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]].
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<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><!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Magic spiral for three voices (basic)"></a><!-- ws:end:WikiTextHeadingRule:0 -->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>
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><br />
</li></ol>Sing a just major triad (4:5:6), any inversion, open or closed spacing. Tune and match vowel to lowest voice.<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]]
<ol><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 />
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 EDOs that support Würschmidt temperament, such as 31edo, 34edo and 65edo.
Descending diesis spiral progression in meantone temperament notation.
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 chromatic-mediant-type motion.
Würschmidt diesis spiral for three voices
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.
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, and indeed one can keep going.
