2026-09-18T18:28:16Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/24474 2023-07-10 col_2142_5131 col_2142_14832 com_2142_5130 com_2142_14831 com_2142_5126

Taube, Heinrich K. Taube, Heinrich K. Lund, Erik R. Magee, Gayle Sherwood Tharp, Reynold Rundall, Jacob D. 2011-05-25T14:24:37Z 2013-05-26T10:00:18Z 2011-05-25T14:24:37Z 2011-05 This dissertation defines musical polymeter in relation to a theory of meter as a hierarchical structure. It also disambiguates polymeter from related concepts and defines a complete classification of polymetric possibilities using a thorough, analytical approach. The system accommodates both isochronous and non-isochronous meters and classifies polymetric structures based on the relationships between corresponding levels in the component meters. Such levels are related by factors such as proportionality, coincidence, and periodicity. The classification is created by first constructing a list of all conceivable combinations of relationships between corresponding metrical levels and then eliminating those arrangements that are impossible. The system is illustrated with numerous figures. A concise labeling system is also provided. The final chapter of this work presents various analytical techniques, including graphical and quantitative methods. This system handles all different kinds of coordinated polymeter in one conceptual framework. It also suggests an organized approach to composing with polymeter and provides polymetric configurations that may not have been previously explored by composers and theorists. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2011-03-30T12:59:25Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Rundall_Jacob.doc: 25293824 bytes, checksum: f0cf2b4a1aef8745ef7f32f43715ef29 (MD5) Rundall_Jacob.pdf: 27137913 bytes, checksum: d72ded315a7e6259a186105d5aa89807 (MD5) Made available in DSpace on 2011-05-25T14:24:37Z (GMT). No. of bitstreams: 3 Rundall_Jacob.pdf: 27137913 bytes, checksum: d72ded315a7e6259a186105d5aa89807 (MD5) license.txt: 4062 bytes, checksum: 862aa35c97062f04b88b4b6fc3a1b0c0 (MD5) Rundall_Jacob.doc: 25293824 bytes, checksum: f0cf2b4a1aef8745ef7f32f43715ef29 (MD5) Item marked as restricted to the 'Administrator' Group (id=1) by William Ingram (wingram2@illinois.edu) on 2011-05-25T14:29:52Z Item is restricted until 2013-05-25T14:29:35Z Item reinstated by Sarah Shreeves (sshreeve@illinois.edu) on 2013-05-26T10:00:18Z Item was in collections: University of Illinois Dissertations and Theses (ID: 204) Dissertations and Theses - Music (ID: 691) No. of bitstreams: 4 Rundall_Jacob.pdf.txt: 261567 bytes, checksum: efa4c0ae1009e022bbe3d639405bb0bd (MD5) Rundall_Jacob.pdf: 27137913 bytes, checksum: d72ded315a7e6259a186105d5aa89807 (MD5) license.txt: 4062 bytes, checksum: 862aa35c97062f04b88b4b6fc3a1b0c0 (MD5) Rundall_Jacob.doc: 25293824 bytes, checksum: f0cf2b4a1aef8745ef7f32f43715ef29 (MD5) Item released from any restrictions by Sarah Shreeves (sshreeve@illinois.edu) on 2013-05-26T10:00:18Z http://hdl.handle.net/2142/24474 en Copyright 2011 Jacob D. Rundall meter musical meter polymeter musical polymeter polymeter classification classification of polymeter classification of musical polymeter non-isochronous meter rhythm polyrhythm polytempo polymeter representation representation of polymeter representation of musical polymeter Polymeter: disambiguation, classification, and analytical techniques Music 1495 Music 0265 University of Illinois at Urbana-Champaign Dissertation A.Mus.D. AMUSD:Music -UIUC 10KS0265AMUS