Monday, November 23, 2009

Proto-background 9: the fourth ^5-^8

Also see the proto-background introduction.

The last of the proto-backgrounds implausibly demotes the alto voice and gives all the attention to the overall shape of the uppermost voice. Although some interesting insights emerge from this focus on the fourth, still the reading overall seems forced, a deliberate misreading.

Schubert uses the ^5-^6-^7 Leerlauf most blatantly to end the first waltz of the Valses nobles. It can also be found in the first strain cadence of D783n16, and, in more elaborate form, in D734n1, in D924n7, and in the last of theValses sentimentales.

In the graphic below, the second level shows other figures in addition to the basic opposed neighbors, E-E#-E, A-G#-A; these could, alternatively, be described as a WEDGE.

In this version, the second staff shows simple registral shifts generating later-level INV transformations, plus the transposition of E5-A5 to generate the C# major section. The third staff elaborates all of these intervals by means of lines.

This conception of the piece traces the interval/line relationship more abstractly, as a series of Transpositions in the first staff, to which the countermanding (and insinuating) line is added. This latter, nevertheless, traces the same fourth down (A-G#-Gnat-F#-E), and in the end notes also reaches a vertical interval of that fourth again.