BAIN MUSC 540
Projects in Computer Music

Learning Mathematica

Links for my computer music students

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Mathematica

What is Mathematica? {Wolfram}

Documentation

Wolfram Language & System Documentation Center {Wolfram}

Related Tools

1. Wolfram Alpha: A computational knowledge engine {Alpha | About}
2. Wolfram Mathworld: An online mathematics reference created Eric W. Weisstein {Mathworld | About}
3. Wolfram Graphica {Graphica | About}
4. Wolfram Tones {Wolfram Tones | About}
5. Wolfram Functions: The world's largest collection of formulas and graphics about mathematical functions {Functions}

Related Concepts

1. What is Computational Mathematics? {Wikipedia}
2. What is Computational Audio? {Wolfram}

Journals and Blogs

1. The Mathematica Journal
2. Steven Wolfram's Blog

Getting Started

1. Video Tutorials
   Visit the Wolfram Video Gallery (WVG)
• Introduction to the Wolfram Language w/ Stephen Wolfram {Video: WVG}
• Hands-on Start to Mathematica {Video: WVG}
• Mathematica: Core Language Features {Video: WVG}
• Visualization Fundamentals {Video: WVG}
  
2. Other Tutorials
   • The Wolfram Language: Fast Introduction for Programmers {Wolfram}
3. Misc.
   • Keyboard Shortcut Listing {Wolfram}

Computational Audio

1. Shadi Ashnai, An Introduction to Computational Audio {Video: Wolfram}
2. Documentation
   • Audio Formats {Wolfram}
   • Audio Processing {Wolfram}
   • Signal Processing {Wolfram}
   • Sound and Sonification {Wolfram}
   • Trig Functions {Wolfram}
   • Wavelet Analysis {Wolfram}
3. Wolfram Virtual Conference Series
   • Audio Effects {Video: Wolfram}
   • Audio Synthesis {Video: Wolfram}
   • Audio Analysis {Video: Wolfram}
   • Wolfram Tones {Video: Wolfram}
4. Misc. Topics
   • How to Synthesize Sounds {WPL}
   • New in Mathematica 11 {Wolfram}
     • Computational Audio {Wolfram}
   • New in Mathematica 10: Enhanced Sound and Signal Processing {Wolfram}
     • Generate Sound from an Image (Sinusoidal Synthesis) {Wolfram}
     • Direct Processing & Analysis of Sound {Wolfram}

Musical Examples from the Wolfram Demonstrations Project {WDP}

1. Music Demonstrations {WDP}
2. Michael Schreiber, Fourier Sound Synthesis {WDP}
3. Emmanuel Amiot and Fernand Brunschwig, Pythagorean, Meantone, and Equal Temperament Musical Scales {WDP}
4. Justin Lubin, Algebraic Operations on Melodies {WDP}
5. Jiayin Xie, Exploring Musical Tuning and Temperament {WDP}

WDP - Wolfram Demonstrations Project; WPL - Wolfram Programming Lab; WVG - Wolfram Video Gallery

Bibliography

Mangano, Sal. 2010. Building Blocks for Science, Engineering, Finance, Music, and More. Sebastopol, CA: O'Reilly Media. {GBd}

Wolfram, Steven. 2017. An Elementary Introduction to the Wolfram Language, 2/e. Available online at: <https://www.wolfram.com/language/elementary-introduction/2nd-ed/>.

_____________. 2002. A New Kind of Science. Champaign, IL: Wolfram Media, Inc. Available online at: <http://www.wolframscience.com/nks/>.

Updated: June 10, 2017