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THE FEUTEX TOOLKIT

Capo Pitch and String Length Ratio

Calculate the equal-tempered pitch rise and vibrating length fraction at a capo fret.

Music workspace● Runs in your browser
01 Your input
02 Your result
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FormulaFrequency = open_hz*Math.pow(2,fret/12); Length = scale/Math.pow(2,fret/12); Capo distance = scale-scale/Math.pow(2,fret/12)
Sources and model references

Made for real tasks

  • Calculate the equal-tempered pitch rise and vibrating length fraction at a capo fret.
  • Compare two scenarios by changing the inputs and rerunning the tool.
Explore step-by-step workflows →

Worked example

Inputs

Fret
5 frets
Scale
650 mm
Open hz
110 Hz

Expected results

Frequency
146.832384 Hz
Length
486.9498 mm
Capo distance
163.0502 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 fret, scale, open hz.
  2. Use consistent units shown beside each input. Run the calculation and review the assumptions below.

Try this example

{
  "fret": 5,
  "scale": 650,
  "open_hz": 110
}

Accuracy and scope

Ideal equal temperament and no string stretching; does not identify chord shapes or instrument intonation.

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.