Hi Ron, Fred Thanks for pointing out the typo :) Gary's article btw is indeed very interesting in light of the discussion we've been carrying on. Very many of Fred's points are addressed and really... good ol' Fred raised some pretty poignant points along the way. Gary's article goes along ways down the road with agreeing with much of what I understood Fred to be getting at. That said... he does allude to the idea that the 3:1 and the 6:1 resolve much of our struggles to find the right balance in finding a fine stretch that balances very octave - double -- triple octave relationships and others. I do have one bit to add to all this. The last few days I've been tinkering a bit more with my own Tune lab based approach and have, I think, stumbled onto another interesting coincident. The 6:3:1. Immediately upon looking at that ratio one sees implied a 6:3 octave that matches both a perfect 19th and a perfect 12th. Theres more... But just try a P-12ths temperament using D3-A4 as your temperament area. Then instead of your usual bass routine... tune D2(3) and D1(6) to A3(1). That is to say use your ETD to zero on A3's fundamental then just tune D2 and D1 to it. Tune downwards through the bass that way. Then take a look at all resulting 6:3 octave types. I agree with your comment Fred, that Gary and Bernhard seem to have approached the thing from different angles. My own was much along the lines of Gary's along with the strong influence of a very nice and very hands on ETD.... namely Tune Lab 97. I still like that original tuning editor better then the present approach. Gave you more control. Cheers RicB I've been following the threads having to do with OnlyPure tuning software. Very interesting. RicB writes: Gary Shulze, RTT Lansing, MI Chapter, PTG Journal May 1982 I couldn't find it there - I found it in the March 1982 Journal. Ron Koval Concordia U.
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