Talk:Tonality diamond

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Wikipedia:WikiProject Tunings, Temperaments, and Scales This article is part of the WikiProject Tunings, Temperaments, and Scales to improve Wikipedia's articles related to musical tunings, temperaments, and scales.

...the diamond marimba, which is laid out as a tonality diamond and which has proven rather popular.

Really? Where can I get one for cheap? =P ——Keenan Pepper 22:07, 5 December 2005 (UTC)

from para. 1 "The tonality diamond is often regarded as comprising the set of consonances of the n-limit. The term is due to Harry Partch."

But the Harry Partch page states "Partch's tuning had its origin in an extended version of Max Meyer's tonality diamond..."

I don't have my copy of Genesis of A Music handy, and don't remember who Max Meyer is/was.

Genesis has this to say about Max Meyer:
Max F. Meyer (b. 1873), psychologist, takes the trouble, in The Musician's Arithmetic, to state the case for ratios as a nomenclature for musical materials, these being the only terms "safe from ambiguity." Meyer uses what Monophony would call identities through 9 (including 7), disavows both overtones and undertones as constituting the source of tonality, and, somewhat disappointingly, applies his ideas to a "quartertone" harmonium (see Chapter 17).
See also Meyer's Diamond and Partch's Diamond. —Keenan Pepper 21:44, 16 May 2006 (UTC)
Thanks. According to Cris Forster's page, Meyer's diamond looks just like Partch's, only rotated and (not to quote Spinal Tap, but) Partch's "goes to 11." I think this line should be credited to Meyer, not Partch. Namrevlis 22:41, 16 May 2006 (UTC)
Meyer is the authentic creator of the tonality diamond for one reason only: he studied the works of Rameau. If you don't understand the problems faced by Rameau, you won't understand the solutions offered by Meyer. -Cris Forster

[edit] Illustration of 7-limit Tonality Diamond

The tonality diamond illustrated does not match the description, in that the 3 and 5 columns (and their associated inverses) replace each other. It does match Harry Partch's Diamond Marimba, but I think it would be better if the tonality diamond were in canonical form. Does anyone have a problem with me changing it? --Eraticus 06:02, 10 June 2007 (UTC)