Barium comma

Barium comma is a 5-limit interval that sets the difference between 56 syntonic commas and the octave, marking the closest approximation of the octave by stacking syntonic commas.

Interval information

Factorization	2-225 × 3224 × 5-56
Monzo	[-225 224 -56⟩
Size in cents	4.352217¢
Name	Barium comma
Color name	L24g56-8, quadtribila-sepquadbigu negative octave
FJS name	[math]\displaystyle{ - }[/math]
Special properties	reduced
Tenney norm (log2 nd)	710.06
Weil norm (log2 max(n, d))	710.063
Wilson norm (sopfr(nd))	1402
Comma size	small
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Tempering it out results in the barium temperament, which splits the octave into 56 equal parts. Some notable edos tempering out the barium comma are 224edo which is a zeta edo, and 2520edo which is a highly composite edo. The tuning systems which are not divisible by 56 cannot temper it out.