847/845: Difference between revisions
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Tristanbay (talk | contribs) Corrected a bit of math (847/845 was the product of one of the pairs of superparticulars listed, not the difference) Tags: Mobile edit Mobile web edit |
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'''847/845''', the '''cuthbert comma''', is a [[13-limit]] (also 5.7.11.13 [[subgroup]]) [[comma]] measuring about 4.09{{cent}}. It is the difference between [[7/5]] and a stack of two [[13/11]]'s. In terms of commas, it is the difference between the following superparticular pairs: | '''847/845''', the '''cuthbert comma''', is a [[13-limit]] (also 5.7.11.13 [[subgroup]]) [[comma]] measuring about 4.09{{cent}}. It is the difference between [[7/5]] and a stack of two [[13/11]]'s. It is also the difference between [[125/121]] and [[175/169]]. | ||
In terms of full 13-limit commas, it is the difference between the following superparticular pairs: | |||
* [[66/65]] and [[78/77]] | * [[66/65]] and [[78/77]] | ||
* [[121/120]] and [[169/168]] | * [[121/120]] and [[169/168]] | ||
Revision as of 01:04, 13 March 2026
| Interval information |
847/845, the cuthbert comma, is a 13-limit (also 5.7.11.13 subgroup) comma measuring about 4.09 ¢. It is the difference between 7/5 and a stack of two 13/11's. It is also the difference between 125/121 and 175/169.
In terms of full 13-limit commas, it is the difference between the following superparticular pairs:
Meanwhile, it can be factorized as 1001/1000 × 2200/2197 or 441/440 × 10648/10647.
Temperaments
Tempering out this comma in the 13-limit results in the rank-5 cuthbert temperament and enables the cuthbert chords.