Different temperaments (was Chord finder)

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On Sat, Jul 14, 2012 at 7:40 AM, Bob van der Poel <bob@xxxxxxxxxxxx> wrote:
 
BTW, what does all this have to do with my original request for a
little software program :)

Apologies. Subject line corrected :-)

 
But wasn't Beethoven writing long after Bach had figured out the
tempered piano tuning? Besides, assuming that Beethoven was playing a
keyed instrument ... well, unless he had some extra keys ...

Yes, you are right that equal temperament is less that perfect ... but
on keyed instruments (and this will include fretted stuff as well) one
doesn't have much choice when playing.


Heres some evidence that Mozart played with 'more keys' if he could get them
http://tonalsoft.com/monzo/55edo/55edo.htm

Bach used Werckmeister-III, today we use equal temperament. They are crudely similar in that all keys are usable.  In Werckmeister however all keys are subtly different. In ET all are the same. So for Bach, it seems he was such a genius that that is not recognized/understood even 4 centuries after him. More at http://www.kylegann.com/histune.html#hist3

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