On Kepler's geometric approach to consonances
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912017326014464 |
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| author | Frauenfelder, Urs |
| author_facet | Frauenfelder, Urs |
| contents | Kepler's thinking is highly original and the inspiration for discovering his famous third law is based on his rather curious geometric approach in his Harmonices mundi for explaining consonances. In this article we try to use a modern mathematical approach based on Kepler's ideas how to characterize the seven consonances with the help of the numbers of edges of polygons constructible by ruler and compass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04119 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Kepler's geometric approach to consonances Frauenfelder, Urs History and Overview Symplectic Geometry Kepler's thinking is highly original and the inspiration for discovering his famous third law is based on his rather curious geometric approach in his Harmonices mundi for explaining consonances. In this article we try to use a modern mathematical approach based on Kepler's ideas how to characterize the seven consonances with the help of the numbers of edges of polygons constructible by ruler and compass. |
| title | On Kepler's geometric approach to consonances |
| topic | History and Overview Symplectic Geometry |
| url | https://arxiv.org/abs/2409.04119 |