Cast Sol Ring by paying its mana cost.
Tidespout Tyrant triggers, returning a nontoken permanent that can be cast using {C} from the battlefield to your hand.
Activate Sol Ring by tapping it, adding {C}{C}.
Cast the nontoken permanent returned in step 2 by paying its mana cost.
Tidespout Tyrant triggers, returning Sol Ring from the battlefield to your hand.
Repeat.

Infinite colorless mana

Infinite storm count

Tidespout Tyrant

Sol Ring

Activate Selvala by paying {G} and tapping it, adding at least {1}{G}{G}{G} plus enough mana to cast a creature card from your hand.
Cast a creature card by paying its mana cost.
Tidespout Tyrant triggers, returning Selvala from the battlefield to your hand.
Cast Selvala by paying {1}{G}{G}.
Tidespout Tyrant triggers, returning the creature cast in step 2 from the battlefield to your hand.
Repeat.

Infinite LTB

Infinite ETB

Infinite colored mana

Selvala, Heart of the Wilds

Maelstrom Wanderer

Cast Invasion of Arcavios by paying {3}{U}{U}.
Tidespout Tyrant triggers, returning a permanent to its owner's hand.
When Invasion of Arcavios enters the battlefield, it triggers, returning Nexus of Fate from your graveyard to your hand, or searching your library for Nexus of Fate and putting it into your hand, if needed.
Cast Nexus of Fate by paying {5}{U}{U}.
Tidespout Tyrant triggers, returning Invasion of Arcavios to your hand from the battlefield.
Resolve Nexus of Fate, causing you to take an extra turn after this one and shuffle it into your library.
Repeat each turn.

Infinite turns

Invasion of Arcavios // Invocation of the Founders

Nexus of Fate

Cast Invasion of Arcavios by paying {3}{U}{U}.
Tidespout Tyrant triggers, returning a permanent to its owner's hand.
When Invasion of Arcavios enters the battlefield, it triggers, returning Time Warp from your graveyard to your hand, or searching your library for Time Warp and putting it into your hand, if needed.
Cast Time Warp by paying {3}{U}{U}.
Tidespout Tyrant triggers, returning Invasion of Arcavios to your hand from the battlefield.
Resolve Time Warp, causing you to take an extra turn after this one.
Repeat each turn.

Time Warp

Cast Invasion of Arcavios by paying {3}{U}{U}.
Tidespout Tyrant triggers, returning a permanent to its owner's hand.
When Invasion of Arcavios enters the battlefield, it triggers, returning Beacon of Tomorrows from your graveyard to your hand, or searching your library for Beacon of Tomorrows and putting it into your hand, if needed.
Cast Beacon of Tomorrows by paying {6}{U}{U}.
Tidespout Tyrant triggers, returning Invasion of Arcavios to your hand from the battlefield.
Resolve Beacon of Tomorrows, causing you to take an extra turn after this one and shuffle it into your library.
Repeat each turn.

Beacon of Tomorrows

Cast Invasion of Arcavios by paying {3}{U}{U}.
Tidespout Tyrant triggers, returning a permanent to its owner's hand.
When Invasion of Arcavios enters the battlefield, it triggers, returning Walk the Aeons from your graveyard to your hand, or searching your library for Walk the Aeons and putting it into your hand, if needed.
Cast Walk the Aeons by paying {4}{U}{U}.
Tidespout Tyrant triggers, returning Invasion of Arcavios to your hand from the battlefield.
Resolve Walk the Aeons, causing you to take an extra turn after this one.
Repeat each turn.

Walk the Aeons

Cast Invasion of Arcavios by paying {3}{U}{U}.
Tidespout Tyrant triggers, returning a permanent to its owner's hand.
When Invasion of Arcavios enters the battlefield, it triggers, returning Temporal Manipulation from your graveyard to your hand, or searching your library for Temporal Manipulation and putting it into your hand, if needed.
Cast Temporal Manipulation by paying {3}{U}{U}.
Tidespout Tyrant triggers, returning Invasion of Arcavios to your hand from the battlefield.
Resolve Temporal Manipulation, causing you to take an extra turn after this one.
Repeat each turn.

Temporal Manipulation

Cast Invasion of Arcavios by paying {3}{U}{U}.
Tidespout Tyrant triggers, returning a permanent to its owner's hand.
When Invasion of Arcavios enters the battlefield, it triggers, returning Capture of Jingzhou from your graveyard to your hand, or searching your library for Capture of Jingzhou and putting it into your hand, if needed.
Cast Capture of Jingzhou by paying {3}{U}{U}.
Tidespout Tyrant triggers, returning Invasion of Arcavios to your hand from the battlefield.
Resolve Capture of Jingzhou, causing you to take an extra turn after this one.
Repeat each turn.

Capture of Jingzhou

Cast Time Stretch from your graveyard by paying {8}{U}{U}.
Tidespout Tyrant triggers, returning Hades from the battlefield to your hand.
Resolve Time Stretch, causing you to take an extra turn after this one.
Move to your first extra turn.
Cast Emet-Selch by paying {1}{U}{B}.
When Emet-Selch enters the battlefield, it triggers, causing you to loot.
Move to your second extra turn.
At the beginning of your upkeep, Emet-Selch triggers, transforming itself into Hades.
Repeat.

Emet-Selch, Unsundered // Hades, Sorcerer of Eld

Time Stretch

Cast the affinity permanent in your hand by paying {0}.
Tidespout Tyrant triggers, returning the other affinity permanent from the battlefield to your hand.
Repeat.

Combos with "Tidespout Tyrant"