Marvel chords: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''Marvel chords''' are [[essentially tempered dyadic chord]]s tempered by the marvel comma, [[225/224]].  
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
 
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-26 18:41:25 UTC</tt>.<br>
The '''marvel triad''', aka '''marvel augmented triad''', or '''septimal augmented triad''', is a marvel chord which in close position consists of two major thirds of approximately [[5/4]] and a supermajor third of approximately [[9/7]], or in other words a 5/4, 5/4, 9/7 chord, which closes at the octave since the [[marvel comma]], 225/224, is tempered out. In [[meantone]] this [[triad]] consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1–5/4–[[14/9]] chord.  
: The original revision id was <tt>242963967</tt>.<br>
 
: The revision comment was: <tt></tt><br>
The [[9-odd-limit]] marvel chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 1b]], meaning that there are 3 triads, 6 tetrads and 2 pentads, for a total of 11 distinct chord structures. In this article, voicing with the [[perfect fifth]] is prioritized.
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>
The three 9-odd-limit marvel triads are
<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">The //marvel triad//, aka marvel augmented triad, or septimal augmented triad, is an [[Dyadic chord#Essentially tempered dyadic chords|essentially tempered dyadic triad]] which in close position consists of two major triads of approximately 5/4 and a supermajor triad of approximately 9/7, or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the marvel comma, 225/224, is tempered out. In meantone this triad consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1-5/4-14/9 chord. Equal temperaments with marvel augmented triads include 19, 22, 31, 41, 43, 50, 53, 72, 84, 94 and 197.</pre></div>
* The aforementioned marvel augmented triad;
<h4>Original HTML content:</h4>
* 1–5/4–7/5 with steps 5/4, [[9/8]], [[10/7]], and its inverse
<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;marvel chords&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;marvel triad&lt;/em&gt;, aka marvel augmented triad, or septimal augmented triad, is an &lt;a class="wiki_link" href="/Dyadic%20chord#Essentially tempered dyadic chords"&gt;essentially tempered dyadic triad&lt;/a&gt; which in close position consists of two major triads of approximately 5/4 and a supermajor triad of approximately 9/7, or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the marvel comma, 225/224, is tempered out. In meantone this triad consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1-5/4-14/9 chord. Equal temperaments with marvel augmented triads include 19, 22, 31, 41, 43, 50, 53, 72, 84, 94 and 197.&lt;/body&gt;&lt;/html&gt;</pre></div>
* 1–9/8–7/5 with steps 9/8, 5/4, 10/7.  
 
[[File:marvel.jpg|alt=marvel.jpg|thumb|Marvel triad]]
 
The six 9-odd-limit marvel [[tetrad]]s are
* 1–5/4–7/5–7/4 with steps 5/4, 9/8, 5/4, 8/7;
* 1–9/8–5/4–7/5 with steps 9/8, 10/9, 9/8, 10/7;
* 1–5/4–7/5–14/9 with steps 5/4, 9/8, 10/9, 9/7, and its inverse
* 1–9/8–7/5–9/5 with steps 9/8, 5/4, 9/7, 10/9;
* 1–9/8–7/5–7/4 with steps 9/8, 5/4, 5/4, 8/7, and its inverse
* 1–5/4–7/5–8/5 with steps 5/4, 9/8, 8/7, 5/4.  
 
The last four tetrads contain the marvel augmented triad.
 
The two 9-odd-limit marvel [[pentad]]s are:
* 1–9/8–5/4–7/5–7/4 with steps 9/8, 10/9, 9/8, 5/4, 8/7, and its inverse
* 1–9/8–5/4–7/5–8/5 with steps 9/8, 10/9, 9/8, 8/7, 5/4.
 
If we allow the [[15-odd-limit]], there are many more possibilities. One notable 15-odd-limit tetrad is 1–4/3–3/2–15/8 which has as its [[Chord homonym|homonym]] 1–9/8–7/5–3/2.
 
Equal temperaments with marvel chords include {{EDOs| 19, 22, 31, 41, 43, 50, 53, 72, 84, 94, 103, 166 and 197 }}.
 
== See also ==
* [[Battaglia chord]] – a 15-odd-limit hexad
* [[Undecimal marvel chords]]
 
[[Category:9-odd-limit chords]]
[[Category:Essentially tempered chords]]
[[Category:Triads]]
[[Category:Tetrads]]
[[Category:Pentads]]
[[Category:Marvel]]

Latest revision as of 05:44, 24 September 2024

Marvel chords are essentially tempered dyadic chords tempered by the marvel comma, 225/224.

The marvel triad, aka marvel augmented triad, or septimal augmented triad, is a marvel chord which in close position consists of two major thirds of approximately 5/4 and a supermajor third of approximately 9/7, or in other words a 5/4, 5/4, 9/7 chord, which closes at the octave since the marvel comma, 225/224, is tempered out. In meantone this triad consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1–5/4–14/9 chord.

The 9-odd-limit marvel chords are of pattern 1b, meaning that there are 3 triads, 6 tetrads and 2 pentads, for a total of 11 distinct chord structures. In this article, voicing with the perfect fifth is prioritized.

The three 9-odd-limit marvel triads are

  • The aforementioned marvel augmented triad;
  • 1–5/4–7/5 with steps 5/4, 9/8, 10/7, and its inverse
  • 1–9/8–7/5 with steps 9/8, 5/4, 10/7.
marvel.jpg
Marvel triad

The six 9-odd-limit marvel tetrads are

  • 1–5/4–7/5–7/4 with steps 5/4, 9/8, 5/4, 8/7;
  • 1–9/8–5/4–7/5 with steps 9/8, 10/9, 9/8, 10/7;
  • 1–5/4–7/5–14/9 with steps 5/4, 9/8, 10/9, 9/7, and its inverse
  • 1–9/8–7/5–9/5 with steps 9/8, 5/4, 9/7, 10/9;
  • 1–9/8–7/5–7/4 with steps 9/8, 5/4, 5/4, 8/7, and its inverse
  • 1–5/4–7/5–8/5 with steps 5/4, 9/8, 8/7, 5/4.

The last four tetrads contain the marvel augmented triad.

The two 9-odd-limit marvel pentads are:

  • 1–9/8–5/4–7/5–7/4 with steps 9/8, 10/9, 9/8, 5/4, 8/7, and its inverse
  • 1–9/8–5/4–7/5–8/5 with steps 9/8, 10/9, 9/8, 8/7, 5/4.

If we allow the 15-odd-limit, there are many more possibilities. One notable 15-odd-limit tetrad is 1–4/3–3/2–15/8 which has as its homonym 1–9/8–7/5–3/2.

Equal temperaments with marvel chords include 19, 22, 31, 41, 43, 50, 53, 72, 84, 94, 103, 166 and 197.

See also

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