12/7
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Ratio
12/7
Factorization
22 × 3 × 7-1
Monzo
[2 1 0 -1⟩
Size in cents
933.1291¢
Names
supermajor sixth,
septimal major sixth
Color name
r6, ru 6th
FJS name
[math]\text{M6}_{7}[/math]
Special properties
reduced
Tenney height (log2 nd)
6.39232
Weil height (log2 max(n, d))
7.16993
Wilson height (sopfr(nd))
14
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.23275 bits
[sound info]
open this interval in xen-calc
| Interval information |
septimal major sixth
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
English Wikipedia has an article on:
In 7-limit just intonation, 12/7 is the supermajor sixth or septimal major sixth of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of 5/3 by 36/35 – the septimal quartertone – a superparticular interval of about 48.8¢. It differs from the Pythagorean major sixth of 27/16 by 64/63 – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of 7/4 by 49/48 – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of 7/6.
See also
- 7/6 – its octave complement
- 7/4 – its twelfth complement
- Gallery of just intervals
- File:Ji-12-7-csound-foscil-220hz.mp3 – an alternative sound sample