Chromatic scale common conception of the chromatic scale before the 13th century was the Pythagorean chromatic scale (). Due to a different tuning technique, the twelve semitones in this scale have two slightly different sizes. Thus, the scale is not perfectly symmetric. Many other tuning systems, developed in the ensuing centuries, share a similar asymmetry. In Pythagorean tuning (3-limit just intonation) the chromatic scale is tuned as follows, with sharps higher than their enharmonic flats: These are 17-EDO Pythagorean tuning approximations. In 5-limit just intonation the chromatic scale, Ptolemy's intense chromatic scale, is as follows, with flats higher than their enharmonic sharps,
Insen scale Insen scale Insen (or In Sen) is a tuning scale adapted from shamisen music by Yatsuhashi Kengyō for tuning of the koto. It only differs from the hirajoshi scale by one note. In D mode it consists of: D-E-G-A-C so it has the same notes as the Phrygian chord (7sus♭9). Other chords compatible with insen scale include M7♯11 when the scale is played half steps lower (for example B in sen scale for CM7♯11 chord) and Cm6 and Cm when the scale is played one full step above (for example D insen with Cm6 or Cm chord). Other scales related