Things We’ve Learned

1 After one week:

• pitch

• duration

• amplitude

• timbre

• expressions

• values

• evaluation

• function calls (applications)

2 After five weeks:

2.1 Things we’ve learned about music:

• the beat

• measures

• pitch/frequency

• geometric frequency perception (intervals are ratios)

• pleasing intervals

• the major scale

• the equal-tempered scale

• note symbols: whole, half, eighth, sixteenth

• sample rate

• elementary physics of vibration

2.2 Things we’ve learned about programming:

Vocabulary:

• expression

• constant

• application/call

• function

• parameter

• definition

• value

• evaluate

• steps in evaluation

• list

Concepts:

• Values

• Applying functions to values

• Nesting applications

• Defining constants

• Defining functions

• The steps of the design recipe

• Data definitions

• Enumerations, Intervals, Itemizations

• Compound Data (structures)

• Signatures

• Purpose Statements

• Writing test cases with check-expect

• Templates for Enumerations

• Templates for Intervals

• Templates for Compound Data

• Templates for Mixed Data (Itemization of compound data)

• Templates for Lists

3 After eight weeks:

3.1 Things we’ve learned about programming

• Recursion using Natural Numbers

• Map-like functions

• Filter-like functions

3.2 Things we’ve learned about music

• Intervals of the major scale (wwh,wwwh)

• The complex phasor

• summing of identical frequencies

• trigonometric identities as projections of the phasor

• Vector space bases

• The Fourier basis for vectors