Meter comma

Interval information

Ratio	703125/702464
Monzo	[-11 2 7 -3⟩
Size in cents	1.62828
Name(s)	meter comma, meter
open this interval in xen-calc

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

Optimal GPV sequence: 12, 19, 31, 81, 90, 102d, 109, 121, 140, 152, 171, 665, 836, 1007, 2185, 3192c

Badness: 0.1498 × 10^-3

See also

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