Cantonisma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
m FloraC moved page 10985/10976 to Cantonisma: Ratio is a little bit too complex for a title
m +see also, +categories
Line 10: Line 10:
}}
}}


'''10985/10976''', otherwise known as the '''cantonisma''', is an [[unnoticeable comma]] of the [[13-limit]] with a value of approximately 1.4 cents.  It forms the difference between a stack of three [[14/13]] trienthirds, and one [[5/4]] major third, and is tempered out in such notable [[EDO|EDO]]s as {{EDOs|46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764}}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.
'''10985/10976''', otherwise known as the '''cantonisma''', is an [[unnoticeable comma]] of the [[13-limit]] with a value of approximately 1.4 cents.  It forms the difference between a stack of three [[14/13]] trienthirds, and one [[5/4]] major third, and is tempered out in such notable [[EDO]]s as {{EDOs| 46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764 }}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.
 
== See also ==
* [[Unnoticeable comma]]
 
[[Category:13-limit]]
[[Category:Unnoticeable comma]]

Revision as of 14:45, 24 November 2020

Interval information
Ratio 10985/10976
Factorization 2-5 × 5 × 7-3 × 133
Monzo [-5 0 1 -3 0 3
Size in cents 1.41898¢
Name cantonisma
FJS name [math]\displaystyle{ \text{M}{-2}^{5,13,13,13}_{7,7,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 26.8453
Weil height (log2 max(n, d)) 26.8465
Wilson height (sopfr(nd)) 75
Open this interval in xen-calc

10985/10976, otherwise known as the cantonisma, is an unnoticeable comma of the 13-limit with a value of approximately 1.4 cents. It forms the difference between a stack of three 14/13 trienthirds, and one 5/4 major third, and is tempered out in such notable EDOs as 46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.

See also