When you're eloquent, you have a way with words. An eloquent speaker expresses herself clearly and powerfully. ... A great orator or speaker like Martin Luther King was eloquent. When something is beautifully, gorgeously, perfectly said (or written), it's eloquent.
Especially in the days before audio recording and playback, music was often written out as a means of preserving and communicating it. To do this, a system of notation was developed that gives musicians the information they need to play music as the composer intended it.