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2D and 3D proximity maps for major and minor keys and chords

Tangian, Andranik S.


Minor and major keys/chords are arranged along the joint subdominant-dominant axis. For this purpose, the relative minor for a major tonic (e.g. Am regarding C major) is put between the tonic and its subdominant (F), being interpreted as the ‘semi-subdominant’. Correspondingly, the relative major for a minor key (C for Am) is called its ‘semi-dominant’. Thereby, two axes of fifths for major and minor keys are merged into one. To reflect the proximity of other types of key/chord relations (parallel major-minor keys, major dominants in minor keys and minor subdominants in major keys), this axis is closed by analogy with the circle of fifths and twisted, as if wrapping a torus. The torus unfolded results in a key/chord proximity map. Due to using the subdominant-dominant axis, it is free from inconsistencies inherent in some known maps.

Volltext §
DOI: 10.5445/IR/1000135520
Veröffentlicht am 19.07.2021
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Volkswirtschaftslehre (ECON)
Publikationstyp Forschungsbericht/Preprint
Publikationsmonat/-jahr 07.2021
Sprache Englisch
Identifikator ISSN: 2194-1629
KITopen-ID: 1000135520
Verlag Karlsruher Institut für Technologie (KIT)
Umfang 21 S.
Serie KIT Scientific Working Papers ; 171
Schlagwörter Music theory, diatonic functions, key proximity map, tonic, dominant,, subdominant, mediant
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