525/512: Difference between revisions
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'''525/512''', known as '''Avicenna's enharmonic diesis''' or '''avicennma''', is the interval between [[64/63]] and [[25/24]]. Tempering it out equates | '''525/512''', known as '''Avicenna's enharmonic diesis''' or '''avicennma''', is the interval between [[64/63]] and [[25/24]]. | ||
== 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]]: [{{val| 1 0 0 9 }}, {{val| 0 1 0 -1 }}, {{val| 0 0 1 -2 }}] | |||
[[POTE generator]]s: ~3/2 = 695.5265, ~5/4 = 374.1745 | |||
{{Val list|legend=1| 7, 9, 10, 16, 19, 45, 64cd, 93cdd, 119bccdd, 138bccdd }} | |||
[[Badness]]: 0.4765 × 10<sup>-3</sup> | |||
== See also == | == See also == | ||
* [[Medium comma]] | * [[Medium comma]] | ||
* [[Avicennmic temperaments]] | * [[Avicennmic temperaments]], a collection of rank-2 temperaments where it is tempered out | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
Revision as of 12:46, 21 June 2021
| Interval information |
avicennma
reduced harmonic
525/512, known as Avicenna's enharmonic diesis or avicennma, is the interval between 64/63 and 25/24.
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