Because you cannot get the incorrect notion out of your system that noise is a function of ISO setting and that the same ISO on differently-sized sensors results in a similar amount of noise. ISO 100 on m43 results in a vastly different amount of noise than ISO 100 on FF would. The question is really why you would not change ISO when changing sensor sizes? You change focal lengths when you change sensor sizes, why would you also not change the ISO setting? Changing the focal length (when changing sensor size) allows you to keep the AOV constant, changing the ISO setting allows you to keep the shot noise constant.I realize you love that stuff but the disagreement is this:Equivalence in 10 bullets:FWIW, equivalence is a poorer explanation than the explanation without equivalence, IMHO.
Neither the focal length nor the f-ratio of a lens change as a function of sensor (for example, a 50mm f/1.4 lens is a 50mm f/1.4 lens, regardless of the sensor behind the lens). However, the effect of both the focal length and the relative aperture (f-ratio) on the visual properties of the photo very much depend on the sensor, and scale in direct proportion to the size of the sensor.
In short, 25mm f/1.4 on mFT (4/3) is equivalent to 50mm f/2.8 on FF (FX), where "equivalent to" means:
Now your turn to post your superior explanation not making use of Equivalence.
- The photos all have the same diagonal angle of view (25mm x 2 = 50mm) and aperture diameter 25mm / 1.4 = 50mm / 2.8 = 18mm).
- The photos all have the same perspective when taken from the same position.
- The photos all have the same DOF (as well as diffraction softening) when they are taken from the same position with the same focal point and have the same display size.
- The photos all have the same motion blur for the same exposure time (regardless of pixel count).
- The same total amount of light falls on the sensor for the same scene, DOF, exposure time, lens transmission (e.g. if the 25mm lens is t/1.6 at f/1.4 and the 50mm lens is t/3.2 at f/2.8), and vignetting.
- The same total light falling on the larger sensor will result in a lower exposure than the smaller sensor (the same total light over a larger area results in a lower density of light on the sensor).
- The larger sensor system will use a concomitantly higher ISO setting for a given brightness on the LCD playback and/or for the OOC (out-of-the-camera) jpg due to the lower exposure (keeping in mind that the ISO setting affects noise only inasmuch as higher ISO settings result in less electronic noise than lower ISO settings -- e.g. a photo "properly exposed" at f/2.8 1/100 ISO 1600 will have less noise than a photo of the same scene at f/2.8 1/100 ISO 200 pushed to the same brightness).
- The same total light will result in the same noise if the sensors record the same proportion of light falling on them (same QE) and add in the same electronic noise, regardless of pixel count and ISO setting, keeping in mind that the electronic noise matters only for the portions of the photo made with very little light.
- If the 25mm lens at f/1.4 is twice as sharp (lp/mm) as the 50mm lens at f/2.8, the sensors have the same number of pixels, and the AA filter introduces the same blur, then all systems will also resolve the same detail (lw/ph).
- Other elements of IQ, such as bokeh, color, distortion, etc., as well as elements of operation, such as AF speed/accuracy, size, weight, etc., are not covered in this use of the term "equivalent".
You think changing ISO setting makes lens equivalent; I think because you need to change the ISO setting, lens are not equivalent.