His father was baronial valet in Bayreuth. He was educated at the Karlsschule in Stuttgart where his teachers were Antonio Boroni, Ferdinando Mazzanti, and Johann Gottlieb Sämann. In 1782 he became member of the musicians of the Court; in 1802 he became concertmaster and later organist of the Court. He retired in 1832.
He wrote several folk songs, concerts, and two operas, Amor und Psyche and Peter und Ännchen, in the same style as Mozart. Abeille also wrote two sonatas for keyboard with accompanying violin (1783) as well as several instrumental works.
Abeille wrote piano, chamber and vocal music and also the musical plays 'Cupid and Psyche', and 'Peter and Aennchen'.
- Amor und Psyche, musical play in 4 acts. Libretto by Franz Karl Hiemer. Premièred on 18 January 1800 in Stuttgart, Hoftheater.
- Der Hausmeister, musical play in 2 acts. Premièred in 1805 in Stuttgart
- Peter und Aennchen, musical play in 2 acts. Libretto by Franz Karl Hiemer and Charles Simon Favart Annette et Lubin. Premièred on 29 September 1809 in Ludwigsburg
- Fantaisie für Klavier Op. 4
- Concerto for Piano 4 hands and Orchestra Op. 6
- Sonata for Piano 4 hands Op. 22
- Der Aschermittwoch Op. 11
- Die entschlafene Liebe Lied
- C.F. Pohl, et al. "Abeille, Ludwig." Grove Music Online. Oxford Music Online. Oxford University Press, accessed October 11, 2014, http://www.oxfordmusiconline.com/subscriber/article/grove/music/00032.
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