WRITTEN EXERCISES

1. For the following unordered sets, calculate the normal and prime forms and reinterpret the pitch-class set in the context of a complete or incomplete jazz formation.

CHAPTER 25

Set Classes in Jazz

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SET CLASSES IN JAZZ 25–3

2. Calculate the normal form for the following tetrachords.

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3. Calculate the prime form for the following tetrachords.

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5. Calculate the normal form for the following pentachords.

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4. Calculate the prime form for the following pentachords.

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6 Calculate the normal form for the following hexachords.

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7. Calculate the prime form for the following hexachords.

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8. For each of the following sets, calculate the number of common tones under T3, T5, and T6.

a. [3,1,2,5,9,7]

b. [1,2,3,5,8,9]

c. [t,8,1,5,3]

d. [1,3,5,6,9]

9. Create addition tables for the following sets. How many commons are there at I3, I6, and I8.

a. (013679)

b. (012678)

c. (01468)

d. (01369)

e. (0257)

f. (0358)

10. Write a composition that uses the “all-interval hexachord” (012478) as its pitch and harmonicprovider. (Answer not provided).

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EAR TRAINING SECTION AUDIO TRACKS

1. Track 97 contains EIGHTEEN melodic tetrachords. Identify the prime form and interval class vectorof each tetrachord. For each set, the starting pitch is given.

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2. Track 98 contains TWENTY FOUR melodic pentachords. Identify the prime form type and intervalclass vector of each tetrachord. For each set, the starting pitch is given.

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3. Track 99 contains EIGHTEEN melodic hexachords. Identify the prime form type and interval classvector of each tetrachord. For each set, the starting pitch is given.

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