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Our music was once divided into its proper forms...It was not permitted to exchange the melodic styles of these established forms and others. Knowledge and informed judgment penalized disobedience. There were no whistles, unmusical mob-noises, or clapping for applause. The rule was to listen silently and learn; boys, teachers, and the crowd were kept in order by threat of the stick. . . . But later, an unmusical anarchy was led by poets who had natural talent, but were ignorant of the laws of music...Through foolishness they deceived themselves into thinking that there was no right or wrong way in music, that it was to be judged good or bad by the pleasure it gave. By their works and their theories they infected the masses with the presumption to think themselves adequate judges. So our theatres, once silent, grew vocal, and aristocracy of music gave way to a pernicious theatrocracy...the criterion was not music, but a reputation for promiscuous cleverness and a spirit of law-breaking.[
Ancient Greece • Philosophy • Math • Science • Platos • Socrates • Aristotle
Accident? • Music = Mathemetics of the Cosmos???
Music in Greek Life • Culture not unlike our own: • Weddings • Funerals • Festivals • Games (Olympics were born here after all) • Theater! • But we will talk more about that later…
But Music Theory = MATH • music of the spheres • the stars, the sun, the planets, all vibrating in harmony • mathematical and philosophical description of how the universe works
Pythagoras of Samos • Math guy • “Pythagorian theorem” • `Don’t Worry Ms. Askins will teach you later…. • a2+b2=c2
Pythagoras of Samos • According to legend, the way Pythagoras discovered that musical notes could be translated into math equations was when one day he passed blacksmiths at work, and thought that the sounds from their anvils being hit were beautiful and musical and decided that whatever scientific law caused this to happen must be mathematical and could be applied to music.
Pythagoras of Samos • He went to the blacksmiths to learn how this had happened by looking at their tools, he discovered that it was because the hammers were "simple ratios of each other, one was half the size of the first, another was 2/3 the size, and so on."
Pythagoras of Samos • MYTHBUSTED • these ratios are only work with string length (such as the string of a and not to hammer weight • However, Pythagoras probably discovered these properties of string length.
Music in Math • Where else does MATH play a BIG part in MUSIC?
