Septendecima

Interval information

Ratio	582 076 609 134 674 072 265 625 / 581 595 589 965 365 114 830 848
Factorization	2-52 × 3-17 × 534
Monzo	[-52 -17 34⟩
Size in cents	1.431257¢
Name	septendecima
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
Comma size	unnoticeable
Open this interval in xen-calc

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.

See also

• Unnoticeable comma