jwilzewske: Morgenstern Trio: Ravel, the Amateur Mathematician

P antoum poetical form—where each subsequent line changes function to become an antecedent line in the next stanza. Ravel’s music shows a love of the musical equivalent of this, playing on in-built ambiguities between antecedent and consequent to build up large-scale forms and at the same time hold our attention by letting the ambiguities surprise us.”
— Roy Howat, 1993.

T he Morgenstern Trio (Catherine Klipfel, piano; Stefan Hempel, violin; Emanuel Wehse, cello) have a uniquely intense, incisive style, as was abundantly demonstrated in their performance of Debussy, Mozart, and Brahms in a Music Alliance Series program Friday evening.

T he trio also have a characteristic, wry sense of humor, as befits the eponymous Christian Morgenstern, a German poet who was born in 1871 and died of TB in 1914.

T he Trio’s whole performance was superb—fresh; exciting; technically flawless—no surprise, given the many prizes they have received in competitions.

B ut even their encore—the second movement of Ravel’s piano trio, entitled ‘Pantoum’—delivered more, more than one routinely expects from an ‘encore’. The piano opens with the edgy, intense first theme, and the strings respond in double octaves. The short scherzo and trio ‘A-B-A’ structure makes for a perfect encore-length morsel. But there are ironies and meta-meanings in this piece. The repetitions and surface-level structures of the piece are not as straight-forward as they seem. The structure is like a ‘spell’ cast by a witch in a folktale. The rhetoric is one not of declamation but enchantment.

R avel wrote the trio theme in a completely different metre (4/2) from the scherzo (3/4), and the two time signatures co-exist—a kind of metrical dissonance that adds a lot of drama to an otherwise ‘dèpouiller’ (‘pared-down’, to the level of a children’s fairytale) narrative.

T he ‘piano-against-strings’, ‘4/2 vs. 3/4’ meter switches with the 4/2 that is initially in the piano part later swapped as the strings go from 3/4 to 4/2 and the piano returns to 3/4. The “competing meters” metrical dissonance persists for a long, long stretch: 168 quarter notes at 192 bpm, almost a whole minute’s worth.

T he ornaments are ‘reflexive’, as if they are compulsory, happenstantial features of how the music lays under the physical hand for each instrument, and as contrasted with a fully-deliberated, polished, composerly gesture.

T he reflexive, organic sounds wash over us, and we develop a suspicion of ambient, non-human order; a sense of diabolical, out-of-control natural forces at-work; a mix of awe and wonder and foreboding.

T he tension between the different meters—the different time percepts—inducing us to switch between an ‘ensemble algorithmic level’ and an ‘individual voice level’ depending on what is more significant or more commanding of our attention—is the primary reason why this ‘Pantoum’ movement is so exciting, I believe. In the languid section between numbers 11 and 15 in the score, the trio “sound grains” are large, and the listener attends to the ensemble sound and its algorithmic metrical structure.

B ut in the emphatic pizzicato passages, our attention is absorbed in the motion of the individual string parts, and we suspend attending to the algorithmic interactions associated with the metrical dissonance.

T he metrical dissonance persists and “lurks”, though. It is still within our awareness—and we feel apprehensive about the finiteness of our attention and the risks that might come true on account of shifting our attention away from the metrical dissonance “ensemble” features and onto the individual parts, much as a child hearing a fairytale experiences apprehension as her attention is absorbed by some new story development but the wolf is without doubt still in those woods and nightfall is not long off.

O ne may say that the number of functions is extremely small whereas the number of characters is extremely large. This explains the two-fold quality of a folktale—its amazing multiformity, picturesqueness, and color... and, on the other hand, its no-less-striking uniformity—its repetition.”
— Vladimir Propp, Morphology of the Folktale, p. 20.

I t captivates us—it fully absorbs us, this fairytale-like pantun of Ravel’s—all the way to its ending flourish. We are spell-bound, returned to a primitive state of wonder, feeling much like we felt as children listening to thrilling stories—ones we had never heard before—told to us by belovèd grandparent or parent. You don’t get this entrancing music experience from recordings—not really. You need to attend a “live” performance, like the especially fine one given by Morgenstern Trio Friday night!

L ass die Moleküle rasen,
was sie auch zusammenknobeln!
lass das Tüfteln, lass das Hobeln,
heilig halte die Ekstasen.

[Let race the molecules,
tossing together what compounds they may!
Let the random tinkering continue; let the atoms’ planes and dihedral angles,
Keep holy the ecstasy.]”
— Christian Morgenstern, Lass die Moleküle rasen.

[Lehmer Sieve, 1932, solving Diophantine equations]

D iophantine Pantoum where A=7, B=3

¹Lehmer sieve’s ribbon o’er Diophantine field;
²White paper slides to the tune of rods’ switches.
³Sieve sings congruences, linear aria concealed,
⁴Seeks solutions to be found in theory which, as

²White paper slides to the tune of rods’ switches,
⁵Ribbon infers nineteen B minus eight A equals one.
⁴Seeks solutions to be found in theory which, as
⁶A father’s age AB is one less than twice BA the son,

⁵Ribbon infers nineteen B minus eight A equals one.
⁷Polynomial conjecture, in Fermat’s margin centuries’ toil!
⁶A father’s age AB is one less than twice BA the son
⁸Yields seventy-three and thirty-seven, algebraically closed foil.

⁷Polynomial conjecture, in Fermat’s margin centuries’ toil!
³Sieve sings congruences, linear aria concealed,
⁸Yields seventy-three and thirty-seven, algebraically closed foil—
¹Lehmer sieve’s ribbon o’er Diophantine field.”

— DSM.

jwilzewske

Sunday, March 18, 2012

Morgenstern Trio: Ravel, the Amateur Mathematician

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