Explore our collection of 150+ developer tools, PDF editors, and image converters. Everything runs locally in your browser.
Ubify Media & Design Operations
UI/UX & DIGITAL MEDIA SPECIALISTS
About This Tool
Calibrating 3D printer axes and CNC linear carriages requires matching firmware steps-per-millimeter or Klipper rotation distance to physical drive mechanics. An incorrect configuration results in dimensional inaccuracy, print scaling errors, and motor overcurrent. This calculator computes exact `steps_per_mm` for Marlin, RepRap, and Repetier firmware, alongside `rotation_distance` for Klipper configurations.
### Mathematical Formulation The calculator determines linear displacement per step pulse using drive transmission geometry: - **Full Steps per Revolution**: `360 / Step Angle`. A standard 1.8° stepper motor requires 200 full steps per revolution; a 0.9° precision motor requires 400 full steps. - **Timing Belt Transmission (GT2)**: With standard 2.0 mm pitch GT2 timing belts, linear distance per motor revolution equals `Pulley Teeth × 2.0 mm`. For example, a 20-tooth pulley yields `20 × 2.0 = 40.0 mm` rotation distance. - **Lead Screw Transmission (T8)**: Rotation distance equals the lead screw pitch or lead advance per revolution (such as 8.0 mm for standard T8x8 four-start screws, or 2.0 mm for T8x2 single-start screws). - **Marlin Steps/mm**: `(Full Steps × Microstepping) / Rotation Distance`. - **Klipper Rotation Distance**: Directly equals the linear circumference or pitch distance traveled in one full motor revolution (e.g., `rotation_distance: 40` for 20T GT2).
### Worked Calibration Example Configure a standard 3D printer X-axis with a **1.8° stepper motor** (200 full steps), **1/16 microstepping**, and a **20-tooth GT2 pulley** (2.0 mm pitch): - **Rotation Distance**: `20 teeth × 2.0 mm = 40.0 mm` - **Total Microsteps per Revolution**: `200 × 16 = 3,200 microsteps` - **Marlin Steps/mm**: `3,200 / 40.0 = 80.00 steps/mm` - **Marlin G-code Command**: `M92 X80.00` - **Klipper printer.cfg Syntax**: `rotation_distance: 40`, `microsteps: 16`, `full_steps_per_rotation: 200`
### In-Browser Execution All mechanical transmission ratios, microstepping products, and configuration strings are computed locally in your web browser. No printer profiles or machine settings leave your device.
How to Use
- 1
Select your motor step angle: 1.8° (200 full steps) or 0.9° (400 full steps).
- 2
Choose your stepper driver microstepping configuration (typically 16 for silent TMC2208/TMC2209 drivers).
- 3
Select your drive mechanism: GT2 Timing Belt (specifying pulley tooth count) or Lead Screw (specifying thread pitch in mm).
- 4
Copy the generated Marlin steps/mm value or Klipper rotation_distance parameter directly into your firmware configuration.
Frequently Asked Questions
What is the standard steps/mm for an Ender 3 X/Y axis?
A stock Ender 3 uses a 1.8° motor (200 steps), 16 microsteps, and a 20-tooth GT2 pulley (40 mm circumference), resulting in exactly 80.0 steps/mm ((200 × 16) / 40 = 80).
How does Klipper rotation_distance differ from Marlin steps/mm?
Marlin configures steps per linear millimeter including microstepping. Klipper separates mechanics from driver electronics, configuring the physical millimeters traveled per full revolution (rotation_distance) independently from driver microstepping.
How do I calculate steps/mm for a T8x8 lead screw on the Z axis?
A standard T8x8 lead screw advances 8 mm per revolution. With a 1.8° motor (200 steps) and 1/16 microstepping: (200 × 16) / 8 = 400.0 steps/mm.