752/729
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| Ratio | 752/729 |
| Subgroup monzo | 2.3.47 [4 -6 1⟩ |
| Size in cents | 53.776617¢ |
| Name | 47-limit ~quartertone (HEJI) |
| Color name | s47o2, safoso 2nd |
| FJS name | [math]\text{m2}^{47}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 19.0644 |
| Weil height (log2 max(n, d)) | 19.1092 |
| Wilson height (sopfr(nd)) | 73 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.44078 bits |
| Comma size | medium |
| open this interval in xen-calc | |
752/729, or the 47-limit ~quartertone comma (HEJI), is a 2.3.47 subgroup comma. It is the amount by which 47/32 (the 47th harmonic) exceeds the Pythagorean augmented fourth (729/512). It is significant in Helmholtz-Ellis notation as the formal comma to translate a Pythagorean interval to a nearby 47-limit (prefix???) interval.