17/10

Interval information

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
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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