Counterschisma: Difference between revisions

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The '''counterschisma''' is a [[5-limit]] [[unnoticeable comma]] measuring about 1.66 cents. While the [[schisma]] is the difference between the [[Pythagorean comma]] and the [[81/80|syntonic comma]], the counterschisma, in contrast, is the difference between the [[41-comma]] and the syntonic comma. It is also the difference between the [[53-comma]] and the schisma. Tempering it out leads to [[Counterschismic_family|counterschismic temperament]].
The '''counterschisma''' is a [[5-limit]] [[unnoticeable comma]] measuring about 1.66 cents. While the [[schisma]] is the difference between the [[Pythagorean comma]] and the [[81/80|syntonic comma]], the counterschisma, in contrast, is the difference between the [[41-comma]] and the syntonic comma, or equivalently stated, the difference between the [[53-comma]] and the schisma, making the temperament part of the [[Schismic-Mercator equivalence continuum]].


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

Revision as of 06:32, 1 March 2021

Interval information
Ratio 2 954 312 706 550 833 698 643 /
2 951 479 051 793 528 258 560
Factorization 2-69 × 345 × 5-1
Monzo [-69 45 -1
Size in cents 1.661325¢
Name counterschisma
FJS name [math]\displaystyle{ \text{6d}{-5}_{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 142.645
Weil norm (log2 max(n, d)) 142.647
Wilson norm (sopfr(nd)) 278
Open this interval in xen-calc

The counterschisma is a 5-limit unnoticeable comma measuring about 1.66 cents. While the schisma is the difference between the Pythagorean comma and the syntonic comma, the counterschisma, in contrast, is the difference between the 41-comma and the syntonic comma, or equivalently stated, the difference between the 53-comma and the schisma, making the temperament part of the Schismic-Mercator equivalence continuum.

See also