182/121: Difference between revisions
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- explanation on the name (the hyphenation should make it clear enough) |
DesertFreeze (talk | contribs) Refined interval names |
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| Sound = Ji-182-121-csound-foscil-220hz.mp3 | | Sound = Ji-182-121-csound-foscil-220hz.mp3 | ||
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'''182/121''', the '''minor-minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363|minor-minthma (364/363)]] sharp of the perfect fifth ( | '''182/121''', the '''minor-minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363|minor-minthma (364/363)]] sharp of the [[3/2|perfect fifth (3/2)]]. It is the stack of the [[14/11|pentacircle major third (14/11)]] and the [[13/11|major-minthmic minor third (13/11)]] ((13/11)⋅(14/11) = 182/121). | ||
== Approximation == | == Approximation == | ||
This interval is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121. | This interval is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121. | ||
It is also incredibly close to the major-minthmic fifth ( | It is also incredibly close to the [[176/117|major-minthmic fifth (176/117]], 706.8803{{cent}}), found as a stack of a [[16/13|tridecimal neutral third (16/13)]] and an [[11/9|undecimal neutral third (11/9)]]: ((11/9)⋅(16/13) = 176/117). | ||
== See also == | == See also == | ||
Latest revision as of 13:28, 31 August 2026
| Interval information |
[sound info]
182/121, the minor-minthmic fifth, is a 13-limit interval measuring about 706.7 ¢. It is a minor-minthma (364/363) sharp of the perfect fifth (3/2). It is the stack of the pentacircle major third (14/11) and the major-minthmic minor third (13/11) ((13/11)⋅(14/11) = 182/121).
Approximation
This interval is rather well approximated by the regular fifths in 17edo: 10\17 is 0.8 ¢ flat of 182/121.
It is also incredibly close to the major-minthmic fifth (176/117, 706.8803 ¢), found as a stack of a tridecimal neutral third (16/13) and an undecimal neutral third (11/9): ((11/9)⋅(16/13) = 176/117).