117/88: Difference between revisions

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[[Category:Fourth]]
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Revision as of 23:46, 22 February 2022

Interval information
Ratio 117/88
Factorization 2-3 × 32 × 11-1 × 13
Monzo [-3 2 0 0 -1 1⟩
Size in cents 493.1197¢
Name minthmic fourth
Color name 3o1u4, tholu 4th
FJS name [math]\displaystyle{ \text{P4}^{13}_{11} }[/math]
Special properties reduced
Tenney height (log2 nd) 13.3298
Weil height (log2 max(n, d)) 13.7407
Wilson height (sopfr(nd)) 36

[sound info]
Open this interval in xen-calc

117/88 is the minthmic fourth, a 13-limit ratio with a value of 493 cents. It is 352/351 against the just perfect fourth of 4/3. It arises in 13-limit just intonation by stacking 13/11 and 9/8, or by lowering 13/8 by 11/9.

See also

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