A multi-level tonal interval space for modelling pitch relatedness and musical consonance
Bibliographic Data
| ID | 5304501 |
|---|---|
| Authors | Gilberto Bernardes (0000-0003-3884-2687, INESC TEC, corresponding author), Diogo Cocharro (INESC TEC), Marcelo Caetano (0000-0002-5119-8964, INESC TEC), Cristiano Guedes (0000-0002-1898-2183, INESC TEC), Carlos Guedes, M E P Davies (0000-0002-1315-3992, INESC TEC) |
| Year | 2016 |
| Volume | 45 |
| Issue | 4 |
| Pages | 281-294 |
| Publication date | 2016-10-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Journal of New Music Research (JOURNAL) |
| Journal identifiers | ISSN: 0929-8215 • E-ISSN: 1744-5027 |
| Publisher | Informa UK Limited (PUBLISHER • GB) |
| DOI | 10.1080/09298215.2016.1182192 |
| OpenAlex | W2399081453 |
| Language | EN |
| Citations received | 2 |
| References cited | 38 |
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
Acoustics · Combinatorics · Euclidean space · Mathematical analysis · Musical · Musical tone · Physics · Relative pitch · Speech recognition · Weighting · Computer Science · Mathematics · Music and Audio Processing · Music Technology and Sound Studies · Neuroscience and Music Perception
| Unique citing works | 2 |
|---|---|
| Citations per year | 0.29 |
| Citation span | 2019 - 2022 (4) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 2 |