82/81
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| Ratio | 82/81 |
| Subgroup monzo | 2.3.41 [1 -4 1⟩ |
| Size in cents | 21.242402¢ |
| Name | 41-limit Johnston comma (HEJI) |
| Color name | 41o1, fowo unison |
| FJS name | [math]\text{P1}^{41}[/math] |
| Special properties | superparticular, reduced |
| Tenney height (log2 nd) | 12.6974 |
| Weil height (log2 max(n, d)) | 12.7151 |
| Wilson height (sopfr(nd)) | 55 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~3.91191 bits |
| Comma size | small |
| open this interval in xen-calc | |
82/81, or the 41-limit Johnston comma (HEJI), is a 2.3.41 subgroup comma. It is the amount by which 41/32 (the 41st harmonic) exceeds the Pythagorean major third (ditone) of 81/64, and differs from the syntonic comma (81/80) by 6561/6560. It is significant in Helmholtz-Ellis notation as the formal comma to translate a Pythagorean interval to a nearby 41-limit (prefix???) interval. It is the parent comma for the reversed meantone clan.