27/14

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Interval information

Ratio

27/14

Factorization

2^-1 × 3³ × 7^-1

[-1 3 0 -1⟩

Size in cents

1137.039¢

Names

septimal major seventh,
supermajor seventh

r7, ru 7th

[math]\displaystyle{ \text{M7}_{7} }[/math]

Special properties

Tenney height (log₂ nd)

8.56224

Weil height (log₂ max(n, d))

9.50978

Wilson height (sopfr(nd))

18

Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])

~4.29714 bits

Open this interval in xen-calc

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.

It is very accurately approximated by 19edo (18\19), and hence the enneadecal temperament.

See also

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