The Mathematics of Musical Instruments

Rachel Wells Hall, Krešimir Josić́ · American Mathematical Monthly · 2001

1. INTRODUCTION The history of musical instruments goes back tens of thousands of years. Fragments of bone flutes and whistles have been found at Neanderthal sites. Recently, a 9,000-year-old flute found in China was shown to be the world’s oldest playable instrument (pictures and a recording of this flute are available at

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