For those of you who would like a custom range of resistor values for cartridge loading, I've come up with an equation to help you determine the intermediate values. It uses a geometric sequence. That is, a constant multiplier between values. The formula is
k = (r5/r0)^0.2;
or you divide the final value by the initial value, and then raise to the power of 1/5th. For example, if you want a range from 20 ohms to 200 ohms, then we get k = 1.585. We use this as
r(n+1) = r(n) * k;
or to get the second value, multiply 20 * 1.585. The sequence (for this example) is thus
20
31.70
50.24
79.62
126.2
200
And the closest 1% resistor values would be
20R0
31R6
49R9
78R7 or 80R6
127
200
jh