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THE FEUTEX TOOLKIT

String Retuning Tension Ratio

Estimate relative string tension when changing pitch without changing the string or scale length.

Music workspace● Runs in your browser
01 Your input
02 Your result
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FormulaRatio = Math.pow(new_hz/old_hz,2); New tension = old_tension*Math.pow(new_hz/old_hz,2)
Sources and model references

Made for real tasks

  • Estimate relative string tension when changing pitch without changing the string or scale length.
  • Compare two scenarios by changing the inputs and rerunning the tool.
Explore step-by-step workflows →

Worked example

Inputs

Old hz
110 Hz
New hz
98 Hz
Old tension
70 N

Expected results

Ratio
0.7937190083 ×
New tension
55.56033058 N

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 old hz, new hz, old tension.
  2. Use consistent units shown beside each input. Run the calculation and review the assumptions below.

Try this example

{
  "old_hz": 110,
  "new_hz": 98,
  "old_tension": 70
}

Accuracy and scope

Ideal flexible string, fixed length and linear density; not a safe-tension recommendation for an instrument.

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.