Systematic comma names explained: Difference between revisions
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This page does not cover ''common names'' for commas, it only covers names that were generated using some ''systematic'' process. | This page does not cover ''common names'' for commas, it only covers names that were generated using some ''systematic'' process. | ||
== Trienstonic, hendecatonic, etc. == | == Pseudo-systematic names == | ||
=== Trienstonic, hendecatonic, etc. === | |||
Often, these are commas that generate a [[fractional-octave temperament]], but this type of name is not actually systematic. Usually these types of commas are named after the temperament, and not the other way around. To learn about some of these temperament names, visit [[Temperament naming]]. | Often, these are commas that generate a [[fractional-octave temperament]], but this type of name is not actually systematic. Usually these types of commas are named after the temperament, and not the other way around. To learn about some of these temperament names, visit [[Temperament naming]]. | ||
== Trientone, hexadecatone, etc. == | === Trientone, hexadecatone, etc. === | ||
These are commas that are a fraction of a [[whole tone]] (~200 cents or ~[[9/8]]). For example, a trientone is about one third of a whole tone. A hexadecatone is about one sixteenth of a whole tone. | These are commas that are a fraction of a [[whole tone]] (~200 cents or ~[[9/8]]). For example, a trientone is about one third of a whole tone. A hexadecatone is about one sixteenth of a whole tone. | ||
This method of naming is only semi-systematic, as there is still a level of subjectivity and vagueness involved, but it's still worth mentioning because it is used often. | This method of naming is only semi-systematic, as there is still a level of subjectivity and vagueness involved, but it's still worth mentioning because it is used often. | ||
== 31-comma, 21-23-comma, etc. == | == Closing error == | ||
=== 31-comma, 21-23-comma, etc. === | |||
These types of comma names show the [[closing error]] of a specific [[interval]] in a specific [[EDO]]. | These types of comma names show the [[closing error]] of a specific [[interval]] in a specific [[EDO]]. | ||
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{{todo|inline=1|review|comment=double check this is correct}} | {{todo|inline=1|review|comment=double check this is correct}} | ||
== 5-comma, 5/7-kleisma, 35/11-kleisma, etc. == | == Sagittal == | ||
=== 5-comma, 5/7-kleisma, 35/11-kleisma, etc. === | |||
These types of comma names are derived from [[sagittal notation]]. | These types of comma names are derived from [[sagittal notation]]. | ||
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{{todo|inline=1|expand|comment=explain how, exactly, sagittal notation is used to name them (the sagittal notation page doesn't explain it, nor do any of its internal or external links)}} | {{todo|inline=1|expand|comment=explain how, exactly, sagittal notation is used to name them (the sagittal notation page doesn't explain it, nor do any of its internal or external links)}} | ||
== 19th partial chroma, 29th partial chroma, etc. == | == Johnston == | ||
=== 19th partial chroma, 29th partial chroma, etc. === | |||
These are commas named according to [[Ben Johnston's notation]]. | These are commas named according to [[Ben Johnston's notation]]. | ||