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overflow — integer overflow is oscillation
A phase accumulator that folds back around max int is a sawtooth oscillator — the beating heart of every digital synth.
This dataset contains audio recordings of the four "rungs" of the overflow ladder:
| file | rung | character |
|---|---|---|
overflow-int8.wav |
int8 | coarse, buzzy, stepped — 256 levels of fold |
overflow-int16.wav |
int16 | fuller, rounder |
overflow-int32.wav |
int32 | smooth |
overflow-float.wav |
float | glassy — the fold with no floor under it |
Each file is 15 seconds, 44.1kHz mono WAV. Generated from overflow.py in peterlodri-sec/overflow.
Concept: An integer that overflows back to zero oscillates. This is the same mechanism that powers every digital synthesizer. The script walks the ladder from 8-bit through floating-point, feeding the oscillator its own output (FM feedback) and a synthetic room input.
python overflow.py --record out.wav 15
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