Blackjackisma

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 854296875/843308032
Factorization 2-10 × 37 × 58 × 7-7
Monzo [-10 7 8 -7
Size in cents 22.41337¢
Name blackjackisma
Color name Lr7y8-6, Lasepru-aquadbiyo comma
FJS name [math]\text{7d}{-6}^{5,5,5,5,5,5,5,5}_{7,7,7,7,7,7,7}[/math]
Special properties reduced
Tenney height (log2 nd) 59.3216
Weil height (log2 max(n, d)) 59.3403
Wilson height (sopfr(nd)) 130
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.03446 bits
Comma size small
open this interval in xen-calc

The blackjackisma (monzo[-10 7 8 -7, ratio: 854296875/843308032) is a small 7-limit comma. It is the amount by which a stack of seven 15/14's exceeds the classical minor sixth (8/5).

Temperaments

Tempering out this comma in the 7-limit results in the rank-3 blackjackismic temperament.

Etymology

This comma was named by Gene Ward Smith in 2011 for the fact that the Blackjack scale contains a pump for this comma[1].

Notes