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
Color name	LLy34-8, lala-sebiyo negative octave
FJS name	[math]\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
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.21895 bits
Comma size	unnoticeable
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The septendecima (monzo: [-52 -17 34⟩) is an unnoticeable 5-limit comma. It is the difference between a stack of seventeen 25/24's and one octave.

The temperament which tempers out only this comma is 5-limit chlorine. The octave must be divisible by 17 in order to temper out this comma. Any edo such as 311edo, which is not a multiple of 17 cannot be tempering out this comma.