Harmonic complexity theory

  • What are the characteristics of harmonic music?

    Strong harmonic rhythm is characterized by strong root progressions and emphasis of root positions, weak contrapuntal bass motion, strong rhythmic placement in the measure (especially downbeat), and relatively longer duration..

  • What are the harmonic functions of chords?

    The three harmonic functions are tonic, subdominant and dominant.
    While the I, IV and V chords are the primary tonic, subdominant and dominant chords respectively, for the purposes of understanding harmonic function the other diatonic chords (II, III, VI and VII) also fall into one of these three categories..

  • What is a harmonic approach?

    The Harmonic Approaches.
    The Harmonic approaches describe how each type handles conflict, adversity, and situations in which our needs are not met.
    There are three Harmonic approaches: In practice, we have all three harmonic approaches in us in varying degrees..

  • What is a harmonic function in music?

    Harmonic function refers to the tendency of certain chords to progress to other chords, or to remain at rest.
    Many texts on music theory enumerate three harmonic functions..

  • What is complexity in music?

    Many factors contribute to the perception of musical complexity.
    Finnas (1989) indicates that “Unusual harmonies and timbres, irregular tempi and rhythms, unexpected tone sequences and variations in volume, etc., make the music seem complex” (p. 6)..

  • What is harmonic theory?

    A theory of harmonic functions is based on three fundamental principles: Chords are collections of scale degrees.
    Each scale degree has its own tendencies.
    The collective tendencies of a chord's scale degrees in combination is the chord's function..

  • Harmonic function refers to the tendency of certain chords to progress to other chords, or to remain at rest.
    Many texts on music theory enumerate three harmonic functions.
  • Many factors contribute to the perception of musical complexity.
    Finnas (1989) indicates that “Unusual harmonies and timbres, irregular tempi and rhythms, unexpected tone sequences and variations in volume, etc., make the music seem complex” (p. 6).
  • Strong harmonic rhythm is characterized by strong root progressions and emphasis of root positions, weak contrapuntal bass motion, strong rhythmic placement in the measure (especially downbeat), and relatively longer duration.
In this paper, we present a new model for un- derstanding music harmony in computer systems. The proposed model takes the challenge of filling the gap between 
In this paper, we use this representation to extract quantitative information about harmonic complexity from the analysis of the topology of these networks 
Through a process of chord slicing, we obtain a representation of the score as a complex network, where every chord is a node and each progression (voice 
The harmonic mixer and subharmonic mixer are a type of frequency mixer, which is a circuit that changes one signal frequency to another.
The ordinary mixer has two input signals and one output signal.
If the two input signals are sinewaves at frequencies f1 and f2, then the output signal consists of frequency components at the sum f1+f2 and difference f1−f2 frequencies.
In contrast, the harmonic and subharmonic mixers form sum and difference frequencies at a harmonic multiple of one of the inputs.
The output signal then contains frequencies such as f1+kf2 and f1−kf2 where k is an integer.

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Complexity theory halt
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