[net.audio] Well Tempered Scales

sullivan@harvard.UUCP (John Sullivan) (05/09/84)

If an instrument is actually well-tempered, then it is true that in any
given key, some notes will be flat and some sharp (compared to *just*
intonation), but the relations are the same no matter what key you play
in.  Every half step corresponds to exactly a ratio of the twelfth root
of two, so every key sounds exactly the same.

Another interesting thing to note about the different sounds claimed for
different keys is that the standard tuning has shifted up over the centuries.
Thus Mozart when writing bright, cheerful things in the "bright, cheerful"
key of D, was really writing in what is now Db (C#).  I feel he probably
wrote in D because it is easier for the string players, not because of
any difference in sound.


	John M. Sullivan
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