You must collect Casting Flame Feathers, Odin's Soul Jade LV9, and Primal Essences to get a Scarlet Phoenix Heart from Rydan.

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Introduction

The Scarlet Phoenix paints the sky red with its wings. That power is infused into the Scarlet Phoenix Heart, which gives this magic artifact its bright color.

NPC Dialog

It isn't easy getting Casting Flame Feathers, Odin's Soul Jade LV9, and Primal Essences, but the Scarlet Phoenix Heart is worth it.
Casting Flame Feathers: Take a Scarlet Phoenix Core to Rydan. Enter the Burning Realm and complete the trial to get a Casting Flame Feather.
Odin's Soul Jade LV9: Get an Aura of Souljade from killing monsters, then speak to Johnny and upgrade it to a higher level.
Primal Essence: Dropped by monsters in Black Dragon Lair.

Quest Completion

A Scarlet Phoenix Heart will bring you power.