1. What is the StewMac Fret Formula?

The StewMac fret formula calculates the distance from the nut to any given fret position on a stringed instrument. This method is widely used by luthiers and guitar builders for precise fret placement.

2. How Does the Calculator Work?

The calculator uses the StewMac fret formula:

Where:

• \( d_n \) — Distance from nut to nth fret (inches)
• \( S \) — Scale length (inches)
• \( n \) — Fret number (dimensionless)

Explanation: The formula calculates fret positions based on the 12th root of 2, which divides the octave into 12 equal semitones.

3. Importance of Accurate Fret Placement

Details: Precise fret placement is crucial for proper intonation across the entire fretboard. Even small errors can make the instrument play out of tune.

4. Using the Calculator

Tips: Enter the instrument's scale length (nut to bridge distance) and the fret number you want to calculate. Typical scale lengths are 25.5" (Fender), 24.75" (Gibson), or 34" (bass).

5. Frequently Asked Questions (FAQ)

Q1: Why use this formula instead of the Rule of 18?
A: The Rule of 18 is an approximation that becomes increasingly inaccurate for higher frets. The StewMac formula provides exact positions based on equal temperament.

Q2: What's the difference between this and other fret calculators?
A: This uses the exact mathematical formula that professional luthiers use, rather than approximations.

Q3: Can I use this for any stringed instrument?
A: Yes, it works for guitars, basses, ukuleles, mandolins, and any other fretted instrument.

Q4: How precise do I need to be with measurements?
A: For optimal results, measurements should be accurate to at least 0.01 inches (about 0.25mm).

Q5: Does this account for compensation at the bridge?
A: No, this calculates theoretical fret positions. Final bridge placement typically requires additional compensation for proper intonation.