Metallic MOS: Difference between revisions

Line 10:

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 phi 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.

MOS concepts are logarithmic, not acoustic. In other words, we are not dealing with frequency ratios here. Frequency ratios related to metallic means, such as “[[acoustic phi]]” (approximately 833.09¢), have interesting properties too — creating recursive combination tones, for example — but these musical applications of metallic means will not be discussed here.

@@ Line 10: / Line 10: @@
 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 phi 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.
 MOS concepts are logarithmic, not acoustic. In other words, we are not dealing with frequency ratios here. Frequency ratios related to metallic means, such as “[[acoustic phi]]” (approximately 833.09¢), have interesting properties too — creating recursive combination tones, for example — but these musical applications of metallic means will not be discussed here.