Yeast starter time question

Growing yeast from a slant is not a single step process.  It requires one to two steps of growth before inoculating a 1L starter.  The standard step ratio is 10:1, that is, 10 milliliters of autoclaved 1.020 wort is inoculated aseptically from a slant.  That culture is stepped to 100 milliliters, which is used to inoculate a 1L starter. Each step requires an incubation period.  I am confident enough with my process at this point that I start by inoculating 40 milliliters of wort that has been autoclaved in a 100ml media bottle. I then step this culture to 600 milliliters, which is a 15:1 increase in volume.

40 milliliters of autoclaved wort in a Corning 1395 100ml media bottle