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Sealed Sound: Sigma can collect the sound in time that's left with a strong emotion. He uses these pieces as clues to solving each murder case.
Grand Clock: Safeguarded by the Kurogami Family for generations. Large amount of Ouma was sealed within since ancient time. The real clock seems to be hidden in a gap of time to avoid its complete destruction.
Reasoning: Sigma's mental reasoning chess board. Sealed sounds become clue pieces that's use to purge the darkness pieces of mystery.
Darkness: Unresolved mystery in Sigma's mind. The dots inside indicates how many clue pieces it needs to purge it.
Time Tuning: After solving a case. Sigma can tune the time back to its original state. The more accurate the reasoning, the closer to the original timeline and Ouma will become weaker as a result.