Septendecima: Difference between revisions

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m Normalising usage of Infobox Interval
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| Ratio = 582 076 609 134 674 072 265 625 / <br>581 595 589 965 365 114 830 848
| Ratio = 582 076 609 134 674 072 265 625 / <br>581 595 589 965 365 114 830 848
| Monzo = -52 -17 34
| Monzo = -52 -17 34
| Cents = 1.4314
| Name = septendecima
| Name = septendecima
| Comma = yes
}}
}}


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* [[Unnoticeable comma]]
* [[Unnoticeable comma]]


[[Category:5-limit]]
[[Category:Unnoticeable commas]]
[[Category:Chlorine]]
[[Category:Chlorine]]

Revision as of 18:01, 25 October 2022

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