Exposure Slit Method
Kodak used to recommend a single 60 second exposure with a cardboard covering the print for varying times. Thus the portion of the strip exposed for the full 60 seconds would be darkest and each of the sections would recieve 10 seconds less exposure...
PE
When I was recently performing calibration tests of preflashing paper negatives, for use in pinhole and alternative lens cameras, I came to the realization that the method you refer to here, which I have used for years in making test exposures for prints, is basically flawed.
Let's say I set the timer for 60 seconds, and uncover each additional section of the strip at the '10 second' mark; i.e. the strip gets successively uncovered at the :50, :40, :30, :20, and :10 marks. Then, let's say I find that the strip corresponding to 20 seconds is my preferred exposure time, so I set the enlarger timer for 20 seconds. Well, when the test strip was made, the enlarger bulb had been on and warming for 40 seconds prior to this section of the test strip being exposed, but when I make my print, the bulb starts the 20 second exposure cold. This essentially reaffirms what others have indicated regarding lamp warmup time.
I found this to be a significant source of error when attempting to find the shortest time that shows a measurable density change on my grade 2 RC paper negatives (i.e. my preferred preflash time).
So what I now do is use an opaque card with a long, narrow slit cut lengthwise, whose width is equal to each test strip section. Now, I set the time for 10 seconds, and expose the 10 second section; then I set it for 20 and expose the 20 second section, etc. The remaining areas of the test strip are not exposed, except during their respective times when the slit overlaps these areas, and the once-exposed areas are not additionally exposed when the remaining sections are.
I don't believe this method is what others are referring to as the 'f/stop' enlarging method, since my time increments are linear rather than logarithmic, but it seems to be accurate for me, and eliminates errors introduced by lamp warmup time. It also seems likely that the issue of lamp warmup time is completely seperate from that of logarithmic exposure times; i.e. it's possible to mess up an 'f/stop' exposure system and not take into account lamp warmup time, as my exposure slit method does.