Jackpot comma

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 17249876309/17179869184
Subgroup monzo 2.29 [-34 7
Size in cents 7.0403591¢
Name jackpot comma
FJS name [math]\text{dd1}^{29,29,29,29,29,29,29}[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 68.0059
Weil height (log2 max(n, d)) 68.0117
Wilson height (sopfr(nd)) 271
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.65039 bits
Comma size small
open this interval in xen-calc

Jackpot comma is the difference between a stack of 7 29/16 and 6 2/1. Equal divisions that are not multiples of 7 cannot temper it out.

Temperaments

Tempering it out produces the jackpot temperament, which sets 29th harmonic (octave-reduced) to be represented by 6\7.