Postscript 2 to "Trinklied": parallel fifths

Postscript to "Trinklied": assuming a dominant-root in the bass, the "fall from the dominant" in the cadence traces a V9 chord, which -- in the major key -- poses the danger of parallel fifths if 9 in one voice descends to 8 (that is, ^6 goes to ^5 in the tonic resolution), and 5 in a second voice descends by step (or ^2 goes to ^1) below the first voice. The problem is easily seen in the figure from my previous post (below): E5 goes to D5, A4 goes to G4.

Musicians obviously found ways to deal with this, as the sound of the V9 chord is a particular feature in 19th century music of all but the most conservative sorts—and it began early, with Schubert's generation. In yesterday's post on The Blue Danube waltzes, we saw Johann Strauss, jr., use the simplest method: resolve 9 to 8 before the tonic chord. Thus one gets the expressive sound of the ninth chord without the voice-leading hassle.

The problem of parallels in certain progressions--and clever devices of detail to overcome them--is far older than the 19th century. In the 16th century, the 5-3 sequence was occasionally used -- see Ex. 1a. In the 17th and 18th centuries, the ubiquitous circle of 5ths sequence avoided parallel octaves and fifths while invoking the sound of a stream of perfect intervals--Examples 1b and 1c.

In Example 2a, I have condensed the "Trinklied" falling figure into a chord. At 2b is the older voice leading for viiø7-I; this assumes that both C5 and A4 resolve to B4, but that means one cannot have a descending cadence melody: ^2 goes to ^3, not ^1. The recommended textbook voice leading for V9 in four parts (Example 2c) conveniently leaves out the fifth (A5 here), erasing the problem of parallels, but still making V9 unusable in closing cadences. Example 2d translates 2c into a cadential form, but that means ^7-^8 in the uppermost voice. Finally, Example 2e overlays 2d on the "Trinklied" melodic figure, which reintroduces ^2 (A5) but doesn't sustain ^6 (E5) throughout the bar, thus barely escaping directly sounding parallels.

In general the orchestral parts reinforce this. For example, one of the horn parts holds D4 throughout the four measures of the cadence phrase. One of the woodwind parts even traces a melodic line through A5 but then is silent during the final bar's tonic chord!

There is an exception, though. While the second violins hold A3 and resolve it directly to G3—

—the second clarinet (which is in C) holds E4, clashing with the F#4 in the second violins' double-stop, and only touches on F#4 for an eighth note before dropping to D4. This is as "barely" as barely escaping fifths can get.

Strauss's generation was the last to try to observe the prohibition against parallel fifths. In the next generation, Debussy and his peers divided parallel intervals/chords and contrary motion into two sets of effects, both equally expressive and usable.