the geometry of musical rhythm godfried toussaint school of computer science mcgill university montr eal qu ebec canada dedicated to j anos pach on the occasion of his 50th birthday ...
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...The geometry of musical rhythm godfried toussaint school computer science mcgill university montr eal qu ebec canada dedicated to j anos pach on occasion his th birthday abstract is considered from point view ge ometry interaction between two elds yields new insights into rhythmandmusic theory as well problems for research in mathe matics and recent results are reviewed open proposed introduction imagine a clock which has hours marked its face instead usual assume that hour minute hands have been broken o so only second hand remains furthermore this running fast makes full turn about seconds such illustrated figure now start ticking at noon let it keep ever finally strike bell positions total ve strikes per cycle these times with resulting pattern rings out seductive short span fty years during last half century managed conquer our planet known around world mostly clave son cuba however common africa probably travelled slaves traditionally played an iron sticks made hard wood also call...