W SPACE - WAVE TABLES from the MULTI-STAR FRACTAL

For documentation of the algorithm in general, see Appendix A in:
J. A. Shuster and J. Koeplinger, "Elliptic complex numbers with dual multiplication.",
http://www.jenskoeplinger.com/P/PaperShusterKoepl_WSpace.pdf

README.

License: Creative Commons Share-alike with attribution, v3.0. See the "README" file in the latest package in the Packages directory for details.

The following sweeps are best downloaded in OGG format. If you don't have the codecs yet, get them e.g. directly from Xiph.org (Vorbis / OGG codecs). In addition, you may download the raw WAV file (large!) and the command line used to create that file. OGG files are created with "oggenc -q 6 <file>".

Last updated: 1 January 2009


Full sweep, from 100% to 0%, 20 seconds
Sweep of all convergence percentages in the multistar, from 100% convergence (most inner region) to 0% convergence (most outer, jagged boundary). All sweeps are continuous, 20 seconds in length, to varying base frequencies (as noted). The amplitude is adjusted from full amplitude (at the beginning) to 10% (at the end), to compensate for the increased perceived "loudness" which comes with the increasing amount of overtones.
Note: The audible "steps" in the overtone color of the wave table sweeps are not artifacts, but represent passing of a convergence plateau. The largest such plateaus are for the 50% convergence percentage, the corresponding "step" in the overtone color can be heard exactly in the middle of the sweep, after 10 seconds.
Base frequency OGG file (preferred) WAV (raw, large) command line
160 Hz multistar_160Hz_full_20s.ogg multistar_160Hz_full_20s.wav ./a.out 0 160 1. 20. 0. 0 1. 0.1
80 Hz multistar_080Hz_full_20s.ogg multistar_080Hz_full_20s.wav ./a.out 0 80 1. 20. 0. 0 1. 0.1
40 Hz multistar_040Hz_full_20s.ogg multistar_040Hz_full_20s.wav ./a.out 0 40 1. 20. 0. 0 1. 0.1
20 Hz multistar_020Hz_full_20s.ogg multistar_020Hz_full_20s.wav ./a.out 0 20 1. 20. 0. 0 1. 0.1
10 Hz multistar_010Hz_full_20s.ogg multistar_010Hz_full_20s.wav ./a.out 0 10 1. 20. 0. 0 1. 0.1
5 Hz multistar_005Hz_full_20s.ogg multistar_005Hz_full_20s.wav ./a.out 0 5 1. 20. 0. 0 1. 0.1