Audacity comma

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Interval information
Ratio 8192000000000/7625597484987
Factorization 222 × 3-27 × 59
Monzo [22 -27 9⟩
Size in cents 124.0384 ¢
Name audacity comma
Color name trisa-tritriyo 2nd, s3y92,
trisa-tritriyo comma
FJS name [math]\displaystyle{ \text{A2}^{5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 85.6913
Weil norm (log2 max(n, d)) 85.7947
Wilson norm (sopfr(nd)) 170
Open this interval in xen-calc

The audacity comma is a large 5-limit comma about 124 cents wide. It is the amount by which a stack of nine 40/27's exceeds five octaves.

Temperaments

Tempering out this comma leads to the audacity temperament, which tempers 40/27 to exactly 5\9 (five steps of 9edo) and is supported by 27edo and 63edo.

Etymology

This comma was named by Tristan Bay in 2026.