음악의 과학적 이론: 화음의 원리 해명

--> Computer Science > Sound arXiv:1202.4212 (cs) [Submitted on 20 Feb 2012 ( v1 ), last revised 9 Jun 2014 (this version, v2)] Title: Harmony Explained: Progress Towards A Scientific Theory of Music Authors: Daniel Shawcross Wilkerson View a PDF of the paper titled Harmony Explained: Progress Towards A Scientific Theory of Music, by Daniel Shawcross Wilkerson No PDF available, click to view other formats Abstract: Most music theory books are like medieval medical textbooks: they contain unjustified superstition, non-reasoning, and funny symbols glorified by Latin phrases. How does music, in particular harmony, actually work, presented as a real, scientific theory of music? The core to our approach is to consider not only the Physical phenomena of nature but also the Computational phenomena of any machine that must make sense of sound, such as the human brain. In particular we derive the following three fundamental phenomena of music: * the Major Scale, * the Standard Chord Dictionary, and * the difference in feeling between the Major and Minor Triads. While the Major Scale has been independently derived before by others in a similar manner [Helmholtz1863, Birkhoff1933], I believe the derivation of the Standard Chord Dictionary as well as the difference in feeling between the Major and Minor Triads to be original. We show to be incomplete the theory of the heretofore agreed-upon authority on this subject, 19th-century Physicist Hermann Helmholtz [Helmholtz1863]: he says notes are in &#34;concord&#34; because the sound playing them together is &#34;less worse&#34; than that of some other notes. But note that, in this theory, more notes can only penalize, some merely less than others, and so the most harmonious sound should be a single note by itself(!) and harmony would not exist as a phenomenon of music at all. I intend this article to be satisfying to scientists as an original contribution to science and art, yet I also intend it to be approachable by musicians and other curious members of the general public who may have long wondered at the curious properties of tonal music and been frustrated by the lack of satisfying, readable exposition on the subject. Therefore I have written in a deliberately plain and conversational style, avoiding unnecessarily formal language. Comments: Say more directly that theory of Helmholtz implies harmony would not exist as a phenomenon at all. Elaborate on the mythical &#34;undertones&#34; red herring, saying it arises from the visual metaphor. Replace &#34;sustained&#34; with &#34;suspended&#34; as the term for chord of two interlocked fifths; point out that the metaphor originating the term &#34;suspended&#34; is a red herring. Thank some readers for their feedback Subjects: Sound (cs.SD) ACM classes: I.2.0 Cite as: arXiv:1202.4212 [cs.SD] (or arXiv:1202.4212v2 [cs.SD] for this version) https://doi.org/10.48550/arXiv.1202.4212 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Daniel Wilkerson [ view email ] [v1] Mon, 20 Feb 2012 03:16:20 UTC (1,065 KB) [v2] Mon, 9 Jun 2014 21:22:18 UTC (1,067 KB) Full-text links: Access Paper: View a PDF of the paper titled Harmony Explained: Progress Towards A Scientific Theory of Music, by Daniel Shawcross Wilkerson HTML HTML Source view license Current browse context: cs.SD < prev | next > new | recent | 2012-02 Change to browse by: cs References & Citations NASA ADS Google Scholar Semantic Scholar DBLP - CS Bibliography listing | bibtex Daniel Shawcross Wilkerson export BibTeX citation Loading... BibTeX formatted citation &times; loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? )