Art/Music Worksheet
MA203 Contemporary Mathematics
(1) What were the names of the different chords Emmeline introduced in class? (Hint: There were 4 of
them.)
(2) What were the half step relationships for each type of chord?
(3) What is a sine wave?
(4) What’s the relationship between a sine wave and color?
(5) What’s the relationship between a sine wave and the volume of sound?
(6) What’s the relationship between a sine wave and musical pitch?
Art/Music Worksheet
MA203 Contemporary Mathematics
(7) What is the definition of the Fibonacci sequence, and what are the first 15 Fibonacci numbers?
(8) Suppose I want to define a Fibonacci-like sequence by setting F1 = 1, F2 = 7 and using the recursive
rule
Fn = 2Fn−1 − Fn−2 .
Find F3 , F4 and F5 .
(9) What is the golden ratio?
(10) What is the other way to define the golden ratio?
(11) What is the relationship between the golden ratio and the standard Fibonacci sequence?
(12) What is the relationship between the golden rectangle and art?
Art/Music Worksheet
MA203 Contemporary Mathematics
(13) What are the three types of rigid motions?
(14) How can you get from one of these pictures to the other by using rigid motions?
(15) What are the two types of symmetry?
(16) What is the group of symmetries of the following image called?