128/81

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Interval information
Ratio 128/81
Factorization 27 × 3-4
Monzo [7 -4⟩
Size in cents 792.18¢
Name Pythagorean minor sixth
Color name sw6, sawa 6th
FJS name [math]\text{m6}[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 13.3399
Weil height (log2 max(n, d)) 14
Wilson height (sopfr(nd)) 26
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math]) 		~4.23128 bits

[sound info]
Open this interval in xen-calc

128/81 is the Pythagorean minor sixth, created by stacking four instances of 4/3 and octave-reducing. In contrast to the more typical 8/5—with which it is conflated in meantone—this interval has a harmonic entropy level roughly on par with that of 12/11. Thus, some would argue that it is functionally an imperfect dissonance.

See also

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