Barium comma

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Interval information
Factorization 2-225 × 3224 × 5-56
Monzo [-225 224 -56
Size in cents 4.3522174¢
Name Barium comma
Color name L24g56-8, quadtribila-sepquadbigu negative octave
FJS name [math]-[/math]
Special properties reduced
Tenney height (log2 nd) 710.06
Weil height (log2 max(n, d)) 710.063
Wilson height (sopfr (nd)) 1402
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.47992 bits
Comma size small
open this interval in xen-calc

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.

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.