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,
In scale and containing notes between them, as in the "miyako-bushi" scale used in "koto" and "shamisen" music and whose pitches are equivalent to the "in" scale: In Indian classical music, Gunkali (Hindustani) and Karnataka Shuddha Saveri (Carnatic) are nearly identical to the pentatonic "in" scale, highlighting the shared past of their origins. Some rare examples of ancient genres of Andean music (e.g. k'antu) use a scale similar to the "in" scale combined with melody leading with a parallel fifths and fourths. For example listen to "Machulas Kantu" by Bolivia Manta folk group ("Wiñayataqui", 1981). In scale The in" scale (also known