1573/1568

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Interval information
Ratio 1573/1568
Monzo [-5 0 0 -2 2 1
Size in cents 5.51173
Name(s) lambeth comma
open this interval in xen-calc

1573/1568, the lambeth comma, is a 13-limit (or 2.7.11.13 subgroup) small comma measuring about 5.5 cents. It is the amount by which a stack of two 14/11's falls short of 13/8.

The name comes from the place where Flora Canou dwelled when she named the comma in January 2022.

Temperaments

Tempering it out leads to a form of the lambeth temperament, and enables lambeth chords, the essentially tempered chords in the 13-odd-limit.

Subgroup: 2.3.5.7.11.13

Mapping:
[1 0 0 0 0 5],
0 1 0 0 0 0],
0 0 1 0 0 0],
0 0 0 1 0 2],
0 0 0 0 1 -2]]

Mapping generators: ~2, ~3, ~5, ~7, ~11

Optimal GPV sequence17c, 22f, 26, 29, 31, 43, 46, 60e, 63, 68, 72, 103, 111, 140, 183, 212, 243e, 315ef, 323, 395f, 426e, 638eef

See also