Xenharmonic Wiki

Marvel chords: Difference between revisions

← Older edit
VisualWikitext
Wikispaces>FREEZE
No edit summary
TallKite (talk | contribs)
autopatrolled, Sysops
4,192 edits
mNo edit summary
 
(10 intermediate revisions by 4 users not shown)
Line 1: Line 1:
''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|marvel comma]], [[225/224|225/224]], is tempered out. In [[Meantone|meantone]] this [[triad|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.  
'''Marvel chords''' are [[essentially tempered dyadic chord]]s tempered by the marvel comma, [[225/224]].  


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|19edo]], [[22edo|22edo]], [[31edo|31edo]], [[41edo|41edo]], [[43edo|43edo]], [[50edo|50edo]], [[53edo|53edo]], [[72edo|72edo]], [[84edo|84edo]], [[94edo|94edo]], [[103edo|103edo]], [[166edo|166edo]] and [[197edo|197edo]].
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.  


[[File:marvel.jpg|alt=marvel.jpg|marvel.jpg]]
[[File:marvel.jpg|alt=marvel.jpg|thumb|Marvel triad]]


Marvel triad
The six 9-odd-limit marvel [[tetrad]]s are
[[Category:9-limit]]
* 1–5/4–7/5–7/4 with steps 5/4, 9/8, 5/4, 8/7;
[[Category:chord]]
* 1–9/8–5/4–7/5 with steps 9/8, 10/9, 9/8, 10/7;
[[Category:dyadic]]
* 1–5/4–7/5–14/9 with steps 5/4, 9/8, 10/9, 9/7, and its inverse
[[Category:marvel]]
* 1–9/8–7/5–9/5 with steps 9/8, 5/4, 9/7, 10/9;
[[Category:triad]]
* 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]]
Retrieved from "https://en.xen.wiki/w/Marvel_chords"