Entropy-based tuning of musical instruments
The human sense of hearing perceives a combination of sounds 'in tune' if the corresponding harmonic spectra are correlated, meaning that the neuronal excitation pattern in the inner ear exhibits some kind of order. Based on this observation it is suggested that musical instruments such as...
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| Format: | Article |
| Language: | Portuguese |
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Sociedade Brasileira de Física
2012-06-01
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| Series: | Revista Brasileira de Ensino de Física |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172012000200004&tlng=en |
| _version_ | 1818979262875566080 |
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| author | Haye Hinrichsen |
| author_facet | Haye Hinrichsen |
| author_sort | Haye Hinrichsen |
| collection | DOAJ |
| description | The human sense of hearing perceives a combination of sounds 'in tune' if the corresponding harmonic spectra are correlated, meaning that the neuronal excitation pattern in the inner ear exhibits some kind of order. Based on this observation it is suggested that musical instruments such as pianos can be tuned by minimizing the Shannon entropy of suitably preprocessed Fourier spectra. This method reproduces not only the correct stretch curve but also similar pitch fluctuations as in the case of high-quality aural tuning. |
| first_indexed | 2024-12-20T16:56:45Z |
| format | Article |
| id | doaj.art-eca831c37dc847cd82d0ee21e15c3867 |
| institution | Directory Open Access Journal |
| issn | 1806-9126 |
| language | Portuguese |
| last_indexed | 2024-12-20T16:56:45Z |
| publishDate | 2012-06-01 |
| publisher | Sociedade Brasileira de Física |
| record_format | Article |
| series | Revista Brasileira de Ensino de Física |
| spelling | doaj.art-eca831c37dc847cd82d0ee21e15c38672022-12-21T19:32:43ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-91262012-06-013421810.1590/S1806-11172012000200004Entropy-based tuning of musical instrumentsHaye Hinrichsen0Bergische Universität WuppertalThe human sense of hearing perceives a combination of sounds 'in tune' if the corresponding harmonic spectra are correlated, meaning that the neuronal excitation pattern in the inner ear exhibits some kind of order. Based on this observation it is suggested that musical instruments such as pianos can be tuned by minimizing the Shannon entropy of suitably preprocessed Fourier spectra. This method reproduces not only the correct stretch curve but also similar pitch fluctuations as in the case of high-quality aural tuning.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172012000200004&tlng=enclassical physicsacousticsbiophysics |
| spellingShingle | Haye Hinrichsen Entropy-based tuning of musical instruments Revista Brasileira de Ensino de Física classical physics acoustics biophysics |
| title | Entropy-based tuning of musical instruments |
| title_full | Entropy-based tuning of musical instruments |
| title_fullStr | Entropy-based tuning of musical instruments |
| title_full_unstemmed | Entropy-based tuning of musical instruments |
| title_short | Entropy-based tuning of musical instruments |
| title_sort | entropy based tuning of musical instruments |
| topic | classical physics acoustics biophysics |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172012000200004&tlng=en |
| work_keys_str_mv | AT hayehinrichsen entropybasedtuningofmusicalinstruments |