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Applying the phi ratio in designing a musical scale
Thesis (MMus (Music))--University of Stellenbosch, 2005.
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| Format: | Thesis |
| Language: | en_ZA |
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Stellenbosch : University of Stellenbosch
2007
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| _version_ | 1867614041737789440 |
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| access_status_str | Open Access |
| author | Smit, Konrad van Zyl |
| author2 | Herbst, Theo |
| author_browse | Herbst, Theo Smit, Konrad van Zyl |
| author_facet | Herbst, Theo Smit, Konrad van Zyl |
| author_sort | Smit, Konrad van Zyl |
| collection | Thesis |
| dc_rights_str_mv | University of Stellenbosch |
| description | Thesis (MMus (Music))--University of Stellenbosch, 2005. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/2989 |
| institution | Stellenbosch University (South Africa) |
| language | en_ZA |
| last_indexed | 2026-06-10T12:45:43.568Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2007 |
| publishDateRange | 2007 |
| publishDateSort | 2007 |
| publisher | Stellenbosch : University of Stellenbosch |
| publisherStr | Stellenbosch : University of Stellenbosch |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/2989 Applying the phi ratio in designing a musical scale Smit, Konrad van Zyl Herbst, Theo Vermeulen, Johan University of Stellenbosch. Faculty of Arts and Social Sciences. Dept. of Music. Ratio analysis -- Data processing Consonance (Music) -- Data processing Musical intervals and scales -- Data processing Cognition -- Data processing Psychoacoustics -- Data processing Pi-calculus -- Data processing Dissertations -- Music Theses -- Music Thesis (MMus (Music))--University of Stellenbosch, 2005. In this thesis, an attempt is made to create an aesthetically pleasing musical scale based on the ratio of phi. Precedents for the application of phi in aesthetic fields exist; noteworthy is Le Corbusier’s architectural works, the measurements of which are based on phi. A brief discussion of the unique mathematical properties of phi is given, followed by a discussion of the manifestations of phi in the physical ratios as they appear in animal and plant life. Specific scales which have found an application in art music are discussed, and the properties to which their success is attributable are identified. Consequently, during the design of the phi scale, these characteristics are incorporated. The design of the phi scale is facilitated by the use of the most sophisticated modern computer software in the field of psychacoustics. During the scale’s design process, particular emphasis is placed on the requirement of obtaining maximal sensory consonance. For this reason, an in-depth discussion of the theories regarding consonance perception is undertaken. During this discussion, the reader’s attention is drawn to the difference between musical and perceptual consonance, and a discussion of the developmental history of musical consonance is given. Lastly, the scale is tested to see whether it complies with the requirements for successful scales. Masters 2007-01-22T12:58:27Z 2010-06-01T09:03:13Z 2007-01-22T12:58:27Z 2010-06-01T09:03:13Z 2005-03 Thesis http://hdl.handle.net/10019.1/2989 en_ZA University of Stellenbosch 5992229 bytes application/pdf application/pdf Stellenbosch : University of Stellenbosch |
| spellingShingle | Ratio analysis -- Data processing Consonance (Music) -- Data processing Musical intervals and scales -- Data processing Cognition -- Data processing Psychoacoustics -- Data processing Pi-calculus -- Data processing Dissertations -- Music Theses -- Music Smit, Konrad van Zyl Applying the phi ratio in designing a musical scale |
| title | Applying the phi ratio in designing a musical scale |
| title_full | Applying the phi ratio in designing a musical scale |
| title_fullStr | Applying the phi ratio in designing a musical scale |
| title_full_unstemmed | Applying the phi ratio in designing a musical scale |
| title_short | Applying the phi ratio in designing a musical scale |
| title_sort | applying the phi ratio in designing a musical scale |
| topic | Ratio analysis -- Data processing Consonance (Music) -- Data processing Musical intervals and scales -- Data processing Cognition -- Data processing Psychoacoustics -- Data processing Pi-calculus -- Data processing Dissertations -- Music Theses -- Music |
| url | http://hdl.handle.net/10019.1/2989 |
| work_keys_str_mv | AT smitkonradvanzyl applyingthephiratioindesigningamusicalscale |