Cast Desperate Ritual.
Cast Pyretic Ritual.
Cast Ill-Gotten Gains, holding priority.
Cast Reverberate targeting Ill-Gotten Gains.
Resolve the copies Ill-Gotten gains, returning Reverberate, Desperate Ritual, and Pyretic Ritual to your hand.
Repeat for infinite storm count.

Infinite storm count

Ill-Gotten Gains

Desperate Ritual

Pyretic Ritual

Reverberate

Cast Desperate Ritual for {1}{R}, adding {R}{R}{R}.
Cast Seething Song for {2}{R}, adding {R}{R}{R}{R}{R}.
Cast Ill-Gotten Gains for {2}{B}{B} and hold priority.
Cast Reverberate for {R}{R}, copying Ill-Gotten Gains.
Resolve the copied Ill-Gotten Gains, discarding your hand and then returning Desperate Ritual, Seething Song, and Reverberate to your hand.
Cast Desperate Ritual for {1}{R}, adding {R}{R}{R}.
Cast Seething Song for {2}{R}, adding {R}{R}{R}{R}{R}.
Repeat from step 4.

Infinite red mana

Seething Song

Cast Pyretic Ritual for {1}{R}, adding {R}{R}{R}.
Cast Seething Song for {2}{R}, adding {R}{R}{R}{R}{R}.
Cast Ill-Gotten Gains for {2}{B}{B} and hold priority.
Cast Reverberate for {R}{R}, copying Ill-Gotten Gains.
Resolve the copied Ill-Gotten Gains, discarding your hand and then returning Pyretic Ritual, Seething Song, and Reverberate to your hand.
Cast Pyretic Ritual for {1}{R}, adding {R}{R}{R}.
Cast Seething Song for {2}{R}, adding {R}{R}{R}{R}{R}.
Repeat from step 4.

Cast Pyretic Ritual for {1}{R}, adding {R}{R}{R}.
Cast Seething Song for {2}{R}, adding {R}{R}{R}{R}{R}.
Cast Ill-Gotten Gains for {2}{B}{B} and hold priority.
Cast Increasing Vengeance for {R}{R}, copying Ill-Gotten Gains.
Resolve the copied Ill-Gotten Gains, discarding your hand and then returning Pyretic Ritual, Seething Song, and Increasing Vengeance to your hand.
Cast Pyretic Ritual for {1}{R}, adding {R}{R}{R}.
Cast Seething Song for {2}{R}, adding {R}{R}{R}{R}{R}.
Repeat from step 4.

Increasing Vengeance

Cast Desperate Ritual for {1}{R}, adding {R}{R}{R}.
Cast Seething Song for {2}{R}, adding {R}{R}{R}{R}{R}.
Cast Ill-Gotten Gains for {2}{B}{B} and hold priority.
Cast Increasing Vengeance for {R}{R}, copying Ill-Gotten Gains.
Resolve the copied Ill-Gotten Gains, discarding your hand and then returning Desperate Ritual, Seething Song, and Increasing Vengeance to your hand.
Cast Desperate Ritual for {1}{R}, adding {R}{R}{R}.
Cast Seething Song for {2}{R}, adding {R}{R}{R}{R}{R}.
Repeat from step 4.

Cast Desperate Ritual.
Cast Pyretic Ritual.
Cast Ill-Gotten Gains.
Cast Increasing Vengeance targeting Ill-Gotten Gains.
With the Ill-Gotten Gains copy return the other three cards to your hand.
Repeat.

Cast Desperate Ritual.
Cast Pyretic Ritual.
Cast Ill-Gotten Gains.
Cast Fork targeting Ill-Gotten Gains.
With the Ill-Gotten Gains copy return the other three cards to your hand.
Repeat.

Fork

Cast Desperate Ritual for {1}{R}, adding {R}{R}{R}.
Cast Seething Song for {2}{R}, adding {R}{R}{R}{R}{R}.
Cast Ill-Gotten Gains for {2}{B}{B} and hold priority.
Cast Fork for {R}{R}, copying Ill-Gotten Gains.
Resolve the copied Ill-Gotten Gains, discarding your hand and then returning Desperate Ritual, Seething Song, and Fork to your hand.
Cast Desperate Ritual for {1}{R}, adding {R}{R}{R}.
Cast Seething Song for {2}{R}, adding {R}{R}{R}{R}{R}.
Repeat from step 4.

Cast Pyretic Ritual for {1}{R}, adding {R}{R}{R}.
Cast Seething Song for {2}{R}, adding {R}{R}{R}{R}{R}.
Cast Ill-Gotten Gains for {2}{B}{B} and hold priority.
Cast Fork for {R}{R}, copying Ill-Gotten Gains.
Resolve the copied Ill-Gotten Gains, discarding your hand and then returning Pyretic Ritual, Seething Song, and Fork to your hand.
Cast Pyretic Ritual for {1}{R}, adding {R}{R}{R}.
Cast Seething Song for {2}{R}, adding {R}{R}{R}{R}{R}.
Repeat from step 4.

Combos with "Ill-Gotten Gains"