31/24: Difference between revisions
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Rework, getting rid of "sensi supermajor third" cuz this is a legit JI interval |
+relation to nearby Pythagorean intervals |
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| Sound = jid_31_24_pluck_adu_dr220.mp3 | | Sound = jid_31_24_pluck_adu_dr220.mp3 | ||
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In [[31-limit]] [[just intonation]], '''31/24''' is either the '''tricesimoprimal ultramajor third''' or '''tricesimoprimal semidiminished fourth'''. It can be used as a [[generator]] tuning for the [[sensi]] temperament, especially for the [[5-limit]] [[sensipent]] temperament. | In [[31-limit]] [[just intonation]], '''31/24''' is either the '''tricesimoprimal ultramajor third''' or '''tricesimoprimal semidiminished fourth'''. It is sharp of the [[81/64|Pythagorean major third (81/64)]] by [[248/243]], and flat of the [[4/3|perfect fourth (4/3)]] by [[32/31]]. It can be used as a [[generator]] tuning for the [[sensi]] temperament, especially for the [[5-limit]] [[sensipent]] temperament. | ||
== Approximation == | == Approximation == | ||
Revision as of 06:33, 26 July 2024
| Interval information |
tricesimoprimal semidiminished fourth
[sound info]
In 31-limit just intonation, 31/24 is either the tricesimoprimal ultramajor third or tricesimoprimal semidiminished fourth. It is sharp of the Pythagorean major third (81/64) by 248/243, and flat of the perfect fourth (4/3) by 32/31. It can be used as a generator tuning for the sensi temperament, especially for the 5-limit sensipent temperament.
Approximation
31/24 is very closely approximated by 24\65.
See also
- 48/31 – its octave complement
- 36/31 – its fifth complement