224/135: Difference between revisions

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'''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.
'''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 ==
== See also ==

Latest revision as of 22:52, 9 November 2024

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
Open this interval in xen-calc

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

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