Digging deep into my memory of classical mechanics, I think this is along the right lines. However, I believe (seem to recall) entropy is an actual measure of t

Digging deep into my memory of classical mechanics, I think this is along the right lines. However, I believe (seem to recall) entropy is an actual measure of the number of ways a system can be ordered in its details and still produce the same generalized outcome. A crystalline solid has relatively low entropy because you can be reasonably sure where each nucleus is, as they are highly ordered. A gas or plasma can have the nuclei distributed nearly randomly. Both systems can be measured generally (stochastically, or of their overall or average properties) but the number of ways you can organize all the nuclei to get those results very different between the two systems. Feel free for someone more knowledgeable to correct or expand.