Dmod 12
Commentary on "dmod 12"
3.2 Chaos Theory and the Double Pendulum
Dirac delta function
The second derivative introduces the δ(x) , scaled by a factor of 2:
- Division and remainder: Divide
a by 12 and take the remainder.
- Modulus operator: Use the modulus operator (
%) in programming languages, such as a % 12 in C, Java, or Python.
- Eurorack synth DIY: Perfect as a cheap VCO modulator. I patched it into a basic oscillator and got lush PWM bass tones.
- RF testing: Works as a simple signal injector for AM radio alignment. Stable enough for hobbyist bench work.
- Arduino projects: The 9V input plays nicely with common boost converters.
- Compute as usual, then reduce modulo 12 (subtract or add 12 if result ≥12 or <0).
- Example: 9 + 7 ≡ 4 (mod 12). 3 − 8 ≡ 7 (mod 12).
Noteworthy consequences
