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Listening to sequences in the OEIS

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Listening to Sequences in The OEIS

Background

For a long time I have had the idea that it would be interesting to be able to "hear" some of the sequences in the The On-Line Encyclopedia of Integer Sequences.

The main goal in this project is to discover properties of sequences by listening to them. If the results are also pleasing to the ear (and sometimes they are), this is an extra bonus.

Of course the idea of converting number sequences to music has a very long history. The only new idea here is that now we have a large database of sequences to call on.

Resources on the Web

  • By far the most useful site I have found is Jonathan Middleton's Music Algorithms web site. Jonathan Middleton is working with us to try to establish direct links from the OEIS to his site. (Done now?)
  • Lutz Büch (webmaster(AT)lutz-buech.de) has a program called modZart (pronounced "Mozart" of course) which among other things can play sequences from the OEIS. The executable file can be downloaded here. The program is written in Delphi and only runs on Windows machines. At present the interface is only in German.
  • Casey Mongoven has many compositions based on number sequences on his home page. Incidentally, you can meet him at the OEIS 100K E-party Page.
  • Rob Kauffmann has produced some scary-sounding compositions based on fractals, such as his Cantor Fugues and Sierpinski Fugues. He uses Garage Band.
  • Christian Lawson-Perfect has a prototype at Listen to a Sequence.
  • There are several other items to be added here. To be continued.