July 22, 2026
Six strings, one math meltdown
Fretboard Memorisation with Modular Arithmetic
Guitar nerd’s math hack sparked a fretboard feud over genius, gimmicks, and “extra steps”
TLDR: A guitarist suggested using simple wraparound counting to learn where notes sit on the fretboard, hoping to make practice easier. Commenters instantly argued over whether it’s a smart beginner shortcut or a flashy distraction from actually learning the instrument.
A musician tried to make learning guitar notes less painful by turning the fretboard into a simple counting game: treat the 12 notes like a clock that wraps around, and suddenly every fret becomes a number puzzle. In plain English, the idea is that after 12 frets, the same notes repeat, so you can use a neat little system instead of brute-force memorizing everything. Cute, clever, and very internet-catnip.
But the real show started in the comments, where the community immediately split into camps. One side basically said, “Congrats, you invented a complicated shortcut for avoiding actual practice.” The harshest critic called it a flat-out bad idea, arguing that players should just learn the notes directly and stop leaning on “systems” and tricks. That take had big stern-music-teacher energy and instantly turned the thread from friendly theory chat into a mini culture war about whether hacks help beginners or just delay real fluency.
Others were less dramatic but still spicy. One commenter dismissed the whole thing as basically Guitar Grimoire with “extra steps,” which is exactly the kind of dry roast the internet lives for. Meanwhile, another person cheerfully widened the battlefield by pointing out the same logic works for violins and cellos too, sparking that classic “different instruments, same notes, totally different tribes” vibe. And in the middle of the scrum, one wholesome user dropped a recommendation for Absolutely Understand Guitar, like a calm adult entering a food fight with snacks.
Key Points
- •The article presents fretboard memorisation as learning which notes correspond to positions on a fretted instrument, especially guitar.
- •It explains modular arithmetic using wraparound number systems and examples such as the 24-hour clock and division remainders.
- •The author treats the 12-note chromatic scale as a modulo-12 system.
- •The article maps notes from A through G# to numbers 0 through 11 and applies that mapping directly to the guitar’s A string.
- •It states that once note values are memorised, fret positions can be identified with modulo 12 and the approach can be extended to other guitar strings.