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  2. Pitch space - Wikipedia

    en.wikipedia.org/wiki/Pitch_space

    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 ...

  3. List of musical symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_musical_symbols

    Musical symbols are marks and symbols in musical notation that indicate various aspects of how a piece of music is to be performed. There are symbols to communicate information about many musical elements, including pitch, duration, dynamics, or articulation of musical notes; tempo, metre, form (e.g., whether sections are repeated), and details about specific playing techniques (e.g., which ...

  4. Berklee method - Wikipedia

    en.wikipedia.org/wiki/Berklee_method

    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 ⓘ

  5. Pitch class space - Wikipedia

    en.wikipedia.org/wiki/Pitch_class_space

    In music theory, pitch-class space is the circular space representing all the notes (pitch classes) in a musical octave. In this space, there is no distinction between tones separated by an integral number of octaves. For example, C4, C5, and C6, though different pitches, are represented by the same point in pitch class space.

  6. Spiral array model - Wikipedia

    en.wikipedia.org/wiki/Spiral_array_model

    In music theory, the spiral array model is an extended type of pitch space. A mathematical model involving concentric helices (an "array of spirals"), it represents human perceptions of pitches, chords, and keys in the same geometric space. It was proposed in 2000 by Elaine Chew in her MIT doctoral thesis Toward a Mathematical Model of Tonality ...

  7. Interval class - Wikipedia

    en.wikipedia.org/wiki/Interval_class

    Interval class Play ⓘ.. In musical set theory, an interval class (often abbreviated: ic), also known as unordered pitch-class interval, interval distance, undirected interval, or "(even completely incorrectly) as 'interval mod 6'" (Rahn 1980, 29; Whittall 2008, 273–74), is the shortest distance in pitch class space between two unordered pitch classes.

  8. Tonnetz - Wikipedia

    en.wikipedia.org/wiki/Tonnetz

    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 ...

  9. Fundamental structure - Wikipedia

    en.wikipedia.org/wiki/Fundamental_structure

    The minimal Ursatz: a line supported by an arpeggiation of the bass. Play ⓘ.. In Schenkerian analysis, the fundamental structure (German: Ursatz) describes the structure of a tonal work as it occurs at the most remote (or "background") level and in the most abstract form.