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    UNIT 2: CHORDS

    A chord, in music, is any harmonic set of superposed notes sounding simultaneously.
    The most frequently encountered chords are triads, so called because they
    consist of three distinct notes: the root note, and intervals of a third and
    a fifth above the root note. There are also the seventh chords that are rarely
    found in music, those are made by adding another third above the fifth of the
    triad.

    2.1. Triads

    A triad is any three-tone chord. Blow is tried on musical staff and on the piano.

    The triads built on the tonic, subdominant, and dominant are often referred to as
    the primary triads because of their strong relationship to each other. The tonic
    stands in the center of the tonal system, with the dominant a perfect fifth above
    and the subdominant a perfect fifth below.

    The roots of these triads begin on the first, fourth, and fifth degrees (respectively)
    of the diatonic scale, otherwise symbolized: I, IV, and V (again, respectively).
    Primary triads, «express function clearly and unambiguously. The other triads
    of the diatonic key include the supertonic, mediant, sub-mediant, and leadingtone,
    whose roots begin on the second, third, sixth, and seventh degrees
    (respectively) of the diatonic scale, otherwise symbolized: ii, iii, vi, and viio (again,

    respectively). They function as auxiliary or supportive triads to the primary triads.

    Apart from the primary triads, name the secondary triads

    2.1.1. Types of triads

    There are four types of triads in common use. They are identified by their quality
    names: major, minor, diminished and augmented. They are named so basing on
    the qualities of intervals that are between the three notes that make a triad. So,
    it is based on the number of semi tones where a major third has four semi tones,
    a minor has 3 semi tones, a perfect 5th has 7 semi tones and when a semi tone
    is increased on them, it becomes augmented and when reduced by a semi tone
    it becomes diminished.

    a) Major triad
    A major triad consists of a major third and a perfect fifth. M3 + P5 = Major Triad

    M3

    b) Minor triad

    A minor triad consists of a minor third and a perfect fifth. m3 + P5 = Minor Triad

    c) Diminished triad
    A diminished triad consists of a minor third and a diminished fifth. m3 + d5 =

    Diminished Triad.

    d) Augmented triad
    An augmented triad consists of a major third and an augmented fifth. M3 + A5

    = Augmented Triad.

    The following are different triads with their names:

    2.1.2. Triad name
    You can construct a triad on any of the scale degrees. The triad has the same
    function name as the individual pitch. Both the pitch C and the C major triad are
    the Tonic, Supertonic, Mediant, Subdominant, Dominant Submediant, Leading

    Tone and Tonic.

    Practice1:



    Practice2:





    2.2. Triad position



    A triad is found in root position or inverted. Triad position identifies the note of
    the chord that appears as the lowest-sounding pitch of the harmony. Any of the
    three notes of the triad can appear as the lowest-sounding pitch.

    a) Root position
    The term root refers to the note on which a triad is built. “C major triad” refers
    to a major triad whose root is C. The root is the pitch from which a triad is

    generated.


    No matter what the arrangement of the third and fifth factors, the triad is in root
    position if the root of the triad is the lowest-sounding pitch.

    b) Inversion of triads

    An inversion of a triad occurs when the root is not the lowest-sounding pitch.

    i) First inversion:
    No matter what the arrangement of the root and fifth factors, the triad is in first
    inversion if the third factor is the lowest-sounding pitch. This means that in
    the first inversion, the third note of the root is maintained as the lowest in the
    inverted triad.

    Given the following triad:


    This shows how the root “C note” and the fifth degree “G note” moved up but
    the third degree “E note” remained.

    ii) Second inversion:
    No matter what the arrangement of the root and third factors, the triad is in
    second inversion if the fifth factor is the lowest-sounding pitch.

    On this triad:


    This shows how the root “C note” and the third degree “E note” moved up but

    the fifth degree “G note” remained.





    UNIT 1: MATHEMATICS UNIT 10 COMPLEX TIME SIGNATUREUNIT 3: MUSICAL PERFORMANCE TECHNIQUES