<HTML>Ric, Can't say as I learned one precisely. I got some advice from a mentor on= this list, used much of it, and it seems to work.  But I was curious w= here "it" originated(not realizing many different theories were being tossed= about...:-).  I jumped into this discussion a little late, and have si= nce backtracked and read most of the posts.  So I'm guilty of not actua= lly having followed the first part of the thread. My method--and I blame nobody else-- 5ths and 12s as close to perfect as= possible without making the octaves unlistenable, particularly in the trebl= e from g5 up..  I do it by ear, as in the end, it is judged by ears. &n= bsp;Don't know where it originated, but I am curious... I will try a P12 tuning and see how it differs.  I think what we're= all after is a really an open, expansive sound.  I don't know how else= to describe it.  There seem to be many ways to achieve this. Dave Stahl In a message dated 6/2/04 5:05:20 AM Pacific Daylight Time, Richard.Brek= ne@grieg.uib.no writes: <BLOCKQUOTE TYPE=CITE style="BORDER-LEFT: #0000ff 2px solid; MARGIN-= LEFT: 5px; MARGIN-RIGHT: 0px; PADDING-LEFT: 5px">Which way did you learn to = tune ? Virgils natural beats... or useing perfect 12ths system ?</BLOCKQUOTE> </HTML>