Systematic comma names explained: Difference between revisions
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[[ | This page aims to document some of the methods of systematically naming [[comma]]s, to help the reader make a bit more sense of some of the comma names out there. | ||
This page | This page does not cover ''common names'' for commas, it only covers names that were generated using some systematic process. | ||
== Trienstonic, hendecatonic, etc. == | == Trienstonic, hendecatonic, etc. == | ||
Often, these are commas that generate a [[fractional-octave temperament]], but these type of names are 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. | |||
== 31-comma, 21-23-comma, etc. == | == 31-comma, 21-23-comma, etc. == | ||
These types of comma names | These types of comma names show the [[closing error]] of a specific [[interval]] in a specific [[EDO]]. | ||
For example, the '''31-5-comma''' is the difference between a stack of 31 '''5/4'''s (5/4 is the octave reduces harmonic #5), and 10 octaves, which is tempered out in '''31edo'''. | For example, the '''31-5-comma''' is the difference between a stack of 31 '''5/4'''s (5/4 is the octave reduces harmonic #5), and 10 octaves, which is tempered out in '''31edo'''. | ||
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== 5/7-kleisma, 35/11-kleisma, etc. == | == 5/7-kleisma, 35/11-kleisma, etc. == | ||
These types of comma names | These types of comma names are derived from [[sagittal notation]]. Many of these were named using the spreadsheet | ||
[[File:CommaNamer.xls]]. | [[File:CommaNamer.xls]], which was made in 2004. | ||
The naming rules | The naming rules for these kinds of commas can be found in the naming subsection of the sagittal notation page. | ||
This type of name can occasionally get mixed up with the above type of name, for example "5-comma" is actually a sagittal name, even though it looks like the same type of thing as "31-comma". These clashes are unfortunate, but not fatal, as a look at the comma's page should reveal which system makes the most sense for interpeting its name. | |||
== 19th partial chroma, 29th partial chroma, etc. == | |||
These are commas named according to [[Ben Johnston's notation]]. That page should include information on the naming system. | |||
== 35-cycle, 21-cycle, etc. == | == 35-cycle, 21-cycle, etc. == | ||
{{todo|inline=1|expand|comment=please explain this type of comma name}} | {{todo|inline=1|expand|comment=please explain this type of comma name}} | ||