Hi Folks.. Reading downwards in the link I supplied to John ie. http://ptg.org/pipermail/pianotech_ptg.org/2009-March/005286.html one finds the following Stopper quote "Since it has been found that mathematical pure octaves does not produce the aural feel of a pure octave, but a slightly stretched octave will do that, the philosophic importance of this tuning is that the old pythagorean tuning is transformed directly into this tuning by simply replacing the "mathematical pure" octaves by "aural pure" octaves." Personally I find this compares very favorably with Virgil Smiths descriptions of the beatless octave. Just thought I'd throw this out there for thought... especially for those of you who adhere to his (Virgil's) tuning style. Think abit about the aural tests you use and put them in the perspective of the present discussion.... Interesting. Cheers RicB
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