128/75

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
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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. 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

• 75/64 – its octave complement
• Gallery of just intervals