Meter comma
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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