The extra takbirs distinguish Eid from an ordinary two-rak‘ah prayer. The stated Hanafi sequence uses three in each unit.
Differences among the schools concern the prescribed manner; their counts should not be mixed to construct a hybrid sequence.
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The legal place of the six additions
Eid Prayers and the Takbirs of Tashriq
The extra takbirs distinguish Eid from an ordinary two-rak‘ah prayer. The stated Hanafi sequence uses three in each unit.
Differences among the schools concern the prescribed manner; their counts should not be mixed to construct a hybrid sequence.