30/17
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Ratio
30/17
Factorization
2 × 3 × 5 × 17-1
Monzo
[1 1 1 0 0 0 -1⟩
Size in cents
983.31331¢
Name
diatismic minor seventh
Color name
17uy6, suyo 6th
FJS name
[math]\text{A6}^{5}_{17}[/math]
Special properties
reduced
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
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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).