525/512: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 525/512 | | Ratio = 525/512 | ||
| Monzo = -9 1 2 1 | | Monzo = -9 1 2 1 | ||
| Cents = 43.40834 | | Cents = 43.40834 | ||
| Name = Avicenna's enharmonic diesis, <br>avicennma | | Name = Avicenna's enharmonic diesis, <br>avicennma | ||
| Color name = | | Color name = Lzyy1, lazoyoyo unison | ||
| FJS name = A1<sup>25, 7</sup> | | FJS name = A1<sup>25, 7</sup> | ||
| Sound = | | Sound = | ||
}} | }} | ||
'''525/512''', known as '''Avicenna's enharmonic diesis''' or '''avicennma''', is the | '''525/512''', known as '''Avicenna's enharmonic diesis''' or '''avicennma''', is the [[7-limit]] [[medium comma]] between [[64/63]] and [[25/24]], or between [[32/25]] and [[21/16]]. | ||
== Temperaments == | == Temperaments == | ||
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[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Medium comma]] | [[Category:Medium comma]] | ||
[[Category:Avicennmic]] | [[Category:Avicennmic]] | ||
Revision as of 19:18, 20 December 2021
| Interval information |
avicennma
reduced harmonic
525/512, known as Avicenna's enharmonic diesis or avicennma, is the 7-limit medium comma between 64/63 and 25/24, or between 32/25 and 21/16.
Temperaments
Tempering it out equates 64/63 with 25/24 and leads to the avicennmic temperament.
Avicennmic temperament
Subgroup: 2.3.5.7
Comma list: 525/512
Mapping: [⟨1 0 0 9], ⟨0 1 0 -1], ⟨0 0 1 -2]]
POTE generators: ~3/2 = 695.5265, ~5/4 = 374.1745
Badness: 0.4765 × 10-3
See also
- Medium comma
- Avicennmic temperaments, a collection of rank-2 temperaments where it is tempered out