897edo: Difference between revisions
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+subsets and supersets |
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The 897def val tempers out [[4375/4374]] in the 7-limit; [[4000/3993]], 46656/46585, and 172032/171875 in the 11-limit; [[1716/1715]], and [[10648/10647]] in the 13-limit. | The 897def val tempers out [[4375/4374]] in the 7-limit; [[4000/3993]], 46656/46585, and 172032/171875 in the 11-limit; [[1716/1715]], and [[10648/10647]] in the 13-limit. | ||
=== | === Odd harmonics === | ||
{{Harmonics in equal|897}} | {{Harmonics in equal|897}} | ||
=== Subsets and supersets === | |||
Since 897 factors into 3 × 13 × 23, 897edo has subset edos {{EDOs| 3, 13, 23, 39, 69, and 299 }}. | |||
== Regular temperament properties == | == Regular temperament properties == | ||
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! Associated<br>Ratio | ! Associated<br>Ratio | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| 1 | | 1 | ||
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| 128/91 | | 128/91 | ||
| [[Countritonic]] (897df) | | [[Countritonic]] (897df) | ||
|- | |||
| 3 | |||
| 103\897 | |||
| 137.79 | |||
| 13/12 | |||
| [[Avicenna]] (897) | |||
|} | |} | ||
<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>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | ||