Not getting the finish I want from vibratory finish.

[savarin]

Tumbling rocks and such I used differing grades of carborundum grit, 80, 120, 240, 800, and I think 1200. It was a long process but the shine was brilliant (pun intended).
For silver I had stainless shot of weird shapes and lindeman A, water and a dash of detergent. Excellent results.
Of course this was in the 80's so I would expect there is better stuff around now.

 

[Boswell]

prob Lime Shine

I'm not familiar with Lime Shine. for the brass that I tumble polished, I used
Sunsheen Deburring Compound #339-307
Sunsheen descaler #339-391

for media, I used (in order) about 4 hours of tumbling with each batch and 5 hours for the last batch with the SS shot.
Ceramic Grinding Media Green Fine Cut #339-400
Ceramic Aluminum Oxide Cylinder Media #339-416
Porcelain Burnishing Media #339-161/5
Ceramic Mixed Polishing Media #339-071
Stainless Steel Shot Mixed #339-097

 

[Ulma Doctor]

steel shot, carborendum dust, sand , ceramic media can all be used as tumbling/vibratory media
add a bit of soapy water to the mixture for finer appearance