Marvel chords: Difference between revisions
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'''Marvel chords''' are [[essentially tempered dyadic chord]]s tempered by the marvel comma, [[225/224]]. | '''Marvel chords''' are [[essentially tempered dyadic chord]]s 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 | 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 [[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. | 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. | ||
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The three 9-odd-limit marvel triads are | The three 9-odd-limit marvel triads are | ||
* The aforementioned marvel augmented triad; | * 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|thumb|Marvel triad]] | [[File:marvel.jpg|alt=marvel.jpg|thumb|Marvel triad]] | ||
The six 9-odd-limit marvel [[tetrad]]s are | The six 9-odd-limit marvel [[tetrad]]s are | ||
* | * 1–5/4–7/5–7/4 with steps 5/4, 9/8, 5/4, 8/7; | ||
* | * 1–9/8–5/4–7/5 with steps 9/8, 10/9, 9/8, 10/7; | ||
* | * 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 last four tetrads contain the marvel augmented triad. | ||
The two 9-odd-limit marvel [[pentad]]s are: | 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 | 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 }}. | Equal temperaments with marvel chords include {{EDOs| 19, 22, 31, 41, 43, 50, 53, 72, 84, 94, 103, 166 and 197 }}. | ||
== See also == | == See also == | ||
* [[Battaglia chord]] | * [[Battaglia chord]] – a 15-odd-limit hexad | ||
* [[Undecimal marvel chords]] | * [[Undecimal marvel chords]] | ||
[[Category:9-odd-limit]] | [[Category:9-odd-limit chords]] | ||
[[Category:Essentially tempered chords]] | [[Category:Essentially tempered chords]] | ||
[[Category:Triads]] | [[Category:Triads]] | ||
Latest revision as of 05:44, 24 September 2024
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.
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
- 1–9/8–7/5 with steps 9/8, 5/4, 10/7.
The six 9-odd-limit marvel tetrads are
- 1–5/4–7/5–7/4 with steps 5/4, 9/8, 5/4, 8/7;
- 1–9/8–5/4–7/5 with steps 9/8, 10/9, 9/8, 10/7;
- 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 pentads 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 homonym 1–9/8–7/5–3/2.
Equal temperaments with marvel chords include 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