{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:19:18Z","timestamp":1760242758072,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2016,5,3]],"date-time":"2016-05-03T00:00:00Z","timestamp":1462233600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["SFRH\/BPD\/88722\/2012"],"award-info":[{"award-number":["SFRH\/BPD\/88722\/2012"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Bernstein Center for Computational Neuroscience Munich","award":["BMBF 01 GQ 1004B"],"award-info":[{"award-number":["BMBF 01 GQ 1004B"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Sciences"],"abstract":"<jats:p>The practice of harmonic mixing is a technique used by DJs for the beat-synchronous and harmonic alignment of two or more pieces of music. In this paper, we present a new harmonic mixing method based on psychoacoustic principles. Unlike existing commercial DJ-mixing software, which determines compatible matches between songs via key estimation and harmonic relationships in the circle of fifths, our approach is built around the measurement of musical consonance. Given two tracks, we first extract a set of partials using a sinusoidal model and average this information over sixteenth note temporal frames. By scaling the partials of one track over \u00b16 semitones (in 1\/8th semitone steps), we determine the pitch-shift that maximizes the consonance of the resulting mix. For this, we measure the consonance between all combinations of dyads within each frame according to psychoacoustic models of roughness and pitch commonality. To evaluate our method, we conducted a listening test where short musical excerpts were mixed together under different pitch shifts and rated according to consonance and pleasantness. Results demonstrate that sensory roughness computed from a small number of partials in each of the musical audio signals constitutes a reliable indicator to yield maximum perceptual consonance and pleasantness ratings by musically-trained listeners.<\/jats:p>","DOI":"10.3390\/app6050123","type":"journal-article","created":{"date-parts":[[2016,5,3]],"date-time":"2016-05-03T10:12:55Z","timestamp":1462270375000},"page":"123","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Psychoacoustic Approaches for Harmonic Music Mixing"],"prefix":"10.3390","volume":"6","author":[{"given":"Roman","family":"Gebhardt","sequence":"first","affiliation":[{"name":"Audio Information Processing, Technische Universit\u00e4t M\u00fcnchen, Arcisstra\u00dfe 21, 80333 Munich, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1315-3992","authenticated-orcid":false,"given":"Matthew","family":"Davies","sequence":"additional","affiliation":[{"name":"Sound and Music Computing Group, Instituto de Engenharia de Sistemas e Computadores, Tecnologia e Ci\u00eancia - INESC TEC, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal"}]},{"given":"Bernhard","family":"Seeber","sequence":"additional","affiliation":[{"name":"Audio Information Processing, Technische Universit\u00e4t M\u00fcnchen, Arcisstra\u00dfe 21, 80333 Munich, Germany"}]}],"member":"1968","published-online":{"date-parts":[[2016,5,3]]},"reference":[{"key":"ref_1","unstructured":"Ishizaki, H., Hoashi, K., and Takishima, Y. (2009, January 26\u201330). Full-automatic DJ mixing with optimal tempo adjustment based on measurement function of user discomfort. Proceedings of the International Society for Music Information Retrieval Conference, Kobe, Japan."},{"key":"ref_2","unstructured":"Sha\u2019ath, I. (2011). Estimation of Key in Digital Music Recordings. [Master\u2019s Thesis, Birkbeck College, University of London]."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1726","DOI":"10.1109\/TASLP.2014.2347135","article-title":"AutoMashUpper: Automatic creation of multi-song mashups","volume":"22","author":"Davies","year":"2014","journal-title":"IEEE\/ACM Trans. Audio Speech Lang. Process."},{"key":"ref_4","unstructured":"Lee, C.L., Lin, Y.T., Yao, Z.R., Li, F.Y., and Wu, J.L. (2015, January 26\u201330). Automatic Mashup Creation By Considering Both Vertical and Horizontal Mashabilities. Proceedings of the International Society for Music Information Retrieval Conference, Malaga, Spain."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"276","DOI":"10.2307\/40285261","article-title":"The concept of musical consonance: A link between music and psychoacoustics","volume":"1","author":"Terhardt","year":"1984","journal-title":"Music Percept."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Terhardt, E. (1998). Akustische Kommunikation (Acoustic Communication), Springer. (In German).","DOI":"10.1007\/978-3-642-58733-7"},{"key":"ref_7","unstructured":"Gebhardt, R., Davies, M.E.P., and Seeber, B. (December, January 30). Harmonic Mixing Based on Roughness and Pitch Commonality. Proceedings of the 18th International Conference on Digital Audio Effects (DAFx-15), Trondheim, Norway."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1080\/01411897908574504","article-title":"The significance of the acoustic component of consonance of Western triads","volume":"3","author":"Hutchinson","year":"1979","journal-title":"J. Musicol. Res."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Parncutt, R. (1989). Harmony: A Psychoacoustical Approach, Springer.","DOI":"10.1007\/978-3-642-74831-8"},{"key":"ref_10","unstructured":"Hofman-Engl, L. (1999, January 19\u201322). Virtual Pitch and Pitch Salience in Contemporary Composing. Proceedings of the VI Brazilian Symposium on Computer Music, Rio de Janeiro, Brazil."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2307\/833600","article-title":"Applying psychoacoustics in composition: \u201cHarmonic\u201d progressions of \u201cnon-harmonic\u201d sonorities","volume":"32","author":"Parncutt","year":"1994","journal-title":"Perspect. New Music"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/09298217808570246","article-title":"The acoustic component of western consonance","volume":"7","author":"Hutchinson","year":"1978","journal-title":"Interface"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"548","DOI":"10.1121\/1.1909741","article-title":"Tonal consonance and critical bandwidth","volume":"38","author":"Plomp","year":"1965","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_14","unstructured":"Sethares, W. (2004). Tuning, Tibre, Spectrum, Scale, Springer. [2nd ed.]."},{"key":"ref_15","unstructured":"Ba\u00f1uelos, D. (2008). Beyond the Spectrum of Music: An Exploration through Spectral Analysis of SoundColor in the Alban Berg Violin Concerto, VDM."},{"key":"ref_16","unstructured":"Parncutt, R. Parncutt\u2019s Implementation of Hutchinson & Knopoff. Available online: http:\/\/uni-graz.at\/parncutt\/rough1doc.html."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"750","DOI":"10.1121\/1.389861","article-title":"Suggested formulae for calculating auditory-filter bandwidths and excitation patterns","volume":"74","author":"Moore","year":"1983","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1007\/978-3-540-85035-9_13","article-title":"Real-Time Analysis of Sensory Dissonance","volume":"Volume 4969","author":"Ystad","year":"2008","journal-title":"Computer Music Modeling and Retrieval. Sense of Sounds"},{"key":"ref_19","unstructured":"Vassilakis, P.N. (2007, January 11\u201313). SRA: A Web-based Research Tool for Spectral and Roughness Analysis of Sound Signals. Proceedings of the Sound and Music Computing Conference, Lefkada, Greece."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1121\/1.387543","article-title":"Algorithm for Extraction of Pitch and Pitch Salience from Complex Tonal Signals","volume":"71","author":"Terhardt","year":"1982","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_21","unstructured":"Hesse, A. (1985). Fortschritte der Akustik, DPG-Verlag. (In German)."},{"key":"ref_22","unstructured":"Apel, W. (1970). The Harvard Dictionary of Music, Harvard University Press. [2nd ed.]."},{"key":"ref_23","unstructured":"Hofman-Engl, L. (2008, January 25\u201329). Virtual Pitch and the Classification of Chords in Minor and Major Keys. Proceedings of the ICMPC10, Sapporo, Japan."},{"key":"ref_24","unstructured":"Rubber Band Library. Available online: http:\/\/breakfastquay.com\/rubberband\/."},{"key":"ref_25","unstructured":"Serra, X. SMS-tools. Available online: https:\/\/github.com\/MTG\/sms-tools."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"12","DOI":"10.2307\/3680788","article-title":"Spectral modeling synthesis: A sound analysis\/synthesis based on a deterministic plus stochastic decomposition","volume":"14","author":"Serra","year":"1990","journal-title":"Comput. Music J."},{"key":"ref_27","unstructured":"Robinson, D. (2002). Perceptual Model for Assessment of Coded Audio. [Ph.D. Thesis, University of Essex]."},{"key":"ref_28","unstructured":"Native Instruments Traktor Pro 2 (version 6.1). Available online: http:\/\/www.native-instruments.com\/en\/products\/traktor\/dj-software\/traktor-pro-2\/."}],"container-title":["Applied Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2076-3417\/6\/5\/123\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T19:23:13Z","timestamp":1760210593000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2076-3417\/6\/5\/123"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,5,3]]},"references-count":28,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2016,5]]}},"alternative-id":["app6050123"],"URL":"https:\/\/doi.org\/10.3390\/app6050123","relation":{},"ISSN":["2076-3417"],"issn-type":[{"type":"electronic","value":"2076-3417"}],"subject":[],"published":{"date-parts":[[2016,5,3]]}}}