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Metric modulation: 2 half notes = 3 half notes or Play with eighth note subdivision for tempo/metre comparison. Thus if the two half notes in 4 4 time at a tempo of quarter note = 84 are made equivalent with three half notes at a new tempo, that tempo will be:
An artificially produced word problem is a genre of exercise intended to keep mathematics relevant. Stephen Leacock described this type: [1] The student of arithmetic who has mastered the first four rules of his art and successfully striven with sums and fractions finds himself confronted by an unbroken expanse of questions known as problems ...
Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
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.
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In chess and other chess-like games, a tempo (from Italian: tempo, lit. 'time') is a "turn" or single move (a half-move or ply made either by White or Black). When a player achieves a desired result in one fewer move, the player is said to "gain a tempo"; conversely, when a player takes one more move than necessary, the player is said to "lose a tempo".
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