In a message dated 98-02-01 01:00:45 EST, you write: << I would like to learn more about HTs and how to apply them to different situations. But, if you tell me that ET is wrong, you've lost me, Mr. Bill. You have discredited yourself by flaming most of the list. Are you telling me that I've wasted 26 years of my life? That I commit a sin every time I tune a piano "quasi"-equally? I will not let you pass judgment on my craft so arrogantly. >> OK, OK Let's all simmer down. Conrad got over it a long time ago. I realize that I am writing about a topic that challenges people's thinking. I believe in what I say and do and that's why I stick my neck out, it's not for my sake, it for the betterment of music and the continued existance of the piano itself. If you are tuning in ET, it is because that is what you were taught was the right way. It has been accepted as the right way by virtually everyone who is alive today who tunes or has anything to do with a piano. The very idea of an unequal temperament just doesn't seem right or even worth discussing. I want to be able however to at least broaden people's perspective on this. Some wrote me in a private post, << I think you actually believe what you say about temperaments. I was disappointed that with all your study you still said "a few beats" of change from 1 cent change in a major third. As far as I can make out, it is closer to 1/4 beat, but I was hoping some of the technical people could confirm that. >> If you flatten or sharpen one of the notes of a major 3rd anywhere within the F3-F4 octave, it will quite effectively change beat speed of that interval by "a beat or so, perhaps even a few beats per second", certainly more than 1/4 bps. This is why the the RPT Exam tolerance is 1¢. It is at the threshold of what has been determined to really matter. So to answer your question without being emotional about it, a 1¢ error is significant. If there was only one 1¢ error, of course it wouldn't really matter too much. But indeed, Owen's book has one of the late 19th Century Quasi-Equal temperaments which is precisely that. An ET with one note different: C is raised by 1¢. The temperament is no longer "equal". It is a Quasi-Equal Temperament. (I really don't think it would be unethical to tune a piano this way, with or without telling the customer , artist, etc. It might even be done accidentally. Of course, it would be best if the customer were informed as to why it is being done, no argument with that). What this does do, however, is align the "vibrato" that I was talking about in a recent post with the cycle of 5ths, if only for two intervals. It makes the Ab-C 3rd beat faster, giving the key of Ab a more brilliant sound and it makes the C-E 3rd beat slower, giving the key of C a more gentle sound. Chopin's music would be enhanced by this. Bach's WT Clavier music would be enhanced by this. As I have asserted, virtually any music would, in this case, just a little bit. If you raised one note of a 3rd by .9¢ and lowered the other by .9¢, both notes would still be in tolerance on a hypothetical RPT Exam, if only barely and technically. If you played your 3rds to test for smoothness, this interval would stick out as beating unevenly faster than the others near it. Those contiguous to it would beat unevenly slower. You could probably prove something wrong with other aural checks as well but the Exam scoring would not show any error. Consider this hypothetical: If you alternately raised and lowered each note of the temperament octave by .9¢, in the same pattern as the De-tuning is done but still within tolerance, you would have a clearly aurally unacceptable ET but the Exam would show no errors! This does not mean I think the Exam standards are too low. It is simply an idea to ponder. It means that the idea many people have of "just getting the temperament pretty smooth" being good enough really may not be so good after all. What I'd much rather see is people channeling the typical amount of temperament "error" to where it will actually enhance the music, not literally run against its grain. Unfortunately, I don't seem to be able to be getting this across. I'll admit that I may well have shot myself in the foot from the very beginning and perhaps that's why people aren't really reading my posts for their intent, they see my name, remember that I "flamed" Conrad and to them that was a "biggie", and the only thing about my posts that is remarkable are things that are really insignificant but taken out of context, are blown out of proportion. On the other hand, the majority still just might not be ready to accept anything but ET as a goal. I might be just as ineffective as I am being now even if I had offended no one. I may have to leave the list again soon because of a heavy workload coming up. I've had a little lighter schedule recently. I'd like to provide information and explanations about HT's for those that want them but I really don't need or want these heated, emotional arguments any more. I'll try to be to the point in what I say and not get personal. Please give me the same respect. Bill Bremmer RPT Madison, Wisconsin
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