Garischisma

Interval information

Ratio	33554432/33480783
Factorization	225 × 3-14 × 7-1
Monzo	[25 -14 0 -1⟩
Size in cents	3.804081¢
Names	garischisma, septimal schisma
Color name	ssr2, sasaru 2nd, Sasaru comma
FJS name	[math]\displaystyle{ \text{d2}_{7} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	49.9968
Weil norm (log2 max(n, d))	50
Wilson norm (sopfr(nd))	99
Comma size	small
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The garischisma or septimal schisma is a very small 7-limit comma measuring about 3.80 cents. It is most well known as the difference between the Pythagorean comma and the septimal comma. It is also the difference the difference between:

• 8/7 and 2 apotomes
• The hemifamity comma and the schisma

It also factors into the following higher limit commas:

• The symbiotic comma and olympia
• The wilschisma and the minisma

Temperaments

Tempering out this comma in the full 7-limit leads to the rank-3 garischismic temperament, or in the 2.3.7 subgroup, the rank-2 gary temperament. See Garischismic family for the family of rank-3 temperaments where it is tempered out. See Garischismic clan for the clan of rank-2 temperaments where it is tempered out.

Etymology

Its name comes from the temperament garibaldi and the schisma, as it is a similarly sized interval that alongside it, defines garibaldi.