224/135

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Interval information
Ratio 224/135
Factorization 25 × 3-3 × 5-1 × 7
Monzo [5 -3 -1 1
Size in cents 876.64719¢
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

224/135, the septimal narrow minor sixth, or marvelous minor 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