Minimalism Test 2
Beat-class sets, Rhythmic Patterns, Layering, Resulting Patters
KM Spring 2024
Question 1
A) On the staff, notate the following rhythmic pattern in 12/8, Modulus 12, expressed in integers: (0 1 1 0 1 1 0 1 0 1 1 0)
B) Notate the following rhythmic pattern in 12/8, Modulus 12, using integers: For quarter notes, notate the attacks (using integer 1) followed by an 8th note rest.
C) Notate the intersections of the following two patterns using integers: for quarter notes, notate the attacks (using integer 1), followed by an 8th note rest.
D) Notate the union of the same two rhythmic patterns using integers: for quarter notes, notate the attacks, followed by an 8th note rest.
Question 2
A) On the staff, transpose Pattern A by one 8th note (T1), and copy the original version of Pattern B. Circle intersections and write the resulting pattern using integers.
Please note that with shifting the pattern by one, your last 8th note will move to the beginning of the measure (pulse 1).
B) Compare the resulting patterns of the two intersections (original version and the version with Pattern A, T1) and briefly comment similarities and differences.
Does shifting of Pattern A change the perception of meter?
C) Notate the intersections of all three lines, Pattern A, Pattern B, Pattern C. Write the resulting Beat-class set using integers. Compare it with the original Intersection of patterns A and B. Briefly describe the result. Did the perception of meter of downbeat change?
Question 3
A) Using integer notation, write the beat-class set of the upper layer (the third E-G in the top voice, Pattern A in the example), and the beat-class set of the lower layer (the chord).
B) Identify the relationship between Pattern A and Pattern B. Are they the same? Briefly explain.
C) The previous example is in Modulus 10. Compose two rhythmic patterns in 10/8. Their intersections should produce the following Bc-set.
(1 0 1 0 0 1 1 0 0 0)
Please note that multiple answers possible.