Mazzola, Guerino / Noll, Thomas / Lluis-Puebla, Emilio: Perspectives in Mathematical and Computational Music Theory

Figure 44:

Metric weight of measures 33-106 (time signature $24$ )

Other score elements seem to prevent an accentuation of the third beat in the case of the third movement as well, as for instance the decrescendo ending on the third beat of measure 14 (see figure 43). This is in contrast with the mentioned passage of the first movement, where the third beat is pronounced by a sf (see figure 14). Furthermore, the accentuation of the second beats in the isolated metric analysis of the wind instruments corresponds to the rhythmic figures of measures 8-10 and 29-31 as well.

Figure 45:

Metric weight of measures 126-189 (time signature $3 8$ )

The following segment Presto (measures 33-106) notated as $2 4$ is characterized by a quasi continuous sequence of eighth notes which allows a differentiation into two layers within the metric weight (see figure 44) that distinguishes strong and weak beats, but within the highest layer of the first and second beats no differentiation takes place. Metric coherence cannot be stated.

On the contrary the analysis of the second segment Presto (measures 126-189) notated as $3 8$ reveals metric coherence (see figure 45).

The three analyzed segments of different outer metric structure of the third movement were characterized by very diverse relations between inner and outer metric structure. Whereas the metric weight of the first segment showed a periodicity corresponding to the measures but without differentiating the role of the third and first beats, the metric weight of the second segment did not show any differentiation within the layer of the strong beats. The last segment was characterized by metric coherence.

3.4 Fourth movement

Figure 46:

Metric weight of measures 1-59 of the fourth movement

Figure 47:

Metric weight of measures 1-59 for the wind instruments

Regarding the fourth movement Allegro con spirito (Alla breve) we will discuss in the following the two segments associated with the two main themes, namely the measures 1-59 of the first theme and 78-154 of the second.