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The rod, perch, or pole (sometimes also lug) is a surveyor's tool [1] and unit of length of various historical definitions. In British imperial and US customary units, it is defined as 16 + 1 ⁄ 2 feet, equal to exactly 1 ⁄ 320 of a mile, or 5 + 1 ⁄ 2 yards (a quarter of a surveyor's chain), and is exactly 5.0292 meters.
A set (pitch set, pitch-class set, set class, set form, set genus, pitch collection) in music theory, as in mathematics and general parlance, is a collection of objects. In musical contexts the term is traditionally applied most often to collections of pitches or pitch-classes , but theorists have extended its use to other types of musical ...
This is a list of set classes, by Forte number. [1] A set class (an abbreviation of pitch-class-set class) in music theory is an ascending collection of pitch classes, transposed to begin at zero. For a list of ordered collections, see: list of tone rows and series. Sets are listed with links to their complements. The prime form of ...
The fundamental concept of musical set theory is the (musical) set, which is an unordered collection of pitch classes. [4] More exactly, a pitch-class set is a numerical representation consisting of distinct integers (i.e., without duplicates). [5]
January 19 – The Salzburg Festival is revived. [1]September 4 – City of Birmingham Orchestra (England) first rehearses (in a city police bandroom). Later this month, its first concert, conducted by Appleby Matthews, opens with Granville Bantock's overture Saul; in November it gives its "First Symphony Concert" when Edward Elgar conducts a programme of his own music in Birmingham Town Hall.
More generally, a musical permutation is any reordering of the prime form of an ordered set of pitch classes [7] or, with respect to twelve-tone rows, any ordering at all of the set consisting of the integers modulo 12. [8] In that regard, a musical permutation is a combinatorial permutation from mathematics as it applies to music.
The Techniques of Music program is the foundation for academic musical study in the two divisions at Mannes, encompassing the range of elementary to advanced music theory and aural skills and analysis classes. Music theory was taught at Mannes from its inception, with David Mannes hiring important figures such as Ernest Bloch and Rosario ...
In music theory, equivalence class is an equality or equivalence between properties of sets (unordered) or twelve-tone rows (ordered sets). A relation rather than an operation, it may be contrasted with derivation . [ 1 ] "