Septendecima: Difference between revisions
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The '''septendecima''' ([[monzo]]: {{monzo| -52 -17 34 }}) is a [[5-limit]] [[unnoticeable comma]]. It represents the difference between a stack of seventeen [[25/24]] intervals and one octave, and tempering it out means that [[25/24 equal-step tuning]] is equated with [[17edo]]. Therefore, a temperament must be divisible by 17 in order to temper out this comma, any edo such as [[311edo]], which isn't a multiple of 17 cannot be tempering out the 25/24 kleisma. | The '''septendecima''' ([[monzo]]: {{monzo| -52 -17 34 }}) is a [[5-limit]] [[unnoticeable comma]]. It represents the difference between a stack of seventeen [[25/24]] intervals and one octave, and tempering it out means that [[25/24 equal-step tuning]] is equated with [[17edo]]. Therefore, a temperament must be divisible by 17 in order to temper out this comma, any edo such as [[311edo]], which isn't a multiple of 17 cannot be tempering out the 25/24 kleisma. | ||
== See also == | |||
* [[Unnoticeable comma]] | |||
[[Category:5-limit]] | [[Category:5-limit]] | ||
[[Category:Unnoticeable comma]] | [[Category:Unnoticeable comma]] | ||
[[Category:Chlorine]] | [[Category:Chlorine]] | ||
Revision as of 13:12, 18 January 2022
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The septendecima (monzo: [-52 -17 34⟩) is a 5-limit unnoticeable comma. It represents the difference between a stack of seventeen 25/24 intervals and one octave, and tempering it out means that 25/24 equal-step tuning is equated with 17edo. Therefore, a temperament must be divisible by 17 in order to temper out this comma, any edo such as 311edo, which isn't a multiple of 17 cannot be tempering out the 25/24 kleisma.