31/27: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = tricesimoprimal ultramajor second, tricesimoprimal inframinor third | | Name = (lesser) tricesimoprimal ultramajor second, (lesser) tricesimoprimal inframinor third | ||
| Color name = 31o2, thiwo 2nd | |||
}} | }} | ||
In [[31-limit]] [[just intonation]], '''31/27''' is either the '''tricesimoprimal ultramajor second''' or '''tricesimoprimal inframinor third'''. It is sharp of the [[9/8|Pythagorean major second (9/8)]] by [[248/243]], and flat of the [[32/27|minor third (32/27)]] by [[32/31]]. | In [[31-limit]] [[just intonation]], '''31/27''' is either the '''tricesimoprimal ultramajor second''' or '''tricesimoprimal inframinor third'''. It is sharp of the [[9/8|Pythagorean major second (9/8)]] by [[248/243]], sharp of the [[8/7|septimal major second (8/7)]] by [[217/216]], and flat of the [[32/27|minor third (32/27)]] by [[32/31]]. It differs from the [[23/20|vicesimotertial inframinor third]] by [[621/620]] | ||
== Approximation == | == Approximation == | ||
This interval is very accurately approximated by [[5edo|1\5]]. | This interval is very accurately approximated by [[5edo|1\5]]. Five intervals of 31/27 fall short of the octave by [[28697814/28629151]]. | ||
== See also == | == See also == | ||
* [[54/31]] – its [[octave complement]] | * [[54/31]] – its [[octave complement]] | ||
* [[36/31]] – its [[fourth complement]] | |||
[[Category:Second]] | [[Category:Second]] | ||
Latest revision as of 04:33, 31 January 2026
| Interval information |
(lesser) tricesimoprimal inframinor third
In 31-limit just intonation, 31/27 is either the tricesimoprimal ultramajor second or tricesimoprimal inframinor third. It is sharp of the Pythagorean major second (9/8) by 248/243, sharp of the septimal major second (8/7) by 217/216, and flat of the minor third (32/27) by 32/31. It differs from the vicesimotertial inframinor third by 621/620
Approximation
This interval is very accurately approximated by 1\5. Five intervals of 31/27 fall short of the octave by 28697814/28629151.
See also
- 54/31 – its octave complement
- 36/31 – its fourth complement