Jackpot comma: Difference between revisions

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Another way of looking at it
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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.  
Jackpot comma is the difference between a stack of 7 [[29/16]] and 6 [[2/1]] (alternatively, between a stack of 7 [[32/29]] and an octave). Equal divisions that are not multiples of 7 cannot temper it out.  
== Temperaments ==
== Temperaments ==
Tempering it out produces the [[jackpot]] temperament, which sets 29th harmonic (octave-reduced) to be represented by 6\7.
Tempering it out produces the [[jackpot]] temperament, which sets 29th harmonic (octave-reduced) to be represented by 6\7.


[[Category:Commas with unknown etymology]]
[[Category:Commas with unknown etymology]]

Revision as of 05:45, 29 May 2026

Interval information
Ratio 17249876309/17179869184
Subgroup monzo 2.29 [-34 7
Size in cents 7.040359¢
Name jackpot comma
FJS name [math]\displaystyle{ \text{dd1}^{29,29,29,29,29,29,29} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 68.0059
Weil norm (log2 max(n, d)) 68.0117
Wilson norm (sopfr(nd)) 271
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 (alternatively, between a stack of 7 32/29 and an octave). 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.