https://en.xen.wiki/index.php?action=history&feed=atom&title=File%3AThe_Quadruple-Diminished_Scale.png 2026-07-25T14:58:10Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=File:The_Quadruple-Diminished_Scale.png&diff=180800&oldid=prev 2025-02-14T21:09:51Z

<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 21:09, 14 February 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"></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>[[File:Scale.wav|thumb|Hexadecatonic scale on G - Quadruple Diminished Mode]]</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>[[File:Scale.wav|thumb|Hexadecatonic scale on G - Quadruple Diminished Mode]]</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>This is my interpretation of a hexadecatonic quadruple diminished scale (Octuple Augmented &quot;mode&quot; in the image below - with the A7 Harmony below that, it becomes &quot;dually-functioning&quot;), playable in 24edo. One can think of this as two Wyschnegradsky&#039;s octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky&#039;s octatonic with tonics to produce eight different dominant 7th (or eight minor 6th) chords, four of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem &quot;the superperfect cadence&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>This is my interpretation of a hexadecatonic quadruple diminished scale (Octuple Augmented &quot;mode&quot; in the image below - with the A7 Harmony below that, it becomes &quot;dually-functioning&quot;), playable in 24edo. One can think of this as two Wyschnegradsky&#039;s octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky&#039;s octatonic with tonics to produce eight different dominant 7th (or eight minor 6th) chords, four of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem &quot;the superperfect cadence&quot;.</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;"></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;">Note: The A on the and of 1 in the image above should be an A-natural.</ins></div></td></tr> </table>

Niomoye https://en.xen.wiki/index.php?title=File:The_Quadruple-Diminished_Scale.png&diff=171929&oldid=prev 2024-12-20T11:01:10Z

<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 11:01, 20 December 2024</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"></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>[[File:Scale.wav|thumb|Hexadecatonic scale on G - Quadruple Diminished Mode]]</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>[[File:Scale.wav|thumb|Hexadecatonic scale on G - Quadruple Diminished Mode]]</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>This is my interpretation of a hexadecatonic quadruple diminished scale (Octuple Augmented "mode" in the image below - with the A7 Harmony below that, it becomes "dually-functioning"), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce eight different dominant 7th (or eight minor 6th) chords, <del style="font-weight: bold; text-decoration: none;">two </del>of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem "the superperfect cadence".</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>This is my interpretation of a hexadecatonic quadruple diminished scale (Octuple Augmented "mode" in the image below - with the A7 Harmony below that, it becomes "dually-functioning"), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce eight different dominant 7th (or eight minor 6th) chords, <ins style="font-weight: bold; text-decoration: none;">four </ins>of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem "the superperfect cadence".</div></td></tr> </table>

Niomoye https://en.xen.wiki/index.php?title=File:The_Quadruple-Diminished_Scale.png&diff=161177&oldid=prev 2024-10-19T17:45:09Z

<p>Fixed wrong statement</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 17:45, 19 October 2024</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"></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>[[File:Scale.wav|thumb|Hexadecatonic scale on G - Quadruple Diminished Mode]]</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>[[File:Scale.wav|thumb|Hexadecatonic scale on G - Quadruple Diminished Mode]]</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>This is my interpretation of a hexadecatonic quadruple diminished scale (Octuple Augmented "mode" in the image below - with the A7 Harmony below that, it becomes "dually-functioning"), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce <del style="font-weight: bold; text-decoration: none;">four </del>different dominant 7th (or <del style="font-weight: bold; text-decoration: none;">four </del>minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem "the superperfect cadence".</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>This is my interpretation of a hexadecatonic quadruple diminished scale (Octuple Augmented "mode" in the image below - with the A7 Harmony below that, it becomes "dually-functioning"), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce <ins style="font-weight: bold; text-decoration: none;">eight </ins>different dominant 7th (or <ins style="font-weight: bold; text-decoration: none;">eight </ins>minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem "the superperfect cadence".</div></td></tr> </table>

Niomoye https://en.xen.wiki/index.php?title=File:The_Quadruple-Diminished_Scale.png&diff=159955&oldid=prev 2024-10-14T12:38:52Z

<p>Fixed typo</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 12:38, 14 October 2024</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>[[File:Scale.wav|thumb|Hexadecatonic scale on G - Quadruple Diminished <del style="font-weight: bold; text-decoration: none;">mode</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>[[File:Scale.wav|thumb|Hexadecatonic scale on G - Quadruple Diminished <ins style="font-weight: bold; text-decoration: none;">Mode</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;"><div>This is my interpretation of a hexadecatonic quadruple diminished scale (Octuple Augmented &quot;mode&quot; in the image below - with the A7 Harmony below that, it becomes &quot;dually-functioning&quot;), playable in 24edo. One can think of this as two Wyschnegradsky&#039;s octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky&#039;s octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem &quot;the superperfect cadence&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>This is my interpretation of a hexadecatonic quadruple diminished scale (Octuple Augmented &quot;mode&quot; in the image below - with the A7 Harmony below that, it becomes &quot;dually-functioning&quot;), playable in 24edo. One can think of this as two Wyschnegradsky&#039;s octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky&#039;s octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem &quot;the superperfect cadence&quot;.</div></td></tr> </table>

Niomoye https://en.xen.wiki/index.php?title=File:The_Quadruple-Diminished_Scale.png&diff=156559&oldid=prev 2024-09-26T06:25:53Z

<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 06:25, 26 September 2024</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"></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>[[File:Scale.wav|thumb|Hexadecatonic scale on G - Quadruple Diminished mode]]</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>[[File:Scale.wav|thumb|Hexadecatonic scale on G - Quadruple Diminished mode]]</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>This is my interpretation of a hexadecatonic quadruple diminished scale (<del style="font-weight: bold; text-decoration: none;">Quadruple </del>Augmented "mode" in the image below - with the A7 Harmony below that, it becomes "dually-functioning"), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem "the superperfect cadence".</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>This is my interpretation of a hexadecatonic quadruple diminished scale (<ins style="font-weight: bold; text-decoration: none;">Octuple </ins>Augmented "mode" in the image below - with the A7 Harmony below that, it becomes "dually-functioning"), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem "the superperfect cadence".</div></td></tr> </table>

Niomoye https://en.xen.wiki/index.php?title=File:The_Quadruple-Diminished_Scale.png&diff=156553&oldid=prev 2024-09-26T05:49:54Z

<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 05:49, 26 September 2024</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"></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>[[File:Scale.wav|thumb|Hexadecatonic scale on G - Quadruple Diminished mode]]</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>[[File:Scale.wav|thumb|Hexadecatonic scale on G - Quadruple Diminished mode]]</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>This is my interpretation of a hexadecatonic quadruple diminished scale (<del style="font-weight: bold; text-decoration: none;">Double </del>Augmented "mode" in the image below - with the A7 Harmony below that, it becomes "dually-functioning"), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem "the superperfect cadence".</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>This is my interpretation of a hexadecatonic quadruple diminished scale (<ins style="font-weight: bold; text-decoration: none;">Quadruple </ins>Augmented "mode" in the image below - with the A7 Harmony below that, it becomes "dually-functioning"), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem "the superperfect cadence".</div></td></tr> </table>

Niomoye https://en.xen.wiki/index.php?title=File:The_Quadruple-Diminished_Scale.png&diff=152855&oldid=prev 2024-08-28T03:56:05Z

<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 03:56, 28 August 2024</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>[[File:Scale.wav|thumb|Hexadecatonic scale on G]]</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>[[File:Scale.wav|thumb|Hexadecatonic scale on G <ins style="font-weight: bold; text-decoration: none;">- Quadruple Diminished mode</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;"><div>This is my interpretation of a hexadecatonic quadruple diminished scale (Double Augmented &quot;mode&quot; in the image below - with the A7 Harmony below that, it becomes &quot;dually-functioning&quot;), playable in 24edo. One can think of this as two Wyschnegradsky&#039;s octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky&#039;s octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem &quot;the superperfect cadence&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>This is my interpretation of a hexadecatonic quadruple diminished scale (Double Augmented &quot;mode&quot; in the image below - with the A7 Harmony below that, it becomes &quot;dually-functioning&quot;), playable in 24edo. One can think of this as two Wyschnegradsky&#039;s octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky&#039;s octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem &quot;the superperfect cadence&quot;.</div></td></tr> </table>

Niomoye https://en.xen.wiki/index.php?title=File:The_Quadruple-Diminished_Scale.png&diff=152846&oldid=prev 2024-08-28T03:46:01Z

<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 03:46, 28 August 2024</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"></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>[[File:Scale.wav|thumb|Hexadecatonic scale on G]]</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>[[File:Scale.wav|thumb|Hexadecatonic scale on G]]</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>This is my interpretation of a hexadecatonic quadruple diminished scale (<del style="font-weight: bold; text-decoration: none;">Quadruple </del>Augmented "mode" in the image below - with the A7 Harmony below that, it becomes "dually-functioning"), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem "the superperfect cadence".</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>This is my interpretation of a hexadecatonic quadruple diminished scale (<ins style="font-weight: bold; text-decoration: none;">Double </ins>Augmented "mode" in the image below - with the A7 Harmony below that, it becomes "dually-functioning"), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem "the superperfect cadence".</div></td></tr> </table>

Niomoye https://en.xen.wiki/index.php?title=File:The_Quadruple-Diminished_Scale.png&diff=152550&oldid=prev 2024-08-26T02:50:04Z

<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 02:50, 26 August 2024</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"></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>[[File:Scale.wav|thumb|Hexadecatonic scale on G]]</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>[[File:Scale.wav|thumb|Hexadecatonic scale on G]]</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>This is my interpretation of a hexadecatonic quadruple diminished scale (Quadruple Augmented "mode" in the image below - with the A7 Harmony below that, it becomes dually-functioning), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem "the superperfect cadence".</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>This is my interpretation of a hexadecatonic quadruple diminished scale (Quadruple Augmented "mode" in the image below - with the A7 Harmony below that, it becomes <ins style="font-weight: bold; text-decoration: none;">"</ins>dually-functioning<ins style="font-weight: bold; text-decoration: none;">"</ins>), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to Id7 to I7 in A=440hz, that I care to deem "the superperfect cadence".</div></td></tr> </table>

Niomoye https://en.xen.wiki/index.php?title=File:The_Quadruple-Diminished_Scale.png&diff=146865&oldid=prev 2024-07-01T17:45:18Z

<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 17:45, 1 July 2024</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"></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>[[File:Scale.wav|thumb|Hexadecatonic scale on G]]</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>[[File:Scale.wav|thumb|Hexadecatonic scale on G]]</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>This is my interpretation of a hexadecatonic quadruple diminished scale (Quadruple Augmented "mode" in the image below - with the A7 Harmony below that, it becomes dually-functioning), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to <del style="font-weight: bold; text-decoration: none;">Ihf7 </del>to I7 in A=440hz, that I care to deem "the superperfect cadence".</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>This is my interpretation of a hexadecatonic quadruple diminished scale (Quadruple Augmented "mode" in the image below - with the A7 Harmony below that, it becomes dually-functioning), playable in 24edo. One can think of this as two Wyschnegradsky's octatonic scales spaced a quarter-step apart, or as a Wyschnegradsky's octatonic with tonics to produce four different dominant 7th (or four minor 6th) chords, two of which are tuned in quarter-tone. The purpose of this is to facilitate the modulation between keys in 12edo and 24edo, sans the disintegration of A=440hz. For example, a movement from V7 to <ins style="font-weight: bold; text-decoration: none;">Id7 </ins>to I7 in A=440hz, that I care to deem "the superperfect cadence".</div></td></tr> </table>

Niomoye