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THE FEUTEX TOOLKIT

Fret Position and Adjacent Spacing

Calculate theoretical equal-tempered fret position from scale length.

Music workspace● Runs in your browser
01 Your input
02 Your result
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FormulaFrom nut = scale*(1-Math.pow(2,-fret/12)); To next = scale*(Math.pow(2,-fret/12)-Math.pow(2,-(fret+1)/12))
Sources and model references

Made for real tasks

  • Calculate theoretical equal-tempered fret position from scale length.
  • Compare two scenarios by changing the inputs and rerunning the tool.
Explore step-by-step workflows →

Worked example

Inputs

Scale
648 mm
Fret
12 fret

Expected results

From nut
324 mm
To next
18.18472269 mm

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter scale, fret.
  2. Use consistent units shown beside each input. Run the calculation and review the assumptions below.

Try this example

{
  "scale": 648,
  "fret": 12
}

Accuracy and scope

Theoretical fret placement only; no bridge compensation, manufacturing tolerance or setup allowance.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.