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Hemiola
In music, hemiola (also hemiolia) is the ratio 3:2. The equivalent Latin term is sesquialtera. In rhythm, ''hemiola'' refers to three beats of equal value in the time normally occupied by two beats. In pitch, ''hemiola'' refers to the interval of a perfect fifth. Etymology The word ''hemiola'' comes from the Greek adjective ἡμιόλιος, ''hemiolios'', meaning "containing one and a half," "half as much again," "in the ratio of one and a half to one (3:2), as in musical sounds." The words "hemiola" and "sesquialtera" both signify the ratio 3:2, and in music were first used to describe relations of pitch. Dividing the string of a monochord in this ratio produces the interval of a perfect fifth. Beginning in the 15th century, both words were also used to describe rhythmic relationships, specifically the substitution (usually through the use of coloration—red notes in place of black ones, or black in place of "white", hollow noteheads) of three imperfect notes (divided into t ...
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Perfect Fifth
In music theory, a perfect fifth is the musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so. In classical music from Western culture, a fifth is the interval from the first to the last of five consecutive notes in a diatonic scale. The perfect fifth (often abbreviated P5) spans seven semitones, while the diminished fifth spans six and the augmented fifth spans eight semitones. For example, the interval from C to G is a perfect fifth, as the note G lies seven semitones above C. The perfect fifth may be derived from the harmonic series as the interval between the second and third harmonics. In a diatonic scale, the dominant note is a perfect fifth above the tonic note. The perfect fifth is more consonant, or stable, than any other interval except the unison and the octave. It occurs above the root of all major and minor chords (triads) and their extensions. Until the late 19th century, it was often referred to by one of i ...
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Cross-beat
In music, a cross-beat or cross-rhythm is a specific form of polyrhythm. The term ''cross rhythm '' was introduced in 1934 by the musicologist Arthur Morris Jones (1889–1980). It refers to when the rhythmic conflict found in polyrhythms is the basis of an entire musical piece. Etymology The term "cross rhythm" was introduced in 1934 by the musicologist Arthur Morris Jones (1889–1980), who, with Klaus Wachsmann, took-up extended residence in Zambia and Uganda, respectively, as missionaries, educators, musicologists, and museologists. African music One main system African cross-rhythm is most prevalent within the greater Niger-Congo linguistic group, which dominates the continent south of the Sahara Desert. (Kubik, p. 58) Cross-rhythm was first identified as the basis of sub-Saharan rhythm by A.M. Jones. Later, the concept was more fully explained in the lectures of Ewe master drummer and scholar C.K. Ladzekpo, and in the writings of David Locke. Jones obser ...
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Polyrhythm
Polyrhythm is the simultaneous use of two or more rhythms that are not readily perceived as deriving from one another, or as simple manifestations of the same meter. The rhythmic layers may be the basis of an entire piece of music ( cross-rhythm), or a momentary section. Polyrhythms can be distinguished from irrational rhythms, which can occur within the context of a single part; polyrhythms require at least two rhythms to be played concurrently, one of which is typically an irrational rhythm. Concurrently in this context means within the same rhythmic cycle. The underlying pulse, whether explicit or implicit can be considered one of the concurrent rhythms. For example, the son clave is poly-rhythmic because its 3 section suggests a different meter from the pulse of the entire pattern. In western art music In some European art music, polyrhythm periodically contradicts the prevailing meter. For example, in Mozart's opera ''Don Giovanni'', two orchestras are heard playing t ...
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3 Over 2
3/2 may refer to: * March 2 (month-day date notation) * 3 February (day-month date notation) *The fraction for one and one half ( = ), or in decimal form 1.5 * Just perfect fifth * 3rd Battalion 2nd Marines *A triple metre time signature *A common aspect ratio (image) *Hemiola In music, hemiola (also hemiolia) is the ratio 3:2. The equivalent Latin term is sesquialtera. In rhythm, ''hemiola'' refers to three beats of equal value in the time normally occupied by two beats. In pitch, ''hemiola'' refers to the interval of ...
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Music
Music is generally defined as the art of arranging sound to create some combination of form, harmony, melody, rhythm or otherwise expressive content. Exact definitions of music vary considerably around the world, though it is an aspect of all human societies, a cultural universal. While scholars agree that music is defined by a few specific elements, there is no consensus on their precise definitions. The creation of music is commonly divided into musical composition, musical improvisation, and musical performance, though the topic itself extends into academic disciplines, criticism, philosophy, and psychology. Music may be performed or improvised using a vast range of instruments, including the human voice. In some musical contexts, a performance or composition may be to some extent improvised. For instance, in Hindustani classical music, the performer plays spontaneously while following a partially defined structure and using characteristic motifs. In modal ...
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John Tyrrell (musicologist)
John Tyrrell (17 August 1942 – 4 October 2018) was a British musicologist. He published several books on Leoš Janáček, including an authoritative and largely definitive two-volume biography. Early life Tyrrell was born in Salisbury, Southern Rhodesia (now Harare, Zimbabwe), he studied at the universities of Cape Town, Oxford and Brno. He pursued his Bachelor of Music at the University of Cape Town following which he moved to Oxford University to pursue a doctoral degree under the supervision of Edmund Rubbra Career Tyrrell started his career working in an editorial capacity at The Musical Times. He was a Lecturer in Music at the University of Nottingham (1976), becoming Reader in Opera Studies (1987) and Professor (1996). From 1996 to 2000 he was Executive Editor of the second edition of ''The New Grove Dictionary of Music and Musicians'' (2001). From 2000-08, he was Research Professor at Cardiff University. He received numerous awards and honours throughout his ca ...
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Ghanaian Gyil
Ghana (; tw, Gaana, ee, Gana), officially the Republic of Ghana, is a country in West Africa. It abuts the Gulf of Guinea and the Atlantic Ocean to the south, sharing borders with Ivory Coast in the west, Burkina Faso in the north, and Togo in the east.Jackson, John G. (2001) ''Introduction to African Civilizations'', Citadel Press, p. 201, . Ghana covers an area of , spanning diverse biomes that range from coastal savannas to tropical rainforests. With nearly 31 million inhabitants (according to 2021 census), Ghana is the second-most populous country in West Africa, after Nigeria. The capital and largest city is Accra; other major cities are Kumasi, Tamale, and Sekondi-Takoradi. The first permanent state in present-day Ghana was the Bono state of the 11th century. Numerous kingdoms and empires emerged over the centuries, of which the most powerful were the Kingdom of Dagbon in the north and the Ashanti Empire in the south. Beginning in the 15th century, the Portugues ...
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Ostinato
In music, an ostinato (; derived from Italian word for ''stubborn'', compare English ''obstinate'') is a motif or phrase that persistently repeats in the same musical voice, frequently in the same pitch. Well-known ostinato-based pieces include classical compositions such as Ravel's ''Boléro'' and the '' Carol of the Bells'', and popular songs such as Donna Summer and Giorgio Moroder's " I Feel Love" (1977), Henry Mancini's theme from '' Peter Gunn'' (1959), The Who's " Baba O'Riley" (1971), and The Verve's "Bitter Sweet Symphony" (1997). Both ''ostinatos'' and ''ostinati'' are accepted English plural forms, the latter reflecting the word's Italian etymology. The repeating idea may be a rhythmic pattern, part of a tune, or a complete melody in itself. Kamien, Roger (1258). ''Music: An Appreciation'', p. 611. . Strictly speaking, ostinati should have exact repetition, but in common usage, the term covers repetition with variation and development, such as the alteration of ...
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Gyil
The balafon is a gourd-resonated xylophone, a type of struck idiophone. It is closely associated with the neighbouring Mandé, Senoufo and Gur peoples of West Africa, particularly the Guinean branch of the Mandinka ethnic group, but is now found across West Africa from Guinea to Mali. Its common name, ''balafon'', is likely a European coinage combining its Mandinka name ''bala'' with the word ''fôn'' 'to speak' or the Greek root ''phono''. History Believed to have been developed independently of the Southern African and South American instrument now called the marimba, oral histories of the balafon date it to at least the rise of the Mali Empire in the 12th century CE. Balafon is a Manding name, but variations exist across West Africa, including the ''balangi'' in Sierra Leone and the #Gyil, gyil of the Dagara, Lobi and Gurunsi from Ghana, Burkina Faso and Ivory Coast. Similar instruments are played in parts of Central Africa, with the ancient Kingdom of Kongo denoting the ...
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Gyil
The balafon is a gourd-resonated xylophone, a type of struck idiophone. It is closely associated with the neighbouring Mandé, Senoufo and Gur peoples of West Africa, particularly the Guinean branch of the Mandinka ethnic group, but is now found across West Africa from Guinea to Mali. Its common name, ''balafon'', is likely a European coinage combining its Mandinka name ''bala'' with the word ''fôn'' 'to speak' or the Greek root ''phono''. History Believed to have been developed independently of the Southern African and South American instrument now called the marimba, oral histories of the balafon date it to at least the rise of the Mali Empire in the 12th century CE. Balafon is a Manding name, but variations exist across West Africa, including the ''balangi'' in Sierra Leone and the #Gyil, gyil of the Dagara, Lobi and Gurunsi from Ghana, Burkina Faso and Ivory Coast. Similar instruments are played in parts of Central Africa, with the ancient Kingdom of Kongo denoting the ...
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Shape
A shape or figure is a graphical representation of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture, or material type. A plane shape or plane figure is constrained to lie on a '' plane'', in contrast to ''solid'' 3D shapes. A two-dimensional shape or two-dimensional figure (also: 2D shape or 2D figure) may lie on a more general curved '' surface'' (a non-Euclidean two-dimensional space). Classification of simple shapes Some simple shapes can be put into broad categories. For instance, polygons are classified according to their number of edges as triangles, quadrilaterals, pentagons, etc. Each of these is divided into smaller categories; triangles can be equilateral, isosceles, obtuse, acute, scalene, etc. while quadrilaterals can be rectangles, rhombi, trapezoids, squares, etc. Other common shapes are points, lines, planes, and conic sections such as ellipses, circles, and parabolas. A ...
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Rhythmic Cell
The 1957 ''Encyclopédie Larousse''quoted in Nattiez, Jean-Jacques (1990). ''Music and Discourse: Toward a Semiology of Music'' (''Musicologie générale et sémiologue'', 1987). Translated by Carolyn Abbate (1990). . defines a cell in music as a "small rhythmic and melodic design that can be isolated, or can make up one part of a thematic context". The cell may be distinguished from the figure or motif: the 1958 ''Encyclopédie Fasquelle'' defines a cell as "the smallest indivisible unit", unlike the motif, which may be divisible into more than one cell. "A cell can be developed, independent of its context, as a melodic fragment, it can be used as a developmental motif. It can be the source for the whole structure of the work; in that case it is called a generative cell." A rhythmic cell is a cell without melodic connotations. It may be entirely percussive or applied to different melodic segments. History The term "cell" (German: ''Keim'') derives from organic music theorists ...
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