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  2. Inversion (music) - Wikipedia

    en.wikipedia.org/wiki/Inversion_(music)

    An interval is inverted by raising or lowering either of the notes by one or more octaves so that the higher note becomes the lower note and vice versa. For example, the inversion of an interval consisting of a C with an E above it (the third measure below) is an E with a C above it – to work this out, the C may be moved up, the E may be lowered, or both may be moved.

  3. Interval (music) - Wikipedia

    en.wikipedia.org/wiki/Interval_(music)

    Since compound intervals are larger than an octave, "the inversion of any compound interval is always the same as the inversion of the simple interval from which it is compounded". [11] For intervals identified by their ratio, the inversion is determined by reversing the ratio and multiplying the ratio by 2 until it is greater than 1.

  4. All-interval tetrachord - Wikipedia

    en.wikipedia.org/wiki/All-interval_tetrachord

    All-interval tetrachords (Play ⓘ).An all-interval tetrachord is a tetrachord, a collection of four pitch classes, containing all six interval classes. [1] There are only two possible all-interval tetrachords (to within inversion), when expressed in prime form.

  5. Roman numeral analysis - Wikipedia

    en.wikipedia.org/wiki/Roman_numeral_analysis

    4 denotes the second inversion (e.g. I 6 4). Inverted seventh chords are similarly denoted by one or two Arabic numerals describing the most characteristic intervals, namely the interval of a second between the 7th and the root: V 7 is the dominant 7th (e.g. G–B–D–F); V 6 5 is its first inversion (B–D–F–G); V 4

  6. Root (chord) - Wikipedia

    en.wikipedia.org/wiki/Root_(chord)

    The concept of root has been extended for the description of intervals of two notes: the interval can either be analyzed as formed from stacked thirds (with the inner notes missing): third, fifth, seventh, etc., (i.e., intervals corresponding to odd numerals), and its low note considered as the root; or as an inversion of the same: second ...

  7. Major fourth and minor fifth - Wikipedia

    en.wikipedia.org/wiki/Major_fourth_and_minor_fifth

    The term major fourth may also be applied to the follow, as minor fifth may be applied to their inversions (in the sense of augmented and diminished): The "comma-deficient major fourth" (or "chromatic major fourth" [3]) is the ratio 25:18, or 568.72 cents (F ♯). [4]

  8. Inversions higher than third - Wikipedia

    en.wikipedia.org/wiki/Inversions_higher_than_third

    The fourth inversion of a ninth chord is the voicing in which the ninth of the chord is the bass note and the root a minor seventh above it. In the fourth inversion of a G-dominant ninth, the bass is A — the ninth of the chord — with the third, fifth, seventh, and root stacked above it, forming the intervals of a second, a fourth, a sixth, and a seventh above the inverted bass of A ...

  9. Seventh chord - Wikipedia

    en.wikipedia.org/wiki/Seventh_chord

    The most common chords are tertian, constructed using a sequence of major thirds (spanning 4 semitones) and/or minor thirds (3 semitones). Since there are 3 third intervals in a seventh chord (4 notes) and each can be major or minor, there are 7 possible permutations (the 8th one, consisted of four major thirds, results in a non-seventh augmented chord, since a major third equally divides the ...