Exercise 11-1. Invariance under Tn and TnI.

 

The number of pcs held invariant when a set is transposed by n semintones (Tn) is equal to the number of times n's interval class appears in the set's ic vector--except for ic 6, when the number of invariant pcs is 2n.

  1. Using the ic vectors in the table of pc set classes, tell how many pcs would remain invariant in the following sets if they were transposed by the stated amounts.
    Click on the blank lines to see the correct answers; hitting the Reload button will remove the answers.
        T3 T6 T8
    1. [4,7,11]
    2. [3,5,9,11]
    3. The E-major scale

(The "TnI invariance" example is next)

Page last modified 10 July 2001 / GRT

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