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The simplest pitch space model is the real line. A fundamental frequency f is mapped to a real number p according to the equation = + (/) This creates a linear space in which octaves have size 12, semitones (the distance between adjacent keys on the piano keyboard) have size 1, and middle C is assigned the number 60, as it is in MIDI. 440 Hz is the standard frequency of 'concert A', which ...
For example, Berklee Music Theory - Book 2 recommends the following accompaniment for a given lead sheet, [2] while this progression does not occur in common practice theory since all the chords are seventh chords and unprepared dissonant. Accompaniment acceptable in the Berklee method [2] but not in common practice theory. Play ⓘ
The "transformations" of transformational theory are typically modeled as functions that act over some musical space S, meaning that they are entirely defined by their inputs and outputs: for instance, the "ascending major third" might be modeled as a function that takes a particular pitch class as input and outputs the pitch class a major third above it.
In organ performance, block harmony means that close position chords are added below the melody in the right hand, and the left hand doubles the melody an octave lower, while in open harmony the middle note of the chord is played an octave lower creating an "open" space in the chord.
In music, especially Schenkerian analysis, a voice exchange (German: Stimmtausch; also called voice interchange) is the repetition of a contrapuntal passage with the voices' parts exchanged; for instance, the melody of one part appears in a second part and vice versa.
Neo-Riemannian theory is a loose collection of ideas present in the writings of music theorists such as David Lewin, Brian Hyer, Richard Cohn, and Henry Klumpenhouwer. What binds these ideas is a central commitment to relating harmonies directly to each other, without necessary reference to a tonic .
Euler's Tonnetz. The Tonnetz originally appeared in Leonhard Euler's 1739 Tentamen novae theoriae musicae ex certissismis harmoniae principiis dilucide expositae.Euler's Tonnetz, pictured at left, shows the triadic relationships of the perfect fifth and the major third: at the top of the image is the note F, and to the left underneath is C (a perfect fifth above F), and to the right is A (a ...
Schenker intended his theory as an exegesis of musical "genius" or the "masterwork", ideas that were closely tied to German nationalism and monarchism. [5] The canon represented in his analytical work therefore is almost entirely made up of German music of the common practice period (especially that of Johann Sebastian Bach, Carl Philipp Emanuel Bach, Joseph Haydn, Wolfgang Amadeus Mozart ...