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Hacker News·Sep 4·5 min read
Can guitar frets perform multiplication?
TL;DR
The book Calculating with Tones explores the relationship between logarithms, music, and slide rules, suggesting that guitar frets can facilitate multiplication. This intriguing concept connects musical pitch perception with mathematical calculations.
✦ Why It Matters
Consider exploring the mathematical principles behind music to enhance your understanding of both fields.
Key Takeaways
- Understand the logarithmic relationship in music for better sound design.
- Experiment with guitar frets for educational demonstrations of logarithms.
- Recognize the limitations of using frets for precise calculations.
- Explore the connection between mathematics and music in your projects.
How It Works
Guitar frets are spaced logarithmically, similar to a slide rule, allowing for a conceptual framework where distances between frets can represent numerical values. This alignment suggests that moving the top half of a guitar could yield multiplication results by correlating fret positions with fractions.
⚠ The Catch
While the first octave aligns well with multiplication, extending this concept to two octaves reveals inconsistencies, as the spacing does not correspond accurately to the logarithmic scale of a slide rule.