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| == Meandering Sound == | |||
| === About === | |||
| In this lecture we will look at sound signals as meandering curves in time. | |||
| * '''Mathematical Functions''' — in the 1st part, we will learn how to create curves using mathematical functions. | |||
| * '''Curves of Sound'''  — in the 2nd part, we will learn how to make audible curves in time and space. | |||
| === Goals === | |||
| * Basics of mathematical functions | |||
| * Polar coordinates | |||
| * Harmonic synthesizer | |||
| * Sound synthesis in Processing | |||
| === Literature === | |||
| * Irvine Whitty:  [http://math.ucr.edu/home/baez/harmonograph/The_Harmonograph.pdf The Harmonograph] (1893) | |||
| * Joseph Goold: [http://math.ucr.edu/home/baez/harmonograph/Harmonic_Vibrations.pdf Harmonic Vibrations] (1910) | |||
| * Tom Greenslade: [http://digital.kenyon.edu/cgi/viewcontent.cgi?article=1030&context=physics_publications All about Lissajous Figures] (1993)  | |||
| * Frank A. Farris: [https://www.jstor.org/stable/pdf/2691465.pdf Wheels on Wheels on Wheels-Surprising Symmetry] (1996)  | |||
| * Aatish Bhatia: [http://nautil.us/blog/the-math-trick-behind-mp3s-jpegs-and-homer-simpsons-face The Math Trick behind MP3s, JPEGs and Homer Simpson's Face] (2013) | |||
| * Michael Trott: [http://blog.wolframalpha.com/2013/05/17/making-formulas-for-everything-from-pi-to-the-pink-panther-to-sir-isaac-newton/ Making Formulas for Everyhing] — from Pi to the Pink Panther to Sir Isaac Newton (2013) | |||
| * Michael Trott: [http://blog.wolframalpha.com/2013/06/10/using-formulas-for-everything-from-a-complex-analysis-class-to-political-cartoons-to-music-album-covers/ Using Formulas for Everything] — from a Complex Analysis Class to Political Cartoons to Music Album Covers (2013) | |||
| === Code === | |||
| * Santiago Ginnobili: [https://www.youtube.com/watch?v=QVuU2YCwHjw Ptolemy and Homer Simpson] (2008) | |||
| * Martin Schneider: [http://www.openprocessing.org/sketch/34403 Vignette Explorer] (2011)  | |||
| === Video === | |||
| * Jeroboam Fenderson: [https://www.youtube.com/watch?v=YqSvkNjWnnQ Nuclear Black Noise] (2013)  (oscilloscope / lissajous music)   | |||
| * John Baez and Anita Chodry: [https://www.youtube.com/watch?v=AExisumxtzQ The Harmonograph] (2016)  | |||
| === Links === | |||
| * [http://physics.case.edu/about/history/antique-physics-instruments/harmonic-synthesizer-2/ Harmonic Synthsizer] | |||
| * [http://physics.case.edu/about/history/antique-physics-instruments/harmonic-analyzer-2/ Harmonic Analyser] | |||
| * [http://oscilloscopemusic.com/ Oscilloscope Music] | |||
| * [http://mechanicaldesign101.com/2015/12/24/fourier-curve-tracing/ Fourier-Curve Tracing the Batman-Curve] | |||
| == Meandering Video == | |||
| == The Meandering Mind == | |||