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Cmloegcmluin (talk | contribs) Created page with "An '''ALS''', or '''arithmetic length sequence''', is a kind of arithmetic and monotonic tuning." |
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An '''ALS''', or '''arithmetic length sequence''', is a kind of [[Arithmetic tunings|arithmetic]] and [[Monotonic tunings|monotonic]] tuning. | An '''ALS''', or '''arithmetic length sequence''', is a kind of [[Arithmetic tunings|arithmetic]] and [[Monotonic tunings|monotonic]] tuning. | ||
shifted undertone series (± frequency) (equivalent to ALS) | |||
(n-)ALSp: (n pitches of an) arithmetic length sequence adding by p | |||
A US is a specific (rational) type of ALS. | |||
The same principles that were just described for frequency are also possible for length: by varying the undertone series step size to some rational number you can produce a utonal sequence (US), and varying it to an irrational number you can produce an arithmetic length sequence (ALS). In other words, by shifting the undertone series by a constant amount of string length, the step sizes remain equal in terms of length, but their relationship in pitch changes. | |||
Revision as of 01:42, 22 March 2021
An ALS, or arithmetic length sequence, is a kind of arithmetic and monotonic tuning.
shifted undertone series (± frequency) (equivalent to ALS)
(n-)ALSp: (n pitches of an) arithmetic length sequence adding by p
A US is a specific (rational) type of ALS.
The same principles that were just described for frequency are also possible for length: by varying the undertone series step size to some rational number you can produce a utonal sequence (US), and varying it to an irrational number you can produce an arithmetic length sequence (ALS). In other words, by shifting the undertone series by a constant amount of string length, the step sizes remain equal in terms of length, but their relationship in pitch changes.