Marvel chords: Difference between revisions
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'''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]] 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. | '''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]] 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. | ||
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]] | 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]]. | ||
[[File:marvel.jpg|alt=marvel.jpg|thumb|Marvel triad]] | |||
There are also marvel [[tetrad]]s: | |||
* 5/4-9/8-10/9-9/7 and its inversion, temperings of 1-5/4-7/5-14/9 and 1-5/4-8/5-[[16/9]]; | |||
* 5/4-9/8-[[8/7]]-5/4 and its inversion, temperings of 1-9/8-7/5-7/4 and 1-5/4-7/5-8/5; | |||
* 5/4-9/8-5/4-8/7, the tempering of 1-5/4-7/5-7/4; | |||
* 9/8-10/9-9/8-10/7, the tempering of 1-9/8-5/4-7/5. | |||
There are also two marvel [[pentad]]s: | |||
* 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 [[9-odd-limit]] marvel chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11. | ||
Equal temperaments with marvel chords include [[19edo]], [[22edo]], [[31edo]], [[41edo]], [[43edo]], [[50edo]], [[53edo]], [[72edo]], [[84edo]], [[94edo]], [[103edo]], [[166edo]] and [[197edo]]. | |||
[[Category:9-limit]] | [[Category:9-limit]] | ||
Revision as of 11:35, 21 February 2021
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.
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:
- 5/4-9/8-10/9-9/7 and its inversion, temperings of 1-5/4-7/5-14/9 and 1-5/4-8/5-16/9;
- 5/4-9/8-8/7-5/4 and its inversion, temperings of 1-9/8-7/5-7/4 and 1-5/4-7/5-8/5;
- 5/4-9/8-5/4-8/7, the tempering of 1-5/4-7/5-7/4;
- 9/8-10/9-9/8-10/7, the tempering of 1-9/8-5/4-7/5.
There are also two marvel pentads:
- 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 9-odd-limit marvel chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.
Equal temperaments with marvel chords include 19edo, 22edo, 31edo, 41edo, 43edo, 50edo, 53edo, 72edo, 84edo, 94edo, 103edo, 166edo and 197edo.