Quintile comma: Difference between revisions
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m FloraC moved page Pental comma to Quintile comma: Implement the community-anticipated rename |
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The '''quintile comma''' ({{monzo|legend=1| -28 25 -5 }}, [[ratio]]: 847 288 609 443 / 838 860 800 000) is a [[small comma|small]] [[5-limit]] [[comma]] of about 17.306 [[cent]]s. | The '''quintile comma''' ({{monzo|legend=1| -28 25 -5 }}, [[ratio]]: 847 288 609 443 / 838 860 800 000) is a [[small comma|small]] [[5-limit]] [[comma]] of about 17.306 [[cent]]s. It is the amount by which a stack of five grave fourths of [[320/243]] falls short of two [[octave]]s, or the amount by which a stack of five acute fifths of [[243/160]] exceeds three octaves. It is also the amount by which a stack of five [[81/80|syntonic commas]] exceed a [[256/243|Pythagorean limma]]. | ||
== Temperaments == | |||
Tempering out this comma leads to the [[quintile family]] of temperaments. | Tempering out this comma leads to the [[quintile family]] of temperaments. | ||
[[Category:Commas named for their periods per equave]] | [[Category:Commas named for their periods per equave]] | ||
Revision as of 12:58, 19 February 2025
| Interval information |
The quintile comma (monzo: [-28 25 -5⟩, ratio: 847 288 609 443 / 838 860 800 000) is a small 5-limit comma of about 17.306 cents. It is the amount by which a stack of five grave fourths of 320/243 falls short of two octaves, or the amount by which a stack of five acute fifths of 243/160 exceeds three octaves. It is also the amount by which a stack of five syntonic commas exceed a Pythagorean limma.
Temperaments
Tempering out this comma leads to the quintile family of temperaments.