Clark writes: <<Umm, 54 is divisible by 6 9 times so an (n+9)/n interval is 200 cents, so it contains half of 12tET:>> Greetings, Admittedly, I have never used or tuned the higher ET's , but it was my understanding that by the time you divide an octave into more than 31 notes, there will be enough pitches in proximity to virtually anything that 12 ET provides. This is theory from the synthsizer people, who have added the computer logic to adaptive theory, and some of them seem to be programming adaptive-on-the-fly software that selects pitch based on something well beyond me. It must be considered that the piano, tuned and used as we know it, will not be a forever thing. After several generations come of age in an environment that places the piano along side so many other instruments, it may come to be seen as an anachronistic, expensive, limited instrument. This has been one strong impetus for me to encourage technicians to broaden their list of available temperaments, since the addtional tonal resources available from a multi-temperament capability just might give the instrument a more attractive appeal to the new musicians that are being born right now. If the music of the classical composers does have greater emotional "pull" in a more age-related intonation,( the infamous "HT"s) then it would be a shame not to have that manifest itself as part of what the piano can offer. There are no promises that this is so, but the possibility is enough for me to justify investing the effort to research and learn, the time to teach, to risk of alienating some customers, and to suffer the slings and arrows of narrow-minded reactionaries that fear what I am doing. Ain't life grand? Regards, Ed Foote RPT
This PTG archive page provided courtesy of Moy Piano Service, LLC