'''Marvel chords''' are [[essentially tempered dyadic chord]]s tempered by the marvel comma, [[225/224]].
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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">//Marvel chords// are [[Dyadic chord#Essentially tempered dyadic chords|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|5/4]] and a supermajor third of approximately [[9_7|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|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|14/9]] chord.
Another marvel essentially tempered triad is the 5/4-9/8-10/7 chord and its inversion, which means the marvel tempering of 1-5/4-7/5 and 1-10/7-8/5. There are also marvel tetrads: the 5/4-9/8-10/9-9/7 chord and its inversion, temperings of 1-5/4-7/5-14/9 and 1-5/4-8/5-16/9; the 5/4-9/8-8/7-5/4 chord and its inversion, temperings of 1-9/8-7/5-7/4 and 1-5/4-7/5-8/5; the 5/4-9/8-5/4-8/7 chord, the tempering of 1-5/4-7/5-7/4; and the 9/8-10/9-9/8-10/7 chord, the tempering of 1-9/8-5/4-7/5. There are also two marvel pentads, the 9/8-10/9-9/8-5/4-8/7 and its inverse, which are the temperings of 1-9/8-5/4-7/5-7/4 and 1-9/8-5/4-7/5-8/5.
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-limit marvel chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.
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.
Equal temperaments with marvel chords include [[19edo]], [[22edo]], [[31edo]], [[41edo]], [[43edo]], [[50edo]], [[53edo]], [[72edo]], [[84edo]], [[94edo]], [[103edo]], [[166edo]] and [[197edo]].</pre></div>
The three 9-odd-limit marvel triads are
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* The aforementioned marvel augmented triad;
<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>marvel chords</title></head><body><em>Marvel chords</em> are <a class="wiki_link" href="/Dyadic%20chord#Essentially tempered dyadic chords">essentially tempered dyadic chords</a> tempered by the marvel comma, 225/224. The <strong>marvel triad</strong>, aka <strong>marvel augmented triad</strong>, or <strong>septimal augmented triad</strong>, is a marvel chord which in close position consists of two major thirds of approximately <a class="wiki_link" href="/5_4">5/4</a> and a supermajor third of approximately <a class="wiki_link" href="/9_7">9/7</a>, or in other words a 5/4-5/4-9/7 chord, which closes at the octave since the <a class="wiki_link" href="/marvel%20comma">marvel comma</a>, <a class="wiki_link" href="/225_224">225/224</a>, is tempered out. In <a class="wiki_link" href="/meantone">meantone</a> this <a class="wiki_link" href="/triad">triad</a> 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-<a class="wiki_link" href="/14_9">14/9</a> chord. <br />
* 1–5/4–7/5 with steps 5/4, [[9/8]], [[10/7]], and its inverse
<br />
* 1–9/8–7/5 with steps 9/8, 5/4, 10/7.
Another marvel essentially tempered triad is the 5/4-9/8-10/7 chord and its inversion, which means the marvel tempering of 1-5/4-7/5 and 1-10/7-8/5. There are also marvel tetrads: the 5/4-9/8-10/9-9/7 chord and its inversion, temperings of 1-5/4-7/5-14/9 and 1-5/4-8/5-16/9; the 5/4-9/8-8/7-5/4 chord and its inversion, temperings of 1-9/8-7/5-7/4 and 1-5/4-7/5-8/5; the 5/4-9/8-5/4-8/7 chord, the tempering of 1-5/4-7/5-7/4; and the 9/8-10/9-9/8-10/7 chord, the tempering of 1-9/8-5/4-7/5. There are also two marvel pentads, the 9/8-10/9-9/8-5/4-8/7 and its inverse, which are the temperings of 1-9/8-5/4-7/5-7/4 and 1-9/8-5/4-7/5-8/5.<br />
* 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 }}.
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
1–9/8–5/4–7/5–7/4 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.
