I like this word. Most useful, I would think, in describing something arranged in such an order. Even then, though, more of a curiosity than anything else.
abecedarian, a. and n.
1. Of or pertaining to the alphabet; marked with the alphabet; arranged in alphabetical order, as abecedarian psalms, like the 119th.
2. Occupied in learning the alphabet, or pertaining to one so occupied.
B. n. [The adj. used elliptically.]
1. One occupied in learning the alphabet. In U.S. the regular school term.
2. One engaged in teaching the alphabet and merest rudiments of instruction.
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There is also:
abecedary, a. and n.1
A. adj.
1. Of or according to the alphabet; alphabetic; marked with the alphabet; arranged in alphabetical order.
2. Engaged with or needing to learn the alphabet; illiterate.
B. n. An abecedary scholar or teacher. (Cf. Florio 1611, Abecedário, a teacher or learner of A B C.)
Neh 