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An Analytical and Educational Survey of Howard Hanson's Dies ...

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P29intervallic relationship <strong>of</strong> a fifth followed by a minor second is projected down. Thedownward projection in measure 149 actually has been transposed up a half step due toharmonic progression, but nevertheless, itis a good example <strong>of</strong> involution.I,h/^> * >Ex. 12: Involution <strong>of</strong> the melody, measures 148 <strong>and</strong> 149Variation V. The fifth variation uses the first six notes <strong>of</strong> the chorale, <strong>and</strong> may beorganized into three sections. In the first section, the six-note melody occurs in everymeasure, introduced by different instruments. The second section's melody is mostlyharmony, a line creating suspensions that resolve as they move. The third section is afinal return <strong>of</strong> the six-note melody in clarinets. The following is an example <strong>of</strong> themelody that is played in canon in the first <strong>and</strong> third sections <strong>of</strong> the variation:*t hi- f tt fi^rftffiPEx. 13: Flute solo, measure 177

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