This boss will be either really fun or really annoying depending on your preferences, but it follows a two part pattern each phase.
At the start of each phase, instead of fighting her directly you'll have to dodge her "Guitar Hero" style mini game, while she's immune on stage. Six columns on the floor will have colored "notes" moving down screen which you'll need to jump over to the best of your ability. Annoyingly, they can still dmg you even when they are "offscreen" at the bottom. I highly recommend using the "Frill Bra" item (obtained after defeating Hibari) which gives one extra second of invulnerability after getting hit as it will greatly help you recover from mistakes.
When the game ends she will jump down to you and deal dmg in a horizontal line across the arena which persists for a few seconds. When the speaker lights end, jump up or down to avoid this.
Don't stay near her until she finishes her combos. She will spin her guitar, and start dashing around the room, leaving a visible path. When she stops, her guitar will come back to her, following the path she drew. Additionally she summons two crazed fans that (for some reason) pursue you instead of her. They only need one hit but will chase you and dmg you on contact. They will not go away if you ignore them and if you kill them they come back on her next combo, however they can never exceed the max number for each phase.
When her guitar returns to her, she will dash a final time at which point she will stand there gloating for you to hit her.
This pattern repeats for each phase with the new changes:
-More "notes" to dodge when she's on stage
-Far more dashes for her guitar to follow before stopping
-More crazed fans summoned (four in phase 2, six in phase 3)
-Phase 2 new ability: Noize will summon two energy balls that you can only avoid until they deplete. Best to ignore all else and avoid these (she'll be busy dashing anyways)
-Phase 3 new ability: Noize can disappear and reappear at which point she'll do a ground aoe that can easily be jumped over