Basma is from the Arabic بسمة (Basmah — smile, gentle smile). Basma is one of the Arabic feminine names — central to traditional Muslim heritage. Arabic feminine name reflecting Arab heritage.
Basma 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.
In Pythagorean numerology the letters of Basma reduce to 9, The Giver. This is a traditional interpretive system, not a factual claim about the name.