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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.

The trigger event doesn't have to specifically refer to "creatures." In these cases, the trigger event may also refer to something being "put into a graveyard from the battlefield." For example, if the equipped creature or an emblem you own has an ability that triggers "whenever an artifact is put into a graveyard from the battlefield," that ability would trigger twice if an artifact creature died.

If you somehow control two of The Masamune and they're equipped to creatures you control, a creature dying causes abilities of emblems you own to trigger three times, not four. (If they're equipped to the same creature, the abilities of the equipped creature will also trigger three times.)

The granted ability's effect doesn't copy the triggered ability; it just causes the ability to trigger twice. Any choices made as you put the ability onto the stack, such as modes and targets, are made separately for each instance of the ability. Any choices made on resolution, such as whether to pay a cost for that triggered ability, are also made separately.

Look at each creature as it exists on the battlefield, taking into account continuous effects, to determine whether any triggered abilities will trigger multiple times. For example, if a land that has become a creature dies, an ability that triggers when it dies triggers twice.

An ability that triggers on an event that causes a creature to die doesn't trigger twice. For example, an ability that triggers "whenever you sacrifice a creature" triggers only once.

The granted ability affects the equipped creature's own "when this creature dies" triggered abilities as well as other triggered abilities of that creature or emblems you own that trigger when a creature dies. Such triggered abilities start with "when" or "whenever."

An ability of the equipped creature or an emblem you own that triggers when a creature "leaves the battlefield" will trigger twice if that creature leaves the battlefield by dying.

If a creature dying at the same time as the equipped creature (including the equipped creature itself dying) causes a triggered ability of the equipped creature or an emblem you own to trigger, that ability triggers an additional time.