Dunno, but what I did/do with each new piece of gear is to start with the basics, and try to understand the controls, what each does, how it interacts, etc. to start to learn how to shape the tone. IMO, getting good with eq (GEQ, PEQ) is a basic skill. Search the internet on guitar eq, here's an example for recording...I haven't verified the content but skimming through looked ok?
http://www.recordingwebsite.com/articles/eqprimer.php
Also, try to identify (as others have said) the equipment used and the tonal characteristics. Fuzz is a good example, IMO as there are different categories of fuzz, one of which is Muff (the one I like), but muff fuzz will be tough to get Tone Bender or Fuzzface tones, etc. out of it.
With the 11R, I would pick a clean amp setting, then try the gain settings and/or the od/dist pedal models / controls so you get an idea of what each one sounds like and the tonal ranges provided by each. Compare amp models with the same neutral tone settings (all nooned for example) to compare and contrast the diffs... over time, I think many expert players can dial in the sound on anything because they know how to tune the sound they hear to the sound they want (or hear in their heads) seeming automagically. FWIW, I was able to do this with my old ADA gear back in the day because I spent a boatload of time exploring the sonic possibilities of my MP-1, then MP-2....I was able to dial in a preset pretty quickly, and pretty much nail what I was going for (for the most part).
Over time, you can start to dissect the tones you are hearing and map them to your gear to get close, or identify what is missing or what you need to do (different amp, speakers, tubes, pedal, etc.) to get you closer.
My $0.02 worth. Knowing, almost instinctively, how your gear controls work, interact and affect each has on the others to define the tone is not impossible, but for many of us, it takes a good deal of work and effort...and still you may come up short...keep at it and it will come.