82/81: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
|Ratio = 82/81 | | Ratio = 82/81 | ||
|Name = 41-limit Johnston comma (HEJI) | | Name = 41-limit Johnston comma (HEJI) | ||
|Color name = 41o1, fowo unison | | Color name = 41o1, fowo unison | ||
|Comma = yes | | Comma = yes | ||
}} | }} | ||
'''82/81''', or the | '''82/81''', or the '''41-limit Johnston comma (HEJI)''', is a 2.3.41 subgroup comma. It is the amount by which the octave-reduced 41st harmonic [[41/32]] exceeds the Pythagorean major third (ditone) of [[81/64]], and differs from the syntonic comma ([[81/80]]) by [[6561/6560]]. It is the parent comma for the [[reversed meantone clan]]. | ||
This interval is significant in the [[Functional Just System]] and [[Helmholtz–Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby quadracesimoprimal (41-limit) interval. In Helmholtz–Ellis notation, the symbols are adapted from [[Ben Johnston]]'s plus and minus signs representing 81/80. | |||
[[Category:Commas named after composers]] | |||
[[Category:Commas named after music theorists]] | |||