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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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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]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
! [[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
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| {{monzo| -312 197 }} | | {{monzo| -312 197 }} | ||
| {{mapping| 197 312 }} | | {{mapping| 197 312 }} | ||
| 0.4566 | | +0.4566 | ||
| 0.4568 | | 0.4568 | ||
| 7.50 | | 7.50 | ||
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| 15625/15552, {{monzo| -53 32 1 }} | | 15625/15552, {{monzo| -53 32 1 }} | ||
| {{mapping| 197 312 457 }} | | {{mapping| 197 312 457 }} | ||
| 0.6717 | | +0.6717 | ||
| 0.4813 | | 0.4813 | ||
| 7.90 | | 7.90 | ||
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| 225/224, 4375/4374, {{monzo| -25 6 -3 8 }} | | 225/224, 4375/4374, {{monzo| -25 6 -3 8 }} | ||
| {{mapping| 197 312 457 553 }} | | {{mapping| 197 312 457 553 }} | ||
| 0.5302 | | +0.5302 | ||
| 0.4834 | | 0.4834 | ||
| 7.94 | | 7.94 | ||
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=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | |- | ||
! Periods<br />per 8ve | |||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br> | ! Associated<br />ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
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| [[Seniority]] | | [[Seniority]] | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | |||
== Scales == | == Scales == | ||