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  2. Mode (music) - Wikipedia

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

    The concept of "mode" in Western music theory has three successive stages: in Gregorian chant theory, in Renaissance polyphonic theory, and in tonal harmonic music of the common practice period. In all three contexts, "mode" incorporates the idea of the diatonic scale , but differs from it by also involving an element of melody type .

  3. Distance model - Wikipedia

    en.wikipedia.org/wiki/Distance_model

    The most common distance model is the 1:2, also known as the octatonic scale (set type 8-28), followed by 1:3 and 1:5, also known as set type 4-9, which is a subset of the 1:2 model. [5] Set type 4-9 has also been referred to as a "Z-Cell."

  4. Geometry Dash - Wikipedia

    en.wikipedia.org/wiki/Geometry_Dash

    Geometry Dash Lite is a free version of the game with advertisements and gameplay restrictions. Geometry Dash Lite includes only main levels 1-19, all tower levels, and a few selected levels that are either Featured, Daily, weekly or Event levels but does not offer the option to create levels or play most player-made levels. It also has a ...

  5. Distance - Wikipedia

    en.wikipedia.org/wiki/Distance

    A metric or distance function is a function d which takes pairs of points or objects to real numbers and satisfies the following rules: The distance between an object and itself is always zero. The distance between distinct objects is always positive. Distance is symmetric: the distance from x to y is always the same as the distance from y to x.

  6. Distance from a point to a line - Wikipedia

    en.wikipedia.org/wiki/Distance_from_a_point_to_a...

    The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line. The formula for calculating it can be derived and expressed in several ways.

  7. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    Music theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo, chord progression, form, and meter. The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory, abstract algebra and number theory.

  8. Analytic geometry - Wikipedia

    en.wikipedia.org/wiki/Analytic_geometry

    The distance formula on the plane follows from the Pythagorean theorem. In analytic geometry, geometric notions such as distance and angle measure are defined using formulas . These definitions are designed to be consistent with the underlying Euclidean geometry .

  9. Metric modulation - Wikipedia

    en.wikipedia.org/wiki/Metric_modulation

    Simplest form of metric modulation, unmarked (= ), in a piece by J.S. Bach. Slow introduction followed by an allegro traditionally taken at double the speed.Sixteenth notes in the old tempo prepare for eighth notes in the new tempo. [1]