Septendecima

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.