US: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Cmloegcmluin (talk | contribs)
No edit summary
Cmloegcmluin (talk | contribs)
No edit summary
Line 1: Line 1:
An '''US''', or '''utonal sequence''', is a kind of [[Arithmetic tunings|arithmetic]] and [[Monotonic tunings|monotonic]] tuning.
A '''US''', or '''utonal sequence''', is a kind of [[Arithmetic tunings|arithmetic]] and [[Monotonic tunings|monotonic]] tuning.


A US is a specific (rational) type of ALS.
A US is a specific (rational) type of ALS.

Revision as of 01:43, 22 March 2021

A US, or utonal sequence, is a kind of arithmetic and monotonic tuning.

A US is a specific (rational) type of ALS.

(n-)USp: (n pitches of a) utonal sequence adding by p

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.