151263/151250

Interval information

Ratio	151263/151250
Factorization	2-1 × 32 × 5-4 × 75 × 11-2
Monzo	[-1 2 -4 5 -2⟩
Size in cents	0.1487939¢
Name	odiheim comma
Color name	luluquinzo-aquadgu 4th, 1uuz^5g^44
FJS name	[math]\displaystyle{ \text{ddd4}^{7,7,7,7,7}_{5,5,5,5,11,11} }[/math]
Special properties	reduced
Tenney height (log2 nd)	34.4133
Weil height (log2 max(n, d))	34.4134
Wilson height (sopfr(nd))	85
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.19842 bits
Comma size	unnoticeable
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151263/151250, the odiheim comma, is an unnoticeable 11-limit comma. It is expressible as (2401/2400)/(3025/3024), and also represents the difference between 63/50 and a stack of two 55/49's, which is notable due to 55/49 being a very good approximation of one step of 6edo, and 63/50 being the same for 3edo; therefore this comma is tempered out in a number of 6th-octave temperaments.

Temperaments

It is tempered out by notable edos like 270edo, 342edo, 1578edo and 1848edo.

Etymology

This comma was presumably named by Gene Ward Smith in 2011 since it seems this wiki was the place where it made its first appearance. The name is a contraction of odin and heimdall, the two notable rank-3 temperaments where the comma is tempered out.