Originally posted by RobG QuoteOriginally posted by xandos QuoteIt is not strictly legal to derive a ratio with a higher precision than the numbers used to get it. Basically, given that the last significant digit in the focal lengths is entire millimeters we can assume it is rounded to the nearest millimeter. The ratio is then somewhere between 61.5/39.5 and 60.5 and 40.5, or between 1.494 and 1.557.Legal? What laws are you referring to? Am I going to get arrested by the Maths Police?
Yes. Nobody expects the maths police.
Originally posted by RobG If I divide 1 by 3 I'll get 0.3 repeater which has a lot more digits than the source numbers. Rounding it to 0.3 or zero wouldn't necessarily make sense.
Here we can assume from context that you are using the integers 1 and 3, which are defined with infinite precision. A vertical sensor size stated to be for example 15.5mm is not necessarily defined that precisely. Its likely not 15.50000000mm, but some value between 15.45 and 15.55mm. The pixel pitch stated earlier of 3.76um for example does not fit exactly in 15.5mm. But we have no way to know if that number is precise either.
Originally posted by RobG Anyway, you're over-thinking this.
Definitely. Apologies for that, I can't help it.
Originally posted by RobG I don't know how the camera arrived at the numbers in the EXIF file. I don't know whether it rounded them, took the integer value or whatever. I simply worked with the numbers provided because I was surprised that the camera reported a different effective focal length than what was expected based on a 1.5 crop factor. I think what others have said is likely quite correct; that the sensor is a different size to the K3 sensor, so the crop factor is slightly different. I'm not getting hung up on the level of precision or anything like that.
I agree with all of that. I was also one of those people stating that the sensor size is slightly different. Not 1.5 to 1.54 different though, the crop factor of the original K-3 was closer to 1.53.
However, I think my point is still valid, especially in cases where a lens has known focus breathing. To restate that point (at the risk of being somewhat obnoxious): you can apply a crop factor of 1.54, or maybe 1.5, but unless you know well how your lens behaves, and what its focal length is as a function of distance, its not that useful. The exact effective focal length will likely be different. But as long as you take the number with a grain of salt and don't expect your 100mm to become 'exactly' 154mm regardless of the circumstances, its fine.