Doubling the cube given length times . In music theory, a natural analogue of doubling is the octave (a musical interval caused by doubling the frequency of a tone), and a natural analogue of a cube is three repetitions of the same interval. In this sense, the problem of doubling the cube is solved by the major third in equal temperament. This is a musical interval that is exactly one third of an octave. It multiplies the frequency of a tone by , the side length of the Delian cube. Doubling the cube Doubling the cube, also known as the Delian problem, is
Edmund Root as the first commanding officer of . In the 1940s, he headed the naval officer procurement program in Chicago, where he oversaw the area's initial WAVES program. Root served as Naval Governor of Guam from May 15, 1931 to June 21, 1933. Root caused controversy between the United States and Japanese governments in 1933 when he expelled 112 Japanese citizens from Guam after their residence permits expired. The Guam Museum opened during his term. The Edmund S. Root Agricultural School in Guam is named in his honor. Edmund Root Edmund Spence Root (December 27, 1881 – February 27, 1961) was