14/9

Interval information

Ratio	14/9
Factorization	2 × 3-2 × 7
Monzo	[1 -2 0 1⟩
Size in cents	764.9159¢
Names	subminor sixth, septimal minor sixth
Color name	z6, zo 6th
FJS name	[math]\displaystyle{ \text{m6}^{7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	6.97728
Weil norm (log2 max(n, d))	7.61471
Wilson norm (sopfr(nd))	15
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14/9, the septimal (sub)minor sixth is an interval of 764.9159 cents. This interval has an ambiguous character that it shares with its inversion 9/7, and which is distinct from the classical minor sixth 8/5.

Approximation

Edo approximations for 14/9 (764.92 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
3	2\3	800.00	+35.08	+8.77
8	5\8	750.00	-14.92	-9.94
11	7\11	763.64	-1.28	-1.17
14	9\14	771.43	+6.51	+7.60
22	14\22	763.64	-1.28	-2.35
25	16\25	768.00	+3.08	+6.43
33	21\33	763.64	-1.28	-3.52
36	23\36	766.67	+1.75	+5.25
44	28\44	763.64	-1.28	-4.69
47	30\47	765.96	+1.04	+4.08
55	35\55	763.64	-1.28	-5.86
58	37\58	765.52	+0.60	+2.91
66	42\66	763.64	-1.28	-7.04
69	44\69	765.22	+0.30	+1.73
77	49\77	763.64	-1.28	-8.21
80	51\80	765.00	+0.08	+0.56

See also

• 9/7 – its octave complement
• 27/14 – its twelfth complement
• 11edo has a good approximation: 7\11
• Gallery of just intervals

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