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Ptolemy's Singularity (天動のシンギュラリティ, Tendō no Shingyurariti) is a spin-off manga series based on Beatless written by Gun Snark and illustrated by Mitsuru Ōsaki.

Releases

The series began serialization in Kadokawa's Famitsu Comic Clear website on April 11, 2014. As of January 15, 2018, seven volumes have been published by Kadokawa Shoten.