Fret Spacing Formula:
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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.
The calculator uses the fret spacing formula:
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.
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.
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.
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.