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A whole tone is a secondary interval, being derived from two perfect fifths minus an octave, (3:2) 2 /2 = 9:8. The just major third, 5:4 and minor third, 6:5, are a syntonic comma , 81:80, apart from their Pythagorean equivalents 81:64 and 32:27 respectively.
The minor sector is shaded in green while the major sector is shaded white. A circular sector, also known as circle sector or disk sector or simply a sector (symbol: ⌔), is the portion of a disk (a closed region bounded by a circle) enclosed by two radii and an arc, with the smaller area being known as the minor sector and the larger being the major sector. [1]
In geometry, a disk (also spelled disc) [1] is the region in a plane bounded by a circle. A disk is said to be closed if it contains the circle that constitutes its boundary, and open if it does not. [2] For a radius, , an open disk is usually denoted as and a closed disk is ¯.
Ptolemy used a circle of diameter 120, and gave chord lengths accurate to two sexagesimal (base sixty) digits after the integer part. [2] The chord function is defined geometrically as shown in the picture. The chord of an angle is the length of the chord between two points on a unit circle separated by that central angle.
The duration (note length or note value) is indicated by the form of the note-head or with the addition of a note-stem plus beams or flags. A stemless hollow oval is a whole note or semibreve, a hollow rectangle or stemless hollow oval with one or two vertical lines on both sides is a double whole note or breve.
It is a special case of a chord, namely the longest chord for a given circle, and its length is twice the length of a radius. Disc: the region of the plane bounded by a circle. In strict mathematical usage, a circle is only the boundary of the disc (or disk), while in everyday use the term "circle" may also refer to a disc.
On April 2, 2012, Third Man Records released 1000 flexi discs tied to blue helium balloons into the air in Nashville, Tennessee. The discs contained the first release of "Freedom At 21", a track on Jack White's debut solo album, Blunderbuss. It is estimated that fewer than 100 of the discs will ever be found and they will be a valuable ...
Music theorists sometimes use mathematics to understand music, and although music has no axiomatic foundation in modern mathematics, mathematics is "the basis of sound" and sound itself "in its musical aspects... exhibits a remarkable array of number properties", simply because nature itself "is amazingly mathematical". [87]