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http://hdl.handle.net/11320/7637Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Coghetto, Roland | - |
| dc.date.accessioned | 2019-03-06T12:23:59Z | - |
| dc.date.available | 2019-03-06T12:23:59Z | - |
| dc.date.issued | 2018 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 26, Issue 4, Pages 239-269 | - |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/7637 | - |
| dc.description.abstract | In this article, using the Mizar system [3], [4], we define a structure [1], [6] in order to build a Pythagorean pentatonic scale and a Pythagorean heptatonic scale1 [5], [7]. | - |
| dc.language.iso | en | - |
| dc.publisher | DeGruyter Open | - |
| dc.subject | music | - |
| dc.subject | Pythagorean tuning | - |
| dc.subject | pentatonic scale | - |
| dc.subject | heptatonic scale | - |
| dc.title | Pythagorean Tuning: Pentatonic and Heptatonic Scale | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.2478/forma-2018-0022 | - |
| dc.description.Affiliation | Rue de la Brasserie 5, 7100 La Louvière, Belgium | - |
| dc.description.references | Grzegorz Bancerek. On the structure of Mizar types. In Herman Geuvers and Fairouz Kamareddine, editors, Electronic Notes in Theoretical Computer Science, volume 85, pages 69–85. Elsevier, 2003. | - |
| dc.description.references | Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41–46, 1990. | - |
| dc.description.references | Grzegorz Bancerek, Czesław Bylinski, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8_17. | - |
| dc.description.references | Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6. | - |
| dc.description.references | François Baskevitch. Les représentations de la propagation du son, d’Aristote à l’Encyclopédie. PhD thesis, Université de Nantes, France, 2008. | - |
| dc.description.references | Adam Grabowski, Artur Korniłowicz, and Christoph Schwarzweller. On algebraic hierarchies in mathematical repository of Mizar. In M. Ganzha, L. Maciaszek, and M. Paprzycki, editors, Proceedings of the 2016 Federated Conference on Computer Science and Information Systems (FedCSIS), volume 8 of Annals of Computer Science and Information Systems, pages 363–371, 2016. doi:10.15439/2016F520. | - |
| dc.description.references | Bernard Parzysz and Yves Hellegouarch. Musique et mathématique: (suivi de) Gammes naturelles. Number 53. Association des Professeurs de Mathématiques de l’Enseignement Public (APMEP), Paris, 1984. | - |
| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 26 | - |
| dc.description.issue | 4 | - |
| dc.description.firstpage | 239 | - |
| dc.description.lastpage | 269 | - |
| dc.identifier.citation2 | Formalized Mathematics | - |
| dc.identifier.orcid | 0000-0002-4901-0766 | - |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2018, Volume 26, Issue 4 | |
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|---|---|---|---|---|
| forma_2018_26_4_001.pdf | 303,76 kB | Adobe PDF | Otwórz |
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