Muddle: Difference between revisions

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''~~Muddling~~'' ~~refers to~~ a ~~process of~~ mapping one [[periodic scale]] onto another one~~; the scale thus produced is~~ a ''~~'muddle'~~''~~. By periodic scale is meant a scale that repeats "at the something" (octave, tritave, something else)~~. There are two necessary components: a ''parent scale'' and a ''target shape'', or simply "parent" and "target". The parent scale can be any periodic scale at all; the target ~~scale~~ is not exactly a scale – it is the outline or ''shape'' of a scale – and it must be defined in terms of units or degrees which comprise the steps. If the period is an octave, this means the target scale will be a subset of an [[edo]].

A '''muddle''' is a scale that results from mapping one [[periodic scale]] onto another one by a process called ''muddling''. There are two necessary components: a ''parent scale'' and a ''target shape'', or simply "parent" and "target". The parent scale can be any periodic scale at all; the target is not exactly a scale – it is the outline or ''shape'' of a scale – and it must be defined in terms of units or degrees which comprise the steps. If the period is an octave, this means the target scale will be a subset of an [[edo]].

The simplest sort of muddle is a mos muddle, which is a sort of second-order [[mos scale]] and is useful for generating usable subsets of larger mos scales and for navigating [[regular temperament]]s. This article will mostly deal with mos muddles, but ~~it should be remembered that~~ this process can be generalized to arbitrary sequences of steps.

The simplest sort of muddle is a mos muddle, which is a sort of second-order [[mos scale]] and is useful for generating usable subsets of larger mos scales and for navigating [[regular temperament]]s. This article will mostly deal with mos muddles, but this process can be generalized to arbitrary sequences of steps.

== Construction ==

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-''Muddling'' refers to a process of mapping one [[periodic scale]] onto another one; the scale thus produced is a '''muddle'''. By periodic scale is meant a scale that repeats "at the something" (octave, tritave, something else). There are two necessary components: a ''parent scale'' and a ''target shape'', or simply "parent" and "target". The parent scale can be any periodic scale at all; the target scale is not exactly a scale – it is the outline or ''shape'' of a scale – and it must be defined in terms of units or degrees which comprise the steps. If the period is an octave, this means the target scale will be a subset of an [[edo]].
+A '''muddle''' is a scale that results from mapping one [[periodic scale]] onto another one by a process called ''muddling''. There are two necessary components: a ''parent scale'' and a ''target shape'', or simply "parent" and "target". The parent scale can be any periodic scale at all; the target is not exactly a scale – it is the outline or ''shape'' of a scale – and it must be defined in terms of units or degrees which comprise the steps. If the period is an octave, this means the target scale will be a subset of an [[edo]].
-The simplest sort of muddle is a mos muddle, which is a sort of second-order [[mos scale]] and is useful for generating usable subsets of larger mos scales and for navigating [[regular temperament]]s. This article will mostly deal with mos muddles, but it should be remembered that this process can be generalized to arbitrary sequences of steps.
+The simplest sort of muddle is a mos muddle, which is a sort of second-order [[mos scale]] and is useful for generating usable subsets of larger mos scales and for navigating [[regular temperament]]s. This article will mostly deal with mos muddles, but this process can be generalized to arbitrary sequences of steps.
 == Construction ==