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Diatonic transposition is scalar transposition within a diatonic scale (the most common kind of scale, indicated by one of a few standard key signatures). For example, transposing the pitches C 4 –E 4 –G 4 up two steps in the familiar C major scale gives the pitches E 4 –G 4 –B 4.
12 tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequencies of any adjacent pair of notes is the same.
A common tone is a pitch class that is a member of, or common to, a musical scale and a transposition of that scale, as in modulation. [1] Six of seven possible common tones are shared by closely related keys, though keys may also be thought of as more or less closely related according to their number of common tones. "Obviously, tonal distance ...
Since they are seldom played in concert with other instruments and carillonneurs need standardized sheet music, carillons often transpose to a variety of keys—whichever is advantageous for the particular installation; many transposing carillons weigh little, have many bells, or were constructed on limited funds. [2]
Modes of limited transposition are musical modes or scales that fulfill specific criteria relating to their symmetry and the repetition of their interval groups. These scales may be transposed to all twelve notes of the chromatic scale, but at least two of these transpositions must result in the same pitch classes, thus their transpositions are "limited".
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A transposition table is a cache of previously seen positions, and associated evaluations, in a game tree generated by a computer game playing program. If a position recurs via a different sequence of moves, the value of the position is retrieved from the table, avoiding re-searching the game tree below that position.
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