Aristoschisma

The aristoschisma is an unnoticeable 7-limit comma measuring about 1.85 cents. It is the difference between the septischisma and the schisma, as well as the difference between the septimal quartertone and a stack of two Pythagorean commas.

Interval information

Factorization	240 × 3-22 × 5-1 × 7-1
Monzo	[40 -22 -1 -1⟩
Size in cents	1.850361 ¢
Name	aristoschisma
FJS name	[math]\displaystyle{ \text{ddd3}_{5,7} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	79.9985
Weil norm (log2 max(n, d))	80
Wilson norm (sopfr(nd))	158
Comma size	unnoticeable
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Temperaments

Tempering out this comma in the 7-limit leads to the rank-3 aristoschismic temperament, which sets the Pythagorean comma to the mean of the syntonic comma and the septimal comma.

Etymology

This comma was named by Flora Canou in 2026 as a counterpart of the aberschisma, from Greek aristo- ("best") and schisma.