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|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]]. 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.
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.
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[[Category:9-limit]]
[[Category:9-limit]]
[[Category:Chord]]
[[Category:Chords]]
[[Category:Dyadic]]
[[Category:Dyadic]]
[[Category:Marvel]]
[[Category:Marvel]]