Armageddon: Beethoven’s Final Statement

Do not go gentle into that good night,Old age should burn and rave at close of day;Rage, rage against the dying of the light. Dylan Thomas And now, the end. Like Bach before him, Beethoven ends (at least for this history) with a fugue. Beethoven had written a grand fugue to close his String Quartet … Continue reading Armageddon: Beethoven’s Final Statement

A brief introduction

At its core, music is as much mathematics as art: The godfather of Western music—all Western music—is none other than Pythagoras, the Triangle King himself.  In or around 500 BC, Pythagoras developed the modern scale by taking metal bars and dividing them sequentially by 2/3 to create successive notes.  Pythagoras’ scale had 12 tones—you can … Continue reading A brief introduction