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pitch class sets

Marilyn Perry on Allen Forte’s 4z29 and 4z15 "All Interval" Tetrachord Nomenclature

Marilyn Perry on Allen Forte’s 4z29 and 4z15 "All Interval" Tetrachord Nomenclature

During a conversation recently, I noted that it seems like nobody ever asks me about my usage of 4z29 and fourztwentynine as monikers. The quite intelligent person with whom I was conversing immediately asked me what 4z29 means.

Somehow, in the complexities of our verbal discourse, I never answered the question! I wonder if that quite polite person knew that I was quite conscious of not having answered the question but that I had tacitly decided to delay my answer for later. Although I didn't directly answer the question, I noted that the answer was extraordinarily obscure, profoundly nerdy, and probably completely boring for all but a rare few people.

Among my primary collegiate educational interests was - symphonic music theory - and specifically the related - combinatorial calculus - mathematics that precisely describes certain pitch relationships in western - equal pitch temperament - music. Analytic Combinatorics is the mathematics of certain types of discrete structures, such as the scope of relationships between the twelve pitches, tones, notes, that comprise western cultural equal temperament music.

In 1964, a music theorist named Allen Forte, who was a professor at Yale University, published a scholarly journal article entitled:

"A Theory of Set-Complexes for Music"

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