Abecedary, Abecedarian adj. Pertaining to, or formed by, the letters of the alphabet; alphabetic; hence, rudimentary.
Abecedarian psalms, Abecedarian hymns, etc., compositions in which (like the 119th psalm in Hebrew) distinct portions or verses commence with successive letters of the alphabet.
... also applied to alphabetical or "abecedarian'' verses. Of these we have instances in the Hebrew psalms (e.g. Ps. xxv. and xxxiv.), where successive verses begin with the letters of the alphabet in their order. The structure of Ps. cxix. is still more ... — Project Gutenberg Encyclopedia