Free · Measurement and planning

Map Vertical and Horizontal Scale

Compare vertical and horizontal scale denominators from real and drawn dimensions. The output is the reciprocal of physical vertical amplification.

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, vertical_scale = 100.0000000, horizontal_scale = 1000.000000, vertical_exaggeration = 0.1000000000.

Captured scale ratio = (vertical actual/vertical drawing)/(horizontal actual/horizontal drawing).

Enter these known values and leave the other values blank.

The retained output is the ratio of scale denominators. It is the reciprocal of the usual physical vertical amplification.
For denominator scales 1:100 vertically and 1:1000 horizontally, this output is 0.1 while physical vertical amplification is 10.
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.

Captured scale ratio = (vertical actual/vertical drawing)/(horizontal actual/horizontal drawing).

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.