They will be released on my YouTube page, which is linked at the bottom of all my posts. It may be some time before they are released, as I will need release at least the first two together so I don't end up releasing only a really technical math based video without showing where all of that is leading in practical terms. My students have been getting on me for the length of my videos, and have convinced me to segment them into shorter chapters instead of the monstrously long ones I usually do.

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But for now the plan is three parts:
1) "Just Math", including what we have been discussing here;
2) "The Sweet Spot", showing how to find these Pure intervals intuitively on the instrument in reference to an external drone, using our ears to find these interval ratios by finding the point of "least turbulence" for each.
3) As yet untitled, covering details like the difference between arco and pizz intonation, what happens to our sense of Pure intonation when we play with Equal Tempered instruments, or ensembles where a group of imperfect humans are not playing perfectly in tune, and a few other odds and ends.