Research->Genre Study->Scale and Tuning->Formation of Scale
This page shows my idea for formation of music scale.
 Many ethnic music contains "C","D","E","G","A" in its music scale. Why are these particular notes used in many ethnic music? The reason is that these notes are formed naturally while horns and strings are played. 
When you play a note with guitar, for example, if you snap the point which is 1/3 of string length, you will listen to a note which is 5th above the original note. For example, the original note is "C," then you will listen to "G." (If you snap the 1/2 point, you will listen to a note which is octave above the original note.) If you repeat this process for "G", then "D" is generated. And if you repeat this process once more, "A" is generated, and next is "E." So, "C","G","D","A","E" are generated. These are reorganized into "C","D","E","G","A." 
If you begin this process at "F," and repeat 7 times, then "F","C","G","D","A","E","B" are generated. These notes can be reorganized into "C","D","E","F","G","A","B." Seven notes which are generated by repeating this process are called just intonation. Just intonation is different from temperament. 
Okinawa Music Scale
Most penta-tonic music scale does not contain half pitches, "F" and "B." However, Okinawa Music Scale contains "F" and "B" and does not contain "D" and "A." Why is this? If the music instruments are tuned with just intonation, then "D" and "A" come off and if these notes are played together or played on and on, these notes sound very weird. This may be the reason why Okinawa Music Scale does not contain "D" and "A." If you have some information about this matter, please e-mail me
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