847/845
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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:
- 66/65 and 78/77
- 121/120 and 169/168
- 352/351 and 2080/2079
- 385/384 and 4225/4224
- 441/440 and 10648/10647
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.