## Exercises33.9Practice Exercises

Day One

###### 1.

Put each set into normal form and prime form.

1. Normal form is [0, 2, 7]. Prime form is (027).

2. Normal form is [1, 3, 6, 8]. Prime form is (0257).

3. Normal form is [6, 10, 11, 1]. Prime form is (0137).

4. Normal form is [7, 8, 0, 3]. Prime form is (0158).

5. Normal form is [11, 0, 1, 4, 6]. Prime form is (01257).

6. Normal form is [6, 7, 10, 11, 2]. Prime form is (01457).

7. Normal form is [9, 10, 0, 1, 4, 6]. Prime form is (013479).

Day Two

###### 2.

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

Day Three

###### 3.

Transposition (T$\text{}_{n}$) of Sets. Transpose the following sets as specified.

1. Transpose [3, 6, 7] at T$\text{}_{2}$: [ , , ]

2. Transpose [2, 4, 8, 9] at T$\text{}_{7}$: [ , , , ]

3. Transpose [1, 2, 4, 7, 8] at T$\text{}_{9}$: [ , , , , ]

1. [5, 8, 9]

2. [9, 11, 3, 4]

3. [10, 11, 1, 4, 7]

###### 4.

Inversion (T$\text{}_{n}$I) of Sets. Invert the following sets. Write your answers in normal form.

1. Invert [7, 10, 11] at T$\text{}_{0}$I: [ , , ]

2. Invert [0, 2, 4] at T$\text{}_{4}$I: [ , , ]

3. Invert [4, 6, 10, 11] at T$\text{}_{9}$I: [ , , , ]

1. [1, 2, 5]

2. [0, 2, 4]

3. [10, 11, 3, 5]

###### 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 T$\text{}_{n}$I?

2. [1, 2, 4, 7] inverts to [4, 7, 9, 10] at what T$\text{}_{n}$I?

3. [6, 7, 10, 1, 2] inverts to [3, 4, 7, 10, 11] at what T$\text{}_{n}$I?

1. T$\text{}_{10}$I

2. T$\text{}_{11}$I

3. T$\text{}_{5}$I