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" Tags: Mobile edit Mobile web edit |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 214 factors into | 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" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br />8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |- | ||
| 2.3 | | 2.3 | ||
| Line 31: | Line 40: | ||
| 6144/6125, 16875/16807, 78732/78125 | | 6144/6125, 16875/16807, 78732/78125 | ||
| {{mapping| 214 339 497 601 }} | | {{mapping| 214 339 497 601 }} | ||
| | | −0.0169 | ||
| 0.4137 | | 0.4137 | ||
| 7.38 | | 7.38 | ||
| Line 52: | Line 61: | ||
| 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 | ||
| 0.4012 | | 0.4012 | ||
| 7.15 | | 7.15 | ||
|} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {| class="wikitable center-all left-5" | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |||
|- | |||
! Periods<br />per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br />ratio* | |||
! Temperaments | |||
|- | |- | ||
| 1 | | 1 | ||
| Line 95: | Line 111: | ||
| 1125/1024 | | 1125/1024 | ||
| [[Kwazy]] | | [[Kwazy]] | ||
|} | |||
<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]] | [[Category:Browser]] | ||