Jackpot comma
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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.