Glacier comma

Interval information

Ratio	373248/371293
Factorization	29 × 36 × 13-5
Monzo	[9 6 0 0 0 -5⟩
Size in cents	9.091696¢
Name	glacier comma
Color name	3u5-2, quinthu negative 2nd
FJS name	[math]\displaystyle{ \text{ddd}{-2}_{13,13,13,13,13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	37.012
Weil norm (log2 max(n, d))	37.0196
Wilson norm (sopfr(nd))	101
Comma size	small
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The glacier comma is a 13-limit comma which is the difference between five small tridecimal neutral seconds of 13/12 and a perfect fifth (3/2). It is a quintic-particular^{[idiosyncratic term]} interval, that is, of the form ((n + 5)/n) / ((n + 3)/(n + 2))⁵ = (S(n + 1)⋅S(n + 2)²) / (S(n + 3)²⋅S(n + 4)).

Temperaments

Tempering out this comma in the 2.3.13 subgroup leads to the glacier temperament.

See also

• Quinticular comma – another example of quintic-particular comma