Septendecima: Difference between revisions
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Created page with "{{Infobox Interval|Monzo=-52 -17 34}} '''25/24 equal step tuning kleisma''', or 582076609134674072265625/581595589965365114830848 when fully written out, is a 5-limit unnotic..." |
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{{Infobox Interval|Monzo=-52 -17 34}} | {{Infobox Interval | ||
|Ratio=582.07 sextillion/581.59 sextillion | |||
|Cents=1.4314 | |||
|Monzo=-52 -17 34 | |||
|Name=25/24 equal step tuning kleisma | |||
}} | |||
'''25/24 equal step tuning kleisma''', or 582076609134674072265625/581595589965365114830848 when fully written out, is a 5-limit unnoticeable comma. It represents the difference between a stack of 17 [[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. | '''25/24 equal step tuning kleisma''', or 582076609134674072265625/581595589965365114830848 when fully written out, is a 5-limit unnoticeable comma. It represents the difference between a stack of 17 [[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. |
Revision as of 11:41, 18 January 2022
Interval information |
25/24 equal step tuning kleisma, or 582076609134674072265625/581595589965365114830848 when fully written out, is a 5-limit unnoticeable comma. It represents the difference between a stack of 17 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.