So we have a monologue and a soliloquy.
Monologue - Long speech by a single character revealing private thoughts and feelings
Soliloquy - a character relates thoughts / feelings to him/herself and the audience often when alone.
The difference between the two is that a soliloquy is personal, the other characters cannot hear it.
I want to say that a long, uninterrupted speech by a character in a play, story, or poem or a monologue.