Devin B. answered 06/03/19
Hi! I'm a Music Education major at Nazareth college.
Hi. You have a very good basic understanding of these concepts, although what you have stated isn't that far off there are a few details that you are missing. In most music a tonicisation is when a piece of music enters a new key only briefly, while a modulation is when music changes key long enough for there to be a cadence, such as a half cadence or a perfect authentic cadence. A modulation often happens with the intent of staying in the new key for a longer period of time or to not return to the original key at all. I hope this helps clear things up.