# Mattaniah ... Mika ... Zabdi ... Asaph ... Bakbukiah ... Abda ... Shammua ... Galal ... Jeduthun

These are the names of men. (See: [[rc://en/ta/man/translate/translate-names]])

# who began the thanksgiving in prayer

That is, who directed the singers.

# Bakbukiah, the second among his brothers

Possible meanings are 1) Bakbukiah was Mattaniah's kinsman and second in authority to Mattaniah or 2) "Bakbukiah, who led a second group of singers."

# brothers

Another possible meaning is "associates" or "fellow workers."