The Masamune

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.

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.

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.

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 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.)