Systematic comma names explained: Difference between revisions

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== 5/7-kleisma, 35/11-kleisma, etc. ==
== 5-comma, 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  
These types of comma names are derived from [[sagittal notation]].
 
These sagittal names can occasionally get mixed up with the closing-error type of name described earlier. For example "5-comma" is actually a sagittal name, even though it looks like the same type of thing as "31-comma" which is a closing-error type name. These clashes are unfortunate, but not fatal, as a look at the comma's page should reveal which system makes the most sense for interpreting its name.
 
Many comma pages with sagittal names were named using the spreadsheet  
[[File:CommaNamer.xls]], which was made in 2004.
[[File:CommaNamer.xls]], which was made in 2004.


These sagittal names can occasionally get mixed up with the closing-error type of name described earlier. For example "5-comma" is actually a sagittal name, even though it looks like the same type of thing as "31-comma" which is a closing-error type name. These clashes are unfortunate, but not fatal, as a look at the comma's page should reveal which system makes the most sense for interpreting its name.
Rounded to 1 decimal place, this was how the spreadsheet named interval size ranges:
* Less than 1.8 cents = schismina or atom
* 1.8 to 4.5 = schisma (''or skisma, skhisma'')
* 4.5 to 11.7 = kleisma (''or semicomma'')
* 11.7 to 35.2 = comma (''or dischisma, diaskhisma, chroma'')
* 35.2 to 45.1 = minor-diesis (''or small-diesis, 1/5-tone, chroma'')
* 45.1 to 56.8 = diesis (''or medium-diesis, 1/4-tone, chroma, enharmonic-diesis, enharmonic'')
* 56.8 to 68.6 = major-diesis (''or large-diesis, 1/3-tone'')
* 68.6 to 78.5 = chromatic-semitone (''or small-semitone'')
* 78.5 to 102.0 = limma (''or medium-semitone'')
* 102.0 to 111.9 = diatonic-semitone (''or large-semitone'')
* 111.9 to 115.5 = apotome
* 115.5 to 118.2 = schisma-plus-apotome
* 118.2 to 125.4 = kleisma-plus-apotome
* 125.4 to 148.9 = comma-plus-apotome
* 148.9 to 158.8 = minor-diesis-plus-apotome (''or neutral second'')
* 158.8 to 170.5 = diesis-plus-apotome
* 170.5 to 182.3 = major-diesis-plus-apotome
* 182.3 to 192.2 = chromatic-semitone-plus-apotome
* 192.2 to 215.6 = limma-plus-apotome
* 215.6 to 225.6 = diatonic-semitone-plus-apotome
* 225.6 to 229.2 = double-apotome
* Over 229.2 = outside the scope of this system
 
In this context, the term "chroma" implied an absolute 5-exponent of 1 within this system. (But in wider xenharmonic usage, [[chroma]] is pretty vaguely defined and that does not necessarily apply).
 
The spreadsheet advised not to use the "plus-apotome" names unless the interval is being considered first and foremost as a comma and not a scale degree.


{{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)}}