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|~~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 [[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|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~~: 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.

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 [[tetrad]]s: 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 [[pentad]]s, 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 9-limit marvel chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.

The [[9-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]].

[[File:marvel.jpg|alt=marvel.jpg|marvel.jpg]]

Marvel triad

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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|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 [[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|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: 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.
+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 [[tetrad]]s: 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 [[pentad]]s, 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 9-limit marvel chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.
+The [[9-limit]] marvel chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.
-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]].
+Equal temperaments with marvel chords include [[19edo]], [[22edo]], [[31edo]], [[41edo]], [[43edo]], [[50edo]], [[53edo]], [[72edo]], [[84edo]], [[94edo]], [[103edo]], [[166edo]] and [[197edo]].
 [[File:marvel.jpg|alt=marvel.jpg|marvel.jpg]]
 Marvel triad
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+[[Category:Triad]]
+[[Category:Tetrad]]
+[[Category:Pentad]]