Fretboard Memorisation with Modular Arithmetic
This article explores using modular arithmetic as a mathematical framework to help musicians memorize the fretboard on stringed instruments. It explains the concept of modular systems, such as the 24-hour clock, to simplify understanding note patterns.
Why it matters
It provides a novel, analytical approach to music theory and skill acquisition, bridging the gap between mathematics and artistic practice.
Memorising (or "learning") the fretboard refers to when an individual learns which musical notes correspond to what positions on the fretboard of their instrument, a skill that is useful for playing just about any instrument that has frets. In particular, "learning the fretboard" is a topic frequently discussed in guitar circles for its importance in improvisation & soloing. In general, the common approaches to learning the fretboard seem to consist of a combination of just committing it to memory and using some tricks to help with that memorisation; however, I have a number of problems with this approach:
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