128/75

Interval information

Ratio	128/75
Factorization	27 × 3-1 × 5-2
Monzo	[7 -1 -2⟩
Size in cents	925.4176¢
Name	classic(al) diminished seventh
Color name	gg7, gugu 7th
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
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.2351 bits
Open this interval in xen-calc

128/75 is the classic(al) 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.

See also

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