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33.9: Practice Exercises

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    33.9 Practice Exercises

    Day One

    1.

    Put each set into normal form and prime form.

    1. PRAC-EXER-set-theory-NF-PF-2.svg
    2. PRAC-EXER-set-theory-NF-PF-3.svg
    3. PRAC-EXER-set-theory-NF-PF-4.svg
    4. PRAC-EXER-set-theory-NF-PF-5.svg
    5. PRAC-EXER-set-theory-NF-PF-6.svg
    6. PRAC-EXER-set-theory-NF-PF-7.svg
    7. PRAC-EXER-set-theory-NF-PF-8.svg

    Answer.

    Day Two

    2.

    For each of the six sets in the example below, determine the normal form, prime form, Forte number, and interval vector.

    PRAC-EXER-set-theory-day-2-A.svg

    Answer.

    Day Three

    3.

    Transposition (Tn) of Sets. Transpose the following sets as specified.

    1. Transpose [3, 6, 7] at T2: [ , , ]
    2. Transpose [2, 4, 8, 9] at T7: [ , , , ]
    3. Transpose [1, 2, 4, 7, 8] at T9: [ , , , , ]

    Answer.

    4.

    Inversion (TnI) of Sets. Invert the following sets. Write your answers in normal form.

    1. Invert [7, 10, 11] at T0I: [ , , ]
    2. Invert [0, 2, 4] at T4I: [ , , ]
    3. Invert [4, 6, 10, 11] at T9I: [ , , , ]

    Answer.

    5.

    Specify the interval of inversion from the first set to the second set.

    1. [2, 4, 7] inverts to [3, 6, 8] at what TnI?
    2. [1, 2, 4, 7] inverts to [4, 7, 9, 10] at what TnI?
    3. [6, 7, 10, 1, 2] inverts to [3, 4, 7, 10, 11] at what TnI?

    Answer.

    Click here to download the first homework assignment for this chapter. Click here to download the second homework assignment for this chapter. Click here to download the third homework assignment for this chapter. PDF versions of the textbook, homework exercises, and practice exercises can be found at musictheory.pugetsound.edu

    This page titled 33.9: Practice Exercises is shared under a GNU Free Documentation License 1.3 license and was authored, remixed, and/or curated by Robert Hutchinson via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.

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