ALS: Difference between revisions
Cmloegcmluin (talk | contribs) Created page with "An '''ALS''', or '''arithmetic length sequence''', is a kind of arithmetic and monotonic tuning." |
Cmloegcmluin (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
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. | |||