Homa is a mythical Persian bird of blessing, said to bring fortune to whomever its shadow falls upon. It carries luck and lofty grace.
Homa does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
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In Pythagorean numerology the letters of Homa reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.