Dear Ed, Thank you for this information. I appreciate knowing it. As for being able to return to the original key, maybe we should conceptualize harmonic cycles as being spirals rather than circles. (spiral of fifths?)
Movable frets is an interesting concept. Whereas I don't know enought about engineering to know if this is possible to build, I have thought of a guitar (or lute or mandolin...) with frets that could be programmed. You could store a chip or two inside the neck of the instrument. The fret spacing could adjust automatically to fit the key. Of course you would have to tell it what temperment you wanted it to match and then you would have to get used to the frets moving around on the fretboard while you are playing. Thanks again, Marion -----Original Message----- From: Ed Durbrow <[EMAIL PROTECTED]> Sent: Feb 26, 2005 11:51 PM To: "Dr. Marion Ceruti" <[EMAIL PROTECTED]>, lute list <lute@cs.dartmouth.edu> Subject: Re: The 'perfect' instrument? >Hello everyone, > >With today's technology, it is theoretically possible to construct a conputer- >generated instrument, such as a keyboard, that would always be in tune >in any key because the computer could be programmed to place the >Pythagorean comma always on the opposite side of the circle of 5ths >from the key in which the music is being played. >Since it is technologically possible, is anyone aware of a case in which >this instrument has been constructed? If so, I would like to find out >how to get one. If I understand you correctly, this sort of thing has been commercially available for at least 10 years. For example, I have a synth module called a Proteus/2. It is full of orchestral samples. It has the capability to play in different temperaments. These can be changed by sending midi program changes. It is not that difficult to change the base key of the temperament and send it as a program change from a computer sequencer. In fact, you could do it with darn near any synthesizer just by programing the detune parameter if you wanted to work monophonically. I believe Wendy Carlos did music along these lines but in a more gamelan-like tonal world. Also check out Lou Harrison who wrote a piece for guitar with movable frets (but that doesn't modulate.) I have not thought this through, but wouldn't you run into problems if you modulate and then modulate back to the original key by a different route? For example, if you were using meantone and modulated to the third you would be quite flat relative to the starting key I think you could play in one temperament/mode change to another based on an equal temperament shift and one would notice so much, yet the harmony within each tonal area would be beautiful because you could arrange for perfect fifths and thirds or what have you. cheers, -- Ed Durbrow Saitama, Japan http://www9.plala.or.jp/edurbrow/ To get on or off this list see list information at http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html