27/14

In 7-limit just intonation, 27/14 is the septimal (super)major seventh. At about 1137 cents, it sounds much more tense than its classic counterpart 15/8 and thus provides the function of a strong leading tone added to the traditional harmony.

Interval information

Ratio	27/14
Factorization	2-1 × 33 × 7-1
Monzo	[-1 3 0 -1⟩
Size in cents	1137.039¢
Names	septimal major seventh, supermajor seventh
Color name	r7, ru 7th
FJS name	[math]\displaystyle{ \text{M7}_{7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.56224
Weil norm (log2 max(n, d))	9.50978
Wilson norm (sopfr(nd))	18
[sound info]
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It is very accurately approximated by 19edo (18\19), and hence the enneadecal temperament.

Approximation

Edo approximations for 27/14 (1137.04 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
18	17\18	1133.33	-3.71	-5.56
19	18\19	1136.84	-0.20	-0.31
20	19\20	1140.00	+2.96	+4.93
37	35\37	1135.14	-1.90	-5.87
38	36\38	1136.84	-0.20	-0.62
39	37\39	1138.46	+1.42	+4.62
40	38\40	1140.00	+2.96	+9.87
56	53\56	1135.71	-1.32	-6.18
57	54\57	1136.84	-0.20	-0.94
58	55\58	1137.93	+0.89	+4.31
59	56\59	1138.98	+1.94	+9.56
75	71\75	1136.00	-1.04	-6.49
76	72\76	1136.84	-0.20	-1.25
77	73\77	1137.66	+0.62	+4.00
78	74\78	1138.46	+1.42	+9.25

See also

• 28/27 – its octave complement
• 14/9 – its twelfth complement
• Gallery of just intervals