Flute The wood is usually African Blackwood. The standard concert flute is pitched in C and has a range of three octaves starting from middle C or one half step lower when a B foot is attached. This means the concert flute is one of the highest common orchestra and concert band instruments. The piccolo plays an octave higher than the regular treble flute. Lower members of the flute family include the G alto and C bass flutes that are used occasionally, and are pitched a perfect fourth and an octave below the concert flute, respectively. The contrabass, double contrabass, and
Smallest-circle problem Smallest-circle problem The smallest-circle problem or minimum covering circle problem is a mathematical problem of computing the smallest circle that contains all of a given set of points in the Euclidean plane. The corresponding problem in "n"-dimensional space, the smallest bounding-sphere problem, is to compute the smallest "n"-sphere that contains all of a given set of points. The smallest-circle problem was initially proposed by the English mathematician James Joseph Sylvester in 1857. The smallest-circle problem in the plane is an example of a facility location problem (the 1-center problem) in which the location of a new facility must be chosen