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Dissonance and Resolution

This analysis explores the concept of dissonance in music, focusing on the relationship between intervals and musical perception in both musicians and nonmusicians. Key topics include critical bandwidth, how partials influence consonance and dissonance, and the role of the tritone in chord progressions. The findings reveal that while nonmusicians prefer certain intervals like major sixths, musicians often embrace more complex sounds. The study emphasizes that the order of notes and the context in which they are played significantly impact the perception of harmony and dissonance.

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Dissonance and Resolution

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  1. Dissonance and Resolution Emily Trentacoste Math 5

  2. Dissonance • Partials of two notes are too close • Critical bandwidth • Dissonant = partial within bandwidth • Consonant = partial outside bandwidth

  3. Intervals and dissonance • Nonmusicians – major thirds, major sixths • Imperfect consonance • Musicians – major fourths, major fifths • Perfect consonance • I found musicians like upper fourths and fifths, not always lower • Nonmusicians prefer major sixths, nobody likes thirds

  4. Major C intervals

  5. Tritones • Tritone = augmented 4th/diminished 5th • Partials are too close • Galileo – frequencies should be proportionate • 1/√2 – not a simple ratio – complex = dissonance

  6. CF#

  7. Consonance by circumstance • Add minor third to bottom of tritone • Add minor third at top of tritone • More notes?

  8. Relative dissonance • Does order of notes matter? • AbF#C, AbCF#, F#AbC, etc. • C is worst to start • “Priming chord” • Includes dissonant interval – less • Unrelated chord – more

  9. Jazz Progression • Tritone substitution – two chords that share tritones can be substituted • ii-V-I progression – ex. Dmin7-G7-Cmaj7 • G7  Db7 (Db is tritone of G)

  10. With A

  11. Summary • Adding particular notes reduces dissonance • Order in which notes played matters • What you hear before matters • Tritone can be used to create more dynamic, interesting progressions

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