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¢
Names	odiheim comma, odiheim
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
Comma size	unnoticeable
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151263/151250, the odiheim comma or odiheim, is an 11-limit unnoticeable comma. It is expressible as (2401/2400)/(3025/3024), and also represents the difference between 63/50 and a stack of two 55/49s, 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.

History

This comma has been listed as “odiheim” on the “unnoticeable comma” page, ever since the day that page was created in October 2016.

That page never specified who coined the name, nor did it say why the name was given or if/how it relates to the comma’s properties. All of that appears to be unknown at this stage and may remain a mystery.

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