Home Back

How To Calculate Fret Spacing

Fret Spacing Formula:

\[ d_n = S \times (1 - 2^{-n/12}) \]

inches
fret

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Fret Spacing?

Fret spacing refers to the precise distance between frets on a stringed instrument like a guitar. The spacing follows a precise mathematical relationship to ensure proper intonation across the fretboard.

2. How Does the Calculator Work?

The calculator uses the fret spacing formula:

\[ d_n = S \times (1 - 2^{-n/12}) \]

Where:

Explanation: The formula calculates the position of each fret based on the twelfth root of two (≈1.05946), which divides the octave into 12 equal semitones.

3. Importance of Accurate Fret Spacing

Details: Precise fret spacing is crucial for proper intonation. Even small errors in fret placement can make the instrument play out of tune, especially higher up the neck.

4. Using the Calculator

Tips: Enter the instrument's scale length (typically 24.75" for Gibson, 25.5" for Fender) and the fret number you want to calculate. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why does fret spacing get smaller as you go up the neck?
A: The spacing follows a logarithmic scale to maintain equal musical intervals between frets, resulting in progressively smaller distances.

Q2: Does string gauge affect fret spacing?
A: No, fret spacing is purely a function of scale length. However, string gauge affects intonation adjustments at the bridge.

Q3: How accurate must fret spacing be?
A: Professional luthiers aim for accuracy within ±0.002 inches for optimal intonation.

Q4: Can I use this for bass guitars?
A: Yes, the same formula applies regardless of string count or tuning, as long as you use the correct scale length.

Q5: What about multiscale/fanned fret instruments?
A: Each string has its own scale length in multiscale designs, requiring separate calculations per string.

Fret Spacing Calculator© - All Rights Reserved 2025