https://en.xen.wiki/index.php?action=history&feed=atom&title=Talk%3AHobbit%2FWikispacesArchive 2026-07-16T18:22:03Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=Talk:Hobbit/WikispacesArchive&diff=58365&oldid=prev 2021-01-07T06:53:14Z

<p>Xenwolf moved page <a href="/w/Talk:Hobbits/WikispacesArchive" class="mw-redirect" title="Talk:Hobbits/WikispacesArchive">Talk:Hobbits/WikispacesArchive</a> to <a href="/w/Talk:Hobbit/WikispacesArchive" title="Talk:Hobbit/WikispacesArchive">Talk:Hobbit/WikispacesArchive</a>: singular rule for better linking</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <tr class="diff-title" lang="en"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 06:53, 7 January 2021</td> </tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

Xenwolf https://en.xen.wiki/index.php?title=Talk:Hobbit/WikispacesArchive&diff=34674&oldid=prev 2018-10-01T18:01:42Z

<p>1 revision imported: Moving archived Wikispaces discussion to subpage</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <tr class="diff-title" lang="en"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:01, 1 October 2018</td> </tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

Mike Battaglia https://en.xen.wiki/index.php?title=Talk:Hobbit/WikispacesArchive&diff=34673&oldid=prev 2018-10-01T18:01:16Z

<p>Text replacement - &quot;&#039;&#039;&#039;All discussion below is archived from the Wikispaces export in its original unaltered form.&#039;&#039;&#039;&quot; to &quot;&#039;&#039;&#039;All discussion below is archived from the Wikispaces export in its original unaltered form.&#039;&#039;&#039; &lt;span style=&quot;color:#800000&quot;&gt;&#039;&#039;...</p> <p><b>New page</b></p><div>{{WSArchiveHeader}}<br /> <br /> <br /> == Can we explain these things in English as well? ==<br /> It would be a nice thing to not immediately assault the reader with PhD mathematical treatise-speak when they learn about scale classification....<br /> <br /> Granted are two points:<br /> <br /> 1) Much scale research goes on on the (various) Yahoo tuning lists. The research is valuable and discoveries are made, etc.<br /> <br /> 2) Potentially, many of these discoveries are of musical value.<br /> <br /> BUT---if we care/want musicians to even tinker with these concepts, we will scare them away with talks of &quot;vals&quot; and &quot;monzos&quot;...to the outsider, these are simply neologisms.<br /> <br /> Just a thought. The xenwiki is setup as a resource, one would hope, for musicians, and not simply for PhD mathematicians.<br /> <br /> Best,<br /> <br /> AKJ<br /> <br /> - &#039;&#039;&#039;akjmicro&#039;&#039;&#039; March 07, 2011, 01:01:50 PM UTC-0800<br /> ----<br /> I agree with you. I tried to force a definition of val, monzo by adding links to (future) wiki pages, but this will not improve the readability.<br /> <br /> As I&#039;ve learned, some notations are very efficient, but some of them I cannot decode at all. Maybe some examples for these techniques will suffice for the non-mathematician of us.<br /> <br /> Best regards,<br /> <br /> Wolf<br /> <br /> - &#039;&#039;&#039;xenwolf&#039;&#039;&#039; March 07, 2011, 11:53:22 PM UTC-0800<br /> ----<br /> Here&#039;s an outline for how I think the page can be improved. Unfortunately the details will need to be filled in by Gene.<br /> <br /> In 2001 it was discovered that [MOS] scales correspond to rank 2 regular temperamnts. For a regular temperament of arbitrary rank, there is a corroseponding hobbit scale (named for their relationship to [dwarf scales]). Examples may be found on the [Scalesmith] page.<br /> <br /> *Definition*<br /> <br /> Given a regular tempearment, we first find an equal temperament [val] v which supports it. Next, we define an [octave equivalent seminorm] for the temperament. This seminorm applies to monzos and sends any comma of the temperament, and also the octave, to zero. It measures the complexity of the octave-equivalent pitch class to which a monzo belongs. For example, in meantone temperament, the OE seminorm of 3/2 is &lt;u&gt;_ and of 3/1 is &lt;/u&gt;_ and of 25/16 is ___. Roughly speaking, the hobbit is the scale consisting of the lowest OE complexity for each scale step mapped to the integer i by v (see [epimorphic] for details).<br /> <br /> In the rank 2 case, the hobbit for v is identical to the MOS for v because...<br /> <br /> *Examples*<br /> <br /> Consider the 7-note hobbit for meantone temperament ... yields the familiar diatonic scale (MOS)...<br /> <br /> Next, consider the 22-note hobbit for minerva temperament...<br /> <br /> *Details*<br /> <br /> Denoting the OE seminorm...<br /> <br /> - &#039;&#039;&#039;clumma&#039;&#039;&#039; March 08, 2011, 10:16:42 PM UTC-0800<br /> ----<br /> Wow, I cannot edit this. Useless.<br /> <br /> - &#039;&#039;&#039;clumma&#039;&#039;&#039; March 08, 2011, 10:17:22 PM UTC-0800<br /> ----</div>

WikispacesArchive>Mike Battaglia