Reference: Altaschith
Easton
destroy not, the title of Ps. 57, 58, 59, and 75. It was probably the name of some song to the melody of which these psalms were to be chanted.
Fausets
The title of Psalm 57; 58; 59; 75: The maxim of David amidst persecutions, embodying the spirit of his psalm (Kimchi); drawn from De 9:26, Moses' prayer, "Destroy not Thy people and Thine inheritance, whom Thou hast redeemed." He used the same "destroy not" in 1Sa 26:9, to Abishai, who urged him to slay Saul when in his power. We can say "destroy not" to God only when we ourselves beat' no malice to our enemies. Aben Ezra less probably explains "some song named so, to the tune of which the psalm was to be chanted."
See Verses Found in Dictionary
Morish
Al-taschi'th
Two Hebrew words untranslated in the titles of Ps 57:1; 58:1; 59:1, and Ps 75:1: reading in the margin 'destroy not,' and thus rendered in the LXX. The general thought is that reference is made to some air to which these Psalms were sung. The words, however, may have been taken from what David said in 1 Sam. 26: 9, "Destroy him not."