128/81
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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
| Interval information |
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.