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In this chromatic transposition, the melody on the first line is in the key of D, while the melody on the second line is identical except that it is a major third lower, in the key of B ♭. In music, transposition refers to the process or operation of moving a collection of notes (pitches or pitch classes) up or down in pitch by a constant ...
A transposing instrument is a musical instrument for which music notation is not written at concert pitch (concert pitch is the pitch on a non-transposing instrument such as the piano). For example, playing a written middle C on a transposing instrument produces a pitch other than middle C; that sounding pitch identifies the interval of ...
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]
Transposition and inversion can be represented as elementary arithmetic operations. If x is a number representing a pitch class, its transposition by n semitones is written T n = x + n mod 12. Inversion corresponds to reflection around some fixed point in pitch class space.
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".
In its most strict definition, therefore, a diatonic scale is one that may be derived from the pitches represented in successive white keys of the piano (or a transposition thereof). This would include the major scale , and the natural minor scale (same as the descending form of the melodic minor ), but not the old ecclesiastical church modes ...
Transformations include multiplication, rotation, permutation (i.e. transposition, inversion, and retrograde), prolation (augmentation, diminution) and combinations thereof. Transformations may also be applied to simpler or more complex variables such as interval and spectrum or timbre.
Transposition (law), the incorporation of the provisions of a European Union directive into a Member State's domestic law Transposition (music), moving a note or collection of notes up or down in pitch by a constant number of semitones