2684edo: Difference between revisions

Adopt template: Factorization
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|2684}}
{{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|Comma List]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! rowspan="2" | Optimal<br />8ve stretch (¢)
! colspan="2" | Tuning Error
! 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
| −0.0004
| 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>Ratio*
! 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 it is distinct
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct