JOHN CURTIS FRANKLIN / ATHENS Hearing Greek Microtones Introduction Microtonal intervals occupy an important place in ancient Greek music theory, beginning with Archytas…

Physics 451 Fall 2004 Homework Assignment #1 — Solutions Textbook problems: Ch. 1: 1.1.5, 1.3.3, 1.4.7, 1.5.5, 1.5.6 Ch. 3: 3.2.4, 3.2.19, 3.2.27 Chapter 1 1.1.5 A sailboat…

Chapter 1 AN INTRODUCTION TO SPECTRAL MUSIC In the early 1970s, a group of young French composers1 was writing pieces starkly different from the music of most of their contemporaries.…

Your self-paced MATLAB training... What is MATLAB? The word MATLAB stands for MATrix-LABoratory. This virtual lab is a program for highperformance numerical operations and…

Lecture 3 Superposition and Standing Waves Superposition and interference 2 • Two traveling waves can pass through each other without being destroyed or altered (two particles…

THE MODES OF ANCIENT GREECE by Elsie Hamilton **** PREFACE Owing to requests from various people I have consented with humility to write a simple booklet on the Modes of…

THE MODES OF ANCIENT GREECE by Elsie Hamilton **** PREFACE Owing to requests from various people I have consented with humility to write a simple booklet on the Modes of…

Exploring Pascal’s Triangle Tom Davis [email protected] http://www.geometer.org/mathcircles April 27, 2009 Abstract This article provides material to help a teacher…

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1. INTRODUCTIONAN ACOUSTICS PRIMER FOR MUSIC SPACESVERSION1.2 2. INTRODUCTION PLANNING GUIDES FOR NEW CONSTRUCTION AND RENOVATION Used by thousands of music educators, architects…