Fretboard Memorisation with Modular Arithmetic
5 hours ago
- The article introduces a method for memorizing the guitar fretboard using modular arithmetic modulo 12, assigning each note a numeric value from 0 to 11.
- Traditional approaches require memorizing up to 144 positions (24 frets × 6 strings), which is effort-intensive and does not adapt to different tunings or instruments.
- The proposed system requires memorizing only 12 key-value pairs (one per note) and uses a formula v ≡ r + f (mod 12), where v is the note value, r is the string's root value, and f is the fret number.
- This system is tuning-agnostic and works for any number of strings or frets, even microtonal instruments with consistent intervals, but requires familiarity with modular arithmetic.
- Drawbacks include the need for mental calculations modulo 12 and inapplicability to fretless instruments.