In
music, a
symmetric scale is a
music scale which equally divides the
octave. The concept and term appears to have been introduced by
Joseph Schillinger and further developed by
Nicolas Slonimsky as part of his famous
"Thesaurus of Scales and Melodic Patterns". In twelve-tone
equal temperament, the octave can only be equally divided into two, three, four, six, or twelve parts, which consequently may be filled in by adding the same exact interval or sequence of intervals to each resulting note (called "interpolation of notes").