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]\displaystyle{ \text{d7}^{17}_{5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	7.40939
Weil norm (log2 max(n, d))	8.17493
Wilson norm (sopfr(nd))	24
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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.

Approximation

Edo approximations for 17/10 (918.64 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
4	3\4	900.00	-18.64	-6.21
13	10\13	923.08	+4.44	+4.80
17	13\17	917.65	-0.99	-1.41
21	16\21	914.29	-4.36	-7.62
26	20\26	923.08	+4.44	+9.61
30	23\30	920.00	+1.36	+3.40
34	26\34	917.65	-0.99	-2.82
38	29\38	915.79	-2.85	-9.03
43	33\43	920.93	+2.29	+8.20
47	36\47	919.15	+0.51	+1.99
51	39\51	917.65	-0.99	-4.23
60	46\60	920.00	+1.36	+6.79
64	49\64	918.75	+0.11	+0.58
68	52\68	917.65	-0.99	-5.64
77	59\77	919.48	+0.84	+5.38

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