3125/2916: Difference between revisions

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'''3125/2916''', or the '''sixix comma''' (119.839 [[cent]]s in size) is the comma which defines the [[sixix]] temperament, a temperament available in [[25edo]], [[32edo]] and [[43edo]].
'''3125/2916''', or the '''sixix comma''' (119.839 [[cent]]s in size) is the comma which defines the [[sixix]] temperament, a temperament available in [[25edo]], [[32edo]] and [[43edo]].


If treated as a melodic interval rather than a comma, then it is very well approximated by one step of [[10edo]]. This is realized in the [[neon]] temperament, with the {{monzo| 21 60 -50 }}, the [[neon comma]] being the difference between a stack of 10 3125/2916's and the octave.
If treated as a melodic interval rather than a comma, then it is very well approximated by one step of [[10edo]]. The small difference between a stack of 10 3125/2916's and the octave, {{monzo| 21 60 -50 }}, is called the [[neon comma]] and it realizes the [[neon]] 5-limit temperament.  


== See also ==
== See also ==

Latest revision as of 23:50, 6 November 2025

Interval information
Ratio 3125/2916
Factorization 2-2 × 3-6 × 55
Monzo [-2 -6 5
Size in cents 119.8386¢
Name sixix comma
Color name y51, quinyo unison
FJS name [math]\displaystyle{ \text{AA1}^{5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 23.1194
Weil norm (log2 max(n, d)) 23.2193
Wilson norm (sopfr(nd)) 47
Comma size large
Open this interval in xen-calc

3125/2916, or the sixix comma (119.839 cents in size) is the comma which defines the sixix temperament, a temperament available in 25edo, 32edo and 43edo.

If treated as a melodic interval rather than a comma, then it is very well approximated by one step of 10edo. The small difference between a stack of 10 3125/2916's and the octave, [21 60 -50, is called the neon comma and it realizes the neon 5-limit temperament.

See also