224/135

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~3.9944 bits
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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