3D Printing Calculators

FDM calibration & firmware

Z-Axis Optimal Layer Height

Z microstepping is cheap torque. Layer heights that land on full-step positions of the lead screw tend to look more even. This snaps your wanted layer to the nearest whole-step multiple (at least one full step).

Inputs

Units
mm

Results

Full-step height
0.04000mm
Nearest full-step layer
0.20000mm
Full steps per layer
5.00
Distance from desired
0.00000mm

Recommended gear

Calculation method

Full-step travel is lead divided by full steps per revolution, and full steps per revolution is 360 / step_angle. For a 1.8° motor on an 8 mm lead that is 8 / 200 = 0.04 mm. The suggested layer is the desired height rounded to the nearest integer multiple of that full step, never below one full step. Error is the absolute difference between desired and snapped height. Layer height toggles to inches; lead and step angle are discrete millimetre/degree choices.

Exact formula

full_step_mm = lead_mm / (360 / step_angle) = lead × step_angle / 360. nearest = round(desired / full_step) × full_step, minimum one full step. error = |desired − nearest|. Limits: Uses full-step pitch only (microstepping ignored). Does not fix a bent screw, loose coupler or racked gantry.

Nozzle still limits height

A 0.4 mm nozzle does not want 0.4 mm layers even if they are full steps. Check the nozzle vs layer tool.

Frequently asked questions

Why 0.20 mm on TR8×8?

0.20 mm is exactly five 0.04 mm full steps. 0.16 mm is four. 0.12 mm is three. Those are the usual “magic” layers.

Does 16× microstepping change this?

No. Full-step geometry is the motor and screw. Microstepping interpolates between those positions.

Belt-driven Z?

Use the belt pitch and pulley teeth to get millimetres per full step, then treat that as “lead” only if you do the conversion yourself. This page is for screws.

Will this remove Z banding?

It can reduce one periodic component. Crooked screws still print ripples at the lead pitch.

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