I will praise the LORD according to his righteousness: and will sing praise to the name of the LORD most high. I will praise the Lord according to his righteousness - I shall celebrate both his justice and his mercy. I will sing praise to the name of the Lord Most High. The name of God is often put for his perfections. So here, שם יהוה עלין shem Yehovah Elyon; "The perfections of Jehovah, who is above all." My old Scotico - English MS., mentioned at the conclusion of the introduction, begins at this verse, where are the following words by way of paraphrase: Sang falles til ioy; and he that synges well that name, his ioy es mare than i kan tell. Those who are happy may sing; and he who can duly celebrate the name of God, who knows it to be a strong tower into which he can run and find safety, has inexpressible happiness. That is the sense of the above.
Commentary on the Bible, by Adam Clarke [1831].