Bastille comma

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Interval information

Factorization	21426 × 5-596 × 7-15
Monzo	[1426 0 -596 -15⟩
Size in cents	24.63794¢
Name	bastille comma
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	2851.98
Weil height (log2 max(n, d))	2852
Wilson height (sopfr(nd))	5937
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.21632 bits
Comma size	small
Open this interval in xen-calc

The Bastille comma is a 2.5.7 subgroup comma associated with temperament-merging 1407edo and 1789edo, which together produce 14/07/1789, the date of storming of Bastille. See Bastille for associated music theory.

Bastille comma is a small comma measuring about 25 cents, or alternately about 29 steps of 1407edo and 37 steps of 1789edo. However, because the circle of generators is so large, each of them is flattened by a really small amount of the comma, well below the step sizes, thus enabling the tuning.