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- Spiral_array_model abstract "In music theory, the spiral array model is an extended type of pitch space. It represents human perceptions of pitch, chord and key in the same geometric space, as a mathematical model involving concentric helixes (an "array of spirals"). It was proposed in 2000 by Prof. Elaine Chew in her MIT doctoral thesis Toward a Mathematical Model of Tonality. Further research by Chew and others have produced modifications of the spiral array model, and, applied it to various problems in music theory and practice, such as key finding and pitch spelling.The spiral array model can be viewed as an extension of the tonnetz, which maps pitches into a two-dimensional lattice structure. Just like the tonnetz, the spiral array models higher order structures such as chords and keys in the same space as the low level structure: pitches. This allows the spiral array model to produce geometric interpretations of relationships between low and high level structures. For example, you can measure the geometric distance between a particular pitch and a particular key (both represented as points). Like the tonnetz, when applied to equal temperament, the spiral array model folds into a torus as octaves overlap.".
- Spiral_array_model wikiPageExternalLink ec-icmai.pdf.
- Spiral_array_model wikiPageID "20590824".
- Spiral_array_model wikiPageLength "6056".
- Spiral_array_model wikiPageOutDegree "14".
- Spiral_array_model wikiPageRevisionID "636987804".
- Spiral_array_model wikiPageWikiLink Category:Pitch_space.
- Spiral_array_model wikiPageWikiLink Chord_(music).
- Spiral_array_model wikiPageWikiLink Circle_of_fifths.
- Spiral_array_model wikiPageWikiLink Convex_combination.
- Spiral_array_model wikiPageWikiLink Equal_temperament.
- Spiral_array_model wikiPageWikiLink Helix.
- Spiral_array_model wikiPageWikiLink Key_(music).
- Spiral_array_model wikiPageWikiLink Music_theory.
- Spiral_array_model wikiPageWikiLink Pitch_(music).
- Spiral_array_model wikiPageWikiLink Pitch_space.
- Spiral_array_model wikiPageWikiLink Space.
- Spiral_array_model wikiPageWikiLink Spiral.
- Spiral_array_model wikiPageWikiLink Tonality.
- Spiral_array_model wikiPageWikiLink Tonnetz.
- Spiral_array_model wikiPageWikiLinkText "Spiral array model".
- Spiral_array_model hasPhotoCollection Spiral_array_model.
- Spiral_array_model wikiPageUsesTemplate Template:No_footnotes.
- Spiral_array_model wikiPageUsesTemplate Template:Pitch_space.
- Spiral_array_model subject Category:Pitch_space.
- Spiral_array_model hypernym Type.
- Spiral_array_model comment "In music theory, the spiral array model is an extended type of pitch space. It represents human perceptions of pitch, chord and key in the same geometric space, as a mathematical model involving concentric helixes (an "array of spirals"). It was proposed in 2000 by Prof. Elaine Chew in her MIT doctoral thesis Toward a Mathematical Model of Tonality.".
- Spiral_array_model label "Spiral array model".
- Spiral_array_model sameAs m.051zn6l.
- Spiral_array_model sameAs Q7577754.
- Spiral_array_model sameAs Q7577754.
- Spiral_array_model wasDerivedFrom Spiral_array_model?oldid=636987804.
- Spiral_array_model isPrimaryTopicOf Spiral_array_model.