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If an ability would produce one or more mana of an undefined type, it produces no mana instead.

Some abilities produce mana based on the type of mana another permanent or permanents “could produce.” The type of mana a permanent could produce at any time includes any type of mana that an ability of that permanent would produce if the ability were to resolve at that time, taking into account any applicable replacement effects in any possible order. Ignore whether any costs of the ability could or could not be paid. If that permanent wouldn’t produce any mana under these conditions, or no type of mana can be defined this way, there’s no type of mana it could produce.

To “tap [a permanent] for mana” is to activate a mana ability of that permanent that includes the {T} symbol in its activation cost. See rule 605, “Mana Abilities.”

An ability that triggers whenever a permanent “is tapped for mana” or is tapped for mana of a specified type triggers whenever such a mana ability resolves and produces mana or the specified type of mana.

A replacement effect that applies if a permanent “is tapped for mana” or tapped for mana of a specific type and/or amount modifies the mana production event while such an ability is resolving and producing mana or the specified type and/or amount of mana.

If an object’s enters-the-battlefield triggered ability or replacement effect refers to X, and the spell that became that object as it resolved had a value of X chosen for any of its costs, the value of X for that ability is the same as the value of X for that spell, although the value of X for that permanent is 0. This is an exception to rule 107.3i.

The tap symbol is {T}. The tap symbol in an activation cost means “Tap this permanent.” A permanent that’s already tapped can’t be tapped again to pay the cost. A creature’s activated ability with the tap symbol in its activation cost can’t be activated unless the creature has been under its controller’s control continuously since their most recent turn began. See rule 302.6.

The untap symbol is {Q}. The untap symbol in an activation cost means “Untap this permanent.” A permanent that’s already untapped can’t be untapped again to pay the cost. A creature’s activated ability with the untap symbol in its activation cost can’t be activated unless the creature has been under its controller’s control continuously since their most recent turn began. See rule 302.6.

Ghirapur Orrery's first ability allows a player to play an additional land during their main phase. Doing so follows the normal timing rules for playing lands.

The draw step is after the upkeep step, so drawing a card as a turn-based action won't affect whether Ghirapur Orrery's second ability triggers.

In a Two-Headed Giant game, Ghirapur Orrery's second ability triggers for each player on a team separately. If one player has cards in hand, it can still trigger for the other player.

If the player has any cards in hand as Ghirapur Orrery's second ability resolves, the ability does nothing. Notably, a second Ghirapur Orrery won't have a player draw another three cards unless the player empties their hand after resolving the first one's trigger.

No player may take actions in a turn before Ghirapur Orrery's second ability checks to see if it should trigger. If the player whose turn it is has any cards in hand, it won't trigger.

Ghirapur Orrery's first ability is cumulative if more than one is on the battlefield.