<html><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; ">Thank you for your very useful response.<div><br><div> My responses to your post below:</div><div><br></div><div>I fear that you may be correct about finding any examples, yet I shall persist when opportunity arises.</div><div><br></div><div>Your comments seem to confirm my pessimistic suspicions, and explain why all my previous enquiries have yet to be fruitful.</div><div><br></div><div>John Harrison would certainly been able to tune to a fairly high resolution, probably to the nearest cent, as he was using a bass viol and monochords, which he also used to experiment and train "his" choir.</div><div><br></div><div>I am certain that I have correctly understood and specified the precise tuning (derived from pi) which Harrison advocated in "Concerning Such Mechanism ...........".</div><div><br></div><div>It was first published more than twenty years ago, so all and everyone in the musical tuning communities has by now had opportunities to examine and test it.</div><div>Although many still insist that harmonious tunings should only use integer frequency ratios (JI); None have found fault with my interpretation of the tuning specifications.</div><div>Many even now accept that musically "consonant" tunings "should beat".</div><div> </div><div>The remaining area of "mystery" is Harrison's final manuscript, which no-one (to my knowledge) has been able to comprehend or subject to experimental tests. This manuscript was only recently unearthed.</div><div><br></div><div>Details and transcription here:</div><div><br></div><div><a href="http://lucytune.com/academic/manuscript_search.html">http://lucytune.com/academic/manuscript_search.html</a></div><div><br></div><div>Although the tuning he proposes in his final manuscript is entirely consistent with his earlier writings, the bell manufacturing equations, methods, "radical numbers", and instructions are still cryptic.</div><div><br></div><div>It is unfortunate that the descendants' bell making endeavours also used the name Harrison, as this has caused many bell enthusiasts to assume that these bells were made to John Longitude's specifications, and they have in all good faith reported unsatisfactory sounds. </div><div><br></div><div>This has tended to condemn John "Longitude" Harrison's bell-making ideas as "wrong".</div><div><br></div><div>I believe that there is likely to be some useful "hidden" information in J. "Long" H.'s final manuscript, as despite his unconventional religious ideas, everything else Harrison researched and invented eventually has been shown to be valid, from grasshopper escapements to musical tuning.</div><div><br></div><div><br></div><div><br></div><div><br><div><div>On 15 Oct 2009, at 10:50, Richard Smith wrote:</div><br class="Apple-interchange-newline"><blockquote type="cite"><div style="background-color: rgb(255, 255, 255); position: static; z-index: auto; "><div id="ygrp-mlmsg" style="font-size: 13px; font-family: arial, helvetica, clean, sans-serif; width: 655px; position: relative; "><div id="ygrp-msg" style="line-height: 1.22em; width: 470px; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 25px; padding-bottom: 0px; padding-left: 0px; float: left; z-index: 1; "><div id="ygrp-text" style="line-height: 1.22em; font-family: Georgia; "><p style="line-height: 1.22em; margin-top: 0px; margin-right: 0px; margin-bottom: 1em; margin-left: 0px; ">Charles Lucy wrote:<br style="line-height: 1.22em; "><br style="line-height: 1.22em; ">> Maybe this second edition will have the information that I<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">> have been hoping for the past twenty years would<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">> eventually emerge.<br style="line-height: 1.22em; "><br style="line-height: 1.22em; ">I don't know what information you are expecting to emerge.<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">If you are hoping to find a bell cast by the John Harrison<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">of chronometer fame, you'll almost certainly be<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">disappointed.<br style="line-height: 1.22em; "></p></div></div></div></div></blockquote><br><blockquote type="cite"><span class="Apple-style-span" style="border-collapse: separate; color: rgb(0, 0, 0); font-family: Helvetica; font-size: medium; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; "><div style="background-color: rgb(255, 255, 255); position: static; z-index: auto; "><div id="ygrp-mlmsg" style="font-size: 13px; font-family: arial, helvetica, clean, sans-serif; width: 655px; position: relative; "><div id="ygrp-msg" style="line-height: 1.22em; width: 470px; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 25px; padding-bottom: 0px; padding-left: 0px; float: left; z-index: 1; "><div id="ygrp-text" style="line-height: 1.22em; font-family: Georgia; "><p style="line-height: 1.22em; margin-top: 0px; margin-right: 0px; margin-bottom: 1em; margin-left: 0px; "><br style="line-height: 1.22em; ">From a search of the pNBR and of George Dawson's<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">spreadsheets, no bells by this John Harrison seem to exist.<br style="line-height: 1.22em; "><br style="line-height: 1.22em; ">The tenor of three at S. Mary, Kirkburn, E Riding was cast<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">in 1781 by a John Harrison, listed as John II Harrison in<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">the pNBR; likewise the sixth of eight at S. Andrew, Kirk<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">Ella, E Riding, although since recast, is inscribed "John<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">Harrison Founder Barrow 1781". Evidently this is not the<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">John Harrison of chronometer fame as he had been dead for<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">five years in 1781.<br style="line-height: 1.22em; "><br style="line-height: 1.22em; ">I would guess that this John is the great nephew of the<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">inventor of the chronometer, born in 1754, and seemingly the<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">(much) younger brother of two of the other Harrison founders<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">of Barrow-upon-<wbr style="line-height: 1.22em; ">Humber: Henry II and James I. However, no<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">doubt John Ketteringham'<wbr style="line-height: 1.22em; ">s book will elucidate further on<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">this point.<br style="line-height: 1.22em; "><br style="line-height: 1.22em; ">If you think that some of the Harrisons' bells might have<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">been influenced by John Harrison's ideas on tuning, I<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">suggest you try to locate some of Henry II's earliest<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">surviving bells that haven't subsequently been retuned. I<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">would suggest the second of three at S. Mary, South Kelsey,<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">Lincs (1768) would be a good candidate.<br style="line-height: 1.22em; "><br style="line-height: 1.22em; ">But even supposing the Harrison family had been trying to<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">use John Harrison's ideas on tuning (and even supposing you<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">have correctly interpreted Harrison's ideas on tuning which<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">you yourself note are written in very "obscure style"), what<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">makes you believe that the Barrow-upon-<wbr style="line-height: 1.22em; ">Humber founders were<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">capable of casting and tuning a bell precisely enough to<span class="Apple-converted-space"> </span><br style="line-height: 1.22em; ">capture differences in temperament of ten or so cents?<br style="line-height: 1.22em; "><br style="line-height: 1.22em; ">RAS<br style="line-height: 1.22em; "></p></div><div width="1" style="line-height: 1.22em; color: white; clear: both; "></div></div></span></blockquote></div><br><div apple-content-edited="true"> <span class="Apple-style-span" style="border-collapse: separate; color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0; "><div style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; "><div><div>Charles Lucy</div><div><a href="mailto:lucy@kVEXaGromqvo_u-E_mMHjqgws3_9MiA4AgPdPbwoIYIuV8phiVj3m3b_DoZcuA3l28P0odxgPT4l1g.yahoo.invalid">lucy@lucytune.com</a></div><div><br></div><div>- Promoting global harmony through LucyTuning -</div><div><br></div><div>for information on LucyTuning go to:</div><div><a href="http://www.lucytune.com">http://www.lucytune.com</a></div><div><br></div><div>For LucyTuned Lullabies go to:</div><div><a href="http://www.lullabies.co.uk">http://www.lullabies.co.uk</a></div><div><br class="webkit-block-placeholder"></div></div></div></span><br class="Apple-interchange-newline"> </div><br></div></div></body></html>