128/75: Difference between revisions

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'''128/75''' is the classic ([[5-limit]]) diminished seventh.  While many would perhaps not think much of this interval, it does indeed serve as a diminished seventh in the 5-limit chord 1/1-32/25-36/25-128/75, which can serve as an unexpected method of tonicizing the note located at [[25/16]] below the root.
'''128/75''' is the classic ([[5-limit]]) diminished seventh.  While many would perhaps not think much of this interval, it does indeed serve as a diminished seventh in the 5-limit chord 1/1-32/25-36/25-128/75, which can serve as an unexpected method of tonicizing the note located at [[25/16]] below the root.  That said, in the same way that 75/64 can also be considered a diminished third, 128/75 can also be considered an augmented sixth.


== See also ==
== See also ==
* [[75/64]] – its [[octave complement]]
* [[75/64]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]

Revision as of 23:31, 6 November 2021

Interval information
Ratio 128/75
Factorization 27 × 3-1 × 5-2
Monzo [7 -1 -2
Size in cents 925.4176¢
Name classic diminished seventh
FJS name [math]\displaystyle{ \text{d7}_{5,5} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 13.2288
Weil height (log2 max(n, d)) 14
Wilson height (sopfr(nd)) 27
Open this interval in xen-calc

128/75 is the classic (5-limit) diminished seventh. While many would perhaps not think much of this interval, it does indeed serve as a diminished seventh in the 5-limit chord 1/1-32/25-36/25-128/75, which can serve as an unexpected method of tonicizing the note located at 25/16 below the root. That said, in the same way that 75/64 can also be considered a diminished third, 128/75 can also be considered an augmented sixth.

See also