| 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]\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 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.