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In mathematics, a zero-dimensional topological space (or nildimensional space) is a topological space that has dimension zero with respect to one of several inequivalent notions of assigning a dimension to a given topological space. [1] A graphical illustration of a zero-dimensional space is a point. [2]
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 ...
For an n-dimensional lattice, identifying n linearly independent commas reduces the dimension of the lattice to zero, meaning that the number of pitches in the lattice is finite; mathematically, its quotient is a finite abelian group. This zero-dimensional set of pitches is a periodicity block.
In instrumental music, a style of playing that imitates the way the human voice might express the music, with a measured tempo and flexible legato. cantilena a vocal melody or instrumental passage in a smooth, lyrical style canto Chorus; choral; chant cantus mensuratus or cantus figuratus (Lat.) Meaning respectively "measured song" or "figured ...
In geometry, a point is an abstract idealization of an exact position, without size, in physical space, [1] or its generalization to other kinds of mathematical spaces.As zero-dimensional objects, points are usually taken to be the fundamental indivisible elements comprising the space, of which one-dimensional curves, two-dimensional surfaces, and higher-dimensional objects consist; conversely ...
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 ...
In 1777, Joseph Haydn's opera "Il mondo della luna"("The world on the moon") premiered. Author and classical music critic David Hurwitz describes Joseph Haydn's choral and chamber orchestra piece, The Creation, composed in 1798, as space music, both in the sense of the sound of the music, ("a genuine piece of 'space music' featuring softly pulsating high violins and winds above low cellos and ...
Space music appears in many film soundtracks and is commonly played in planetariums. [21] According to Hill space music is an eclectic music produced almost exclusively by independent labels and it occupies a small niche in the marketplace, supported and enjoyed by a relatively small audience of loyal enthusiastic listeners. [22]