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There are much more than three types of scales, but the 3 basic scales are the common major scale (T T S T T T S), the harmonic minor (T S T T S T1/2 S) and the melodic minor (T S T T T T S ascending - T S T T S T T descending). In brackets noticed I labelled the structure of the scale in tones and semitones. T = tone S = semitone T1/2 = minor 3rd/augmented 2nd interval (3 semitones)
k*S + (1-k)*T where k is any number between 0 and 1.
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s = 1/2 g t squared (s = 1/2 gt^2) s = distance g= acceleration of gravity t = time