Vavoom comma

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 295 578 376 007 080 078 125 /
295 147 905 179 352 825 856
Factorization 2-68 × 318 × 517
Monzo [-68 18 17
Size in cents 2.5231513¢
Name Vavoom comma
Color name quinla-seyo negative 7th, L5y17-7
FJS name [math]\text{12d}{-7}^{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5}[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 136.002
Weil height (log2 max(n, d)) 136.004
Wilson height (sopfr(nd)) 275
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.2583 bits
Comma size unnoticeable
open this interval in xen-calc

The vavoom comma is a 5-limit comma, which manifests itself as the difference between a stack of seventeen classic diatonic semitones of 16/15 and a perfect twelfth of 3/1. Tempering it out in the 5-limit leads to the vavoom family of temperaments.

When it is viewed as a comma in the 16.3.5 subgroup, the vavoom comma is tempered out in 17edt, since one step of 17edt is very close to 16/15.

See also