82/81: Difference between revisions
Jump to navigation
Jump to search
mNo edit summary |
+significance in FJS and misc. rework |
||
| Line 1: | Line 1: | ||
{{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 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. It is the parent comma for the [[reversed meantone clan]]. | ||
[[Category:Commas named after composers]] | [[Category:Commas named after composers]] | ||
[[Category:Commas named after music theorists]] | [[Category:Commas named after music theorists]] | ||
Revision as of 17:19, 28 November 2024
| Interval information |
reduced
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 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. It is the parent comma for the reversed meantone clan.