Josef Trompke presents a textbook and exercise book on composition with his counterpoint theory, which details and explains the historical compositional techniques from the 16th to the 19th century. It represents the culmination of Trompke's many years of research and teaching experience, with a particular emphasis on practical guidance. The book is aimed at university lecturers and students, but also at teachers, pupils, and interested laypeople who wish to deepen their understanding of the compositional techniques of great masters. A new feature is the simultaneous, layered notation of the nomenclature from both the scale theory and the functional theory, allowing for freedom of choice between the common labeling systems. Trompke's counterpoint theory is particularly valuable due to the connection between horizontal and vertical harmonic structures, as well as the interplay of counterpoint and harmony.