Xaetjeon

Naquian music

Tuning

Naquian music uses 7-tone scales rich in neutral thirds. Scales are abstractly viewed as subsets of 27 roughly equal divisions of the octave. The 3L 4s MOS scale (5 3 3 5 3 5 3) may be used, but they use other, non-MOS 7-note scales too. The quasi-equal 6L 1s MOS scale (4 4 4 4 4 4 3) in 27edo is mainly used as a reference point rather than actual music, in that notation is based on the 6L 1s scale in the same way that Western notation is based on the diatonic scale.

Movement by one step of 27edo is usually avoided, since it is difficult to sing.

Historically other micro-divisions have been used or proposed - especially 27-well temperaments, 17-well temperaments or 17-equal.

Sjowaazheñ music

Some Sjowaazheñ instruments include the lute, the erhu, the lyre, and various end-blown flutes. String instruments are usually unfretted except that they have frets at the perfect fourth.

Tuning

The Sjowaazheñ tradition takes a purely melodic, rather than harmonic, approach to tuning, unlike the Talman and Bjeheondian traditions. Sjowaazheñ scales are traditionally based around tetrachords or pentachords which divide the perfect fourth into three or four parts. Innovations over the years have led to finer divisions of the perfect fourth in more "sophisticated" music. The octave may be divided into two perfect fourths plus one whole tone. However, in monophonic music, the perfect fourths divided into n-chords may even be stacked on top of each other indefinitely, without regard to octave equivalence.

More recently, the theorist Wañjeyi proposed representing the Sjowaazheñ musical system by dividing the octave into 58 equal parts. [4/3 is 24 steps in 58, a highly composite number]