Muddle: Difference between revisions

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== Comments ==

With the exception of trivial muddles, mos muddles always have more than two sizes of step -- either three or four sizes. Whereas MOS scales have two varieties of interval for each interval class (eg. a "large step" and a "small step"), ~~muddles~~ have ~~potentially~~ two varieties ~~within~~ each ~~variety~~ (eg. ~~two sizes of~~ "~~small step~~" and ~~two sizes of~~ "large step"). Parent scales that are close to equal (eg. [[Maximal_evenness|maximally even]] scales) will produce muddles that are closer ~~in sound~~ to the target scale. Larger parent scales contain more potential muddles than smaller ones, just as larger [[EDO]]s contain more potential MOS scales than smaller ~~ones~~.

With the exception of trivial muddles, mos muddles always have more than two sizes of step -- either three or four sizes. Whereas MOS scales have two varieties of interval for each interval class (eg. a large step "L" and a small step "s"), a secondary scale can have two varieties for each size step of the target scale (eg. the targets "s" and "L" steps become "s", "S", "l" and "L"). It is very common for a large small step (S) to be smaller than a small large step (l) but this isn't necessarily the case if the parent scale is less even than the target scale, if the parent MOS scale is generated from an equal temperament it is even possible for S and l to be the same size.

Parent scales that are close to equal (eg. [[Maximal_evenness|maximally even]] scales) will produce muddles that are melodically closer to the target scale. Larger parent scales contain more potential muddles than smaller ones, just as larger [[EDO]]s contain more potential MOS scales than smaller one.

As every note in the muddle is also in the parent scale it will have share any temperament properties and therefore the harmonic relationships of the parent scale, however depending on the choice of the target specific low generator intervals can be absent from the scale.

== History ==

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 == Comments ==
-With the exception of trivial muddles, mos muddles always have more than two sizes of step -- either three or four sizes. Whereas MOS scales have two varieties of interval for each interval class (eg. a "large step" and a "small step"), muddles have potentially two varieties within each variety (eg. two sizes of "small step" and two sizes of "large step"). Parent scales that are close to equal (eg. [[Maximal_evenness|maximally even]] scales) will produce muddles that are closer in sound to the target scale. Larger parent scales contain more potential muddles than smaller ones, just as larger [[EDO]]s contain more potential MOS scales than smaller ones.
+With the exception of trivial muddles, mos muddles always have more than two sizes of step -- either three or four sizes. Whereas MOS scales have two varieties of interval for each interval class (eg. a large step "L" and a small step "s"), a secondary scale can have two varieties for each size step of the target scale  (eg. the targets "s" and "L" steps become "s", "S", "l" and "L"). It is very common for a large small step (S) to be smaller than a small large step (l) but this isn't necessarily the case if the parent scale is less even than the target scale, if the parent MOS scale is generated from an equal temperament it is even possible for  S and l to be the same size.
+Parent scales that are close to equal (eg. [[Maximal_evenness|maximally even]] scales) will produce muddles that are melodically closer to the target scale. Larger parent scales contain more potential muddles than smaller ones, just as larger [[EDO]]s contain more potential MOS scales than smaller one.
+As every note in the muddle is also in the parent scale it will have share any temperament properties and therefore the harmonic relationships of the parent scale, however depending on the choice of the target specific low generator intervals can be absent from the scale.
 == History ==