128/75

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Interval information
Ratio 128/75
Factorization 27 × 3-1 × 5-2
Monzo [7 -1 -2
Size in cents 925.41757¢
Name classic(al) diminished seventh
Color name gg7, gugu 7th
FJS name [math]\text{d7}_{5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 13.2288
Weil height (log2 max(n, d)) 14
Wilson height (sopfr (nd)) 27
Harmonic entropy
(Shannon, [math]\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