85/64

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

[-6 0 1 0 0 0 1⟩

Size in cents

491.2691¢

Name

septendecimal fourth

[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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