Naru Ayase is an 8th grader who can see the colors of music when she listens to it. For Naru, who is extremely good at decorating, becoming the owner of a shop like Dear Crown was her dream. One day, she finds out that the manager of a newly-opened shop is recruiting middle school girls who can do Prism Dance, and immediately applies. Naru begins to Prism Dance at the audition, and an aura she's never experienced spreads out in front of her. At that moment, a mysterious girl named Rinne asks her if she can see "rainbow music." (Source: ANN)

In the near future, humans have discovered a fourth dimension, Dimension W, and a supposedly infinite source of energy within. In order to harness this profound new energy, mankind develops advanced "coils," devices that link to and use the power of Dimension W. However, by year 2071, the New Tesla Energy corporation has monopolized the energy industry with coils, soon leading to the illegal distribution of unofficial coils that begin flooding the markets. Kyouma Mabuchi is an ex-soldier who is wary of all coil-based technology to the extent that he still drives a gas-powered car. Kyouma is a "Collector," individuals with the sole duty of hunting down illegal coils in exchange for money. What started out as just any other mission is turned on its head when he bumps in Mira Yurizaki, an android with a connection to the "father" of coils. When a series of strange events begin to take place, these two unlikely allies band together to uncover the mysteries of Dimension W. [Written by MAL Rewrite]

An unaired episode released with the sixth BD volume.

An extraordinary guard walks in the desert of the western regions escaping the slaughter by the government. He took a surveillance assignment bound for the Chang capital. The task was thought of as something simple, but in reality it is a path full of crises and dangers. Here begins a journey that will affect the fate of the world.