Arithmetic tuning: Difference between revisions

Cmloegcmluin (talk | contribs)
address Flora's recent concerns about rationality vs. irrationality in this system
Cmloegcmluin (talk | contribs)
See also: remove link to AID because Shaahin's pages are below the level of pedagogical clarity and conceptual coherency that this page should link to; and the link to the arithmetic mean is outdated because I have since realized the inherent link between means and progressions
 
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Equal frequency steps:
Equal frequency steps:
* [[OD|OD, otonal division]]
* [[OD|OD, otonal division]] (such as an [[ODO]])
* [[EFD|EFD, equal frequency division]]
* [[EFD|EFD, equal frequency division]]
* [[OS|OS, otonal sequence]]
* [[OS|OS, otonal sequence]]
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Equal length steps:
Equal length steps:
* [[UD|UD, utonal division]]
* [[UD|UD, utonal division]] (such as a [[UDO]])
* [[ELD|ELD, equal length division]]
* [[ELD|ELD, equal length division]]
* [[US|US, utonal sequence]]
* [[US|US, utonal sequence]]
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It is convenient that the three basic types of divisions — OD, ED, and UD — all begin with vowels. As do the three rational types of sequences — OS, AS, and US.
It is convenient that the three basic types of divisions — OD, ED, and UD — all begin with vowels. As do the three rational types of sequences — OS, AS, and US.
== See also ==
* [[Arithmetic mean]]: uses the word "arithmetic" in a somewhat different sense than it is used in "arithmetic sequence", though in both cases it refers to addition


[[Category:Otonality and utonality]]
[[Category:Otonality and utonality]]