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JulioHerrlein

Combinatorial Voice-Leading of Hexachords

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Dear All,

 

HAPPY 2018 !!

 

With the new PCS organization in Opusmodus is possible to implement a concept of my book, called Combinatorial Voiceleading of Hexachords.

From a Hexachord Set, is possible to find 10 different ways to combine the notes in the for of voice-leading sets. Each hexachord is divided in (3 + 3) way.

 

image.png.77a95c74a95d8bf1d559d9b08c094eac.png

 

This expression:

 

(setf hexavl
      (mclist
       (chordize-list
        (integer-to-pitch
         (remove-duplicates
          (sort-asc
           (gen-divide 3 (flatten (permute (pcs '6-32)))))
           :test #'equal)))))

 

Will result in this combination of the 6-32 hexachord, similar to the idea in the book.

 

image.png.df5a719581f7a316c6e926d0e6ff9c38.png

 

In the book, the material is organized in 70 pages of melodic and harmonic exercises.

 

Here is a litte sample:

CH_HERRLEIN.pdf

 

The entire book:

https://www.melbay.com/Products/Default.aspx?bookid=30042BCDEB

 

Best !

Julio Herrlein

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