2:1, 4:2, 6:3 octaves

[Matthew Todd]

I have been really, really studying tonight.
   
  Can someone please explain the system they use to tune 2:1, 4:2 and 6:3 octaves.  I am so close to grasping this concept, but I think I need another tech to explain it to me besides Reblitz.
   
  In the octave interval, if I were to tune a 4:2, the fourth partial of the lower note theoretically has the same frequency as the 2nd partial of the upper note.  Do those partials normally dominate each octave?  How can I tell whether to tune a 4:2 or a 6:3?
   
  Oh, and lets leave inharmonicity for another post.  I am just trying to grasp this main theoretical concept.
   
  Thank you!
Matthew

       
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