128/81
Jump to navigation
Jump to search
Ratio | 128/81 |
Factorization | 2^{7} × 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 (log_{2} nd) | 13.3399 |
Weil height (log_{2} 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.