<div dir="ltr"><div>John:</div> <div> </div> <div>I've thought about what you wrote below, have read similar statements before, and am not sure what it really means.</div> <div> </div> <div>Do you mean the natural stretch beyond the theoretical 1:2 frequency ratio that is necessary to achieve a chosen octave type? Or do you mean that for a given scaling, a certain octave type is best? If the latter, how would this be determined? Maybe you mean something else that I haven't thought of.</div> <div> </div> <div>Btw, I am strictly an aural tuner, but understand inharmonicity.<br></div> <div class="gmail_quote">On Thu, Oct 16, 2008 at 12:31 PM, John Formsma <span dir="ltr"><<a href="mailto:formsma@gmail.com">formsma@gmail.com</a>></span> wrote:</div> <div class="gmail_quote"> </div> <div class="gmail_quote"><snip></div> <blockquote class="gmail_quote" style="PADDING-LEFT: 1ex; MARGIN: 0px 0px 0px 0.8ex; BORDER-LEFT: #ccc 1px solid"> <div dir="ltr"> <div><br></div> <div>What helps most is getting the correct stretch for the piano. If you do this, the break becomes less of an issue. (On some pianos, there will always be inconsistencies, but that's unchangeable until the scale is changed.) It's helpful to start with a temperament that spans two octaves. But eventually, I think the more one tunes aurally, the better one can hear what will work best even if he is working within one octave for the temperament.<br> </div></div></blockquote> <div><snip></div> <blockquote class="gmail_quote" style="PADDING-LEFT: 1ex; MARGIN: 0px 0px 0px 0.8ex; BORDER-LEFT: #ccc 1px solid"> <div dir="ltr"> <div><span id=""></span> </div> <div>-- <br><font color="#888888">JF</font></div> <div> <div></div> <div class="Wj3C7c"> <div><br> <div class="gmail_quote"> <blockquote class="gmail_quote" style="PADDING-LEFT: 1ex; MARGIN: 0px 0px 0px 0.8ex; BORDER-LEFT: #ccc 1px solid"> <div dir="ltr"> <div>-- <br>Regards, <br>Jeff <span class="goog-spellcheck-word" style="BACKGROUND: yellow">Deutschle</span><br><br>Please address replies to the List. Do not E-mail me privately. Thank You.<br><br></div></div></blockquote> </div></div></div></div></div></blockquote></div>