214edo: Difference between revisions

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m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|214}}
{{ED intro}}


== Theory ==
== Theory ==
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 214 factors into 2 × 107, 214edo contains [[2edo]] and [[107edo]] as its subsets.
Since 214 factors into {{factorisation|214}}, 214edo contains [[2edo]] and [[107edo]] as its subsets.


== 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]] (¢)
! [[TE simple badness|Relative]] (%)
! [[TE simple badness|Relative]] (%)
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| 6144/6125, 16875/16807, 78732/78125
| 6144/6125, 16875/16807, 78732/78125
| {{mapping| 214 339 497 601 }}
| {{mapping| 214 339 497 601 }}
| -0.0169
| −0.0169
| 0.4137
| 0.4137
| 7.38
| 7.38
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| 351/350, 540/539, 715/714, 847/845, 936/935, 4096/4095
| 351/350, 540/539, 715/714, 847/845, 936/935, 4096/4095
| {{mapping| 214 339 497 601 740 792 875 }}
| {{mapping| 214 339 497 601 740 792 875 }}
| -0.0144
| −0.0144
| 0.4012
| 0.4012
| 7.15
| 7.15
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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>Ratio*
! Associated<br />ratio*
! Temperaments
! Temperaments
|-
| 1
| 27\214
| 151.40
| 12/11
| [[Browser]]
|-
|-
| 1
| 1
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| [[Kwazy]]
| [[Kwazy]]
|}
|}
<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 forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
 
[[Category:Browser]]