Timeline for Music: mathematical point of view (revised) [closed]
Current License: CC BY-SA 3.0
34 events
| when toggle format | what | by | license | comment | |
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| Sep 11, 2013 at 13:04 | review | Reopen votes | |||
| Sep 11, 2013 at 13:59 | |||||
| Nov 7, 2012 at 18:18 | vote | accept | Papiro | ||
| Oct 8, 2012 at 22:38 | history | closed |
Will Sawin Todd Trimble Douglas Zare user2995 Tom Leinster |
not a real question | |
| Oct 8, 2012 at 22:21 | answer | added | ex0du5 | timeline score: -3 | |
| Oct 8, 2012 at 19:55 | comment | added | Todd Trimble | "One might plausibly argue..." but the argument would not be a mathematical one. Anyway, the question as modified is quite vague; I've just entered a vote to close as "not a real question", in the sense of a "real mathematical question" that can be addressed here. | |
| Oct 8, 2012 at 18:55 | answer | added | Gene Ward Smith | timeline score: 2 | |
| Jul 11, 2012 at 10:09 | history | edited | Papiro | CC BY-SA 3.0 |
added 45 characters in body; edited title
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| Jul 7, 2012 at 6:21 | history | reopened |
Andrés E. Caicedo Charles Joseph O'Rourke Charles Rezk John Stillwell |
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| Jul 6, 2012 at 17:17 | history | edited | Papiro |
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| Jul 6, 2012 at 11:40 | comment | added | Minhyong Kim | Dear David, Of course you are right. But I think you are looking ahead to the classification of music. One might plausibly argue that the more fundamental question of what is or is not music can be understood in terms of the region $M$ of the configuration space. Once again, I realize this is likely to be very hard. One of the articles in the book amazon.com/gp/… shows a spectrogram comparing some famous symphony to an orchestra warming up. The two are essentially indistinguishable to a normal person's eye. | |
| Jul 6, 2012 at 11:03 | history | edited | Papiro | CC BY-SA 3.0 |
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| Jul 6, 2012 at 4:33 | comment | added | David Feldman | @Minhyong Kim - You're can be a reasonable reduction, but I think most musicologists would object to identifying a work of music with merely its sonic trace. A piece of music is a (whole) performance, a process and a social interaction. The Mazzola book basic argues that a musical composition (regardless of who besides the composer thinks it's music) is a sheaf (over some space that at least includes your I as a factor) and a performance is a section of that sheaf. It's already interesting to work out what sort of sheaves provide an adequate model for all existing compositions. | |
| Jul 6, 2012 at 4:20 | comment | added | Minhyong Kim | Consider a standard room $R $ of some sort and the space $R×I$, where $I$ is a time interval of length, say, one minute. Let $V$ be the space of all airwaves in $R$ over the interval $I$. There is a region $S\subset V$ consisting of sound, and a region $M\subset S$ consisting of sound that an average person considers music (this would have to be determined empirically). The question then is if we can give some reasonable mathematical characterization of $M$. Clearly difficult, but the question is well-defined. | |
| Jul 6, 2012 at 2:45 | history | made wiki | Post Made Community Wiki by S. Carnahan♦ | ||
| Jul 6, 2012 at 2:31 | history | closed |
Qiaochu Yuan user6976 Chris Godsil Ryan Budney Will Jagy |
not a real question | |
| Jul 6, 2012 at 1:58 | history | edited | user9072 | CC BY-SA 3.0 |
corrected umlauts
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| Jul 6, 2012 at 1:06 | comment | added | user5117 | I started a meta discussion about this question: tea.mathoverflow.net/discussion/1402/mathematics-and-music | |
| Jul 6, 2012 at 0:40 | answer | added | Mahdi Majidi-Zolbanin | timeline score: -6 | |
| Jul 5, 2012 at 23:43 | answer | added | Joseph O'Rourke | timeline score: 10 | |
| Jul 5, 2012 at 21:06 | history | reopened |
Joel David Hamkins David Feldman Papiro Andrey Rekalo Gil Kalai |
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| Jul 5, 2012 at 20:05 | history | closed |
Gerald Edgar Steven Landsburg Kevin Walker Federico Poloni Andy Putman |
off topic | |
| Jul 5, 2012 at 19:40 | answer | added | Lee Mosher | timeline score: 2 | |
| Jul 5, 2012 at 19:32 | answer | added | Dick Palais | timeline score: 10 | |
| Jul 5, 2012 at 19:22 | comment | added | user2035 | There are certainly attempts at connecting mathematics and music, but the question whether they actually get anywhere near making a connection is subjective and argumentative. | |
| Jul 5, 2012 at 19:20 | answer | added | Denis Serre | timeline score: 2 | |
| Jul 5, 2012 at 18:52 | answer | added | Margaret Friedland | timeline score: 3 | |
| Jul 5, 2012 at 18:49 | comment | added | David Feldman | Here's why I don't vote to close: a pure mathematician myself, I consider all applications of mathematics as good for business. Mathematics flourishes to the extent that it becomes relevant to the largest numbers of people thinking about the greatest diversity of things. Mathematics has powerful enemies who sometimes control funding, and they will eventually seize on seeming evidence of insularity. This question seems soft, but not so the 1335-page tome I recommended as framing a direct answer to it. Interesting mathematics can start from soft questions. | |
| Jul 5, 2012 at 18:22 | answer | added | David Feldman | timeline score: 16 | |
| Jul 5, 2012 at 18:20 | answer | added | Sniper Clown | timeline score: 5 | |
| Jul 5, 2012 at 18:11 | comment | added | Kevin Walker | The question is pretty vague and nonspecific. This defect could be corrected in various ways, many of them quite interesting, but most of them not a good fit for MO. Voting to close. | |
| Jul 5, 2012 at 18:11 | history | edited | Papiro | CC BY-SA 3.0 |
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| Jul 5, 2012 at 18:01 | comment | added | Yul Otani | I have no idea of what it says, but there is a paper called "Towards A Categorical Approach of Transformational Music Theory" by Alexandre Popoff [arxiv.org/abs/1204.3216]. I saw this at John Baez' post plus.google.com/u/0/117663015413546257905/posts/fLByuSqNew9. | |
| Jul 5, 2012 at 17:52 | comment | added | Gerald Edgar | That is not a mathematical question. It belongs in psychology, maybe. | |
| Jul 5, 2012 at 17:48 | history | asked | Papiro | CC BY-SA 3.0 |