Bastille comma: Difference between revisions

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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.
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.


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.
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.

Revision as of 07:49, 3 January 2024

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
Comma size small
Open this interval in xen-calc

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.

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.