175/128: Difference between revisions
DesertFreeze (talk | contribs) Created page with "{{Infobox interval|Name=Valinorismic (grave) superfourth}} '''175/128, the valinorismic acute superfourth''', is a 7-limit superfourth equal to an 11/8 superfourth lowered by a Valinorsma, or 25/16 lowered by 8/7. Equating this interval with 11/8 results in valinorsmic temperament, and can be used to bring 11/8 into the 2.5.7 subgroup. This interval was named by DesertFreeze on 8/30/26." |
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{{Infobox interval|Name= | {{Infobox interval | ||
| Name = avicennmic fourth | |||
}} | |||
'''175/128''', the '''avicennmic fourth''', is a [[7-limit]] [[superfourth]] that is sharp of the [[4/3|perfect fourth]] by an [[525/512|avicennma]]. It is more likely to function as an ''augmented'' fourth in [[just intonation]], being a [[729/512|Pythagorean augmented fourth]] flattened by two [[syntonic comma]]s and a [[septimal comma]]. This function is further evidenced by the fact that it equals a [[21/16]] subfourth raised by a [[25/24]] classical chromatic semitone. | |||
In the [[11-limit]], it is equal to [[11/8]] lowered by a [[176/175|valinorsma]], or [[15/11]] raised by a [[385/384|keenanisma]]. Equating this interval with 11/8 results in the [[valinorsmic]] temperament, or with 15/11, the [[keenanismic]] temperament. Both can be used to bring 11/8 into the [[7-limit]]. | |||
This interval | This interval has also been called by {{u|DesertFreeze}} the ''valinorsmic acute superfourth''. | ||
[[Category:Avicennmic]] | |||
[[Category:Fourth]] | |||
[[Category:Superfourth]] | |||
Latest revision as of 13:07, 19 October 2026
| Interval information |
reduced harmonic
175/128, the avicennmic fourth, is a 7-limit superfourth that is sharp of the perfect fourth by an avicennma. It is more likely to function as an augmented fourth in just intonation, being a Pythagorean augmented fourth flattened by two syntonic commas and a septimal comma. This function is further evidenced by the fact that it equals a 21/16 subfourth raised by a 25/24 classical chromatic semitone.
In the 11-limit, it is equal to 11/8 lowered by a valinorsma, or 15/11 raised by a keenanisma. Equating this interval with 11/8 results in the valinorsmic temperament, or with 15/11, the keenanismic temperament. Both can be used to bring 11/8 into the 7-limit.
This interval has also been called by DesertFreeze the valinorsmic acute superfourth.