• Journal of the Korea Convergence Society
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• v.8 no.9
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• pp.265-270
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• 2017

This study purposed to investigate harmonic compositions and progressions that are appropriate for emotion vocabulary. In study 1, eight(8) professional music therapists were asked to provide harmonic compositions and progressions reflecting the tonal characteristics of emotion vocabulary and the rationales. Various attributes of harmonic compositions and progressions were examined and the content analysis were administered. In study 2, the obtained data on study 1 were evaluated by 124 music therapy and music majors for the validity. In the first study, analyzed results showed that 'happy' vocabulary utilized major, tonic, consecutive chord changes, 'angry' vocabulary utilized minor, augmented, $9^{th}$, $11^{th}$, unsolved $7^{th}$ chord progression, 'sad' vocabulary utilized minor, diminish, chromatic chord progressions. In the second study, there was statistically significant difference with 'happy' vocabulary. These results can provide basic evidences for musical ideas of harmonic compositions and progressions to better communicate emotional aspects of lyrical messages when composing melody in a song.

• Communications of Mathematical Education
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• v.28 no.2
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• pp.219-234
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• 2014

Music and mathematics have a lot of structural similarities. Major and minor triads used importantly in music are in a relationship of inversion in which the sequence of the intervals is reversed, which is equivalent to reflection in mathematics. Geometrical expressions help understand structures in music as well as mathematics, and a diagram that shows tonal relationships in music is called Tonnetz. Relationships of reflection between major and minor triads can easily be understood by using Tonnetz, and also, transpositions can be expressed in translation. This study looks into existing Tonnetz and introduces S-Tonnetz newly formed by a mathematical principle.