https://en.xen.wiki/index.php?action=history&feed=atom&title=Lumatone_mapping_for_86edo 2026-06-26T01:19:59Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=Lumatone_mapping_for_86edo&diff=204974&oldid=prev 2025-07-22T08:51:00Z

<p>b val diatonic mapping</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 08:51, 22 July 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Lumatone mapping intro}}</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Lumatone mapping intro<ins style="font-weight: bold; text-decoration: none;">}} You can use the b val, but it is very sharp and will not cover all the notes due to the size of the edo.</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">== Diatonic ==</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">{{Lumatone EDO mapping|n=86|start=20|xstep=16|ystep=-13</ins>}}</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Tesseract + Negri ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Tesseract + Negri ==</div></td></tr> </table>

Yourmusic Productions https://en.xen.wiki/index.php?title=Lumatone_mapping_for_86edo&diff=204931&oldid=prev 2025-07-21T09:05:06Z

<p>Create Lumatone mapping for 86edo, starting with Bryan Deister&#039;s Lumatone mapping for 86edo</p> <p><b>New page</b></p><div>{{Lumatone mapping intro}}<br /> <br /> == Tesseract + Negri ==<br /> [[Bryan Deister]] has demonstrated a [[9L&amp;nbsp;1s]] mapping for [[86edo]] in [https://www.youtube.com/shorts/5_W323Iea18 &#039;&#039;microtonal improvisation in 86edo&#039;&#039;] (2025). The rightwards generator 9\86 is a slightly flat tridecimal supraminor second (~[[14\13]]), which is a quarter of the somewhat sharp perfect fourth (~[[4/3]]), as befits Tesseract temperament ([[28812/28561]] is tempered out); unfortunately, the infill extension of Tesseract to include the 5th harmonic (as three of these generators) reaches the second-best approximation of it for 86 (86c val); this also puts this mapping on the spectrum for [[Negri]] temperament in the 5-limit, although not in the 7-limit, since 86edo does not temper ~[[8/7]], ~[[7/6]], and ~[[15/13]] to the same interval (instead, it represents them all as distinct intervals). It is possible to reach all of the notes in each octave with sufficient stacking of only the rightward generator; but for convenience, it may be preferable to add as a second generator the upwards generator 4\86, a chromatic quarter-tone that functions primarily as the al-Farabi quarter tone ~[[33/32]], but also ~[[30/29]], ~[[31/30]], and ~[[32/31]]. The range is just a bit over three octaves with no missed notes, and the octaves slope up substantially, hence the placement of the first note 0 in the lower left corner.<br /> {{Lumatone EDO mapping|n=86|start=82|xstep=9|ystep=-4}}<br /> <br /> {{Navbox Lumatone}}</div>

Lucius Chiaraviglio