コードの状態遷移
https://gyazo.com/4f915efa6af1519fea1c7d381a19dcbd
Relationship between the three main harmonic functions in a tonality Each ellipse gives information about
the name
keyがCの時
Tonic I ドミソ
III ミソシ
VI ラドミ
Subdominant IV ファラド
代理コード
II レファラ
VI ラドミ
Dominant V ソシレ
代理コード
III ミソシ
VII シレファ
https://gyazo.com/655ec209e8a12da151f197a2b56ed192
the meaning of each function.
the degrees corresponding to each function are shown.
It isnoteworthy that some chords have different function depending on its previous chord in the progression
Navarro, Maria & Caetano, Marcelo & Bernardes, Gilberto & De Castro, Leandro & Corchado Rodríguez, Juan. (2015). Automatic Generation of Chord Progressions with an Artificial Immune System. 9027. 10.1007/978-3-319-16498-4_16.
Chord progressions are widely used in music. The automatic generation of chord progressions can be challenging because it depends on many factors, such as the musical context, personal preference, and aesthetic choices. In this work, we propose a penalty function that encodes musical rules to automatically generate chord progressions. Then we use an artificial immune system (AIS) to minimize the penalty function when proposing candidates for the next chord in a sequence. The AIS is capable of finding multiple optima in parallel, resulting in several different chords as appropriate candidates. We performed a listening test to evaluate the chords subjectively and validate the penalty function. We found that chords with a low penalty value were considered better candidates than chords with higher penalty values.
https://gyazo.com/9abaf1bd7ef4965c8beeb49007cc6ae5
ivはsubdominantでは？基素.icon
Bernardes, Gilberto & Cocharro, Diogo & Caetano, Marcelo & Guedes, Carlos & Davies, Matthew. (2016). A multi-level tonal interval space for modelling pitch relatedness and musical consonance. Journal of New Music Research. 45. 1-14. 10.1080/09298215.2016.1182192.
In this paper we present a 12-dimensional tonal space in the context of the Tonnetz, Chew’s Spiral Array, and Harte’s 6-dimensional Tonal Centroid Space. The proposed Tonal Interval Space is calculated as the weighted Discrete Fourier Transform of normalized 12-element chroma vectors, which we represent as six circles covering the set of all possible pitch intervals in the chroma space. By weighting the contribution of each circle (and hence pitch interval) independently, we can create a space in which angular and Euclidean distances among pitches, chords, and regions concur with music theory principles. Furthermore, the Euclidean distance of pitch configurations from the centre of the space acts as an indicator of consonance. これも納得感ある/villagepump/nishio.icon
7つのコードに本質的な境界などなく円環状の構造であって、人間が適当に境界を引いただけということ