847/845: Difference between revisions
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Created page with "{{Infobox Interval | Icon = | Ratio = 847/845 | Monzo = 0 0 -1 1 2 -2 | Cents = 4.09275 | Name = cuthbert comma | Color name = | Sound = }} '''847/845''', the '''cuthbert co..." |
m Moving from Category:Small comma to Category:Small commas using Cat-a-lot |
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[[Category:13-limit]] | [[Category:13-limit]] | ||
[[Category:Small | [[Category:Small commas]] | ||
[[Category:Ratio]] | [[Category:Ratio]] | ||
[[Category:Cuthbert]] | [[Category:Cuthbert]] |
Revision as of 21:59, 20 March 2022
Interval information |
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.