Meter

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Revision as of 09:53, 9 October 2020 by FloraC (talk | contribs) (Rewrite by analogy with hemimean. Note that the page for this temperament has not existed but there might be in the future)
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Interval information
Ratio 703125/702464
Factorization 2-11 × 32 × 57 × 7-3
Monzo [-11 2 7 -3
Size in cents 1.628279¢
Name meter comma
FJS name [math]\displaystyle{ \text{5d}{-4}^{5,5,5,5,5,5,5}_{7,7,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 38.8455
Weil height (log2 max(n, d)) 38.8468
Wilson height (sopfr(nd)) 84
Open this interval in xen-calc

The meter comma is a 7-limit unnoticeable comma with a ratio of 703125/702464 and a value of approximately 1.62828 cents. It is the difference between a stack of three septimal kleismas and a syntonic comma. Tempering it out splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the septimal semicomma.

See also