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Music And Mathematics ... The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory, abstract algebra and number theory... Time, rhythm and meter Without the boundaries of rhythmic structure – a fundamental equal and regular arrangement of pulse repetitivity, accent, phrase and duration – music would be impossible... The common types of form known as binary and ternary ("twofold" and "threefold") once again demonstrate the importance of small integral values to the intelligibility and appeal of music...

Musical Analysis ... The principle of analysis has been variously criticized, especially by composers, such as Edgard Varèse's claim that, “to explain by means of is to decompose, to mutilate the spirit of a work” (quoted in Bernard 1981, 1). Analyses Some analysts, such as Donald Francis Tovey (whose Essays in Musical Analysis are among the most accessible musical analyses) have presented their analyses in prose...

Paleolithic Flutes ... They suggested music may have helped to maintain bonds between larger groups of humans, and that this may have helped the species to expand both in numbers and in geographical range...

Napster ... Its ease of use led to massive copyright violations of music and film media, as well as other intellectual property... History Although there were already networks that facilitated the distribution of files across the Internet, such as IRC, Hotline, and USENET, Napster specialized exclusively in music in the form of MP3 files and presented a user-friendly interface... The result was a robust system whose popularity generated an enormous selection of music to download – at its peak there were 25 million users and 80 million songs, and the system never once crashed...

Timbre ... In simple terms, timbre is what makes a particular musical sound different from another, even when they have the same pitch and loudness. For instance, it is the difference between a guitar and a piano playing the same note at the same loudness...

Blues ... World War II marked the transition from acoustic to electric blues and the progressive opening of blues music to a wider audience, especially white listeners... Though the use of the phrase in African-American music may be older, it has been attested to since 1912, when Hart Wand's "Dallas Blues" became the first copyrighted blues composition... Form The blues form is a cyclic musical form in which repeating progression of chords mirrors the call and response scheme commonly found in African and African-American music...

Dynamics (music) ... In music for marching band, passages louder than ƒƒƒ are sometimes colloquially referred to by descriptive terms such as "blastissimo"...

Ear Training ... Many musicians use functional pitch recognition in order to identify, understand, and appreciate the roles and meanings of pitches within a key. To this end, scale-degree numbers or movable-do solmization (do, re, mi, etc.) can be quite helpful...

Sheet Music ... (Note: the term score can also refer to incidental music written for a play, television programme or film; for the last of these, see film score.) Purpose and use Sheet music can be used as a record of, a guide to, or a means to perform, a piece of music... Although it does not take the place of the sound of a performed work, sheet music can be studied to create a performance and to elucidate aspects of the music that may not be obvious from mere listening... Many composers have been capable of producing music in printed form without the capacity themselves to read or write in musical notation, as long as an amanuensis of some sort is available...

Popular Music ... "Popular music, unlike art music, is (1) conceived for mass distribution to large and often socioculturally heterogeneous groups of listeners, (2) stored and distributed in non-written form, (3) only possible in an industrial monetary economy where it becomes a commodity and (4) in capitalist societies, subject to the laws of 'free' enterprise, according to which it should ideally sell as much as possible of as little as possible to as many as possible." For Richard Middleton and Peter Manuel, "a common approach to defining popular music is to link popularity with scale of activity", such as "sales of sheet music or recordings"... Another way to define popular music is "to link popularity with means of dissemination" (e.g., being aired on the radio); however, this is problematic, because "all sorts of music, from folk to avant garde, are subject to mass mediation"... A third approach to defining popular music is to based on "social group – either a mass audience or a particular class...

Alternative Rock ... Alternative rock is a broad umbrella term consisting of music that differs greatly in terms of its sound, its social context, and its regional roots... But most alternative bands' commercial success was limited in comparison to other genres of rock and pop music at the time, and most acts remained signed to independent labels and received relatively little attention from mainstream radio, television or newspapers... The term alternative rock Before the term alternative rock came into common usage around 1990, the sort of music to which it refers was known by a variety of terms...

Progressive Rock ... The Oxford Companion to Music states that progressive rock bands ".explored extended musical structures which involved intricate instrumental patterns and textures and often esoteric subject matter." Additionally, the arrangements often incorporated elements drawn from classical, jazz, and later world music... Progressive rock bands sometimes used "concept albums that made unified statements, usually telling an epic story or tackling a grand overarching theme." Progressive rock developed from late 1960s psychedelic rock, as part of a wide-ranging tendency in rock music of this era to draw inspiration from ever more diverse influences... The term was initially applied to the music of British bands such as Pink Floyd, King Crimson, Yes, Genesis, Jethro Tull, and Emerson, Lake & Palmer, reaching its peak of popularity in the mid 1970s...

MMCP – Manhattanville Music Curriculum Project ... Fostering the continued relevance of music to a student in school and contemporary society is a key purpose for MMCP in the areas of: Artistic Relevance – How can students recognize the aesthetic value of music? Personal Relevance – How can music satisfy the personal needs of students? Social Relevance – How can the changing nature of music in our society stay relevant to students as they grow older? MMCP believes presenting music as changing and evolving rather than “static” like western art music increases the interest in new creation... Rather, learning and acquisition of musical information are the byproduct of the “doing” in performing and creating the music... Attitudinal – Students excited about their own creative musical potential and their aesthetic sensitivity to music...

Schenkerian Analysis ... This reflects Schenker's belief that the deep, long–range structure of a piece of music has no particular rhythm... This long–range structure is called the Fundamental Structure (Ursatz) in Schenkerian analysis, while the more surface aspects of the music are called the foreground or surface layer... Although it is a subject of debate among music theorists whether there is a single correct hearing and analysis of a piece of tonal music, even those who hold that there is a unique correct analysis agree that the analysis can only be arrived at and evaluated subjectively by an expert listener...

Consonance And Dissonance ... These may be summarized as simplicity. "A stable tone combination is a consonance; consonances are points of arrival, rest, and resolution." —Roger Kamien (2008), p.41 Dissonance "An unstable tone combination is a dissonance; its tension demands an onward motion to a stable chord...