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
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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