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Part I explains the sensation of sound in general, vibrations, sympathetic resonances, and other phenomena. Part I cover combinational tones and beats, and develops Helmholtz's famous theory explaining why harmonious chords are in the ratios of small whole numbers (a problem unsolved since Pythagoras).\u003cbr\u003ePart I contains the author's theory on the aesthetic relationship of musical tones. 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Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.\u003c\/p\u003e\u003cp\u003eScholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51085187055889,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51085190758673,"sku":"NIN9781018770222","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1018770224.jpg?v=1750789957"},{"product_id":"vortrage-und-reden-volume-2-book-hermann-ludwig-ferdinand-von-h-9781021621634","title":"Vortrage Und Reden; Volume 2","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51148797542673,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51148801114385,"sku":"NIN9781021621634","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1021621633.jpg?v=1750751290"},{"product_id":"vortrage-und-reden-volume-2-book-hermann-ludwig-ferdinand-von-h-9781144585455","title":"Vortrage Und Reden, Volume 2","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51293284794641,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51293286203665,"sku":"NIN9781144585455","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1144585457.jpg?v=1751367331"},{"product_id":"on-the-sensations-of-tone-as-a-physiological-basis-for-the-theory-of-music-book-hermann-ludwig-ferdinand-von-h-9781419178931","title":"On The Sensations Of Tone As A Physiological Basis For The Theory Of Music","description":null,"brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51299375415569,"sku":"NIN9781419178931","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1419178938.jpg?v=1750713985"},{"product_id":"vortrage-und-reden-volume-1-book-hermann-ludwig-ferdinand-von-h-9781022510944","title":"Vortrage Und Reden; Volume 1","description":"\u003cp\u003eDieses Buch enth lt eine Sammlung von Vortr gen und Reden des ber hmten deutschen Naturwissenschaftlers Hermann von Helmholtz. Er behandelt darin Themen aus der Physik, der Optik, der Akustik und der Physiologie. Helmholtz gilt als einer der bedeutendsten Wissenschaftler des 19. Jahrhunderts und seine Beitr ge haben die moderne Naturwissenschaft nachhaltig gepr gt.\u003c\/p\u003e\u003cp\u003eThis work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.\u003c\/p\u003e\u003cp\u003eThis work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.\u003c\/p\u003e\u003cp\u003eScholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":52743935721745,"sku":"NIN9781022510944","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781022510944.jpg?v=1763497270"},{"product_id":"populare-wissenschaftliche-vortrage-erstes-heft-book-hermann-ludwig-ferdinand-von-h-9781023806398","title":"Populare Wissenschaftliche Vortrage, Erstes Heft","description":"\u003cp\u003e\u003ci\u003ePopul re Wissenschaftliche Vortr ge, Erstes Heft\u003c\/i\u003e is a collection of essays by Hermann Ludwig Ferdinand Von Helmholtz, a prominent 19th-century German physicist and physiologist. This volume presents scientific topics in an accessible manner for a general audience. 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Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.\u003c\/p\u003e\u003cp\u003eAs a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. 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