Simon Wascher wrote: >To my understanding, there are two groups of tuning systems which both >are forming the basis of western music: >1) tempered intonation scales <...> >2) just intonation scales (I do not really know if this is the right >term in english the german term is "Skalen mit reiner Intonation") Yes, it's the same in English. <...> >Laura Conrad wrote: >> >> >>>>> "Phil" == Phil Taylor <[EMAIL PROTECTED]> writes: >> >> Phil> Yes and no. the expression "well-tempered" comes from the >> Phil> title of Bach's two volumes of preludes and fugues. (...) >> No, I think most people these days believe that Bach's Well-tempered >> keyboard was not equal tempered. > >as far as I know it was well tempered following a system developed by a >man called werckmeister. In systems like this you chose a number of >consecutive fifths wich are about just intonation and divide the >divergence between 12 just intonated fifths and the octave between the >other fifths. As I remember, this specific system also includes a >correction for the thirds. I stand corrected. However, if the system used involved distributing the accumulated error from twelve perfect fifths among all the notes, the result will surely be an equally-tempered scale, even though it's mathematical basis is different? Phil Taylor To subscribe/unsubscribe, point your browser to: http://www.tullochgorm.com/lists.html
