207edo: Difference between revisions

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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{{comma basis begin}}
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! colspan="2" | Tuning Error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3
| 2.3
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| 32805/32768, {{monzo| 2 31 -22 }}
| 32805/32768, {{monzo| 2 31 -22 }}
| {{mapping| 207 328 481 }}
| {{mapping| 207 328 481 }}
| -0.1942
| &minus;0.1942
| 0.5166
| 0.5166
| 8.91
| 8.91
Line 39: Line 31:
| 6144/6125, 19683/19600, 50421/50000
| 6144/6125, 19683/19600, 50421/50000
| {{mapping| 207 328 481 581 }}
| {{mapping| 207 328 481 581 }}
| -0.0825
| &minus;0.0825
| 0.4874
| 0.4874
| 8.41
| 8.41
Line 46: Line 38:
| 441/440, 3388/3375, 6144/6125, 19683/19600
| 441/440, 3388/3375, 6144/6125, 19683/19600
| {{mapping| 207 328 481 581 716 }}
| {{mapping| 207 328 481 581 716 }}
| -0.0317
| &minus;0.0317
| 0.4477
| 0.4477
| 7.72
| 7.72
Line 53: Line 45:
| 351/350, 441/440, 676/675, 847/845, 3584/3575
| 351/350, 441/440, 676/675, 847/845, 3584/3575
| {{mapping| 207 328 481 581 716 766 }}
| {{mapping| 207 328 481 581 716 766 }}
| -0.0287
| &minus;0.0287
| 0.4087
| 0.4087
| 7.05
| 7.05
Line 60: Line 52:
| 351/350, 441/440, 561/560, 676/675, 847/845, 1089/1088
| 351/350, 441/440, 561/560, 676/675, 847/845, 1089/1088
| {{mapping| 207 328 481 581 716 766 846 }}
| {{mapping| 207 328 481 581 716 766 846 }}
| -0.0034
| &minus;0.0034
| 0.3834
| 0.3834
| 6.61
| 6.61
|}
{{comma basis end}}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{{rank-2 begin}}
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
|-
| 1
| 1
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| 4/3
| 4/3
| [[Helmholtz]]
| [[Helmholtz]]
|}
{{rank-2 end}}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
{{orf}}