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,
Synthetic scale By adding a G to the scale, one would end up with the LydianVII, the fourth degree of the Melodic Minor scale. The pitches of synthetic scales may duplicate pre-existing scales, though their derivation is different and their use is often quite different. Synthetic scale In music, a synthetic scale is a scale that derives from a traditional diatonic major scale by altering of one degree by a semitone in either direction. Composer Ferruccio Busoni originally explored these scales in his "A New Esthetic of Music" and their number and variety were later clarified by J. Murray Barbour, who also