Metallic MOS: Difference between revisions
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Scales based on this mean — or “phi”, as it is often called, after the Greek letter used to represent it — are relatively well-known, and these “golden” scales have been described by [[wikipedia:Erv_Wilson|Erv Wilson]], [[Kraig Grady]], [http://www.elvenminstrel.com/music/tuning/horagrams/horagram_intro.htm David J. Finnamore], [https://ia800908.us.archive.org/31/items/mosedo.html/mosedo.html Billy Stiltner], [[wikipedia:Paul_Erlich|Paul Erlich]], [[Graham Breed]], [[Dave Keenan]], [[Margo Schulter]], [[ | Scales based on this mean — or “phi”, as it is often called, after the Greek letter used to represent it — are relatively well-known, and these “golden” scales have been described by [[wikipedia:Erv_Wilson|Erv Wilson]], [[Kraig Grady]], [http://www.elvenminstrel.com/music/tuning/horagrams/horagram_intro.htm David J. Finnamore], [https://ia800908.us.archive.org/31/items/mosedo.html/mosedo.html Billy Stiltner], [[wikipedia:Paul_Erlich|Paul Erlich]], [[Graham Breed]], [[Dave Keenan]], [[Margo Schulter]], [[Thorvald Kornerup]] and many others. | ||
But is only the first of an infinite sequence of such metallic means which can be used to generate scales offering interesting musical possibilities. And while some attention has been given to silver scales, what we seek to do here is centralize all met-MOS knowledge and generalize principles across all of the metallic means. | But is only the first of an infinite sequence of such metallic means which can be used to generate scales offering interesting musical possibilities. And while some attention has been given to silver scales, what we seek to do here is centralize all met-MOS knowledge and generalize principles across all of the metallic means. | ||
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* '''sequence, <span><math>L{:}s</math></span>:''' For a given scale sequence, the corresponding sequence of their ratios. | * '''sequence, <span><math>L{:}s</math></span>:''' For a given scale sequence, the corresponding sequence of their ratios. | ||
* '''sequence, scale:''' The ordered sequence of scales a generator generates, each one containing the previous, strictly adding new pitches to it. | * '''sequence, scale:''' The ordered sequence of scales a generator generates, each one containing the previous, strictly adding new pitches to it. | ||
[[Catagory:Todo]] <!-- to big to fail? see discussion --> | |||