The first numbers were before you wanted make up gain included.
You are still wrong in your interpretation of how a compressor with a sidechain filter behaves
Do you agree with the following statements which describe how a compressor with a sidechain filter works?
A) The sidechain filter is not in the audio path from input to output.
B) Gain reduction as determined by the detector is applied equally across the spectrum.
C) Make up gain is applied equally across the spectrum.
In this one you state your compressor capriciously behaves like a buffer for the 41Hz and as a compressor for the 82Hz, arbitrarily taking out the makup gain stage for the “buffer behavior” and introducing it again for the “compression behavior”... all these at the same time.
Incorrect interpretation. Both are reduced by the gain reduction and then increased by the make up gain. Having the calculated gain reduction and make up gain be the same was a very poor choice for the illustration. My bad.
Let's try this again. Please specify some arbitrary numbers for the following.
1) Frequency A at amplitude x
2) Frequency B at amplitude y
3) Threshold
4) Compression ratio
5) Make up gain
We will assume the following.
1) The sidechain filter is a perfect HPF
2) Frequency A is below the HPF cutoff frequency
3) Frequency B is above the HPF cutoff frequency
4) Hard knee compression
I will write out all the math for you.