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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]] (¢) | ||
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| 4914/4913, 5832/5831, 9801/9800, 10648/10647, 28561/28560, 140625/140608 | | 4914/4913, 5832/5831, 9801/9800, 10648/10647, 28561/28560, 140625/140608 | ||
| {{mapping| 2684 4254 6232 7535 9825 9932 10971 }} | | {{mapping| 2684 4254 6232 7535 9825 9932 10971 }} | ||
| | | −0.0004 | ||
| 0.0136 | | 0.0136 | ||
| 3.04 | | 3.04 | ||
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{| 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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|- | |- | ||
| 44 | | 44 | ||
| 1114\2684<br>(16\2684) | | 1114\2684<br />(16\2684) | ||
| 498.063<br>(7.154) | | 498.063<br />(7.154) | ||
| 4/3<br>(18375/18304) | | 4/3<br />(18375/18304) | ||
| [[Ruthenium]] | | [[Ruthenium]] | ||
|- | |- | ||
| 61 | | 61 | ||
| 557\2684<br>(29\2684) | | 557\2684<br />(29\2684) | ||
| 249.031<br>(12.965) | | 249.031<br />(12.965) | ||
| 11907/6875<br>(?) | | 11907/6875<br />(?) | ||
| [[Promethium]] | | [[Promethium]] | ||
|} | |} | ||
<nowiki>* | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct |