What is the smallest interval in European music, of which 12 make an octave?
Interval (music) sixth. Since compound intervals are larger than an octave, "the inversion of any compound interval is always the same as the inversion of the simple interval from which it is compounded." For intervals identified by their ratio, the inversion is determined by reversing the ratio and multiplying by 2. For example, the inversion of a 5:4 ratio is an 8:5 ratio. For intervals identified by an integer number of semitones, the inversion is obtained by subtracting that number from 12. Since an interval class is the lower number selected among the interval integer and its inversion, interval classes cannot be
Octave Fractional octave bands such as or of an octave are widely used in engineering acoustics. Octave In music, an octave (: eighth) or perfect octave (sometimes called the diapason) is the interval between one musical pitch and another with double its frequency. The octave relationship is a natural phenomenon that has been referred to as the "basic miracle of music", the use of which is "common in most musical systems". The interval between the first and second harmonics of the harmonic series is an octave. In music notation, notes separated by an octave (or multiple octaves) have the same letter