We’ll have two main areas of concentration, within applied mathematics:
* Signal processing
* Stochastic processes
Each has applications to music.
For signal processing, consider:
* EQ – frequency filtering
* Beat detection in music analysis
These applications will motivate the study of the Fourier Transform, and that in turn will motivate the study of calculus, and so forth.
We can then consider other applications beyond music. For example, the analysis of a EKG signal to determine where the heartbeats occur. Not the deep similarity here: it’s still beat detection!
This is the start of a project to put together curriculum on selected topics in music and applied mathematics.
* Catalog of rhythms
* Catalog of songs
These will include music notation, explanatory text, tutorial videos and performance videos. Instruments to be covered are guitar, percussion, keyboard and voice.
Some rhythms to cover: Swing, Bossa Nova, Calypso, various Claves, a Detroit Beat, a Funk Rhythm, a Johnny Cash beat. Swing is the mystery rhythm.
The target platform for this information is an Instiki wiki.
Consider the use of ABC music notation for describing the music and having it rendered to music notation.
Instiki does not support ABC, so consider developing a plugin for this.