4000/3993: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Don't miss the point of comparing this with porcupine
m +category
Line 14: Line 14:
[[Category:11-limit]]
[[Category:11-limit]]
[[Category:Unnoticeable comma]]
[[Category:Unnoticeable comma]]
[[Category:Wizardharry]]

Revision as of 06:42, 26 December 2020

Interval information
Ratio 4000/3993
Factorization 25 × 3-1 × 53 × 11-3
Monzo [5 -1 3 0 -3
Size in cents 3.032314¢
Name wizardharry comma
Color name Triluyo comma
FJS name [math]\displaystyle{ \text{AA1}^{5,5,5}_{11,11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 23.929
Weil norm (log2 max(n, d)) 23.9316
Wilson norm (sopfr(nd)) 61
Open this interval in xen-calc

4000/3993, the wizardharry comma, is an unnoticeable 11-limit comma with a size of roughly 3.03 cents. It is the amount by which a stack of three 11/10 submajor seconds falls short of the 4/3 perfect fourth. Tempering it out means the 4th is divided into an equal stepped tetrachord; however, it does this by means equating a stack of three 11/10's with 4/3, rather than that of three 10/9's as in the porcupine family of temperaments. 11-limit porcupine does both as 11/10 and 10/9 are equated.