The two cartridges on the left are copper cased center fire with no H/S. 1st is a .58 cal, 52.98mm long and the other .50 cal by 57.94. Based on my research regarding the 1873 Springfield rifle, these are probably rounds used in the various experiments with the Allin system, leading up to the adoption of the .45-70 round but that is mostly informed speculation.
The hunker (3rd from L) is a display dummy, 45-90 by UMC.
Last is an unmarked .30-40 full-form blank
Feel free to enlighten me with your wisdom. Mine is very scarce with these.