Take 45, 47, 33, 36, 56, and 59 as first examples of the numbering scheme
The first digit, "4", pertains the diameter of the end drive gears, that being 4" for the 45 and 47, 3" for the 36 and 33, 5" for the 56 and 59, and so on.
The second digit in the Roots Universal numbering system pertains to the blower lobe width. 5" for the 45, 7" for the 47, 9" for the 59, and so on.
The Tuthil numbering system using numbers like 4005, 4007, 3006, use the first digit and the last digit to explain the same thing.
Gardner Denver does not use the numerical scheme except for the first digit, signifying the blower gear diameter. For example, a 3L blower uses a 3" drive gear, and the L signifies that it is the "low Pressure" version, being that with the widest lobe in that class. (the wider the lobe, the lower the pressure capability for any given gear size)
Examples using the 4" drive gear size class
Gardener Denver (only):
4L = 4" drive gear, Low Pressure(high volume) lobe width (7" in this case)
4M = 4" drive gear, Medium Pressure(medium volume) lobe width (5" in this case)
4H = 4" drive gear, High Pressure(lowest volume) lobe width (2" in this case) -size not used for carpet cleaning equip)
Roots (only):
47 = 4" drive gear, Low Pressure(high volume) lobe width (7" in this case)
45 = 4" drive gear, Medium Pressure(medium volume) lobe width (5" in this case)
42 = 4" drive gear, High Pressure(lowest volume) lobe width (2" in this case) -size not used for carpet cleaning equip)
Tuthil (only):
4007 = 4" drive gear, Low Pressure(high volume) lobe width (7" in this case)
4005 = 4" drive gear, Medium Pressure(medium volume) lobe width (5" in this case)
4002 = 4" drive gear, High Pressure(lowest volume) lobe width (2" in this case) -size not used for carpet cleaning equip)