Meter

Interval information

Ratio	703125/702464
Factorization	2-11 × 32 × 57 × 7-3
Monzo	[-11 2 7 -3⟩
Size in cents	1.628279¢
Names	meter comma, meter
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
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The meter comma, or more simply, the meter, is a 7-limit unnoticeable comma with a ratio of 703125/702464 and a value of approximately 1.6 cents. It is the difference between a stack of three septimal kleismas and a syntonic comma.

Temperaments

Tempering it out splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the septimal semicomma.

Metric (31 & 171 & 323)

Subgroup: 2.3.5.7

Comma list: 703125/702464

Mapping: [⟨1 0 2 1], ⟨0 1 1 3], ⟨0 0 -3 -7]]

POTE generators: ~3/2 = 701.8766, ~75/56 = 505.2613

Badness: 0.1498 × 10^-3

See also

• Metric microtemperaments, where it is tempered out
• Unnoticeable comma