 | |||
| | |||
|<nowiki>-0.003</nowiki> | |||
|0.006 | |||
|1.29 | |||
|- | |||
|2.3.5.7 | |||
|250047/250000, 3 -24 3 10, -48 0 11 8 | |||
| | |||
|0.002 | |||
|0.010 | |||
|2.05 | |||
|- | |||
|2.3.5.7.11 | |||
|9801/9800, 250047/250000, 24 -10 -5 0 1, -3 -16 -1 6 4 | |||
| | |||
|0.007 | |||
|0.014 | |||
|2.86 | |||
|- | |||
|2.3.5.7.11.13 | |||
|9801/9800, 10648/10647, 105644/105625, 196625/196608, 1063348/1063125 | |||
| | |||
|0.008 | |||
|0.013 | |||
|2.63 | |||
|- | |||
|2.3.5.7.11.13.17 | |||
|9801/9800, 10648/10647, 12376/12375, 31213/31212, 37180/37179, 221221/221184 | |||
|[{{val|2460 3899 5712 6096<br>8510 9103 10055}}] | |||
|0.009 | |||
|0.013 | |||
|2.56 | |||
|}2460edo has lower 23-limit relative error than any edo until [[8269edo|8269]]. Also it has a lower 23-limit [[TE logflat badness]] than any smaller edo and less than any until [[16808edo|16808]]. | |||
In addition, it has the lowest relative error in the 19-limit, being only bettered by [[3395edo]]. | In addition, it has the lowest relative error in the 19-limit, being only bettered by [[3395edo]]. | ||