31/24: Difference between revisions

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Rework, getting rid of "sensi supermajor third" cuz this is a legit JI interval
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{{Infobox Interval
{{Infobox Interval
| Name = sensi supermajor third
| Name = tricesimoprimal ultramajor third, tricesimoprimal semidiminished fourth
| Color name = 31o3, thiwo 3rd
| Color name = 31o3, thiwo 3rd
| Sound = jid_31_24_pluck_adu_dr220.mp3
| Sound = jid_31_24_pluck_adu_dr220.mp3
}}
}}
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.


'''31/24''', the '''sensi supermajor third''', can be used as a generator tuning for [[Sensipent family#Sensi|sensi temperament]], especially for the [[5-limit]] sensipent temperament. It is very close to the 24\[[65edo|65]] generator.
== Approximation ==
31/24 is very closely approximated by [[24edo|24\65]].
 
== See also ==
* [[48/31]] – its [[octave complement]]
* [[36/31]] – its [[fifth complement]]


[[Category:Third]]
[[Category:Third]]
[[Category:Supermajor third]]
[[Category:Supermajor third]]
[[Category:Fourth]]
[[Category:Subfourth]]
[[Category:Interseptimal intervals]]
[[Category:Interseptimal intervals]]
[[Category:Naiadic]]
[[Category:Naiadic]]

Revision as of 06:31, 26 July 2024

Interval information
Ratio 31/24
Subgroup monzo 2.3.31 [-3 -1 1
Size in cents 443.0806¢
Names tricesimoprimal ultramajor third,
tricesimoprimal semidiminished fourth
Color name 31o3, thiwo 3rd
FJS name [math]\displaystyle{ \text{M3}^{31} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.53916
Weil height (log2 max(n, d)) 9.90839
Wilson height (sopfr(nd)) 40

[sound info]
Open this interval in xen-calc

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.

Approximation

31/24 is very closely approximated by 24\65.

See also