project02 - CSE 231 Fall 2007 Programming Project #2...

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CSE 231 Fall 2007 Programming Project #2 Assignment Overview: This assignment involves the coding and testing of a program that uses arithmetic expressions. The assignment is worth 20 points (2% of the course grades), and must be completed before 11:59 pm on Monday, September 10 th . Background: One of the oldest problems of music is how to map the notes of a musical piece to a set of audio frequencies. There are various ``tuning approaches'' that state slightly different ways of assigning notes to a particular frequency. This project will require that you write a program that does one particular kind of this mapping. First, we must define some form of musical note notation. The one common representation is the octpch note notation. This notation represents each note as a number pair, where the first number indicates which octave the note belongs to and the second number the note within the octave, termed the pitch class . There are 12 semitones within each octave on the keyboard, namely: Note C C# D D# E F F# G G# A A# B Pc 0 1 2 3 4 5 6 7 8 9 10 11 We must map sound frequencies to this representation. We start by choosing a reference note. The reference note frequency mapping is that 4.9 (A in the fourth octave) is 440 Hz. Every tuning mapping must insure that each note in the next higher octave has a frequency that is twice the previous octave, therefore 5.9 880 Hz and 3.9 220 Hz. Our tuning system will assume that each of the semitones within an octave is equally spaced, that is the distance from one semitone to the next is the same within the octave. This is called a Tempered Scale . The formula we use is: ) 12 ( 2 * m o x + where x is a reference Hz value for a known note, o is the difference (sign matters) in octave between the reference note and the note in question and m is the difference (sign matters) between the reference semitone and the note semitone in question. Consider the value for 0.0, C in the first
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project02 - CSE 231 Fall 2007 Programming Project #2...

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