Jackpot comma
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Ratio
17249876309/17179869184
Subgroup monzo
2.29 [-34 7⟩
Size in cents
7.040359¢
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
Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.