Arms never hang passively. They initiate movement, support turns, and reflect musical phrasing. Famous Vaganova arm patterns (1st, 2nd, 3rd, and the transitional petit and grand port de bras ) are taught with strict coordination of breathing.
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(If your PDF includes visuals, note that she added a 3rd position of the arms and distinguished between preparatory, small, and large port de bras – features not found in Cecchetti or French methods.) Arms never hang passively