You can actually get about 6-7 bits resolution out of same SID volume register. 4 bits from the volume register, channel 3 disable and 3 filter bits. Requires some setup to get SID in a particular state first.
I was just wondering tonight, while lying awake, if you could get more depth by either using the other voices (probably not) or the filter. Now this paper and the demo are so cool, really made my day.
For details, see: https://livet.se/mahoney/c64-files/Musik_RunStop_Technical_D...