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Scale theory resources

🔗Gene Ward Smith <genewardsmith@juno.com> <genewardsmith@juno.com>

12/30/2002 10:04:35 AM

Does anyone know of a good source for these, especially on-line? I was browsing around and found that Clampitt has been using Ramsey theory, which sounds as if people are wading out past the shallow end of the pond, and I'd like to catch up.

🔗Carl Lumma <clumma@yahoo.com> <clumma@yahoo.com>

1/6/2003 12:04:30 AM

>By the way, Carl, did you see my question about scale theory
resources?

I had, but I don't really know any good sources for this type
of stuff. Might be a good question to ask on specmus.

>Does anyone know of a good source for these, especially
>on-line? I was browsing around and found that Clampitt
>has been using Ramsey theory, which sounds as if people
>are wading out past the shallow end of the pond, and
>I'd like to catch up.

If you can get a hold of any of these...

Rothenberg, David. "A Mathematical Model for Perception Applied
to the Perception of Pitch", Lecture Notes in Computer Science:
Formal Aspects of the Cognitive Process, G. Goos and
J. Harmanis (eds.), chapter 22, 1975, pp. 127-141.

Rothenberg, David. "A Model for Pattern Perception with Musical
Applications. Part I: Pitch Structures as Order-Preserving Maps",
Mathematical Systems Theory vol. 11, 1978, pp. 199-234.

Rothenberg, David. "A Model for Pattern Perception with Musical
Applications Part II: The Information Content of Pitch structures",
Mathematical Systems Theory vol. 11, 1978, pp. 353-372.

Rothenberg, David. "A Model for Pattern Perception with Musical
Applications Part III: The Graph Embedding of Pitch Structures",
Mathematical Systems Theory vol. 12, 1978, pp. 73-101.

(from Manuel's Tuning & Temperament Bib.)

-Carl