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    Permutations Of The 12 Chromatic Tones

    I have a question regarding the permutations of the 12 chromatic notes:  1x2x3x4x5x6x7x8x9x10x11x12 = 479,001,600.  Can anyone give me some advice on established patterns in usage or thoughts on looking for patterns of variation from the vast number of possibilities for arrangements of all 12 notes?.  I'm sure the Serialists have explored this and have reached some conclusions.  I am using the information for non serial compositions, but need some mathematical information.  Thank you.  

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