Würschmidt diesis spiral progression: Difference between revisions

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~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~

The '''Würschmidt diesis spiral progression''' is a type of chord progression that hinges on the [[Würschmidt comma]] being tempered out, enabling three instances of [[128/125]] to add up to [[16/15]]. As such, this progression is available in [[EDO]]s that support Würschmidt temperament, such as [[31edo]], [[34edo]] and [[65edo]].

~~This is an imported revision from Wikispaces.~~ The ~~revision metadata~~ is ~~included below for reference:<br>~~

~~: This revision was by author~~ [[~~User:xenjacob|xenjacob~~]] ~~and made on <tt>2007-05-18 13:00:05 UTC<~~/~~tt>.<br>~~

~~: The original revision id was <tt>4484574<~~/~~tt>~~.~~<br>~~

~~: The revision comment was: <tt></tt><br>~~

~~The revision contents are below~~, ~~presented both~~ in ~~the original Wikispaces Wikitext format~~, and ~~in HTML exactly as Wikispaces rendered it~~.~~<br>~~

~~<h4>Original Wikitext content:</h4>~~

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">===Magic spiral for three voices (basic)===

~~|| If you're on: || For downward spiral, move thus: || For upward spiral: ||~~

~~|| 5th || up 2 dieses || up 3 dieses ||~~

~~|| 3rd || stay || down 2 dieses ||~~

~~|| root || down 3 dieses || stay ||~~

~~# Decide on downward (C-E-G#-B#) or upward (C-Ab-Fb-Dbb) root movement. We found downward easier almost every time.~~

[[File:Meantone diesis spiral.png|thumb|Descending diesis spiral progression in meantone temperament notation.]]

~~# Sing a just major triad (4~~:~~5:6), any inversion, open or closed spacing~~. ~~Tune and match vowel to lowest voice.~~

~~# Move~~ in ~~accordance with the chart. Since two people are moving each time, make eye contact to synchronize the change~~.

~~After three~~ moves, ~~you will have the same triad one diesis up or down~~. ~~Keep going if you can!~~

Arguably the best known form of this type of [[spiral progression]] is found in 31edo, though there are other, non-meantone interpretations. Regardless, each chord change effectively moves upward or downward by a Ptolemaic major third, that is, [[5/4]], thus creating a sort of [[Wikipedia: Chromatic mediant|chromatic-mediant]]-type motion.

~~recording on [u]: [[file:magic spiral basic (andrew jacob ryan) 5_11_07.mp3]]</pre></div>~~

=== Würschmidt diesis spiral for three voices ===

~~<h4>Original HTML content:</h4>~~

~~<div style~~=~~"width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style~~=~~"margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class~~="old-revision-html"><html><head><title>SpiralProgressions</title></head><body><h3 id="toc0"><a name="x--Magic spiral for three voices ~~(basic)"></a>Magic spiral for three voices (basic)</h3>~~

{| class="wikitable"

|-

| | If you're on:

| | For downward spiral, move thus:

| | For upward spiral:

|-

| | 5th

| | up 2 dieses

| | up 3 dieses

|-

| | 3rd

| | stay

| | down 2 dieses

|-

| | root

| | down 3 dieses

| | stay

|}

~~<table class="wiki_table">~~

<ol><li>Decide on downward (C-E-G#-B#) or upward (C-Ab-Fb-Dbb) root movement. We found downward easier almost every time.</li><li>Sing a just major triad (4:5:6), any inversion, open or closed spacing. Tune and match vowel to lowest voice.</li><li>Move in accordance with the chart. Since two people are moving each time, make eye contact to synchronize the change.</li></ol>

~~<tr>~~

~~<td>If you're~~ on~~:<br />~~

~~</td>~~

~~<td>For~~ downward ~~spiral, move thus:<br />~~

~~</td>~~

~~<td>For~~ upward ~~spiral:<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>5th<br />~~

~~</td>~~

~~<td>up 2 dieses<br />~~

~~</td>~~

~~<td>up 3 dieses<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>3rd<br />~~

~~</td>~~

~~<td>stay<br />~~

~~</td>~~

~~<td>down 2 dieses<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>~~root~~<br~~ /~~>~~

~~<~~/~~td>~~

~~<td>down 3 dieses<br />~~

~~</td>~~

~~<td>stay<br />~~

~~</td>~~

~~<~~/~~tr>~~

~~<~~/~~table>~~

~~<br />~~

After three moves, you will have the same triad one diesis up or down, and indeed one can keep going.

<ol><li>Decide on downward (C-E-G#-B#) or upward (C-Ab-Fb-Dbb) root movement. We found downward easier almost every time.</li><li>Sing a just major triad (4:5:6), any inversion, open or closed spacing. Tune and match vowel to lowest voice.</li><li>Move in accordance with the chart. Since two people are moving each time, make eye contact to synchronize the change.</li></ol><br />

After three moves, you will have the same triad one diesis up or down. ~~Keep going if you can!<br />~~

recording on [u]: [[:File:magic_spiral_basic_(andrew_jacob_ryan)_5_11_07.mp3|magic spiral basic (andrew jacob ryan) 5_11_07.mp3]]

~~<br />~~

recording on [u]: ~~<div class="objectEmbed"><a href="/file/view/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3/30629046/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3" onclick="ws.common.trackFileLink('/file/view/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3/30629046/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3');"><img src="http://www.wikispaces.com/i/mime/32/audio/mpeg.png" height="32" width="32" alt="magic spiral basic (andrew jacob ryan) 5_11_07.mp3" /></a><div><a href="/file/view/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3/30629046/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3" onclick="ws.common.trackFileLink('/file/view/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3/30629046/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3');" class="filename" title="magic spiral basic (andrew jacob ryan) 5_11_07.mp3">magic spiral basic (andrew jacob ryan) 5_11_07.mp3</a><br /><ul><li><a href="/file/detail/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3">Details</a></li><li><a href="/file/view/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3/30629046/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3">Download</a></li><li style="color: ~~#666">1 MB</li></ul></div></div></body></html></pre></div>

[[Category:Method]]

[[Category:Listen]]

[[Category:Augmented]]

[[Category:Würschmidt]]

[[Category:Chord progressions]]

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+The '''Würschmidt diesis spiral progression''' is a type of chord progression that hinges on the [[Würschmidt comma]] being tempered out, enabling three instances of [[128/125]] to add up to [[16/15]].  As such, this progression is available in [[EDO]]s that support Würschmidt temperament, such as [[31edo]], [[34edo]] and [[65edo]].
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2007-05-18 13:00:05 UTC</tt>.<br>
-: The original revision id was <tt>4484574</tt>.<br>
-: The revision comment was: <tt></tt><br>
-The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
-<h4>Original Wikitext content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">===Magic spiral for three voices (basic)===
-|| If you're on: || For downward spiral, move thus: || For upward spiral: ||
-|| 5th || up 2 dieses || up 3 dieses ||
-|| 3rd || stay || down 2 dieses ||
-|| root || down 3 dieses || stay ||
-# Decide on downward (C-E-G#-B#) or upward (C-Ab-Fb-Dbb) root movement. We found downward easier almost every time.
+[[File:Meantone diesis spiral.png|thumb|Descending diesis spiral progression in meantone temperament notation.]]
-#  Sing a just major triad (4:5:6), any inversion, open or closed spacing. Tune and match vowel to lowest voice.
-# Move in accordance with the chart. Since two people are moving each time, make eye contact to synchronize the change.
-After three moves, you will have the same triad one diesis up or down. Keep going if you can!
+Arguably the best known form of this type of [[spiral progression]] is found in 31edo, though there are other, non-meantone interpretations.  Regardless, each chord change effectively moves upward or downward by a Ptolemaic major third, that is, [[5/4]], thus creating a sort of [[Wikipedia: Chromatic mediant|chromatic-mediant]]-type motion.
-recording on [u]: [[file:magic spiral basic (andrew jacob ryan) 5_11_07.mp3]]</pre></div>
+=== Würschmidt diesis spiral for three voices ===
-<h4>Original HTML content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;SpiralProgressions&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Magic spiral for three voices (basic)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Magic spiral for three voices (basic)&lt;/h3&gt;
+{| class="wikitable"
+|-
+| | If you're on:
+| | For downward spiral, move thus:
+| | For upward spiral:
+|-
+| | 5th
+| | up 2 dieses
+| | up 3 dieses
+|-
+| | 3rd
+| | stay
+| | down 2 dieses
+|-
+| | root
+| | down 3 dieses
+| | stay
+|}
-&lt;table class="wiki_table"&gt;
+<ol><li>Decide on downward (C-E-G#-B#) or upward (C-Ab-Fb-Dbb) root movement. We found downward easier almost every time.</li><li>Sing a just major triad (4:5:6), any inversion, open or closed spacing. Tune and match vowel to lowest voice.</li><li>Move in accordance with the chart. Since two people are moving each time, make eye contact to synchronize the change.</li></ol>
-    &lt;tr&gt;
-        &lt;td&gt;If you're on:&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;For downward spiral, move thus:&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;For upward spiral:&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;5th&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;up 2 dieses&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;up 3 dieses&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;3rd&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;stay&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;down 2 dieses&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;root&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;down 3 dieses&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;stay&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-&lt;/table&gt;
-&lt;br /&gt;
+After three moves, you will have the same triad one diesis up or down, and indeed one can keep going.
-&lt;ol&gt;&lt;li&gt;Decide on downward (C-E-G#-B#) or upward (C-Ab-Fb-Dbb) root movement. We found downward easier almost every time.&lt;/li&gt;&lt;li&gt;Sing a just major triad (4:5:6), any inversion, open or closed spacing. Tune and match vowel to lowest voice.&lt;/li&gt;&lt;li&gt;Move in accordance with the chart. Since two people are moving each time, make eye contact to synchronize the change.&lt;/li&gt;&lt;/ol&gt;&lt;br /&gt;
-After three moves, you will have the same triad one diesis up or down. Keep going if you can!&lt;br /&gt;
+recording on [u]: [[:File:magic_spiral_basic_(andrew_jacob_ryan)_5_11_07.mp3|magic spiral basic (andrew jacob ryan) 5_11_07.mp3]]
-&lt;br /&gt;
-recording on [u]: &lt;!-- ws:start:WikiTextFileRule:44:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@magic spiral basic (andrew jacob ryan) 5_11_07.mp3&amp;quot; title=&amp;quot;File: magic spiral basic (andrew jacob ryan) 5_11_07.mp3&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3/30629046/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3" onclick="ws.common.trackFileLink('/file/view/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3/30629046/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/audio/mpeg.png" height="32" width="32" alt="magic spiral basic (andrew jacob ryan) 5_11_07.mp3" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3/30629046/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3" onclick="ws.common.trackFileLink('/file/view/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3/30629046/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3');" class="filename" title="magic spiral basic (andrew jacob ryan) 5_11_07.mp3"&gt;magic spiral basic (andrew jacob ryan) 5_11_07.mp3&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3/30629046/magic%20spiral%20basic%20%28andrew%20jacob%20ryan%29%205_11_07.mp3"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;1 MB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:44 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+[[Category:Method]]
+[[Category:Listen]]
+[[Category:Augmented]]
+[[Category:Würschmidt]]
+[[Category:Chord progressions]]