224/135
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Ratio
224/135
Factorization
25 × 3-3 × 5-1 × 7
Monzo
[5 -3 -1 1⟩
Size in cents
876.6472¢
Names
septimal narrow major sixth,
marvelous major sixth
Color name
zg7, zogu 7th
FJS name
[math]\text{d7}^{7}_{5}[/math]
Special properties
reduced
Tenney height (log2 nd)
14.8842
Weil height (log2 max(n, d))
15.6147
Wilson height (sopfr(nd))
31
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.9944 bits
open this interval in xen-calc
| Interval information |
marvelous major sixth
(Shannon, [math]\sqrt{nd}[/math])
224/135, the septimal narrow major sixth, or marvelous major sixth, is a 7-limit interval that forms the difference between 7/4 and 135/128, and between 16/9 and 15/14. Given that 135/128 is a type of chromatic semitone, this means 224/135 functionally doubles as a type of diminished seventh.
See also
- 135/112 -- its octave complement
- Gallery of just intervals