I’ve experimented a good bit with various cleaning methods & solutions.  The methods are discussed in an article I posted some time ago ( (You need to Login or Register to view media files and links) More recently I’ve tried some cleaning solution with ceramic media in a Thumlers Tumbler Model B with the general results noted below.  

Lemi Shine powder dishwashing detergent booster - Found at grocery stores, Walmart, Amazon.com, etc.  $5 to $6 for a 12 oz bottle.
I tried it with & without a squirt of Dawn detergent.  When comparing the results with other solution it did not work very well with or without the Dawn.  I don’t remember the Lemi Shine to water amounts but I tried a few different concentrations.

Strat-O-Sheen powder burnishing solution – 5 lbs available from (You need to Login or Register to view media files and links) for $26.25 + 12.45 shipping.  Figuring 3 oz per tumbler comes out to 27 cleanings at $1.43/cleaning.
I used 3 oz to 1 gal of water and tried it with & without a squirt of Dawn detergent.  It worked OK without the Dawn, but with a squirt of Dawn it worked great.  The cases were cleaned fast & they came out very clean and shinny, including the primer pockets.

Dave Maurer’s Shooter 2 liquid cleaning/polishing compound – Available from Shiloh Sharps ( (You need to Login or Register to view media files and links)) or directly from Dave Maurer (517-669-9801), dkittydave@aol.com.  About a year ago I purchased two 1-quart bottles from Dave for $30 + $12.65 shipping.  Shiloh’s price for 2 quarts is $34.00 + $17.16 shipping.  Figuring 1/2 oz per tumbler comes out to a little over $0.33/cleaning
Works great using 1 teaspoon (1/2 oz) of the concentrated solution per tumbler.  I’d rate it almost as effective as the Strat-O-Sheen/Dawn & is a little easier to use.

Scrubbing Bubbles liquid bathroom cleaner – Found at grocery stores, Walmart, Amazon.com, etc.  $4 to $6 for a 32 oz bottle.
I have not tried it but read reports from others that it works great when using 1 oz or so in a tumbler – Found at grocery stores, Walmart, Amazon.com, etc.  $4 to $6 for a 32 oz bottle.

Having run out of room here, see further comments below.

Wayne

have not tried ceramic yet - hope to, especially with thin turned necks.

With pins I use two tablespoons of Dawn and 1/4 tsp (usually heaping) of Lemi Shine.   Tumble for at least an hour and primer pockets are fairly clean but for some residue around the bottom edges - enough shine from the bottom of the brass to show a case is charged or not.    That is an extra safety feature if loading light loads of smokeless.

I use ceramic media in my tumbler also. Find the smaller media does a better job of cleaning inside the primer pockets. I haven't used anything other than dishwashing soap in mine.

Bought mine on Fleabay. But most rock shops and some craft stores also carry it. I bought the ceramic in cylindrical shapes, with rounded ends. Some is round balls, and some is cut off at sharp angles. I thought the sharp angles could clean well, but might scratch cases.
Here's one that combines both cylindrical and round media:
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my main ceramic media, used mostly for BP cases like 40-65
40 -72,etc is 3mm triangular x3mm long. Have used it now for the last probably 10 yrs. It does not wear out. 
And it does not scratch cases. 
I do also have some smaller spherical ceramic media I use for smaller cases. Works well, too,cleaning the cases, even 25-20s inside and out, tho it does not clean out the primer pockets as well as the triangular media. (the triangular media would jam in the smaller cases)
beltfed/arnie

OK Wayne. Makes sense to mix in the s.s. pins. Where do I obtain them and what proportion mix would you suggest? Sounds ideal for me as I shoot .32-20CPA & .25-20WCF. Thanks. Ray

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Kramer K-Polish Triangles 3mm
Strat-O-Sheen burnishing solution
Squirt of Dawn
Squirt of Scrubbing Bubbles

Ceramic media or SSpins. you will like them.
Esp for BP case cleaning. That is where I got started with 
the ceramic. Just have not got around to trying some of the SS Pins.
beltfed/arnie