313edo: Difference between revisions

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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable"
{| class="wikitable center-4 center-5 center-6"
| rowspan="2" |'''Subgroup'''
! rowspan="2" | Subgroup
| rowspan="2" |[[Comma list|'''Comma list''']]
! rowspan="2" | [[Comma list]]
| rowspan="2" |'''[[Mapping]]'''
! rowspan="2" | [[Mapping]]
| rowspan="2" |'''Optimal''' 
! rowspan="2" | Optimal<br>8ve stretch (¢)
 
! colspan="2" | Tuning error
'''8ve stretch (¢)'''
| colspan="2" |'''Tuning error'''
|-
|-
|[[TE error|'''Absolute''']] '''(¢)'''
! [[TE error|Absolute]] (¢)
|[[TE simple badness|'''Relative''']] '''(%)'''
! [[TE simple badness|Relative]] (%)
|-
|-
|2.3
| 2.3
|{{Monzo|-496, 313}}
| {{monzo| -496 313 }}
|[⟨313 496]]
| [{{val| 313 496 }}]
|0.113
| +0.113
|0.113
| 0.113
|2.94
| 2.94
|-
|-
|2.3.5
| 2.3.5
|32805/32768, {{Monzo|-1, 49, -33}}
| 32805/32768, {{monzo| -1 49 -33 }}
|[⟨313 496 727]]
| [{{val| 313 496 727 }}]
| -0.055
| -0.055
|0.254
| 0.254
|6.80
| 6.64
|-
|-
|2.3.5.7
| 2.3.5.7
|6144/6125, 19683/19600, [7, 10, -5, -4⟩, [5, 4, 6, -9⟩
| 6144/6125, 19683/19600, 40500000/40353607
|[⟨313 496 727 879]]
| [{{val| 313 496 727 879 }}]
|<nowiki>-0.142</nowiki>
| -0.143
|0.267
| 0.268
|6.99
| 6.99
|-
|-
|2.3.5.7.11
| 2.3.5.7.11
|540/539, 5632/5625, 8019/8000, 43923/43904
| 540/539, 5632/5625, 8019/8000, 43923/43904
|[⟨313 496 727 879 1083]]
| [{{val| 313 496 727 879 1083 }}]
| -0.158
| -0.158
|0.242
| 0.242
|6.30
| 6.30
|-
| 2.3.5.7.11.13
| 351/350, 540/539, 676/675, 4096/4095, 43923/43904
| [{{val| 313 496 727 879 1083 1158 }}]
| -0.091
| 0.267
| 6.97
|}
|}