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- Spiral_array_model abstract "In music theory, the spiral array model is an extended type of pitch space. A mathematical model involving concentric helices (an \"array of spirals\"), it represents human perceptions of pitches, chords and keys in the same geometric space. 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 (symbolic and audio), pitch spelling, tonal segmentation, similarity assessment, and musical humor. The extensions and applications are described in Mathematical and Computational Modeling of Tonality: Theory and Applications.The spiral array model can be viewed as a generalized tonnetz, which maps pitches into a two-dimensional lattice (array) structure. The spiral array wraps up the two-dimensional tonnetz into a three-dimensional lattice, and models higher order structures such as chords and keys in the interior of the lattice space. This allows the spiral array model to produce geometric interpretations of relationships between low- and high-level structures. For example, it is possible to model and measure geometrically the distance between a particular pitch and a particular key, both represented as points in the spiral array space. To preserve pitch spelling, because musically A# ≠ Bb in their function and usage, the spiral array does not assume enharmonic equivalence, i.e. it does not fold into a torus. The spatial relationships between pitches, between chords, and between keys agree with those in other representations of tonal space.The model and its real-time algorithms have been implemented in the tonal visualisation software MuSA.RT (Music on the Spiral Array . Real-Time) and a free app, MuSA_RT, both of which have been used in music education videos and in live performance.".
- Spiral_array_model thumbnail Spiral_Array_Model—Nested_Helices.png?width=300.
- Spiral_array_model wikiPageExternalLink 9139.
- Spiral_array_model wikiPageExternalLink 9781461494744.
- Spiral_array_model wikiPageExternalLink id506866959?mt=12.
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- Spiral_array_model wikiPageLength "16052".
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- Spiral_array_model wikiPageRevisionID "694744636".
- Spiral_array_model wikiPageWikiLink Category:Music_cognition.
- Spiral_array_model wikiPageWikiLink Category:Music_psychology.
- Spiral_array_model wikiPageWikiLink Category:Music_theory.
- Spiral_array_model wikiPageWikiLink Category:Pitch_space.
- Spiral_array_model wikiPageWikiLink Chord_(music).
- Spiral_array_model wikiPageWikiLink Convex_combination.
- Spiral_array_model wikiPageWikiLink Enharmonic.
- Spiral_array_model wikiPageWikiLink Helix.
- Spiral_array_model wikiPageWikiLink Key_(music).
- Spiral_array_model wikiPageWikiLink Major_third.
- Spiral_array_model wikiPageWikiLink Music_theory.
- Spiral_array_model wikiPageWikiLink Perfect_fifth.
- 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 wikiPageWikiLink Category:Computational_music_cognition.
- Spiral_array_model wikiPageWikiLink Category:Music_analysis.
- Spiral_array_model wikiPageWikiLink Category:Music_perception.
- Spiral_array_model wikiPageWikiLink Category:Music_representation.
- Spiral_array_model wikiPageWikiLink File:Spiral_Array_Model–Major_Key_Representation.png.
- Spiral_array_model wikiPageWikiLink File:Spiral_Array_Model—Minor_Key_Representation.png.
- Spiral_array_model wikiPageWikiLink File:Spiral_Array_Model—Nested_Helices.png.
- Spiral_array_model wikiPageWikiLinkText "Spiral array model".
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- Spiral_array_model wikiPageUsesTemplate Template:More_footnotes.
- Spiral_array_model wikiPageUsesTemplate Template:Pitch_space.
- Spiral_array_model wikiPageUsesTemplate Template:Reflist.
- Spiral_array_model subject Category:Music_cognition.
- Spiral_array_model subject Category:Music_psychology.
- Spiral_array_model subject Category:Music_theory.
- Spiral_array_model subject Category:Pitch_space.
- Spiral_array_model subject Category:Computational_music_cognition.
- Spiral_array_model subject Category:Music_analysis.
- Spiral_array_model subject Category:Music_perception.
- Spiral_array_model subject Category:Music_representation.
- Spiral_array_model hypernym Type.
- Spiral_array_model type Redirect.
- Spiral_array_model comment "In music theory, the spiral array model is an extended type of pitch space. A mathematical model involving concentric helices (an \"array of spirals\"), it represents human perceptions of pitches, chords and keys in the same geometric space. 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 Q7577754.
- Spiral_array_model sameAs m.051zn6l.
- Spiral_array_model sameAs Q7577754.
- Spiral_array_model wasDerivedFrom Spiral_array_model?oldid=694744636.
- Spiral_array_model depiction Spiral_Array_Model—Nested_Helices.png.
- Spiral_array_model isPrimaryTopicOf Spiral_array_model.