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 (log_{2} nd) | 8.99435 |
Weil height (log_{2} 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 |
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).