How can I, by analog means, use a single-pole multi-position rotary switch to both mimic a 100 kΩ logarithmic pot AND progressively / evenly light a circle of LED position indicators from 1 to X and then back to 1 (rotary switch goes back to 1 after X)? Pretend the diodes surround the rotary switch and will indicate movement of the switch until all are lit.
To complicate matters, I'd like to use some Edgelec common cathode tri-color LEDs which are R-G-B constant lighting (Red: DC 2.0 - 2.2 V; Blue & Green: DC 3.0 - 3.2 V (IF = 20 mA) / 0.06 Watts / 2-pin / DIP LEDs) so it is a cathode with 3 anodes in one component.
I would like to have the first third light up the blue LED, then switch over all bulbs to the green LED for the 2nd third also switching the first positions from blue to green, and similarly for the final third of the rotation all LED lights switch to red.
As a resource: https://learn.sparkfun.com/tutorials/rotary-switch-potentiometer-hookup-guide/all and: https://cdn.sparkfun.com/datasheets/BreakoutBoards/Rotary_Switch_Potentiometer_v10.pdf
By using resistors to step gain up in 6db increments, I believe that using the rotary switch I can replicate the behavior of an analog logarithmic pot. My goal is to create a stepped 100 kΩ logarithmic rotary pot for use as a master volume control on a 4-channel, powered, miniature summing mixer which has a preamp, a 4 in to 1 out mixer, and a power amp section - each driven by one of three 4580 op amp chips. Each of the 4 inputs has its own volume control, but there is no master volume.
I already have some single-pole, 8-position rotary switches
https://www.adafruit.com/product/2925
but I am considering replacing them with 12-position switches to have a finer degree of gain adjustment. The mixer is powered by 12 Vdc so that will be my source.
https://www.amplifiedparts.com/products/switch-rotary-1-pole-12-positions-14-shaft
Since in theory, however many positions are on the switch, it should be the same logic which supports or disqualifies the possibility of achieving the desired result. I suppose using the 8-position as frame of reference would be best - but that is to say I am undecided on which switch will ultimately be used, so more a general understanding of "is there a way to do both with one switch" is the gist of the question.
Unfortunately, I am overambitious and under-educated so please be gentle.
As for lighting the LEDs with a rotary switch in the simplest manner possible, I am referencing this Stack Exchange post:
wire rotary switch with leds that turn one at a time
I do realize that my questions have very little to do with that answer, it's simply a frame of reference. Thanks for your patience. Please explain any answer as though Homer Simpson was your target audience.