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AI Engineering
Hacker News·Jul 22·5 min read
Fretboard Memorisation with Modular Arithmetic
TL;DR
A new approach to memorising the guitar fretboard uses modular arithmetic to simplify learning musical notes across different tunings. This method reduces the cognitive load and enhances adaptability for musicians.
✦ Why It Matters
Start using modular arithmetic to simplify your fretboard memorisation and improve your musical adaptability today.
Key Takeaways
- Learn the 12 musical notes' values for quick reference.
- Apply modular arithmetic to find notes on any fret easily.
- Adapt this method to different tunings without extra memorisation.
- Use this system for any fretted instrument with consistent intervals.
How It Works
The method uses modular arithmetic to simplify fretboard memorisation. Each note in the chromatic scale is assigned a number from 0 to 11.
For any fret, the note can be calculated using the formula v ≡ r + f mod 12, where r is the root note's value and f is the fret number. This allows musicians to quickly determine the note at any fret without memorising each position individually.