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On the Sheminith - According to the Targum, this signifies an instrument that sounded an octave, or, according to others, an instrument with eight strings. The Syriac and Arabic have it, instruments to sing with daily, at the third, sixth, and ninth hour; the Vulgate, an octave, for a song of victory: some think the eighth band of the musicians is intended, who had the strongest and most sonorous voices; and that it is in this sense that shelomith and lenatstseach should be understood.

Harps on the Sheminith - “Sheminith” properly means “the eighth,” and has been compared with the modern musical term “octave.” Further, “Sheminith” and “Alamoth” are regarded as contrasted, and the harps of Mattithiah and his companions are supposed to have been pitched an octave below the psalteries of Zechariah and his brethren.

The word translated “to excel,” is taken as meaning “to lead,” and Mattithiah, etc., as leaders of the singers.

Wise and good men may be guilty of oversights, which they will correct, as soon as they are aware of them. David does not try to justify what had been done amiss, nor to lay the blame on others; but he owns himself guilty, with others, of not seeking God in due order