How is the d/1500 circle of confusion rule derived, and how can I adjust it for different print sizes or viewing distances?
Asked 11/12/2021
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I understand the basic circle of confusion idea, but I want to know where the common d/1500 rule comes from for 35mm/full-frame and how to change it for my own conditions. I’ve read that it assumes roughly an 8×10 inch print viewed from about 10 inches, but I’d like a practical way to recalculate the denominator when print size or viewing distance changes. How do print diagonal, enlargement, viewing distance, and human visual acuity relate to the standard d/1500 approximation?
Originally by Photography Stack Exchange contributor. Source · Licensed CC BY-SA 4.0
Photography Stack Exchange contributor
4y ago
2 Answers
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The 1500 is a bit arbitrary. The idea is that the bigger the print the farther away it is. In other words to look at a whole image comfortably you hold it/stay at a distance such that the viewing angle of the diagonal is always around 60°.
The human eye can, in ideal condition, and at the center of the field of view, distinguish about half a minute of arc, so that would be 1/7200th of a 60° angle of view, but in practice a visual acuity of 2' of arc is used which leads to 1/(60*30)=1/1800th of the diagonal.
Originally by user75947. Source · Licensed CC BY-SA 4.0
user75947
4y ago
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The d/1500 rule is a practical convention, not a fundamental constant. It assumes a “standard” final viewing condition: roughly an 8×10 inch print, viewed from about 10 inches, with normal human visual acuity.
Why 1500? The idea is that blur on the sensor/film gets enlarged in the print, then judged by the eye at a typical viewing distance. A common visual-acuity standard is about 2 minutes of arc, which leads to an allowable blur on the final image of roughly 1/1800 of the print diagonal. In practice this is often rounded into the familiar d/1500 rule.
To adapt it, scale the CoC by:
- print diagonal relative to the standard 8×10 diagonal (12.8 in / 325 mm)
- standard viewing distance relative to your actual viewing distance
So, starting from the standard CoC: new CoC = standard CoC × (new print diagonal / 325 mm) × (254 mm / new viewing distance)
Implications:
- Larger print: smaller acceptable CoC on the sensor
- Greater viewing distance: larger acceptable CoC
- Closer viewing distance: smaller acceptable CoC
So the “1500” is just a shorthand for specific assumptions about enlargement, viewing distance, and eyesight.
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