84edo: Difference between revisions
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→Regular temperament properties: cleanup; style; comma bases and badnesses |
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== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" |Subgroup | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" |[[Comma list]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" |Optimal | ! rowspan="2" | Optimal<br>8ve Stretch (¢) | ||
8ve | ! colspan="2" | Tuning Error | ||
! colspan="2" |Tuning | |||
|- | |- | ||
![[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
![[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
|- | |- | ||
|2.3.5 | | 2.3.5 | ||
|78732/78125, 531441/524288 | | 78732/78125, 531441/524288 | ||
|{{val|84 133 195}} | | {{val| 84 133 195 }} | ||
|0.498 | | +0.498 | ||
|0.531 | | 0.531 | ||
| | | 3.72 | ||
|- | |- | ||
|2.3.5.7 | | 2.3.5.7 | ||
|225/224, 1728/1715, | | 225/224, 1728/1715, 78732/78125 | ||
|{{val|84 133 195 236}} | | {{val| 84 133 195 236 }} | ||
|0.141 | | +0.141 | ||
|0.769 | | 0.769 | ||
| | | 5.39 | ||
|- | |- | ||
|2.3.5.7.11 | | 2.3.5.7.11 | ||
|225/224, 441/440, | | 225/224, 441/440, 1344/1331, 1728/1715 | ||
|{{val|84 133 195 236 291}} | | {{val| 84 133 195 236 291 }} (84) | ||
| -0.225 | | -0.225 | ||
|1.003 | | 1.003 | ||
| | | 7.02 | ||
|- | |- | ||
|2.3.5.7.11 | | 2.3.5.7.11 | ||
|99/98, 121/120, | | 99/98, 121/120, 176/175, 78732/78125 | ||
|{{val|84 133 195 236 290}} (84e) | | {{val|84 133 195 236 290}} (84e) | ||
|0.601 | | +0.601 | ||
|1.151 | | 1.151 | ||
| | | 8.05 | ||
|} | |} | ||
=== Rank-2 temperaments | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
!Periods | ! Periods<br>per 8ve | ||
per | ! Generator<br>(Reduced) | ||
!Generator | ! Cents<br>(Reduced) | ||
!Cents | ! Associated<br>Ratio | ||
!Associated | ! Temperaments | ||
!Temperaments | |||
|- | |- | ||
| rowspan="2" |1 | | rowspan="2" | 1 | ||
| rowspan="2" | | rowspan="2" | 19\84 | ||
| rowspan="2" |271.428 | | rowspan="2" | 271.428 | ||
| rowspan="2" | 7/6 | | rowspan="2" | 7/6 | ||
|[[Orwell]] (84e | | [[Orwell]] (84e) | ||
|- | |- | ||
|[[Newspeak]] (84p | | [[Newspeak]] (84p) | ||
|- | |- | ||
|1 | | 1 | ||
|27\84 | | 27\84 | ||
|385.714 | | 385.714 | ||
|5/4 | | 5/4 | ||
|[[Mutt]] | | [[Mutt]] | ||
|- | |- | ||
|12 | | 12 | ||
|27\84 | | 27\84<br>(1\84) | ||
( | | 385.714<br>(14.285) | ||
|385.714 | | 5/4<br>(126/125) | ||
( | | [[Compton]] | ||
|5/4 | |||
( | |||
|[[Compton]] | |||
|- | |- | ||
|28 | | 28 | ||
|49\84 | | 49\84<br>(1\84) | ||
(1\84) | | 500.000<br>(14.286) | ||
|500.000 | | 4/3<br>(105/104) | ||
(14.286) | | [[Oquatonic]] | ||
|4/3 | |||
(105/104) | |||
|[[Oquatonic]] | |||
|} | |} | ||
== Scales == | == Scales == | ||
Brightest mode is listed. | Brightest mode is listed. | ||