A couple oddities to consider. I assume this is a page from an order book? Maybe not. The top gun on the page 10688 and the bottom gun on the page 10282 look to be vintage 1877 which corresponds to date on the top of the page. The subject gun 3130 is 1874 and the gun 7720 is 1876. Maybe both guns were returned at some point and were sold at a discount.
My intent was to decipher the words on the order page, not contradict Todd's gun. The reason I say 10 gauge is in the following picture which I stole from Josh L's listing of the Meachem guns. The 8 guns were 10 ga. 32" barrel guns. See picture.