176/117: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 176/117
| Ratio = 176/117
| Monzo = 4 -2 0 0 1 -1
| Monzo = 4 -2 0 0 1 -1
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}}
}}


'''176/117''' is a [[13-limit]] [[ratio]] of 706.8 cents. It is [[352/351]] against the just perfect fifth of [[3/2]]. It arises in 13-limit [[just intonation]] by lowering [[22/13]] by [[9/8]] or by stacking [[16/13]] and [[11/9]].  
'''176/117''', the '''minthmic fifth''', is a [[13-limit]] [[interval]] of 706.8{{cent}}. It is [[352/351]] sharp of the just perfect fifth of [[3/2]]. It arises in 13-limit [[just intonation]] by lowering [[22/13]] by [[9/8]] or by stacking [[16/13]] and [[11/9]].  


== See also ==
== See also ==
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[[Category:13-limit]]
[[Category:13-limit]]
[[Category:Interval ratio]]
[[Category:Fifth]]
[[Category:Fifth]]
[[Category:Minthmic]]
[[Category:Minthmic]]
[[Category:Todo:add color name]]
 
[[Category:Todo:expand]]
{{todo|expand|add color name}}

Revision as of 14:05, 21 March 2022

Interval information
Ratio 176/117
Factorization 24 × 3-2 × 11 × 13-1
Monzo [4 -2 0 0 1 -1
Size in cents 706.8803¢
Name minthmic fifth
FJS name [math]\displaystyle{ \text{P5}^{11}_{13} }[/math]
Special properties reduced
Tenney height (log2 nd) 14.3298
Weil height (log2 max(n, d)) 14.9189
Wilson height (sopfr(nd)) 38

[sound info]
Open this interval in xen-calc

176/117, the minthmic fifth, is a 13-limit interval of 706.8 ¢. It is 352/351 sharp of the just perfect fifth of 3/2. It arises in 13-limit just intonation by lowering 22/13 by 9/8 or by stacking 16/13 and 11/9.

See also