Prescription Transposition

OPTICAL PRESCRIPTION TRANSPOSITION

Minus Cylinder Form




Plus Cylinder Form




Created by Luminista.

Optical Prescription Transposition – Convert Plus and Minus Cylinder Prescriptions Instantly

Interpreting an optical prescription can be tricky, especially when working with plus and minus cylinder notation. Some prescriptions are written in minus cylinder form, while others use plus cylinder form, depending on regional preferences and optical practices. If you need to switch between the two, our Optical Prescription Transposer makes it easy – providing instant, accurate calculations based on the same refractive power.

How Does Cylinder Notation Work?

Optical prescriptions include three key values for each eye:

  • SPH (Sphere): The overall lens power needed to correct nearsightedness (-) or farsightedness (+).
  • CYL (Cylinder): The correction needed for astigmatism, which affects how light focuses on the retina.
  • Axis: A value between 1° and 180° that defines the orientation of the astigmatism correction.

  • When converting between minus cylinder form (used by most optometrists) and plus cylinder form (common in ophthalmology), the calculation follows a specific formula:
  • New SPH = Old SPH + Old CYL
    New CYL = -Old CYL
    New Axis = Old Axis ± 90°

    For example, if your prescription is:
    SPH -2.00 / CYL -1.50 x 180,

    it would transpose to:
    SPH -3.50 / CYL +1.50 x 90.

    transposition explainer detail

    Why Use the Optical Prescription Transposer?

    • Instant, bidirectional conversion between plus and minus cylinder notation
    • Accurate calculations following standard optical formulas
    • Eliminates human error when transposing prescriptions manually
    • Useful for opticians, optical professionals, and patients wanting clarity 

    This tool ensures you always have the correct notation, whether you’re reading a prescription, ordering lenses, or verifying optical data.

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