35/24

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Interval information

Ratio

35/24

Factorization

2^-3 × 3^-1 × 5 × 7

[-3 -1 1 1⟩

Size in cents

653.1846¢

Name

septimal subfifth

zy5, zoyo 5th

[math]\displaystyle{ \text{P5}^{5,7} }[/math]

Special properties

Tenney height (log₂ nd)

9.71425

Weil height (log₂ max(n, d))

10.2586

Wilson height (sopfr(nd))

21

Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])

~4.26982 bits

Open this interval in xen-calc

35/24, the septimal subfifth, is the interval between 6/5 and 7/4, and also between 8/7 and 5/3. It is 385/384 sharp of 16/11, and tempering out 385/384 leads to keenanismic chords such as 1-6/5-3/2-7/4 having all of their intervals counted as 11-limit consonances; since 385/384 is a small comma this works well in practice.

See also

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