Whole-tone Scale
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Whole-tone Scale
In music, a whole-tone scale is a scale in which each note is separated from its neighbors by the interval of a whole tone. In twelve-tone equal temperament, there are only two complementary whole-tone scales, both six-note or '' hexatonic'' scales. A single whole-tone scale can also be thought of as a "six-tone equal temperament". : : The whole-tone scale has no leading tone and because all tones are the same distance apart, "no single tone stands out, ndthe scale creates a blurred, indistinct effect". This effect is especially emphasised by the fact that triads built on such scale tones are all augmented triads. Indeed, all six tones of a whole-tone scale can be played simply with two augmented triads whose roots are a major second apart. Since they are symmetrical, whole-tone scales do not give a strong impression of the tonic or tonality. The composer Olivier Messiaen called the whole-tone scale his first mode of limited transposition. The composer and music t ...
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Maximal Evenness
In scale (music) theory, a maximally even set (scale) is one in which every generic interval has either one or two consecutive integers specific intervals-in other words a scale whose notes (pcs) are "spread out as much as possible." This property was first described by John Clough and Jack Douthett. Clough and Douthett also introduced the maximally even algorithm. For a chromatic cardinality ''c'' and pc-set cardinality ''d'' a maximally even set is D = where ''k'' ranges from 0 to ''d'' − 1 and ''m'', 0 ≤ ''m'' ≤ ''c'' − 1 is fixed and the bracket pair is the floor function. A discussion on these concepts can be found in Timothy Johnson's book on the mathematical foundations of diatonic scale theory. Jack Douthett and Richard Krantz introduced maximally even sets to the mathematics literature. A scale is said to have Myhill's property if every generic interval comes in two specific interval sizes, and a scale with Myhill's property is said to be a well-formed s ...
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Tonality
Tonality is the arrangement of pitch (music), pitches and / or chord (music), chords of a musical work in a hierarchy of perceived ''relations'', ''stabilities'', ''attractions'', and ''directionality''. In this hierarchy, the single pitch or the root (music), root of a triad (music), triad with the greatest ''stability'' in a melody or in its harmony is called the tonic (music), ''tonic''. In this context "stability" approximately means that a pitch occurs frequently in a melody – and usually is the final note – or that the pitch often appears in the harmony, even when it is not the pitch used in the melody. The ''root'' of the tonic triad forms the name given to the key (music), key, so in the key of C major, C major the note C can be both the tonic of the scale (music), scale and the root of the tonic triad. However, the tonic can be a different Musical tone, tone in the same scale, and then the work is said to be in one of the mode (music), ''modes'' of that ...
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Proceedings Of The Royal Musical Association
In academia and librarianship, conference proceedings are a collection of academic papers published in the context of an academic conference or workshop. Conference proceedings typically contain the contributions made by researchers at the conference. They are the written record of the work that is presented to fellow researchers. In many fields, they are published as supplements to academic journals; in some, they are considered the main dissemination route; in others they may be considered grey literature. They are usually distributed in printed or electronic volumes, either before the conference opens or after it has closed. A less common, broader :wikt:proceedings, meaning of proceedings are the acts and happenings of an discipline (academia), academic field, a learned society. For example, the title of the ''Acta Crystallographica'' journals is Neo-Latin for "Proceedings in Crystallography"; the ''Proceedings of the National Academy of Sciences of the United States of America' ...
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