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Adverb

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- Since transpositionally related sets share the same normal form, normal forms can be used to label the T n set classes.
- Two musical objects are transpositionally equivalent if one can be transformed into another by transposition.
- This pitch is notated transpositionally as middle C for many of these brass instruments.
- In many musical contexts, transpositionally equivalent chords are thought to be similar.
- Sets related by transposition or inversion are said to be transpositionally related or inversionally related, and to belong to the same set class.
- In classical theory, in contradistinction to jazz theory, this scale is commonly simply called the octatonic scale, although there are forty-two other non-enharmonically equivalent, non-transpositionally equivalent eight-tone sets possible.
- Transpositionally symmetrical sets either divide the octave evenly, or can be written as the union of equally sized sets that themselves divide the octave evenly.
- Among the collection's remarkable features is that it is the only collection that can be disassembled into four transpositionally-related pitch pairs in six different ways, each of which features a different interval class (Cohn).
- Richard argues that inversional symmetry is often a byproduct of another atonal procedure, the formation of chords from transpositionally related dyads.
- "Distinct" in this context means in transpositionally and rotationally normal form (yielding 3856 such series), and disregarding inversionally related forms.
- If we were to begin with a C major scale, for example, we might omit the fourth and the seventh scale degrees, F and B. The remaining notes, C, D, E, G, and A, are transpositionally equivalent to the black keys on a piano keyboard: G-flat, A-flat, B-flat, D-flat, and E-flat.
- The number of distinct operations in a system that map a set into itself is the set's degree of symmetry, Every set has at least one symmetry, as it maps onto itself under the identity operation T 0, Transpositionally symmetric sets map onto themselves for T n where n does not equal 0.
- Igor Stravinsky's ballet Petrushka is characterized by the so-called Petrushka chord, which combines major triads transpositionally related by a tritone.
- The staggered keyboard arrangement separated distant key signatures and aligned octaves and was transpositionally invariant but not generalized, although the abbreviated pedalboard implied 3, 5, and 7 axes for 14 key-notes using three ranks of identical key levers.
- Under the latter definition, a diatonic scale comprises five non-transpositionally equivalent pentachords rather than seven because the Ionian and Mixolydian pentachords and the Dorian and Aeolian pentachords are intervallically identical (CDEFG=GABCD; DEFGA=ABCDE).