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Comparison between tunings: Pythagorean, equal-tempered, quarter-comma meantone, and others.For each, the common origin is arbitrarily chosen as C. The degrees are arranged in the order or the cycle of fifths; as in each of these tunings except just intonation all fifths are of the same size, the tunings appear as straight lines, the slope indicating the relative tempering with respect to ...
The typical range lies between 1 ⁄ 2 to 2 ⁄ 3 inch (12.7 to 16.9 mm) for the UK/US size system and 4 ⁄ 3 to 5 ⁄ 3 cm (13.3 to 16.7 mm) for the European size system, but may extend to 1 ⁄ 4 to 3 ⁄ 4 inch (6.4 to 19.1 mm) and 2 ⁄ 3 to 6 ⁄ 3 cm (6.7 to 20.0 mm).
[9] [10] The five-eighth is therefore considered one of the most important positions, often referred to as a 'play maker', assuming a decision-making role on the field. [ 11 ] [ 12 ] Over time, however, as the game has evolved, the roles of the two halves have grown more aligned and difficult to distinguish. [ 13 ]
The sides are at a flank angle of Θ = 27.5° perpendicular to the axis. Thus, if the thread pitch is p , the height of the fundamental triangle is H = p /(2tan Θ ) = 0.96049106 p . However, the top and bottom 1 ⁄ 6 of each of these triangles is cut off, so the actual depth of thread (the difference between major and minor diameters) is 2 ...
A tiling with squares whose side lengths are successive Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13 and 21 The Fibonacci numbers were first described in Indian mathematics as early as 200 BC in work by Pingala on enumerating possible patterns of Sanskrit poetry formed from syllables of two lengths.
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