{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T20:38:26Z","timestamp":1743107906248,"version":"3.40.3"},"publisher-location":"Cham","reference-count":22,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030213916"},{"type":"electronic","value":"9783030213923"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-21392-3_16","type":"book-chapter","created":{"date-parts":[[2019,6,10]],"date-time":"2019-06-10T23:02:35Z","timestamp":1560207755000},"page":"201-212","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Distributional Analysis of n-Dimensional Feature Space for 7-Note Scales in 22-TET"],"prefix":"10.1007","author":[{"given":"Gareth M.","family":"Hearne","sequence":"first","affiliation":[]},{"given":"Andrew J.","family":"Milne","sequence":"additional","affiliation":[]},{"given":"Roger T.","family":"Dean","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,5,31]]},"reference":[{"issue":"3","key":"16_CR1","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1080\/17459730701654990","volume":"1","author":"E Amiot","year":"2007","unstructured":"Amiot, E.: David Lewin and maximally even sets. J. Math. Music 1(3), 157\u2013172 (2007)","journal-title":"J. Math. Music"},{"doi-asserted-by":"crossref","unstructured":"Amiot, E.: Discrete Fourier transform and Bach\u2019s good temperament. Music Theory Online 15(2), (2009). http:\/\/www.mtosmt.org\/issues\/mto.09.15.2\/mto.09.15.2.amiot.html. Accessed 10 Jan 2019","key":"16_CR2","DOI":"10.30535\/mto.15.2.1"},{"key":"16_CR3","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1007\/978-1-4684-8917-0_17","volume-title":"Music, Mind, and Brain","author":"GJ Balzano","year":"1982","unstructured":"Balzano, G.J.: The pitch set as a level of description for studying musical pitch perception. In: Clynes, M. (ed.) Music, Mind, and Brain, pp. 321\u2013351. Springer, Boston (1982). https:\/\/doi.org\/10.1007\/978-1-4684-8917-0_17"},{"issue":"1\/2","key":"16_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1215\/00222909-46-1-2-1","volume":"46","author":"N Carey","year":"2002","unstructured":"Carey, N.: On coherence and sameness, and the evaluation of scale candidacy claims. J. Music Theory 46(1\/2), 1\u201356 (2002)","journal-title":"J. Music Theory"},{"issue":"2","key":"16_CR5","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1080\/17459730701376743","volume":"1","author":"N Carey","year":"2007","unstructured":"Carey, N.: Coherence and sameness in well-formed and pairwise well-formed scales. J. Math. Music 1(2), 79\u201398 (2007)","journal-title":"J. Math. Music"},{"issue":"2","key":"16_CR6","doi-asserted-by":"publisher","first-page":"187","DOI":"10.2307\/745935","volume":"11","author":"N Carey","year":"1989","unstructured":"Carey, N., Clampitt, D.: Aspects of well-formed scales. Music Theory Spectr. 11(2), 187\u2013206 (1989)","journal-title":"Music Theory Spectr."},{"key":"16_CR7","series-title":"Communications in Computer and Information Science","doi-asserted-by":"publisher","first-page":"464","DOI":"10.1007\/978-3-642-04579-0_46","volume-title":"Mathematics and Computation in Music","author":"D Clampitt","year":"2009","unstructured":"Clampitt, D.: Mathematical and musical properties of pairwise well-formed scales. In: Klouche, T., Noll, T. (eds.) MCM 2007. CCIS, vol. 37, pp. 464\u2013468. Springer, Heidelberg (2009). https:\/\/doi.org\/10.1007\/978-3-642-04579-0_46"},{"unstructured":"Clampitt, D.L.: Pairwise Well-formed Scales: Structural and Transformational Properties (1998)","key":"16_CR8"},{"issue":"1\/2","key":"16_CR9","doi-asserted-by":"publisher","first-page":"93","DOI":"10.2307\/843811","volume":"35","author":"J Clough","year":"1991","unstructured":"Clough, J., Douthett, J.: Maximally even sets. J. Music Theory 35(1\/2), 93\u2013173 (1991)","journal-title":"J. Music Theory"},{"issue":"1","key":"16_CR10","doi-asserted-by":"publisher","first-page":"36","DOI":"10.2307\/745908","volume":"15","author":"J Clough","year":"1993","unstructured":"Clough, J., Douthett, J., Ramanathan, N., Rowell, L.: Early indian heptatonic scales and recent diatonic theory. Music Theory Spectr. 15(1), 36\u201358 (1993)","journal-title":"Music Theory Spectr."},{"issue":"1","key":"16_CR11","doi-asserted-by":"publisher","first-page":"74","DOI":"10.2307\/745921","volume":"21","author":"J Clough","year":"1999","unstructured":"Clough, J., Engebretsen, N., Kochavi, J.: Scales, sets, and interval cycles: a taxonomy. Music Theory Spectr. 21(1), 74\u2013104 (1999)","journal-title":"Music Theory Spectr."},{"issue":"2","key":"16_CR12","doi-asserted-by":"publisher","first-page":"249","DOI":"10.2307\/843615","volume":"29","author":"J Clough","year":"1985","unstructured":"Clough, J., Myerson, G.: Variety and multiplicity in diatonic systems. J. Music Theory 29(2), 249\u2013270 (1985)","journal-title":"J. Music Theory"},{"unstructured":"Op de Coul, M.: Scala. http:\/\/www.huygens-fokker.org\/scala\/","key":"16_CR13"},{"key":"16_CR14","volume-title":"Music and the Power of Sound: The Influence of Tuning and Interval on Consciousness","author":"A Dani\u00e9lou","year":"1995","unstructured":"Dani\u00e9lou, A.: Music and the Power of Sound: The Influence of Tuning and Interval on Consciousness. Inner Traditions\/Bear, Rochester (1995)"},{"key":"16_CR15","first-page":"12","volume":"17","author":"P Erlich","year":"1998","unstructured":"Erlich, P.: Tuning, tonality, and twenty-two-tone temperament. Xenharmonikon 17, 12\u201340 (1998)","journal-title":"Xenharmonikon"},{"unstructured":"Erlich, P.: Private communication (2017)","key":"16_CR16"},{"issue":"1","key":"16_CR17","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1162\/COMJ_a_00343","volume":"40","author":"AJ Milne","year":"2016","unstructured":"Milne, A.J., Dean, R.T.: Computational creation and morphing of multilevel rhythms by control of evenness. Comput. Music J. 40(1), 35\u201353 (2016)","journal-title":"Comput. Music J."},{"key":"16_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"126","DOI":"10.1007\/3-540-07016-8_8","volume-title":"Formal Aspects of Cognitive Processes","author":"D Rothenberg","year":"1975","unstructured":"Rothenberg, D.: A mathematical model for perception applied to the perception of pitch. In: Storer, T., Winter, D. (eds.) Formal Aspects of Cognitive Processes. LNCS, vol. 22, pp. 126\u2013141. Springer, Heidelberg (1975). https:\/\/doi.org\/10.1007\/3-540-07016-8_8"},{"issue":"1","key":"16_CR19","doi-asserted-by":"publisher","first-page":"353","DOI":"10.1007\/BF01768486","volume":"11","author":"D Rothenberg","year":"1977","unstructured":"Rothenberg, D.: A model for pattern perception with musical applications part II: the information content of pitch structures. Math. Syst. Theory 11(1), 353\u2013372 (1977)","journal-title":"Math. Syst. Theory"},{"key":"16_CR20","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/0377-0427(87)90125-7","volume":"20","author":"PJ Rousseeuw","year":"1987","unstructured":"Rousseeuw, P.J.: Silhouettes: a graphical aid to the interpretation and validation of cluster analysis. J. comput. Appl. Math. 20, 53\u201365 (1987)","journal-title":"J. comput. Appl. Math."},{"unstructured":"Wilson, E.: Letter to John Chalmers petertaining to Moments of Symmetry\/Tanabe Cycle (1975). http:\/\/www.anphoria.com\/meruone.pdf","key":"16_CR21"},{"unstructured":"Wilson, E.: On the development of intonational systems by extended linear mapping. Xenharmonikon 3 (1975). http:\/\/www.anaphoria.com\/xen3b.pdf. Accessed 10 Jan 2019","key":"16_CR22"}],"container-title":["Lecture Notes in Computer Science","Mathematics and Computation in Music"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-21392-3_16","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,7]],"date-time":"2024-03-07T13:38:48Z","timestamp":1709818728000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-21392-3_16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030213916","9783030213923"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-21392-3_16","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"31 May 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"MCM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Mathematics and Computation in Music","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Madrid","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Spain","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"18 June 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21 June 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"7","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"mcm22019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/mcm19.etsisi.upm.es\/home","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}