127/72
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In just intonation, 127/72 is the frequency ratio between the 127th and the 72th harmonic.
It is the mean between the harmonic seventh and the Pythagorean minor seventh: (7/4 + 16/9)/2 = 127/72.
It can also be calculated from the septimal comma: ((64/63 - 1)/2 + 1)⋅(7/4) = 127/72.
| Ratio | 127/72 |
| Subgroup monzo | 2.3.127 [-3 -2 1⟩ |
| Size in cents | 982.51162¢ |
| Name | harmonic/Pythagorean minor seventh meantone |
| Color name | 127o7 |
| FJS name | [math]\text{m7}^{127}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 13.1586 |
| Weil height (log2 max(n, d)) | 13.9774 |
| Wilson height (sopfr(nd)) | 139 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.18528 bits |
| open this interval in xen-calc | |