https://en.xen.wiki/index.php?action=history&feed=atom&title=Neomirkwaismic_chords 2026-06-11T04:12:44Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=Neomirkwaismic_chords&diff=128677&oldid=prev 2023-12-08T11:21:22Z

<p></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 11:21, 8 December 2023</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>'''Neomirkwaismic chords''' are [[Dyadic chord|essentially tempered <del style="font-weight: bold; text-decoration: none;">dyadic </del>chords]] tempered by the neomirkwaisma, [[3136/3135]].</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>'''Neomirkwaismic chords''' are [[Dyadic chord|essentially tempered chords]] tempered by the neomirkwaisma, [[3136/3135]].</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>Neomirkwaismic chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 2]] in the 2.3.5.7.11.19 [[subgroup]] [[19-odd-limit]], meaning that there are 6 triads, 15 tetrads and 6 pentads, for a total of 27 distinct chord structures.</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>Neomirkwaismic chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 2]] in the 2.3.5.7.11.19 [[subgroup]] [[19-odd-limit]], meaning that there are 6 triads, 15 tetrads and 6 pentads, for a total of 27 distinct chord structures.</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l38">Line 38:</td> <td colspan="2" class="diff-lineno">Line 38:</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>* 1-15/14-8/7-19/14-16/11 with steps of 15/14-16/15-19/16-15/14-11/8.</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>* 1-15/14-8/7-19/14-16/11 with steps of 15/14-16/15-19/16-15/14-11/8.</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" 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>Equal temperaments with neomirkwaismic chords include {{Optimal ET sequence|<del style="font-weight: bold; text-decoration: none;">12, </del>31, 41, 72, 80, 118, 130, 152, 159, 190, 202, 270, 311, 342, 422, 472, 612, 742 and 894 }}.</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>Equal temperaments with neomirkwaismic chords include {{Optimal ET sequence| 31, 41, 72, 80, 118, 130, 152, 159, 190, 202, 270, 311, 342, 422, 472, 612, 742 and 894 }}.</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>[[Category:19-odd-limit]]</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>[[Category:19-odd-limit]]</div></td></tr> </table>

Xenllium https://en.xen.wiki/index.php?title=Neomirkwaismic_chords&diff=128674&oldid=prev 2023-12-08T10:28:59Z

<p>Created page with &quot;&#039;&#039;&#039;Neomirkwaismic chords&#039;&#039;&#039; are <a href="/w/Dyadic_chord" title="Dyadic chord">essentially tempered dyadic chords</a> tempered by the neomirkwaisma, <a href="/w/3136/3135" title="3136/3135">3136/3135</a>. Neomirkwaismic chords are of Dyadic chord/...&quot;</p> <p><b>New page</b></p><div>&#039;&#039;&#039;Neomirkwaismic chords&#039;&#039;&#039; are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the neomirkwaisma, [[3136/3135]].<br /> <br /> Neomirkwaismic chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 2]] in the 2.3.5.7.11.19 [[subgroup]] [[19-odd-limit]], meaning that there are 6 triads, 15 tetrads and 6 pentads, for a total of 27 distinct chord structures.<br /> <br /> For triads, there are three pairs of chords in inverse relationship: <br /> * 1-19/14-16/11 with steps of 19/14-15/14-11/8, and its inverse <br /> * 1-15/14-16/11 with steps of 15/14-19/14-11/8;<br /> * 1-14/11-19/14 with steps of 14/11-16/15-28/19, and its inverse <br /> * 1-16/15-19/14 with steps of 16/15-14/11-28/19;<br /> * 1-19/16-14/11 with steps of 19/16-15/14-11/7, and its inverse <br /> * 1-15/14-14/11 with steps of 15/14-19/16-11/7.<br /> <br /> For tetrads, there are three palindromic chords and six pairs of chords in inverse relationship. The palindromic chords are <br /> * 1-22/19-28/19-11/7 with steps of 22/19-14/11-16/15-14/11;<br /> * 1-15/14-19/14-16/11 with steps of 15/14-19/15-15/14-11/8;<br /> * 1-15/14-14/11-15/11 with steps of 15/14-19/16-15/14-22/15.<br /> <br /> The inversely related pairs of chords are <br /> * 1-22/19-11/8-28/19 with steps of 22/19-19/16-15/14-19/14, and its inverse <br /> * 1-15/14-14/11-28/19 with steps of 15/14-19/16-22/19-19/14;<br /> * 1-14/11-19/14-16/11 with steps of 14/11-16/15-15/14-11/8, and its inverse <br /> * 1-15/14-8/7-16/11 with steps of 15/14-16/15-14/11-11/8;<br /> * 1-8/7-19/14-16/11 with steps of 8/7-19/16-15/14-11/8, and its inverse <br /> * 1-15/14-14/11-16/11 with steps of 15/14-19/16-8/7-11/8;<br /> * 1-15/14-15/11-16/11 with steps of 15/14-14/11-16/15-11/8, and its inverse <br /> * 1-16/15-19/14-16/11 with steps of 16/15-14/11-15/14-11/8;<br /> * 1-19/16-14/11-19/14 with steps of 19/16-15/14-16/15-28/19, and its inverse <br /> * 1-16/15-8/7-19/14 with steps of 16/15-15/14-19/16-28/19;<br /> * 1-15/14-14/11-19/14 with steps of 15/14-19/16-16/15-28/19, and its inverse <br /> * 1-16/15-19/15-19/14 with steps of 16/15-19/16-15/14-28/19.<br /> <br /> For pentads, there are three pairs of chords in inverse relationship: <br /> * 1-22/19-11/8-28/19-11/7 with steps of 22/19-19/16-15/14-16/15-14/11, and its inverse <br /> * 1-16/15-8/7-19/14-11/7 with steps of 16/15-15/14-19/16-22/19-14/11;<br /> * 1-15/14-14/11-15/11-16/11 with steps of 15/14-19/16-15/14-16/15-11/8, and its inverse <br /> * 1-16/15-8/7-19/14-16/11 with steps of 16/15-15/14-19/16-15/14-11/8;<br /> * 1-15/14-14/11-19/14-16/11 with steps of 15/14-19/16-16/15-15/14-11/8, and its inverse <br /> * 1-15/14-8/7-19/14-16/11 with steps of 15/14-16/15-19/16-15/14-11/8.<br /> <br /> Equal temperaments with neomirkwaismic chords include {{Optimal ET sequence|12, 31, 41, 72, 80, 118, 130, 152, 159, 190, 202, 270, 311, 342, 422, 472, 612, 742 and 894 }}.<br /> <br /> [[Category:19-odd-limit]]<br /> [[Category:Essentially tempered chords]]<br /> [[Category:Triads]]<br /> [[Category:Tetrads]]<br /> [[Category:Pentads]]<br /> [[Category:Neomirkwaismic]]</div>

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