التفاصيل البيبلوغرافية
| العنوان: |
Exhaustive chord progressions and their use in music composition. |
| المؤلفون: |
Bedouelle, Hugues |
| المصدر: |
Journal of Mathematics & Music; Mar2024, Vol. 18 Issue 1, p42-60, 19p |
| مصطلحات موضوعية: |
CHORDS (Music theory), MUSICAL composition, MUSICAL form, PARSIMONIOUS models, HARMONY in music |
| مستخلص: |
A general approach for the design of mild chord progressions from the n-chords (unordered pitch-class sets of cardinal n) of a p-tonic scale was developed. Four relations between n-chords were considered: equivalence through transformation (transposition or inversion), parsimony (quasi-identity), mildness (equivalence or parsimony) and fuzziness (quasi-equivalence). The results showed that these relations are symmetrical and compatible with any transformation. Therefore, a parsimonious, mild or fuzzy progression of n-chords exists in 48 forms that keep its properties: direct, retrograde, inverted, retrograde inverted and their transpositions. Circular non-redundant exhaustive parsimonious progressions of the n-chords from a p-tonic scale were established for n = 2–5 and p = 2–9. The n-chords and their progressions can be represented in a two-dimensional table of the (n – 1)-chords of the p-tonic scale versus the set classes of its n-chords. Harmony and structural form can thus be deduced from the intrinsic properties of a scale. [ABSTRACT FROM AUTHOR] |
|
Copyright of Journal of Mathematics & Music is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
PDF full text from Publisher 
Full Text Finder