Systematic comma names explained: Difference between revisions
→5/7-kleisma, 35/11-kleisma, etc.: Elaborate on system |
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== 5/7-kleisma, 35/11-kleisma, etc. == | == 5/7-kleisma, 35/11-kleisma, etc. == | ||
These types of comma names come from an attempt to systematically name commas in around the year 2004. The commas were named according to the spreadsheet | These types of comma names come from an attempt to systematically name commas in around the year 2004. The commas were named according to the spreadsheet | ||
[[File: | [[File:CommaNamer.xls]]. | ||
The naming rules are a little difficult to work out, but "kleisma" definitely refers to the size of the interval - between 4.5 and 11.7 cents. The number in the name appears to have something to do with the prime factorization of the comma, but it is a bit difficult to reverse-engineer. | The naming rules are a little difficult to work out, but "kleisma" definitely refers to the size of the interval - between 4.5 and 11.7 cents. The number in the name appears to have something to do with the prime factorization of the comma, but it is a bit difficult to reverse-engineer. | ||
{{todo|inline=1|expand|comment= | The full range of size classifications (rounded to 1 decimal place) was: | ||
* 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 | |||
The term "chroma" implies 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 "plus-apotome" names are advised not to be used unless the interval is being considered first and foremost as a comma and not a scale degree. | |||
{{todo|inline=1|expand|comment=reverse engineer the system and explain how it works}} | |||
== 35-cycle, 21-cycle, etc. == | == 35-cycle, 21-cycle, etc. == | ||