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,
Diatonic scale Pythagorean tuning: Six of the "fifth" intervals (C–G, D–A, E–B, F–C', G–D', A–E') are all = 1.5, but B–F' is the discordant tritone, here ≈ 1.423828125. Extending the series of fifths to eleven fifths would result into the Pythagorean Chromatic scale. It would add pitches for the five "piano black key" notes, for instance A–E–B–F–C–G–D–A–E–B–F–C–G. A and G are commonly thought of as being the same note, but as worked out in this way, G is higher pitch than A by about 1.01364 (, the Pythagorean comma, about 24% of a semitone, = ). Depending on whether one chooses A