75/64

Interval information

Ratio	75/64
Factorization	2-6 × 3 × 52
Monzo	[-6 1 2⟩
Size in cents	274.5824¢
Name	classic(al) augmented second
Color name	yy2, yoyo 2nd
FJS name	[math]\displaystyle{ \text{A2}^{5,5} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	12.2288
Weil height (log2 max(n, d))	12.4576
Wilson height (sopfr(nd))	25
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.16092 bits
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75/64, the classic(al) augmented second, arises as 9/8 sharpened by 25/24. It can also be created by stacking nine 3/2's, octave reducing, and subtracting two syntonic commas. It is the unchanged interval (eigenmonzo) for 2/9-comma meantone. In terms of interval regions, it can be treated as a subminor third.

See also

• 128/75 – its octave complement
• Gallery of just intervals