Arithmetic tuning: Difference between revisions
Clarify the term; heading levels and other styles |
Cmloegcmluin (talk | contribs) the typical reader will not share this special confusion with arithmetic mean, so I have moved that to a see also at the end, and instead clarified what arithmetic means in this context |
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An '''arithmetic tuning''' is one which has equal step sizes ''of any kind of quantity'', whether that be pitch, frequency, or length (of the resonating entity producing the sound). This | An '''arithmetic tuning''' is one which has equal step sizes ''of any kind of quantity'', whether that be pitch, frequency, or length (of the resonating entity producing the sound). | ||
This sense of the word arithmetic comes from the mathematical concept of an [[Wikipedia:Arithmetic sequence|arithmetic sequence]], which means a sequence with a constant difference between successive terms. | |||
All arithmetic tunings are [[harmonotonic tunings]]. | All arithmetic tunings are [[harmonotonic tunings]]. | ||
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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]] | ||