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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".
Joseph Horowitz has suggested that the "dissonant star clusters" in its third and fourth books were particularly compelling to Olivier Messiaen, who called Iberia "the wonder of the piano". [31] The Thomas de Hartmann score for Wassily Kandinsky's stage show The Yellow Sound (1909) employs a chromatic cluster at two climactic points. [32]
List of musical scales and modes Name Image Sound Degrees Intervals Integer notation # of pitch classes Lower tetrachord Upper tetrachord Use of key signature usual or unusual 15 equal temperament: 15-tet scale on C. Play ⓘ — — — 15 — — — 16 equal temperament: 16-tet scale on C. Play ⓘ — — — 16 — — 17 equal temperament ...
In music, 72 equal temperament, called twelfth-tone, 72 TET, 72 EDO, or 72 ET, is the tempered scale derived by dividing the octave into twelfth-tones, or in other words 72 equal steps (equal frequency ratios).
In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is a tempered scale derived by dividing the octave into 15 equal steps (equal frequency ratios). Each step represents a frequency ratio of 15 √ 2 (=2 (1/15) ), or 80 cents ( Play ⓘ ).
Aliquot stringing is the use of extra, un-struck strings in a piano for the purpose of enriching the tone. Aliquot systems use an additional (hence fourth) string in each note of the top three piano octaves. This string is positioned slightly above the other three strings so that it is not struck by the hammer.
For example, a group of piano miniatures (Op. 58, Op. 59/2, Op. 61, Op. 63, Op. 67/1 and Op. 69/1) are governed by the acoustic and/or the octatonic scales. [ 9 ] Contrary to many textbook descriptions of the chord, which present the sonority as a series of superposed fourths, Scriabin most often manipulated the voicings to produce a variety of ...
Cover of Orgelprobe (1681). As used in the 17th century, the term "well tempered" meant that the twelve notes per octave of the standard keyboard were tuned in such a way that it was possible to play music in all major or minor keys that were commonly in use, without sounding perceptibly out of tune.