All right, let me weigh in here briefly. I really like the metaphors of using a micrometer to measure a marshmallow, or finding the best tape to stick the wind to a shadow. Sure, the physical world does not provide us the ability for that much precise control. But the design of temperaments is a mathematical thing before it is a practical activity, and while it remains in the realm of math, the additional precision helps make things "work out" theoretically. I doubt anyone who designs temperaments has the conviction that the degree of precision actually makes it into the instrument for more than perhaps five seconds per interval, if that. That said, the math itself can be really beautiful. I have been working on finding temperamental relationships that provide a high degree of "beat synchrony" -- that is, for example, when you play a major triad, the inner thirds (major third and minor third) beat in time with each other, either 1:1 or 2:1 or 3:2, creating a very pleasing tremolo-like pulsing sound. I'm sure you all have experienced this by happenstance with some chords, and it is in fact possible to design a temperament in which this phenomenon happens a lot. But the math goes to two decimal points (at least) to find this exactitude, and I don't dream that the phenomenon will remain for long or even be noticeable much. Still, the intellectual beauty is worth pondering. And in my experience, a sensitive artist can be very deeply moved by the quality of the tuning, hearing musical depths that he or she never before experienced. I might say that Robert Wendell has designed a few temperaments that are masterpieces from this point of view. I'll post more about this at another time. On Mon, Apr 30, 2012 at 9:13 AM, Dale Erwin <erwinspiano at aol.com> wrote: > can perceive in 1/10's of a cent deviations? > > > > Joe > > No problem buddy > > Dale > > > > *Dale Erwin... RPT > ** Mason & Hamlin/Steinway/U.S pianos > www.Erwinspiano.com > 209-577-8397 > * > > > > > > -----Original Message----- > From: Joseph Garrett <joegarrett at earthlink.net> > To: pianotech <pianotech at ptg.org> > Sent: Mon, Apr 30, 2012 7:58 am > Subject: [pianotech] Cents deviation & tuning charts > > HEY! What is with you guys? I made a comment about the tuning charts by Ron > Koval and all of you jumped on this indignant bandwagon of what people > can/cannot percieve in 1/10's of a cent diviations? Slow Day? Feeling the > need to be jerks? What's with that? Sheesh! > Joe > > > Joe Garrett, R.P.T. > Captain of the Tool Police > Squares R I > > > -- *| || ||| || ||| || ||| || ||| || ||| || ||| || |||* jason's cell 425 830 1561 -------------- next part -------------- An HTML attachment was scrubbed... URL: <https://www.moypiano.com/ptg/pianotech.php/attachments/20120430/375d2b56/attachment.htm>
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