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 (log_{2} nd) | 12.6974 |
Weil height (log_{2} 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.