MusicNovatory/Applications/Composition/Modulation/2


Modulation 2

Contrary to Modulation 1, in which the DOMINANT seventh chords never resolve,
         Modulation 2 offers a temporary TONIC for each DOMINANT,
                   grouping the chords of the circle in binary cells, 2 by 2,
                             with weak modulations to F, Em, Dm, and, of course, strongly to C.
                                       [I7 IV VII7 IIIm VI7 IIm V7 I (C7 F B7 Em A7 Dm G7 C)]
         The second chord, F [IV] acts as a Neapolitan Sixth in the Key of Em [II of III],
                   an ANTE 1 [II] with a flat root (F),
                             whose resolution to the DOMINANT (with its F#) is delicate.

modu2-01c

With Voice-Leading C, the resolution of the Neapolitan Sixth is awkward in Line 1,
                   with the F to F# and then to E (chords 2-4).
         Line 2 has the right resolution, with F to D# to E, and it would be preferable to leave Line 1 out.

The last 4 chords of this circle are used four times as a harmonic development motif
by Bach in the Wohltemperiertes Klavier, Volume 1, Praeludium 3 (in C# major), Bars 32-47
[VII7 IIIm VI7 IIm, III7 VIm II7 V, VI7 IIm V7 I, II7 Vm I7 IV
(B#7 E#m A#7 D#m, E#7 A#m D#7 G#, A#7 D#m G#7 C#, D#7 G#m C#7 F#)]

modu2-01a

With Voice-Leading A, there is no problem with the resolution of the Neapolitan Sixth,
         with the F to A and then to G, in Line 1, and C to D# and then to E in Line 2, (chords 2-4).

To Modulation 3