308edo: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
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" |
||
| (4 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
| Line 13: | Line 13: | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
Since 308 factors into 2<sup>2</sup> × 7 × 11, 308edo has subset edos {{EDOs| 2, 4, 7, 11, 14, 22, 28, 44, 77, and 154 }}. | Since 308 factors into {{nowrap|2<sup>2</sup> × 7 × 11}}, 308edo has subset edos {{EDOs| 2, 4, 7, 11, 14, 22, 28, 44, 77, and 154 }}. | ||
== Regular temperament properties == | == Regular temperament properties == | ||
| Line 19: | Line 19: | ||
|- | |- | ||
! 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]] (%) | ||
| Line 30: | Line 30: | ||
| {{monzo| -122 77 }} | | {{monzo| -122 77 }} | ||
| {{mapping| 308 488 }} | | {{mapping| 308 488 }} | ||
| 0.2070 | | +0.2070 | ||
| 0.2071 | | 0.2071 | ||
| 5.32 | | 5.32 | ||
| Line 37: | Line 37: | ||
| {{monzo| -36 11 8 }}, {{monzo| -7 22 -12 }} | | {{monzo| -36 11 8 }}, {{monzo| -7 22 -12 }} | ||
| {{mapping| 308 488 715 }} | | {{mapping| 308 488 715 }} | ||
| 0.2241 | | +0.2241 | ||
| 0.1708 | | 0.1708 | ||
| 4.38 | | 4.38 | ||
| Line 49: | Line 49: | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br /> | ! Associated<br />ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 64: | Line 64: | ||
| [[Oquatonic]] (308) | | [[Oquatonic]] (308) | ||
|} | |} | ||
<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 | |||