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Spiral array model: pitch class, major/minor chord, and major/minor key helices. The model as proposed covers basic pitches, major chords, minor chords, major keys and minor keys, represented on five concentric helices. Starting with a formulation of the pitch helix, inner helices are generated as convex combinations of points on outer ones.
The value of the two products in the chord theorem depends only on the distance of the intersection point S from the circle's center and is called the absolute value of the power of S; more precisely, it can be stated that: | | | | = | | | | = where r is the radius of the circle, and d is the distance between the center of the circle and the ...
Intriguingly, for most chords multiplicity values are less than the actual number of constituent tones—a prediction that has been validated empirically. [citation needed] Pitch salience is the clarity or prominence of a pitch sensation. The root of a major chord in root position has greater pitch salience than other tones in that chord.
A circular segment (in green) is enclosed between a secant/chord (the dashed line) and the arc whose endpoints equal the chord's (the arc shown above the green area). In geometry, a circular segment or disk segment (symbol: ⌓) is a region of a disk [1] which is "cut off" from the rest of the disk by a straight line.
The angle between a chord and the tangent at one of its endpoints is equal to one half the angle subtended at the centre of the circle, on the opposite side of the chord (tangent chord angle). If the angle subtended by the chord at the centre is 90°, then ℓ = r √2, where ℓ is the length of the chord, and r is the radius of the circle.
Tonnetz showing enclosed chords. Capitalized chords ('Xx') are major; others ('xx') are minor. The Tonnetz is the dual graph of Schoenberg's chart of the regions, [6] and of course vice versa. Research into music cognition has demonstrated that the human brain uses a "chart of the regions" to process tonal relationships. [7]
In the life of your child, you easily exchange thousands of words every day, or at the very least every week. And while many of these conversations may seem normal and even fairly inconsequential ...
The concept of harmonic function originates in theories about just intonation.It was realized that three perfect major triads, distant from each other by a perfect fifth, produced the seven degrees of the major scale in one of the possible forms of just intonation: for instance, the triads F–A–C, C–E–G and G–B–D (subdominant, tonic, and dominant respectively) produce the seven ...