Soak the cylinder ?
The gentleman with the soiled cylinder might try soaking it.
I also found that by using oil to begin the cleaning process with, the tough stuff seems to loosen in the oil, and then it comes off better when the dishwater hits it. I dont know why this is. But it seems to work.
I have a stainless 1858 Rem, and it gets some weird foul around the nipples that is a real bitch to clean off. I set the cylinder in a little bit of oil - nipple side down - and I let it sit. Later, when I scrub, the foul comes off easier. I am using canola kitchen oil. I use an old vienna sausage can to soak my cylinder in. You still have to scrub, but the job seems much easier after the soaking.