Alveric wrote in post #16636209
Hm, Phil, isn't it 2.2, 2.5 and 14? At least that's what my cameras report.
Henry: To be totally, frank, I can't honestly remember other than that these figures were calculated (by me) and pre-date digital reporting by quite some time (as in decades). They also both tally with traditional Continental (ie European) reporting system and commonly marked apertures on mechanically controlled lenses. That the now-dominant English notation we take for granted these days completely supplanted the Continental system is no more than pure happenstance - each is equally valid, just starting from a marginally different base point.
I hadn't honestly looked at how digitally reported apertures sequence. Perhaps I ought to have done, given the paucity of proper cameras and proper lenses this century. Mea culpa
Truth to tell, all the figures we bandy about are more notional than precise because:
- They are all approximations based on a √2 system. The figures we use are rounded for convenience and errors are self-compounding because of this. We'd end up with apertures like f/1.41421 - f/2 - f/2.82842 - f/4 - f/5.65685 (which would 'tidy' to f/5.7) - f/8 - hence f/11.4 - etc. until f/22 suddenly becomes f/23, with alternate ones wandering further and further from the commonly used figure. Pedantry gone mad - too much for an old man to cope with. I certainly wouldn't want to be remembering
- f/stop notation strictly speaking refers to the diameter of an aperture relative to the focal length rather than light passing ability - that would be a t/stop, which also takes into account the non-100% transmission of lenses. Even here the relationship is to the diameter of a round aperture of equal area to the polygonal aperture we actually use now that Waterhouse stops have, errrm, vanished.
- That we use the term f/stop to describe light passing ability is actually a total misuse of the meaning of the term.
- Because of the mechanical nature of aperture blades physically closing down instantaneously, it's very doubtful if they ever reach other than an approximation of the same area orifice on consecutive activations. Quite some years ago now, I remember the BSI 'within tolerance' standard for mechanical apertures (ie blades opening & closing) was ±33⅓% - not exactly accurate! I've certainly observed visible differences in size between opening to f/5.6 from a smaller aperture and closing to the same setting from a larger aperture.
All in all, although I have complete faith in my calculations of yesteryear I similarly wouldn't argue specifically against alternative sequences - it could very well be that neither are truly accurate.
Anyway, the intention was to aid mental visualisation of the effect of
(for example) going from 1/1 power to 1/4 power on exposure. Shall we settle for, say, f/2 and 1 click smaller, then f/2 and 2 clicks smaller then f/2.8? Seems like a reasonable compromise. I certainly know that I can't truthfully work that accurately despite using a meter which reports in 1/10th f/stop increments.