85/64

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Revision as of 14:26, 5 September 2021 by Aura (talk | contribs) (I now realize that 85/64 is not a perfect substitute for 4/3. That said, it does have its uses, and I will eventually describe some of them.)
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Interval information
Ratio 85/64
Factorization 2-6 × 5 × 17
Monzo [-6 0 1 0 0 0 1⟩
Size in cents 491.2691¢
Name septendecimal fourth
FJS name [math]\displaystyle{ \text{P4}^{5,17} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 12.4094
Weil height (log2 max(n, d)) 12.8188
Wilson height (sopfr(nd)) 34
Open this interval in xen-calc

85/64, the septendecimal fourth, is a 17-limit interval that comes quite close to 4/3, from which it differs by 256/255.

See also

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