Free · Measurement and planning

Equal Temperament Fret Positions

Find distances from the nut to all 27 fret positions for an ideal twelve-tone equal-temperament instrument.

Calculator inputs

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Enter the known values in the units shown. Results update as you type.
Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
Use the worked example to check the method. Reset restores the starting fields.

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

For the worked example, distFret12 = 320.0000000, distFret24 = 480.0000000.

Distance from nut to fret n = scale length × (1 − 2^(−n/12)).

Enter these known values and leave the other values blank.

Twelve-tone equal temperament and ideal vibrating string length.
Distances are measured from the nut, not from the previous fret. Allow separately for compensation, fret thickness and instrument construction.
Results follow the stated ideal arithmetic model. Display rounding does not change the underlying calculation.
Supply sufficient known values and leave the desired quantity blank. Controls retain captured inverse branches and units.
If a retained lock prevents a reverse calculation, unlock the quantity you want to solve before supplying the known values.

Distance from nut to fret n = scale length × (1 − 2^(−n/12)).

Available selectors convert the entered physical quantity. Use compatible units for all related quantities.

A missing input, invalid denominator or underdetermined relationship cannot provide a unique finite result.

Use exact-sign physical domains, exact discrete counts where applicable, and documented model bounds. Source arithmetic is preserved.