Conditional Asymmetry and Spontaneous Asymmetry of Harmonic Progressions Article Swipe
Christophe Guillotel-Nothmann
·
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.30535/mto.24.4.9
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.30535/mto.24.4.9
The theory of harmonic vectors (THV) postulates that, of the six possible root progressions in a given tonality, those up a fourth, down a third, and up a second (+4, -3, +2) are present in significantly greater numbers than the complementary root motions down a fourth, up a third, and down a second (-4, +3, -2) (Meeùs 1988; 1989; 2000). This imbalance sheds light on a specific aspect of the tonal system (Meeùs 2001, 63). The progressions +4, -3, +2 arise almost accidentally in pre-tonal polyphony through the constraints of contrapuntal rules, but in later repertoires they become a decisive syntactical feature that actively constrains tonality. A model combining voice leading and harmonic progression is tested against a body of madrigal cycles by Verdelot, Arcadelt, Lassus, Rore, Wert, and Monteverdi. These cycles, published between c. 1530 and 1638, contain about 50,000 chord progressions, permitting a close examination of the phenomena that reflect the changing status of the prevalent root progressions, the technical aspects that may have fostered it, and the compositional possibilities that result from the evolution outlined.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.30535/mto.24.4.9
- http://mtosmt.org/issues/mto.18.24.4/mto.18.24.4.guillotel-nothmann.pdf
- OA Status
- diamond
- References
- 19
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2911697079
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Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2911697079Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.30535/mto.24.4.9Digital Object Identifier
- Title
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Conditional Asymmetry and Spontaneous Asymmetry of Harmonic ProgressionsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2018Year of publication
- Publication date
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2018-12-01Full publication date if available
- Authors
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Christophe Guillotel-NothmannList of authors in order
- Landing page
-
https://doi.org/10.30535/mto.24.4.9Publisher landing page
- PDF URL
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https://mtosmt.org/issues/mto.18.24.4/mto.18.24.4.guillotel-nothmann.pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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diamondOpen access status per OpenAlex
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https://mtosmt.org/issues/mto.18.24.4/mto.18.24.4.guillotel-nothmann.pdfDirect OA link when available
- Concepts
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Tonality, Chord (peer-to-peer), Polyphony, Asymmetry, Harmonic, Mathematics, Root (linguistics), Linguistics, Philosophy, Speech recognition, Computer science, Physics, Literature, Acoustics, Art, Musical, Quantum mechanics, Distributed computingTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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19Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.contain | 138 |
| abstract_inverted_index.cycles, | 131 |
| abstract_inverted_index.feature | 101 |
| abstract_inverted_index.fourth, | 21, 45 |
| abstract_inverted_index.greater | 36 |
| abstract_inverted_index.leading | 110 |
| abstract_inverted_index.motions | 42 |
| abstract_inverted_index.numbers | 37 |
| abstract_inverted_index.present | 33 |
| abstract_inverted_index.reflect | 151 |
| abstract_inverted_index.through | 86 |
| abstract_inverted_index.vectors | 4 |
| abstract_inverted_index.actively | 103 |
| abstract_inverted_index.changing | 153 |
| abstract_inverted_index.decisive | 99 |
| abstract_inverted_index.fostered | 166 |
| abstract_inverted_index.harmonic | 3, 112 |
| abstract_inverted_index.madrigal | 120 |
| abstract_inverted_index.possible | 11 |
| abstract_inverted_index.specific | 66 |
| abstract_inverted_index.Arcadelt, | 124 |
| abstract_inverted_index.Verdelot, | 123 |
| abstract_inverted_index.combining | 108 |
| abstract_inverted_index.evolution | 176 |
| abstract_inverted_index.imbalance | 61 |
| abstract_inverted_index.outlined. | 177 |
| abstract_inverted_index.phenomena | 149 |
| abstract_inverted_index.polyphony | 85 |
| abstract_inverted_index.pre-tonal | 84 |
| abstract_inverted_index.prevalent | 157 |
| abstract_inverted_index.published | 132 |
| abstract_inverted_index.technical | 161 |
| abstract_inverted_index.tonality, | 17 |
| abstract_inverted_index.tonality. | 105 |
| abstract_inverted_index.constrains | 104 |
| abstract_inverted_index.permitting | 143 |
| abstract_inverted_index.postulates | 6 |
| abstract_inverted_index.+2 | 79 |
| abstract_inverted_index.Monteverdi. | 129 |
| abstract_inverted_index.constraints | 88 |
| abstract_inverted_index.examination | 146 |
| abstract_inverted_index.progression | 113 |
| abstract_inverted_index.repertoires | 95 |
| abstract_inverted_index.syntactical | 100 |
| abstract_inverted_index.+2) | 31 |
| abstract_inverted_index.+3, | 54 |
| abstract_inverted_index.+4, | 77 |
| abstract_inverted_index.accidentally | 82 |
| abstract_inverted_index.contrapuntal | 90 |
| abstract_inverted_index.progressions | 13, 76 |
| abstract_inverted_index.(+4, | 29 |
| abstract_inverted_index.complementary | 40 |
| abstract_inverted_index.compositional | 170 |
| abstract_inverted_index.possibilities | 171 |
| abstract_inverted_index.progressions, | 142, 159 |
| abstract_inverted_index.significantly | 35 |
| cited_by_percentile_year | |
| corresponding_author_ids | https://openalex.org/A5012443434 |
| countries_distinct_count | 0 |
| institutions_distinct_count | 1 |
| corresponding_institution_ids | https://openalex.org/I4387152749 |
| citation_normalized_percentile.value | 0.17308235 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |