Clearly, Hindemith did not write the Wikipedia article on himself, or it would not use that language (at least, Hindemith would not have used it by the time he wrote the Craft of Musical Composition).- Jerome Kohl ( talk) 21:56, (UTC) Reply Thanks if you're happy then I daresay it's fine. Hindemith came to think along much the same lines as Schenker, that every piece has one, central tonic, and that what is commonly called 'modulation' is merely a temporary local emphasis on some other note, which retains (on a global scale) its subordinate position with respect to the overall tonic. The issue of modulation depends on one's theoretical point of view. It is possible that the original actually said 'harmonic series', but Hindemith's scale of harmonic relations does not map exactly onto the harmonic series, even if there is a strong relationship. It does seem to me that 'harmonic scale' at the end of the first sentence could be re-phrased, or at least explained a little further. JBritnell ( talk) 20:45, (UTC) Reply I'm afraid I do not have access to those liner notes, but the two quoted sentences do make perfect sense to me.

Like most tonal music, it is centred on a tonic and modulates from one tonal centre to another This is obvious from listening to it, but for a further opinion see the Hindemith article, which says of his music Hindemith's concept of tonality may not be the classical one, but he certainly moves between keys. And the claim in the third sentence that the 'practice of modulation is dropped' is surely just incorrect. My concerns: the first two sentences appear to me to be simply nonsensical maybe they have some meaning which I'm missing, but if so then it needs to be more clearly explained. In this system, the major-minor duality is meaningless and the practice of modulation is dropped. The affinity of each note with the keynote is directly related to its position on the harmonic scale. Ludus Tonalis can be thought of as the most direct application of Hindemith's theory that the twelve tones of the equally tempered scale all relate to a single one of them (called a tonic or keynote). Does anyone have access to the source (Mark Vignal's liner notes for the Richter recording) to check what it's actually saying? I don't know enough about this to be sure of my ground, but this looks odd.

Ludus tonalis.