This is a quiz on pitch class set theory basics.

PC SET QUIZ - multiple choice

JQuiz Instructions

Give the mod 12 equivalent of 14.
1. 1
2. 2
3. 3
4. 4
Give the mod 12 equivalent of -3.
1. 3
2. 6
3. 9
4. 0
Give the mod 12 equivalent of 48.
1. 0
2. 2
3. 4
4. 8
Give the mod 12 equivalent of -15.
1. 3
2. 9
3. 0
4. 5
Perform the following operation mod 12: 7 + 8
1. 3
2. 5
3. 6
4. 1
Perform the following operation mod 12: 2 - 10
1. 0
2. 4
3. 6
4. 8
Perform the following operation mod 12: 11 + 8
1. 1
2. 3
3. 7
4. 9
Perform the following operation mod 12: 4 - 8
1. 0
2. 2
3. 4
4. 8
Put the following set into Normal Form, using pc numbers:
F#, G, A#, C, C#, E
1. [6,7,10,0,1,4]
2. [7,10,0,1,4,6]
3. [0,1,4,6,7,10]
4. [4,6,7,10,0,1]
Put the following set into Normal Form, using pc numbers:
C#, G, F#
1. [1,7,6]
2. [1,6,7]
3. [6,7,1]
4. 7,1,6]
Put the following set into Normal Form, using pc numbers:
F,Ab,B,C,D
1. [0,2,5,8,11]
2. [2,5,8,11,0]
3. [8,11,0,2,5]
4. [11,0,2,5,8]
Put the following set into Normal Form, using pc numbers:
C,D,E,F,G,A,B
1. [0,2,4,5,7,9,11]
2. [2,4,5,7,9,11,0]
3. [4,5,7,9,11,0,2]
4. [11,0,2,4,5,7,9]
Put the following set into Prime Form: [10,3,4]
1. (017)
2. (016)
3. (015)
4. (018)
Put the following set into Prime Form: [7,8,11,0,1,3]
1. (013568)
2. (013578)
3. (014569)
4. (014568)
Put the following set into Prime Form: [2,5,8,10]
1. (0258)
2. (0259)
3. (0358)
4. (0248)
Put the following set into Prime Form: [1,2,7,8]
1. (0145)
2. (0156)
3. (0157)
4. (0167)
Transpose [2,4,6,7] by T8 and put in Normal Form
1. [1,2,4,6]
2. [6,8,10,11]
3. [10,0,2,3]
4. [0,2,4,5]
Transpose [0,3,6,9] by T3 and put in Normal Form
1. [0,3,6,9]
2. [6,9,0,3]
3. [1,4,7,10]
4. [4,7,10,1]
Transpose [6,7,0] by T6 and put in Normal Form
1. [6,11,0]
2. [0,1,7]
3. [0,1,6]
4. [11,0,6]
Transpose [8,9,11,0,4] by T4 and put in Normal Form
1. [0,4,5,7,8]
2. [0,1,3,4,8]
3. [0,4,5,9,1]
4. [0,1,5,9,10]
Invert [9,10,0,2] by T9I and put in Normal Form
1. [11,0,7,9]
2. [0,7,9,11]
3. [6,7,9,11]
4. [7,9,11,0]
Invert [1,2,5] by T0I and put in Normal Form
1. [11,10,7]
2. [7,10,11]
3. [1,2,5]
4. [0,1,4]
Invert [4,7,10,0] by T6I and put in Normal Form
1. [8,6,2,11]
2. [10,1,4,6]
3. [6,8,11,2]
4. [0,2,5,8]
Invert [1,2,4,7,10] by T3I and put in Normal Form
1. [1,2,5,8,11]
2. [4,5,7,10,1]
3. [0,1,3,6,9]
4. [11,1,2,5,8]
Are these two sets related by transposition? If so, indicated the transposition operator: [7,8,10,1,4] and [1,2,4,7,10]
1. Yes, by T5
2. No
3. Yes, by T1
4. Yes, by T6
Are these two sets related by transposition? If so, indicated the transposition operator: [2,4,6,9] and [1,3,5,8]
1. Yes, by T11
2. Yes, by T1
3. No
4. Yes, by T10
Are these two sets related by transposition? If so, indicated the transposition operator: [1,2,5,9] and [11,0,3,7]
1. Yes, by T0
2. No
3. Yes, by T10
4. Yes, by T8
Are these two sets related by transposition? If so, indicated the transposition operator: [8,10,2] and [2,6,8]
1. Yes, by T10
2. Yes, by T4
3. No
4. Yes, by T0
Are these two sets related by inversion? If so, indicated the inversional index: [4,6,9] and [4,7,9]
1. Yes, by T0I
2. Yes, by T1I
3. Yes, by T8I
4. No
Are these two sets related by inversion? If so, indicated the inversional index: [4,5,8,11] and [10,1,4,5]
1. No
2. Yes, by T6I
3. Yes, by T0I
4. Yes, by T9I
Are these two sets related by inversion? If so, indicated the inversional index: [1,4,6,9] and [10,1,4,6]
1. Yes, by T9I
2. Yes, by T7I
3. Yes, by T8I
4. No
Are these two sets related by inversion? If so, indicated the inversional index: [8,10,2] and [2,6,8]
1. No
2. Yes, by T10I
3. Yes, by T4I
4. Yes, by T6I
Given the following ICV and its corresponding set-class, at which transposition level would you find the maximum number of common tones?
4-19 (0148) ICV <101310>
1. T4
2. T3
3. T5
4. T1
Given the following ICV and its corresponding set-class, at which transposition level would you find the maximum number of common tones?
3-2 (013) ICV <111000>
1. T1
2. T3
3. T4, T5, T6
4. T1, T2, T3
Given the following ICV and its corresponding set-class, at which transposition level would you find the minimum number of common tones?
4-28 (0269) ICV <004002>
1. T3
2. T1, T2, T4, T5
3. T3, T6
4. T6
Given the following ICV and its corresponding set-class, is this set-class transpositionally symmetrical?
6-20 (014589) ICV <303630>
1. Yes, at T1, T3, T4, and T5
2. Yes, at T2 and T6
3. No
4. Yes, at T4
Given the following ICV and its corresponding set-class, is this set-class transpositionally symmetrical?
4-19 (0148) ICV <101310>
1. No
2. Yes, at T1, T3, T4, and T5
3. Yes, at T4
4. Yes, at T2 and T6
Given the following ICV and its corresponding set-class, is this set-class transpositionally symmetrical?
4-25 (0268) ICV <020202>
1. Yes, at T1, T3, and T5
2. No
3. Yes, at T2, T4, and T6
4. Yes, at T6
Select all of the literal three-note subsets of [0,2,3,5] in Normal Form
1. [0,2,3]
2. [0,2,5]
3. [0,5,2]
4. [0,3,2]
5. [0,3,5]
6. [3,5,2]
7. [2,3,5]
8. [2,3,0]
Select all of the abstract three-note subsets of [0,2,3,5] in Prime Form
1. (023)
2. (013)
3. (025)
4. (035)
5. (012)
Is [2, 4, 5, 7] a member of any diatonic collection?
1. Yes, D Major
2. No
3. Yes, Bb major
4. Yes, C major
Is [2, 4, 5, 7] a member of any octatonic collection?
1. No
2. Yes, OCT (0,1)
3. Yes, OCT (1,2)
4. Yes, OCT (2,3)
What pitch collection most accurately describes the following excerpt?
1. A phrygian
2. OCT (0,1)
3. HEX (0,1)
4. OCT (1,2)
What pitch collection most accurately describes the following excerpt?
1. D# Aeolian
2. WT1
3. C# Dorain
4. B anhemitonic pentatonic
What pitch collection most accurately describes the following excerpt?
1. WT0
2. OCT (0,1)
3. Bb Acoustic scale (#4, b7)
4. OCT (2,3)
What pitch collection most accurately describes the following excerpt?
1. Bb anhemitonic pentatonic
2. OCT (2,3)
3. Bb mixolydian
4. WT0
What pitch collection most accurately describes the following excerpt?
1. C anhemitonic pentatonic
2. OCT (2,3)
3. F Ionian (major)
4. F Acoustic Scale (#4, b7)
There are five tetrachords circled in the following excerpt from Berg's Wozzeck, labeled A, B, C, D and E. How many different pitch-class sets do they represent?
1. Five different pc sets
2. All the same pc set
3. Two different pc sets
4. Three different pc sets
Which pcs are held invariant (common tones) between sets A and B?
1. Two: 2, 10
2. One: 5
3. Three: 2,5,10
4. One: 11
How can you derive set D from set A?
1. Transpose set A by T9
2. Invert set A by T4I
3. Transpose set A by T3
4. Invert set A by T6I