8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 1/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 2/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 3/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 4/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 5/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 6/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 7/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 8/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 9/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 10/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 11/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 12/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 13/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 14/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 15/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 16/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 17/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 18/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 19/20

8/14/2019 The Mathematics of Music and Harmonics

http://slidepdf.com/reader/full/the-mathematics-of-music-and-harmonics 20/20