Collatz Sequencer
Collatz Sequencer uses the Collatz conjecture to generate no...
- Type
- MIDI Effect
- Author
- ithkaa
- Version
- 1.2
- License
- None
- Live version
- 10.1.6
- Max version
- 8.3.1
- Downloads
- 1,682
- Updated
- 2019-12-31
Description
Collatz Sequencer uses the Collatz conjecture to generate notes.
The Collatz conjecture is a conjecture in mathematics that concerns a sequence defined as follows: start with any positive integer n. Then each term is obtained from the previous term as follows: if the previous term is even, the next term is one half the previous term. If the previous term is odd, the next term is 3 times the previous term plus 1. The conjecture is that no matter what value of n, the sequence will always reach 1.
The Collatz Sequencer generates a note when the term countdown reaches zero, resulting in irregular, repetitive rhythmical patterns. When the sequence for any integer between 1 and 16 reaches 1, it automatically repeats.