on 5/31/04 7:18 AM, Richard Brekne at Richard.Brekne@grieg.uib.no wrote: > There is no meaningful description for the net affect of the sum of all > coincidents at present. Virgil Smith claims the existence of a so called > natural beat... but this has yet to be quantified in any sense of the > word... so it usefulness remains questionable at best. I don't think its usefulness is questionable at all---I use it every time I tune, and following it has allowed me to become a really, really good piano tuner. I can change a player's entire perception of an instrument with a precise, musical, aural tuning using Virgil's natural beats tuning and 10 minutes with a chopstick voicer. I've done it hundreds of times, following up on some of the best people in town (LA). For me, perfect 12ths are not nearly as important as slowly rolling, precisely moving 4ths, 11ths, and 18ths----much easier to hear, and the perfect stretch calculator, IMO. That said, my temperament and most of the octaves I set turn out to be part of close-to-perfect 5ths and 12ths. Cheers, David Andersen
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