You find yourself in a world of near-Platonic perfection. I hasten to add, however, that this is music, not a treatise. The finale is a kind of musical joke. It begins with a solemn theme, richly harmonized. Hindemith eventually brings the two ideas together, and the light dawns.
Solemnity returns for a noble close.
Having played this work, I can say something of the layout for the hands. Hindemith is almost always considerate, although I encountered a fiendish run in the second-movement scherzo and chords in the finale that turned my hair a little grayer. Hindemith mainly gives your hands a set of patterns of movement and varies position and combination to yield beautiful music - a kind of jeu des mains . I found it incredibly satisfying to play. The second movement careens like a whirligig.