27/14
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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]\text{M7}_{7}[/math]
Special properties
reduced
Tenney height (log2 nd)
8.56224
Weil height (log2 max(n, d))
9.50978
Wilson height (sopfr(nd))
18
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.29714 bits
[sound info]
open this interval in xen-calc
Interval information |
supermajor seventh
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
In 7-limit just intonation, 27/14 is the septimal major seventh or supermajor 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.