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}} | ||
Revision as of 12:12, 24 October 2024
This page aims to document some of the methods of systematically naming commas, to help the reader make a bit more sense of some of the comma names out there.
This page does not cover common names for commas, it only covers names that were generated using some systematic process.
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.
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.
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 5/4s (5/4 is the octave reduces harmonic #5), and 10 octaves, which is tempered out in 31edo.
If the harmonic in question is the reduced third harmonic (3/2), then it is left out of the comma name. For example 31-comma is the difference between a stack of 3/2s and a stack of octaves in 31edo.
11-3/5 comma, 45-7/5 comma, etc.
These are the same type of name as above, but they involve stacks of intervals that are not octave reduced harmonics. For example 7/4 is an octave reduced harmonic, so a comma tempering a stack of those would be an "n-7 comma", but 7/5 is not a reduced harmonic, so a comma tempering a stack of those would be an "n-7/5 comma".
An interval with a bigger denominator than numerator, like 3/5, indicates a negative interval. 3/5 for example is about -884 cents. A comma can still temper a stack of these. Just imagine it like a stack of 5/3s but going down instead of up. (In an EDO, intervals that go down still wrap back around every octave, so this is possible.)
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Todo: review
double check this is correct |
5/7-kleisma, 35/11-kleisma, etc.
These types of comma names are derived from sagittal notation. Many of these were named using the spreadsheet File:CommaNamer.xls, which was made in 2004.
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.
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Todo: expand
please explain this type of comma name |
Prima, secunda, etc.
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Todo: expand
please explain this type of comma name |
34-jubilismic, 23 semitone, 19-minor mediant, etc
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Todo: expand
please explain this type of comma name; are these all the same type of name, or multiple different categories? |
87-fold, as in 87-fold starling comma
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Todo: expand
please explain this type of comma name |