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The Oxford Companion to Music describes three interrelated uses of the term "music theory": The first is the "rudiments", that are needed to understand music notation (key signatures, time signatures, and rhythmic notation); the second is learning scholars' views on music from antiquity to the present; the third is a sub-topic of musicology ...
Lagrange extrapolations of the sequence 1,2,3. Extrapolating by 4 leads to a polynomial of minimal degree ( cyan line). A polynomial curve can be created through the entire known data or just near the end (two points for linear extrapolation, three points for quadratic extrapolation, etc.).
For music of the Classical period, "interpolation" is defined in the context of a musical sentence or period as "unrelated material inserted between two logically succeeding functions". [ 1 ] This device is commonly used to extend what would normally be a regular phrase into an irregular and extended phrase.
Interpolation is prevalent in many genres of popular music; early examples are the Beatles interpolating "La Marseillaise" and "She Loves You", among three other interpolations in the 1967 song "All You Need Is Love", [3] and Lyn Collins interpolating lyrics from the 5 Royales' "Think" in her similarly titled 1972 song "Think (About It)".
Music theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo , chord progression , form , and meter . 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 .
In instrumental music, a style of playing that imitates the way the human voice might express the music, with a measured tempo and flexible legato. cantilena a vocal melody or instrumental passage in a smooth, lyrical style canto Chorus; choral; chant cantus mensuratus or cantus figuratus (Lat.) Meaning respectively "measured song" or "figured ...
According to music theorist Ian Bent, music analysis "is the means of answering directly the question 'How does it work?'". [2] The method employed to answer this question, and indeed exactly what is meant by the question, differs from analyst to analyst, and according to the purpose of the analysis.
In theory, "music history" could refer to the study of the history of any type or genre of music, such as the music of India or rock music. In practice, these research topics are more often considered within ethnomusicology and "historical musicology" is typically assumed to imply Western Art music of the European tradition.