https://en.xen.wiki/index.php?action=history&feed=atom&title=Chords_of_huygens 2026-07-03T19:08:40Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=Chords_of_huygens&diff=209300&oldid=prev 2025-09-04T23:07:03Z

<p>General corrections and improvement to the phrasing and the chords</p> <a href="https://en.xen.wiki/index.php?title=Chords_of_huygens&amp;diff=209300&amp;oldid=200420">Show changes</a>

Roeesi https://en.xen.wiki/index.php?title=Chords_of_huygens&diff=200420&oldid=prev 2025-06-22T21:58:31Z

<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 21:58, 22 June 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>Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[<del style="font-weight: bold; text-decoration: none;">Meantone_family</del>#<del style="font-weight: bold; text-decoration: none;">Septimal </del>meantone<del style="font-weight: bold; text-decoration: none;">-Unidecimal meantone aka Huygens</del>|<del style="font-weight: bold; text-decoration: none;">meantone </del>temperament]]. <del style="font-weight: bold; text-decoration: none;">By "meantone" </del>is <del style="font-weight: bold; text-decoration: none;">meant </del>one of the two extensions of septimal meantone, which itself is the main extension of 5-limit meantone; this is the temperament tempering out 81/80, 99/98, and 126/125. Typing the chords requires consideration of the fact that meantone conflates 9/8 and 10/9 and also 9/7 and 14/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.  </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>Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[<ins style="font-weight: bold; text-decoration: none;">Meantone family</ins>#<ins style="font-weight: bold; text-decoration: none;">Undecimal </ins>meantone <ins style="font-weight: bold; text-decoration: none;">(huygens)</ins>|<ins style="font-weight: bold; text-decoration: none;">huygens </ins>temperament]]. <ins style="font-weight: bold; text-decoration: none;">Huygens </ins>is one of the two extensions of septimal meantone, which itself is the main extension of 5-limit meantone; this is the temperament tempering out 81/80, 99/98, and 126/125. Typing the chords requires consideration of the fact that meantone conflates 9/8 and 10/9 and also 9/7 and 14/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.  </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>(For the inversions, there has been no attempt to note any equivalencies. Keep in mind that 10/9 can be thought of as 9/8, 16/9 as 9/5, 9/7 as 14/11, and vice versa.)</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>(For the inversions, there has been no attempt to note any equivalencies. Keep in mind that 10/9 can be thought of as 9/8, 16/9 as 9/5, 9/7 as 14/11, and vice versa.)</div></td></tr> </table>

Lériendil https://en.xen.wiki/index.php?title=Chords_of_huygens&diff=200419&oldid=prev 2025-06-22T21:57:37Z

<p>Undo revision <a href="/w/Special:Diff/200414" title="Special:Diff/200414">200414</a> by <a href="/w/Special:Contributions/L%C3%A9riendil" title="Special:Contributions/Lériendil">Lériendil</a> (<a href="/w/User_talk:L%C3%A9riendil" title="User talk:Lériendil">talk</a>)</p> <a href="https://en.xen.wiki/index.php?title=Chords_of_huygens&amp;diff=200419&amp;oldid=200415">Show changes</a>

Lériendil https://en.xen.wiki/index.php?title=Chords_of_huygens&diff=200415&oldid=prev 2025-06-22T21:56:15Z

<p>Lériendil moved page <a href="/w/Meantone/Chords" class="mw-redirect" title="Meantone/Chords">Meantone/Chords</a> to <a href="/w/Chords_of_huygens" title="Chords of huygens">Chords of huygens</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 21:56, 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=Chords_of_huygens&diff=200414&oldid=prev 2025-06-22T21:56:07Z

<p>Lériendil moved page <a href="/w/Meantone/Chords" class="mw-redirect" title="Meantone/Chords">Meantone/Chords</a> to <a href="/w/Chords_of_huygens" title="Chords of huygens">Chords of huygens</a></p> <a href="https://en.xen.wiki/index.php?title=Chords_of_huygens&amp;diff=200414&amp;oldid=184703">Show changes</a>

Lériendil https://en.xen.wiki/index.php?title=Chords_of_huygens&diff=184703&oldid=prev 2025-03-05T14:38:23Z

<p></p> <a href="https://en.xen.wiki/index.php?title=Chords_of_huygens&amp;diff=184703">Show changes</a>

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