Chromatic scale and new notes between E/F and B/C: The fractions and , and , and , and , and many other pairs are interchangeable, as (syntonic comma) is tempered out. These are 19-EDO just intonation approximations. The ancient Chinese chromatic scale is called "Shí-èr-lǜ". However, "it should not be imagined that this gamut ever functioned as a scale, and it is erroneous to refer to the 'Chinese chromatic scale', as some Western writers have done. The series of twelve notes known as the twelve "lü" were simply a series of fundamental notes from which scales could be constructed." The Indian solfège,
Bohlen–Pierce scale Bohlen–Pierce scale The Bohlen–Pierce scale (BP scale) is a musical tuning and scale, first described in the 1970s, that offers an alternative to the octave-repeating scales typical in Western and other musics, specifically the equal tempered diatonic scale. The interval 3:1 (often called by a new name, tritave) serves as the fundamental harmonic ratio, replacing the diatonic scale's 2:1 (the octave). For any pitch that is part of the BP scale, all pitches one or more tritaves higher or lower are part of the system as well, and are considered equivalent. The BP scale divides the tritave into 13 steps,