17/10
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| Ratio | 17/10 |
| Factorization | 2-1 × 5-1 × 17 |
| Monzo | [-1 0 -1 0 0 0 1⟩ |
| Size in cents | 918.6417¢ |
| Name | diatismic major sixth |
| Color name | 17og7, sogu 7th |
| FJS name | [math]\text{d7}^{17}_{5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 7.40939 |
| Weil height (log2 max(n, d)) | 8.17493 |
| Wilson height (sopfr (nd)) | 24 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.25246 bits |
[sound info] | |
| open this interval in xen-calc | |
In 17-limit just Intonation, 17/10 is the diatismic major sixth, measuring about 918.6¢. It exceeds the Pythagorean major sixth (27/16) by a diatisma (136/135), hence the name. It is the mediant of 5/3 and 12/7. Its octave complement is 20/17, the diatismic minor third.
See also
- 20/17 – its octave complement
- 3\4 or 9\12 (900 cents)
- 10\13 (923.08 cents)
- 13\17 (917.65 cents)
- Gallery of just intervals