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The Collaborative International Dictionary
Andante moderato

Moderato \Mod`e*ra"to\, a. & adv. [It. See Moderate.] (Mus.) With a moderate degree of quickness; moderately.

Allegro moderato, a little slower than allegro.

Andante moderato, a little faster than andante.

Wiktionary
andante moderato

adv. (context music English) A little faster than andante.