> On 3 Feb 2019, at 00:04, Lukas-Fabian Moser <l...@gmx.de> wrote: > > If I understand correctly, the same problem already arises with c:9, that is, > as soon as the given chord voicing spans more than an octave. > > But the problem is much more general: "inversion", when only applied to > chords given as stacks of thirds, is as artificial a concept as the > stacks-of-thirds themselves, for as you know, real chords (sets of pitches) > have an arbitrary distribution of their pitch classes to actual pitches, > including doublings of pitch classes (maybe even doublings of actual pitches).
I think the concept originally comes from the Just major triad 4:5:6, which has the property that the lowest difference tone in root position and inversions is the root of the chord, so the ear still hears a major chord in root position in the inversions, though the root is weak. It is not true for the minor chord. But then the concept has been extended to any chord because it is useful when assigning the pitches, even though it clearly changes the character depending on choice. _______________________________________________ lilypond-devel mailing list lilypond-devel@gnu.org https://lists.gnu.org/mailman/listinfo/lilypond-devel
