Don writes: << What was heard in Mozart's day was inferior, just as automobiles of 1915 were inferior to the ones today. Mozart didn't play in a primitive temperament because he wanted to; he did because there wasn't a better way yet. << I must confess amusement at the willingness to offer a totally unsupportable value judgment. In 1915, autos were in the second decade of their evolution. In 1750, temperaments were in their 20th century of development. There is no equivalence here. Mozart could have been playing and composing in meantone for much of his work, and what is primitive about that? Fact is, though ET requires much more effort to create than a WT, the result is nowhere near as complex as a WT. There are fewer tonal resources in ET since there is only one "color" of third. It takes far more skill to compose musically in a WT, but there is far more musical values available. It has been scientifically proven that consonance and dissonance cause different emotional effects in listeners. How the composers used this manipulative effect is a lost art today. >>There is a concrete, musical reason why virtually all instruments are tuned to ET and it has nothing to do with the "tidiness" of mathematics (and ET isn't constucted with a rational number, by the way). ET is the *only* temperament where everyone plays the same intervals within a key and in all the keys all the time. << I think it was because of ease of musical manufacturing. And anyway, we are talking about pianos, here. How many people are you envisioning being on the same keyboard at one time?? >> In *all* other systems *no* two keys sound alike. In *all* other systems you cannot have equal consonance for all intervals, even in the same key. << Umm, are we overlooking 1/4C Meantone, a tuning which has numerous keys with the same degree of tempering in eight keys? >>If you flatten the E in the major third between C and E to be more consonant, the resulting third from E to G# will not be the same...in fact it will be *worse* than ET. << Worse? Or more expressive? Fact is, if 14 cent thirds are so acceptable, is another cent or two going to be so bad?? Or, if one takes the view that 14 cents is the absolute limit of tolerance, does it make sense to have a tuning where *everything* is tuned at the extreme limit of acceptance? Especially when the vast majority of music is played in keys with less than 4 accidentals. If dissonance is "bad", then ET must be considered bad, because it is completely dissonant. >>ET wasn't foisted upon the musical community by dastardly engineers, politicians, or by divine decree; it was invented *by* musicians and has been universally adopted because WE LIKE IT and because it solves the many problems and limitations you experience if you don't use it.<< Invented by musicians? Which musicians would that be? Jorgensen posits that it was proposed by avant-garde theorists, and in its early introduction, the major resistance came from musicians. And "WE" like it?? Who is we? There are many professional musicians here in Nashville that have really changed their minds about temperament, and the same goes for other venues, (ask Jon Page or Richard Brekne). Are all these musicians deaf? I submit that ET is simply a 'one size sorta fits all' approach and to accept it for a universal answer, one must trade off aesthetic complexity for simple convenience. >>ET vastly simplifies music for us and lets us all play and modulate with complete freedom. Any other temperament is a gimmick >> If one expects and desires sameness in all keys, then ET is the obvious choice. However, to say that it is the 'superior' tuning indicates a personal, hence, subjective, preference more than a supportable fact. There is a huge difference between knowing what we like and liking what we know! Regards, Ed Foote RPT http://www.uk-piano.org/edfoote/index.html www.uk-piano.org/edfoote/well_tempered_piano.html
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