Command Points, abbreviated CP, are a statistic in Dissidia Final Fantasy and some related titles. CP is a stat used to determine what abilities a character can equip.
Characters gain more Command Points as they level up, and all characters have 450 CP at Level 100. Max CP can be increased with the accessories Hero's Essence and Hero's Spirit, to a potential maximum of 510 CP.
All attacks and abilities cost some CP to equip. When an attack or ability is mastered, its CP cost decreases. A character can equip as many abilities of any type as the player wishes, at long as the total CP costs of the equipped abilities does not exceed the character's max CP. When equipping abilities and attack, if a character does not have enough CP left over to equip an ability, that ability is displayed in red and cannot be equipped.
A bar across the top of the screen displays CP consumption, colored green to denote attacks and blue to denote abilities. When an attack or ability is highlighted, the amount of relative CP it would need is displayed on the bar as a glowing white area. When an equipped ability is highlighted, the amount of relative CP it is currently taking up is noted by highlighting part of the bar red.
CP is used to determine what abilities each character can equip. As in Dissidia, they may equip whatever abilities they like as long as the total CP cost of those abilities does not exceed their max CP. All characters have a maximum of 50 CP, though each character reaches that amount at different levels, and there is no way to increase a character's max CP. Unlike Dissidia and Dissidia 012, a character cannot equip more abilities than they have ability slots, no matter how much CP they have remaining.
Neither the game nor the instruction manual actually states what CP stands for, but due to the fact that CP functions in an essentially identical way in Theatrhythm as in Dissidia, it can reasonably be assumed that it does stand for Command Points.
With regards to equipping abilities, CP functions in exactly the same manner as in Theatrhythm. However, there are some differences in the attribute itself. While it remains that case that characters' CP increases with their level up to a certain amount at level 99, there are also ways to increase a character's CP cap to 99: every time a character's level is reset, they get a boost to their maximum CP, and CP is also one of the stats that can be improved by use of the CollectaCard Crystarium.