https://en.xen.wiki/index.php?action=history&feed=atom&title=Hemififths%2FChords 2026-07-01T07:10:52Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=Hemififths/Chords&diff=205362&oldid=prev 2025-07-29T20:52:29Z

<p>Categories (todo)</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 20:52, 29 July 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l101">Line 101:</td> <td colspan="2" class="diff-lineno">Line 101:</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>| ^A2&lt;br&gt;\M3</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>| ^A2&lt;br&gt;\M3</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;"><div>|}</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>|}</div></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>{{Todo|inline=1<del style="font-weight: bold; text-decoration: none;">|comment=Complete the tables. </del>}}</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>{{Todo<ins style="font-weight: bold; text-decoration: none;">|complete table</ins>|inline=1}}</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>== Triads ==</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>== Triads ==</div></td></tr> </table>

Fredg999 https://en.xen.wiki/index.php?title=Hemififths/Chords&diff=200371&oldid=prev 2025-06-22T21:48:56Z

<p>Lériendil moved page <a href="/w/Chords_of_hemififths" class="mw-redirect" title="Chords of hemififths">Chords of hemififths</a> to <a href="/w/Hemififths/Chords" title="Hemififths/Chords">Hemififths/Chords</a></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 21:48, 22 June 2025</td> </tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

Lériendil https://en.xen.wiki/index.php?title=Hemififths/Chords&diff=187689&oldid=prev 2025-03-22T14:26:41Z

<p>Use unambiguous chord notation</p> <a href="https://en.xen.wiki/index.php?title=Hemififths/Chords&amp;diff=187689&amp;oldid=187687">Show changes</a>

FloraC https://en.xen.wiki/index.php?title=Hemififths/Chords&diff=187687&oldid=prev 2025-03-22T14:10:50Z

<p>Style</p> <a href="https://en.xen.wiki/index.php?title=Hemififths/Chords&amp;diff=187687&amp;oldid=171852">Show changes</a>

FloraC https://en.xen.wiki/index.php?title=Hemififths/Chords&diff=171852&oldid=prev 2024-12-19T23:16:54Z

<p><span class="autocomment">Triads: </span> added more chord names</p> <a href="https://en.xen.wiki/index.php?title=Hemififths/Chords&amp;diff=171852&amp;oldid=171329">Show changes</a>

TallKite https://en.xen.wiki/index.php?title=Hemififths/Chords&diff=171329&oldid=prev 2024-12-17T04:04:17Z

<p>added C as the chord root</p> <a href="https://en.xen.wiki/index.php?title=Hemififths/Chords&amp;diff=171329&amp;oldid=166689">Show changes</a>

TallKite https://en.xen.wiki/index.php?title=Hemififths/Chords&diff=166689&oldid=prev 2024-11-17T06:18:22Z

<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 06:18, 17 November 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</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>A striking feature of these hemififths chords is that essentially just chords tend to be of higher complexity than essentially tempered chords. Hemififths has MOS of size 7, 10, 17 and 24, and even seven notes are well-supplied with chords, mostly but by no means entirely essentially tempered chords. Extending consideration to the 13-limit adds even more such chords.</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>A striking feature of these hemififths chords is that essentially just chords tend to be of higher complexity than essentially tempered chords. Hemififths has MOS of size 7, 10, 17 and 24, and even seven notes are well-supplied with chords, mostly but by no means entirely essentially tempered chords. Extending consideration to the 13-limit adds even more such chords.</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>Chords are named with ups and downs. The tilde ~ means mid, half-way between major and minor. ~4 = ^4 = vA4. The comma (the actual punctuation mark) is pronounced "add", thus C~,7 is "C mid add 7". To facilitate chord naming, lifts and drops are also used. Enharmonic equivalences: vvA1 and v\m2. Cents: ^1 = 50¢ + 3.5c and /1 = 50¢ - 8.5c, where c = the amount in cents the tempered fifth exceeds 700¢. /1 = ~81/80 = ~64/63 and ^1 = ~33/32. To convert to 41edo, ^1 = 2\41 and /1 = 1\41.</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>Chords are named with ups and downs<ins style="font-weight: bold; text-decoration: none;">, using pergen #4 (P8, P5/2) in the [http://tallkite.com/misc_files/notation%20guide%20for%20rank-2%20pergens.pdf notation guide for rank-2 pergens]. One up is 7 generators</ins>. The tilde ~ means mid, half-way between major and minor. ~4 = ^4 = vA4 <ins style="font-weight: bold; text-decoration: none;">and ~5 = v5 = ^d5</ins>. The comma (the actual punctuation mark) is pronounced "add", thus C~,7 is "C mid add 7". To facilitate chord naming, lifts and drops are also used. Enharmonic equivalences: vvA1 and v\m2. Cents: ^1 = 50¢ + 3.5c and /1 = 50¢ - 8.5c, where c = the amount in cents the tempered fifth exceeds 700¢. /1 = ~81/80 = ~64/63 and ^1 = ~33/32. To convert to 41edo, ^1 = 2\41 and /1 = 1\41.</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;"><div>{| class=&quot;wikitable&quot;</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>{| class=&quot;wikitable&quot;</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;"><div>|+Hemififth&#039;s genchain</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>|+Hemififth&#039;s genchain</div></td></tr> </table>

TallKite https://en.xen.wiki/index.php?title=Hemififths/Chords&diff=166688&oldid=prev 2024-11-17T06:07:20Z

<p>added more chord names</p> <a href="https://en.xen.wiki/index.php?title=Hemififths/Chords&amp;diff=166688&amp;oldid=166466">Show changes</a>

TallKite https://en.xen.wiki/index.php?title=Hemififths/Chords&diff=166466&oldid=prev 2024-11-17T00:52:30Z

<p>added more chord names</p> <a href="https://en.xen.wiki/index.php?title=Hemififths/Chords&amp;diff=166466&amp;oldid=166362">Show changes</a>

TallKite https://en.xen.wiki/index.php?title=Hemififths/Chords&diff=166362&oldid=prev 2024-11-16T14:33:41Z

<p>added more chord names, improved the interval chart</p> <a href="https://en.xen.wiki/index.php?title=Hemififths/Chords&amp;diff=166362&amp;oldid=165396">Show changes</a>

TallKite