a ram, or the ram's-horn trumpet made from its horn and used to sound a long, carrying blast
This is the older, concrete sense of the word. In the earliest texts it names either the animal itself or the horn taken from it and turned into a signaling instrument. When Israel gathered at Sinai, the people could approach the mountain only once this horn sounded a long blast (Exodus 19:13). At Jericho, priests carried these horns around the city for seven days, and on the seventh the long blast brought the walls down (Joshua 6).
The word sits beside two close relatives. A shofar is the finished trumpet; a keren is the horn of any animal. This word points to the source: the ram, or its horn as the raw material the trumpet is made from. The phrases in Joshua make that plain, naming the trumpets as belonging to these animals and calling one instrument the horn of the ram.
From this concrete instrument the word took on a second life. Because the fiftieth year was announced across the land by a long blast of this very horn, the year itself came to be called by the horn's name, which is the second meaning below.