https://en.xen.wiki/index.php?action=history&feed=atom&title=Talk%3ASeptisemi_temperaments%2FWikispacesArchive 2026-07-11T13:30:58Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=Talk:Septisemi_temperaments/WikispacesArchive&diff=34936&oldid=prev 2018-10-01T18:01:48Z

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Mike Battaglia https://en.xen.wiki/index.php?title=Talk:Septisemi_temperaments/WikispacesArchive&diff=34935&oldid=prev 2018-10-01T18:01:16Z

<p></p> <p><b>New page</b></p><div>{{WSArchiveHeader}}<br /> <br /> <br /> == Hmmmm... ==<br /> I assume that this page came because of the thing I posted about looking at Fokker blocks with 21/20 as a unison vector on tuning. I know that assumptions are bad to make, but I don&#039;t see any other reason why Gene would ever invent this temperament.<br /> <br /> I&#039;m just writing this to clarify that I wasn&#039;t looking for temperaments that temper out 21/20, but Fokker blocks that have 21/20 as a -CHROMATIC- unison vector. These blocks will be epimorphic under vals that DO temper out 21/20. So that&#039;s why I was typing 21/20 into Graham&#039;s temperament finder: to find such vals.<br /> <br /> Then, for each val, I was going to find its dual D, and then see what the solutions are to this equation:<br /> <br /> 21/20 ^ T = D<br /> <br /> Where T are going to correspond to really useful multimonzos that define really useful temperaments that have 4:6:7 and 6:9:11 share a triad class in one of the MOS&#039;s.<br /> <br /> I haven&#039;t had time to code up a search yet, but if you guys have tools available to quickly find such temperaments feel free to give it a shot...<br /> <br /> - &#039;&#039;&#039;mbattaglia1&#039;&#039;&#039; January 08, 2012, 03:59:35 PM UTC-0800<br /> ----<br /> Ack, this is for 21/20, and I was talking about 22/21. Maybe it really is something different.<br /> <br /> - &#039;&#039;&#039;mbattaglia1&#039;&#039;&#039; January 08, 2012, 04:23:58 PM UTC-0800<br /> ----<br /> It&#039;s just a result of my project to completely list various ranks and dimensions of temperaments within certain fairly broad bounds.<br /> <br /> - &#039;&#039;&#039;genewardsmith&#039;&#039;&#039; January 08, 2012, 05:19:25 PM UTC-0800<br /> ----</div>

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