U-M ENGR 100 - Music Signal Processing (7 pages)

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Music Signal Processing



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Music Signal Processing

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Pages:
7
School:
University of Michigan
Course:
Engr 100 - Intro Engineering

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Eng 100 Music Signal Processing F14 Project 1 Tone synthesizer transcriber 1 J Fessler Abstract This project teaches you the Matlab Graphical User Interface GUI tools that you will use in subsequent projects It also demonstrates some issues you will face during the projects The goals of this project are 1 to write a Matlab program for a tone synthesizer with an on screen mouse activated keypad 2 to write a Matlab program for a tone transcriber that produces a Matlab stem plot similar to musical staff notation from a pure tonal signal The second project will do the same thing for telephone touch tones the third project will do the same thing for synthesized musical instruments This project will help you do both 2 Background In Lab 2 you learned the frequencies used in a pure tonal version of The Victors In this project you will apply that knowledge to build a tone synthesizer and transcriber You need to learn some musical notation and nomenclature and some graphical Matlab commands These topics are covered next 3 3 1 Basics of musical staff notation Results from Lab 2 In Lab 2 you learned that the musical tones used in The Victors had the following frequencies 392 440 494 523 587 659 Hz rounded to the nearest integer You also inferred that there were missing frequencies 415 466 554 622 Hz You also deduced that these notes are related to each other not by common differences but by a common ratio of 1 06 actually 1 0595 In fact 1 0595 is the 12th root of 2 i e 21 12 That factor suggests that there is a basic set of 12 notes that repeat with their frequencies multiplied by integer powers positive and negative of two This is indeed the case This is the modern 12 tone or chromatic musical scale most Western music is based on it but several non Western musical genres use other scales The repetitions of the 12 frequencies are called octaves because for any 8 notes that make up a major scale the highest note has twice the frequency of the lowest note An 8 note major scale



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