Plus/Minus Cylinder Conversion Calculator

Transpose Cylinder Prescription Formats


Convert Prescription into (+) or (-) Cylinder

OD

OS

How To Convert Between Plus and Minus Cylinder

The Importance of Accurate Cylinder Conversions

Plus and minus cylinder formats describe the same refractive error but record cylinder differently. Precise transposition prevents lab fabrication mistakes, charting confusion, and communication errors between clinicians and optical partners, protecting visual quality and patient comfort.

Converting Plus Cylinder to Minus Cylinder

Follow three simple steps for accuracy:

  • Adjust Sphere: New Sphere = Old Sphere + Old Cylinder. Example: +2.00 with +1.00 cyl → +3.00 sphere.
  • Reverse Cylinder Sign: +1.00 cyl becomes -1.00 cyl.
  • Rotate Axis 090°: 180° becomes 090° (keep the axis within 001-180).

Reverse these steps to convert from minus to plus cylinder form.

Consistency Across Prescription Formats

Correct transposition preserves intended optical power and axis, ensuring uniform results regardless of notation. This is critical for higher astigmatic powers and complex prescriptions where small errors can cause blur, headaches, or eyestrain.

Clinical Significance and Best Practices

  • Standardization: Match the format required by your EHR, lab, or regional norms (often minus cylinder).
  • Axis Check: Normalize the final axis between 001 and 180 degrees.
  • Sign Integrity: Reconfirm both sphere and cylinder signs after math.