http://aikelab.net/tarai/

Tarai Function Music

May 2, 2013 by aike

Introduction

Tarai Function Music is an approach of algorithmic composition based
on tarai function. It automatically generates a complex and very long
music from a simple formula.

Example

The following is an implementation of tarai function music written in
JavaScript. [source code]

Tarai([10  ], [5   ], [0   ]) Start/Pause Reset
function call count: 0
now processing ... Tarai(, , ) =>

Tarai function

Tarai function is a recursive function devised by Ikuo Takeuchi in
1978. This function processes so many recursion function calls. So it
is often used as a programming language benchmarking.

[tarai]

Mapping arguments to music notes

I tried to assign the function's arguments to music notes. For
example, the minimum argument value (-1) converts to D, next value
(0) converts to E, ... Thus the three arguments are assigned to the
triad of D Dorian mode .

[notemappin]

Next, the triad chord notes are mapped arpeggio sequence pattern,
like this.

[arpeggiato]

In this way, It generates arpeggio notes in every recursion function
call.

Resources

YouTube and Soundcloud

Other Implementations of Tarai Function Music

  * Smalltalk
  * Scheme
  * Clojure
  * SuperCollider
  * ActionScript
  * Lisp
  * Python + Pd