> the Pythagorean scale is constructed using only just 5ths(or 4ths). > There are no just 3rds. > > Bob Anderson > Tucson, AZ Actually to the ear there are pure 3rds in Pythagorean scales. They are actually off of pure by a tiny amount. And only one or two at the most. This has been written about by Lindley, the author of articles in New Groves. Not to beat about a band wagon, but Pythagorean has a lot of acoustic and musical items of interest. My spread sheet shows a single split key at F#/Gb gives perfect fifths all the way around. Something must be wrong because if it were that simple all keyboards today ( beginning in1300) would have a single split key and no one would have to worry about temperament. After all a series of pure fifths or untempered fifths could hardly be called a temperament. ----ric
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