736/729: Difference between revisions
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Dave Keenan (talk | contribs) →Sagittal notation: Added downward version |
Dave Keenan (talk | contribs) →Sagittal notation: Changed "simplest ratio" to "simplest interval". Changed colons to slashes and dash. Gave the truly-simplest (2,3-free) interval in addition to the octave-reduced interval. Replaced hair-space with nbhsp template call. |
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== Sagittal notation == | == Sagittal notation == | ||
In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal | |~ }} and is called the '''23 comma''', or '''23C''' for short, because the simplest | In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal | |~ }} and is called the '''23 comma''', or '''23C''' for short, because the simplest interval it notates is 23/1 (equiv. 23/16), as for example in F-B{{nbhsp}}{{sagittal | |~ }}. The downward version is called '''1/23C''' or '''23C down''' and is represented by {{sagittal| !~ }}. | ||
Revision as of 07:10, 10 October 2024
| Interval information |
736/729, the 23-limit Tenney/Cage comma, is a 2.3.23 subgroup comma. It is the amount by which 23/16 (the 23rd harmonic) exceeds the Pythagorean augemented fourth (729/512). It is significant in Helmholtz-Ellis notation as the formal comma to translate a Pythagorean interval to a nearby 23-limit (vicesimotertial) interval.
Sagittal notation
In the Sagittal system, this comma (possibly tempered) is represented by the sagittal and is called the 23 comma, or 23C for short, because the simplest interval it notates is 23/1 (equiv. 23/16), as for example in F-B . The downward version is called 1/23C or 23C down and is represented by .