Sensibeta comma: Difference between revisions

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'''1071875/1062882''', the '''sensibeta comma''' is a [[small comma|small]] [[7-limit]] [[comma]]. It is the amount by which a stack of five [[10/9]]s and three [[7/6]]s exceeds [[8/3]], the perfect eleventh. The name ''sensibeta'' is a contraction of ''[[sensi]]'' and ''beta'' ([[Carlos Beta]]).  
'''1071875/1062882''', the '''sensibeta comma''' is a [[small comma|small]] [[7-limit]] [[comma]]. It is the amount by which a stack of five [[10/9]]'s and three [[7/6]]'s exceeds [[8/3]], the perfect eleventh.  


== Temperaments ==
== Temperaments ==
Tempering out this comma alone in the 7-limit leads to the rank-3 [[Starling–sensamagic equivalence continuum #Sensibeta|sensibeta temperament]]. Rank-2 temperaments which temper out this comma include [[sensi]], [[betic]], [[ketchup]], [[slithy]] and [[polypyth]].
[[Tempering out]] this comma alone in the 7-limit leads to the rank-3 [[sensibeta]] temperament. Rank-2 temperaments which temper out this comma include [[sensi]], [[betic]], [[ketchup]], [[slithy]] and [[polypyth]].
 
== Etymology ==
This comma was named by [[Xenllium]] in 2026 as a contraction of ''[[sensi]]'' and ''beta'' ([[Carlos Beta]]).  


[[Category:Sensibeta]]
[[Category:Sensibeta]]
[[Category:Commas named by combining multiple temperament names]]
[[Category:Commas named by combining multiple temperament names]]

Revision as of 16:13, 17 January 2026

Interval information
Ratio 1071875/1062882
Factorization 2-1 × 3-12 × 55 × 73
Monzo [-1 -12 5 3
Size in cents 14.58628¢
Name sensibeta comma
Color name sz3y52, satrizo-aquinyo 2nd
FJS name [math]\displaystyle{ \text{M2}^{5,5,5,5,5,7,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 40.0513
Weil norm (log2 max(n, d)) 40.0634
Wilson norm (sopfr(nd)) 84
Comma size small
Open this interval in xen-calc

1071875/1062882, the sensibeta comma is a small 7-limit comma. It is the amount by which a stack of five 10/9's and three 7/6's exceeds 8/3, the perfect eleventh.

Temperaments

Tempering out this comma alone in the 7-limit leads to the rank-3 sensibeta temperament. Rank-2 temperaments which temper out this comma include sensi, betic, ketchup, slithy and polypyth.

Etymology

This comma was named by Xenllium in 2026 as a contraction of sensi and beta (Carlos Beta).