Leybach was a virtuoso pianist whose works often feature elaborate, operatic melodies. This piece utilizes a lyrical, song-like structure typical of mid-19th century sentimental music.
Balance the long, lyrical phrasing in the right hand with a delicate, unobtrusive left-hand accompaniment.
Comparable difficulty and character — good candidates for what to learn next.
Calme et solitude (Op.188) is rated Henle level 4 of 9 — intermediate repertoire, roughly ABRSM grades 5–6. In the RCM system it corresponds to about level 6.
You should be comfortable at Henle level 4 — meaning you can already play level 3–4 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of Calme et solitude (Op.188) lasts about 5 minutes.
Calme et solitude (Op.188) is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include Alla stella confidente by Ignace Xavier Joseph Leybach, 'Au printemps' de Gounod by Ignace Xavier Joseph Leybach, Boléro brillant by Ignace Xavier Joseph Leybach — see the full similar-pieces list on this page.