Parmida is from the Persian پارمیدا (Pārmīdā) — ancient Persian name of Achaemenid princess. Parmida is one of the Persian feminine names — central to traditional Persian + Zoroastrian heritage. 539-c. 520 BCE Behistun Mountain Iran. Persian feminine name reflecting Achaemenid heritage.
Parmida 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 Parmida reduce to 8, The Visionary. This is a traditional interpretive system, not a factual claim about the name.