176/117: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 176/117
| Monzo = 4 -2 0 0 1 -1
| Cents = 706.88028
| Name = minthmic fifth
| Name = minthmic fifth
| Color name =
| FJS name = P5<sup>11</sup><sub>13</sub>
| Sound = Ji-176-117-csound-foscil-220hz.mp3
| Sound = Ji-176-117-csound-foscil-220hz.mp3
}}
}}
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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:13-limit]]
[[Category:Fifth]]
[[Category:Fifth]]
[[Category:Minthmic]]
[[Category:Minthmic]]


{{todo|expand|add color name}}
{{todo|expand}}

Revision as of 12:48, 25 October 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

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