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 |
| Tenney height (log2 nd) | 13.3399 |
| Weil height (log2 max(n, d)) | 14 |
| Wilson height (sopfr (nd)) | 26 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.56646 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.