30/17

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Interval information

Ratio

30/17

Factorization

2 × 3 × 5 × 17^-1

[1 1 1 0 0 0 -1⟩

Size in cents

983.3133¢

Name

diatismic minor seventh

17uy6, suyo 6th

[math]\text{A6}^{5}_{17}[/math]

Special properties

Tenney height (log₂ nd)

8.99435

Weil height (log₂ max(n, d))

9.81378

Wilson height (sopfr(nd))

27

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

~4.19253 bits

Open this interval in xen-calc

In 17-limit just intonation, 30/17 is the diatismic minor seventh, measuring about 983.3 ¢. It falls short of the Pythagorean minor seventh (16/9) by a diatisma (136/135), hence the name. It is the mediant of 7/4 and 23/13. Its inversion is 17/15, the "septendecimal whole tone"; both of these intervals are well approximated in 22edo (18\22, 4\22).

See also

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