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To Pythagoras music was one of the dependencies of the divine science of mathematics, and its harmonies were inflexibly controlled by mathematical proportions. The Pythagoreans averred that mathematics demonstrated the exact method by which the good established and maintained its universe.
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www.sacred-texts.com/eso/sta/sta19.htm
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Pythagoras; &; Music of the Spheres ... There is geometry in the humming of the strings; ... there is music in the spacing of the spheres. ... Music of the Spheres...
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www.dartmouth.edu/~matc/math5.geometry/unit3/unit3.html
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Sites about Pythagoras and the Pythagorean views on the cosmos and harmony. Links to material on the astronomy of Pythagoras and music. ... Pythagoras: Music and Space; Reading about the harmonies is one thing. This site provides AV files to let you hear them. Also discusses the spatial relationship of the sounds,
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ancienthistory.about.com/library/bl/blpyth_astronomy.ht...
ancienthistory.about.com/library/bl/blpyth_astronomy.htm
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This page contains information about mathematical relationships in music - from Pythagoras, to Fibonacci and Golden Section (Phi), to modern Serialism and Fractals. ... In regards to music, Pythagoras is credited with developing our understanding of the harmonic series - the overtone series.
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www.davesabine.com/Music/Articles/PythagorasMathematica...
www.davesabine.com/Music/Articles/PythagorasMathematicalTheoruminMusic/tabid/169/Default.aspx
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A brief introduction to Pythagoras' observations on the relation between music and number. Graphics show music intervals expressed as mathematical ratios. Pythagoras observed that when the blacksmith struck his anvil, different notes were produced according to the weight of the hammer.
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mathforum.org/library/view/7656.html
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This Pythagoras-music of the spheres page and the entire website are excerpted from You and the Universe, a handmade, individualized fine art book on astrology, mythology and astronomy through which the recipient's complete astrological reading is woven.
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www.myastrologybook.com/Pythagoras-music-of-the-spheres...
www.myastrologybook.com/Pythagoras-music-of-the-spheres.htm
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BLUEBOOK OF PIANOS ... Pythagoras (6th C. B.C.) observed that when the blacksmith struck his anvil, different notes were produced according to the weight of the hammer. Number (in this case "amount of weight") seemed to govern musical tone.
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www.bluebookofpianos.com/pyth.htm
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Pythagoras was exceptional amongst the great philsophers for having been a musician and having discovered the most important musical relationships. ... Pythagoras was very interested in music, and so were his followers. The Pythagoreans were musicians as well as mathematicians. Pythagoras wanted to improve the music of his...
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www.lycos.com/info/pythagoras--music.html
www.lycos.com/info/pythagoras--music.html
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The first person to make the connection between math and music was Pythagoras of Samos, a famous philosopher and cult leader who lived most of the time in southern Italy in 5th century BC. Among his claims to fame is the oldest known proof of what we call the "Pythagorean Theorem".
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members.cox.net/mathmistakes/music.htm
members.cox.net/mathmistakes/music.htm
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