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That is, a song or other vocal or instrumental piece can be in the key of C major or A minor, but a song or some other piece cannot be in the key of B diminished or F augmented (although songs or other pieces might include these triads within the triad progression, typically in a temporary, passing role). Three of these four kinds of triads are ...
A major triad has a major third (M3) on the bottom, a minor third (m3) on top, and a perfect fifth (P5) between the outer notes. In harmonic analysis and on lead sheets, a C major chord can be notated as C, CM, CΔ, or Cmaj. A major triad is represented by the integer notation {0, 4, 7}.
Major and minor third in a major chord: major third 'M' on bottom, minor third 'm' on top. Major and minor may also refer to scales and chords that contain a major third or a minor third, respectively. A major scale is a scale in which the third scale degree (the mediant) is a major third above the tonic note.
An augmented triad can be viewed as a major triad in which the perfect fifth interval (spanning 7 semitones) has been substituted with an augmented fifth (8 semitones). A diminished triad can be viewed as a minor triad in which the perfect fifth has been substituted with a diminished fifth (6 semitones).
A minor triad has a minor third (m3) on the bottom, a major third (M3) on top, and a perfect fifth (P5) between the outer notes. In harmonic analysis and on lead sheets, a C minor chord can be notated as Cm, C−, Cmin, or simply the lowercase "c". A minor triad is represented by the integer notation {0, 3, 7}.
Without contrary information, a major third interval and a perfect fifth interval (major triad) are implied. For instance, a C chord is a C major triad, and the name C minor seventh (Cm 7) implies a minor 3rd by rule 1, a perfect 5th by this rule, and a minor 7th by definition (see below). This rule has one exception (see next rule).
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Major and minor keys that share the same key signature are relative to each other. For instance, F major is the relative major of D minor since both have key signatures with one flat. Since the natural minor scale is built on the 6th degree of the major scale, the tonic of the relative minor is a major sixth above the tonic of the major scale ...