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
Ratio 582.07 sextillion/581.59 sextillion
Factorization 2-52 × 3-17 × 534
Monzo [-52 -17 34
Size in cents 1.431257¢
Name 25/24 equal step tuning kleisma
FJS name [math]\displaystyle{ \text{17d}{-8}^{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 157.89
Weil height (log2 max(n, d)) 157.891
Wilson height (sopfr(nd)) 325
Open this interval in xen-calc

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.