Bagatelle sans tonalité ("Bagatelle without tonality", S.216a) is a piece for solo piano written by Franz Liszt in 1885. The manuscript bears the title "Fourth Mephisto Waltz" and may have been intended to replace the piece now known as the Fourth Mephisto Waltz when it appeared Liszt would not be able to finish it; the phrase Bagatelle ohne Tonart actually appears as a sub-title on the front-page of the manuscript.
The Bagatelle is a waltz in a typical sectioned dance form, with repeated sections given inventive variation. While this piece is not especially dissonant or atonal in the same sense as in Schoenberg's music, it is extremely chromatic, becoming what Liszt's contemporary François-Joseph Fétis called "omnitonic" in that it lacks any definite feeling for a tonal center. Some critics have suggested, however, that the various underpinnings of the piece—in other words, the main bass notes and melodic elements—work together to imply an underlying tonality of D, which would link the Bagatelle in terms of tonality with the Fourth Mephisto Waltz.
The Bagatelle, like the Mephisto Waltzes, could be considered a typical example of program music, taking for its program an episode from Faust, not by Goethe but by Nikolaus Lenau (1802–1850). The following program note, which Liszt took from Lenau, appears in the printed score of the Mephisto Waltz No. 1:
There is a wedding feast in progress in the village inn, with music, dancing, carousing. Mephistopheles and Faust pass by, and Mephistopheles induces Faust to enter and take part in the festivities. Mephistopheles snatches the fiddle from the hands of a lethargic fiddler and draws from it indescribably seductive and intoxicating strains. The amorous Faust whirls about with a full-blooded village beauty in a wild dance; they waltz in mad abandon out of the room, into the open, away into the woods. The sounds of the fiddle grow softer and softer, and the nightingale warbles his love-laden song."