Excellent observations Kent. There is one problem with Stoppers situation. His mathematical treatise is most certainly original in every way. But the general observance of P-12th tuning most definitely predates him. So any claims he makes on the rights to use a perfect 12th tuning are questionable at best. He can however sell his machine and hold rights to the programming behind it... and for my part more power to him. I admire his efforts and work in the area for what its worth. I have had a chance to compare the Tunelab P-12th tuning I worked out independently on one occasion with a Stopper generated P-12th tuning, and found that the same basic tendencies are present in both. The P-12th priority does indeed create a character all its own.... as does just about any stretch priority. Cheers RicB Fred, your post is thoroughly reasonable. I have been trying to understand Stopper for almost 2 years now. There are some obstacles. First there are language and cultural barriers. And second, there is the simple fact that Stopper is trying to make money from his discoveries; his vagueness may not be a matter of not "grasping the complexities" as much as they are simply wishing to keep the knowledge proprietary. But make no mistake, Stopper's credentials are solid, and in 4 months of intensive use of PureTuner (my nickname for Tunic OnlyPure) I have only been able to corroborate his claims, not refute them. Kent
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