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 | |
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).