847/845

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Interval information
Ratio 847/845
Monzo [0 0 -1 1 2 -2
Size in cents 4.09275
Name(s) cuthbert comma
open this interval in xen-calc

847/845, the cuthbert comma, is a 13-limit (also 5.7.11.13 subgroup) comma measuring about 4.09 cents. It is the difference between 7/5 and a stack of two 13/11's. In terms of commas, it is the difference between:

Meanwhile, it can be factorized as 1001/1000 × 2200/2197.

Temperaments

Tempering out this comma in the 13-limit results in the rank-5 cuthbert temperament and enables the cuthbert triad.

See also