{"id":1288,"date":"2017-01-27T20:21:03","date_gmt":"2017-01-27T20:21:03","guid":{"rendered":"http:\/\/www.inspektorgadjet.com\/?p=1288"},"modified":"2022-06-11T12:03:41","modified_gmt":"2022-06-11T12:03:41","slug":"the-harmonograph-v1","status":"publish","type":"post","link":"https:\/\/www.inspektorgadjet.com\/es\/armonografo-introduccion\/","title":{"rendered":"Introduccion al Armonografo"},"content":{"rendered":"<p><\/p>\n<div id=\"watch-uploader-info\">\n<h3 style=\"text-align: left;\"><strong><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-1297\" src=\"https:\/\/i0.wp.com\/www.inspektorgadjet.com\/wp-content\/uploads\/2017\/01\/what-is-a-harmonograph.jpg?resize=300%2C381\" alt=\"\" width=\"300\" height=\"381\" srcset=\"https:\/\/i0.wp.com\/www.inspektorgadjet.com\/wp-content\/uploads\/2017\/01\/what-is-a-harmonograph.jpg?w=300&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.inspektorgadjet.com\/wp-content\/uploads\/2017\/01\/what-is-a-harmonograph.jpg?resize=236%2C300&amp;ssl=1 236w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/strong><\/h3>\n<h3 style=\"text-align: left;\">Definicion de wikipedia:<\/h3>\n<p>Un <b>armon\u00f3grafo<\/b> es un aparato mec\u00e1nico que utiliza p\u00e9ndulos para crear una imagen geom\u00e9trica.<\/p>\n<p>Los dibujos creados son las <a title=\"Curva de Lissajous\" href=\"https:\/\/es.wikipedia.org\/wiki\/Curva_de_Lissajous\">Curvas de Lissajous<\/a>, figuras que fueron investigadas por <a title=\"Nathaniel Bowditch\" href=\"https:\/\/es.wikipedia.org\/wiki\/Nathaniel_Bowditch\">Nathaniel Bowditch<\/a> en 1815 y despu\u00e9s, con mayor detalle, por el matem\u00e1tico franc\u00e9s <a title=\"Jules Antoine Lissajous\" href=\"https:\/\/es.wikipedia.org\/wiki\/Jules_Antoine_Lissajous\">Jules Antoine Lissajous<\/a> al intentar hacer visible el movimiento vibratorio provocado por el sonido.<\/p>\n<p>En el experimento original, Lissajous cre\u00f3 un dispositivo formado por dos diapasones de distintas frecuencias de vibraci\u00f3n y coloc\u00f3 un espejo peque\u00f1o sobre cada diapas\u00f3n. Luego coloc\u00f3 el conjunto de forma que un rayo de luz se reflejase, sucesivamente, en ambos espejos antes de proyectarse sobre una pantalla. La imagen que aparece en la pantalla (con apariencia de continuidad, dada su persistencia en la retina del espectador) es la figura. Este aparato fue sin duda alguna el antecesor de los armon\u00f3grafos.<\/p>\n<p>Los armon\u00f3grafos, comenzaron a aparecer a mediados de siglo XIX y alcanzaron su punto m\u00e1ximo de popularidad en la d\u00e9cada de 1890. Si bien su invenci\u00f3n no puede ser atribuida a una sola persona, se adjudica a <a class=\"new\" title=\"Hugh Blackburn (a\u00fan no redactado)\" href=\"https:\/\/es.wikipedia.org\/w\/index.php?title=Hugh_Blackburn&amp;action=edit&amp;redlink=1\">Hugh Blackburn<\/a>, profesor de matem\u00e1ticas en la Universidad de Glasgow, su invenci\u00f3n oficial.<\/p>\n<p>Un armon\u00f3grafo lateral sencillo, utiliza dos p\u00e9ndulos para controlar el movimiento de una pluma en relaci\u00f3n con una superficie plana donde dibuja. Un p\u00e9ndulo mueve la pluma de un lado a otro a lo largo de un eje y el otro p\u00e9ndulo mueve la superficie de dibujo de ida y vuelta a lo largo de un eje perpendicular a la pluma. Al variar la frecuencia y la fase de los p\u00e9ndulos, se crean diferentes patrones. Incluso un armon\u00f3grafo simple como se describe puede crear elipses , espirales , ochos y otras figuras de Lissajous. Los armon\u00f3grafos m\u00e1s complejos, pueden incorporar tres o m\u00e1s p\u00e9ndulos unidos entre s\u00ed y dibujar figuras m\u00e1s complejas<strong>.<\/strong><\/p>\n<\/div>\n<p><\/p>","protected":false},"excerpt":{"rendered":"<p>Definicion de wikipedia: Un armon\u00f3grafo es un aparato mec\u00e1nico que utiliza p\u00e9ndulos para crear una imagen geom\u00e9trica. Los dibujos creados [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1326,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"pmpro_default_level":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[493],"tags":[506,497,509,503,28,498,368,504,494,499,367,426,508,511,29,495,469,501,502,510,411,496,513,512,500,507,505],"class_list":["post-1288","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-harmonograph","tag-audiovisual","tag-beautiful","tag-calvo","tag-chords","tag-diy","tag-drawing","tag-gadjet","tag-harmonics","tag-harmonograph","tag-harmony","tag-inspektor","tag-inspektorgadjet","tag-julian","tag-lissajous","tag-maledictis","tag-maths","tag-music","tag-notes","tag-octave","tag-orquin","tag-painting","tag-pattern","tag-pendulum","tag-relaxing","tag-tones","tag-visual","tag-woodwork","pmpro-has-access"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Introduccion al Armonografo - Inspektor Gadjet<\/title>\n<meta name=\"description\" content=\"This is an article and Introduction to the Harmonograph I have built.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.inspektorgadjet.com\/?p=1288\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"inspektorgadjet\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tiempo de lectura\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/?p=1288#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/?p=1288\"},\"author\":{\"name\":\"inspektorgadjet\",\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/#\\\/schema\\\/person\\\/5e7d31057d79278e89b0f34c2a394e8e\"},\"headline\":\"Introduccion al Armonografo\",\"datePublished\":\"2017-01-27T20:21:03+00:00\",\"dateModified\":\"2022-06-11T12:03:41+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/?p=1288\"},\"wordCount\":530,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/#\\\/schema\\\/person\\\/5e7d31057d79278e89b0f34c2a394e8e\"},\"image\":{\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/?p=1288#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/www.inspektorgadjet.com\\\/wp-content\\\/uploads\\\/2017\\\/01\\\/Inspektorgadjet_harmonograph_DIY_V1_drawings-13.jpg\",\"keywords\":[\"audiovisual\",\"beautiful\",\"calvo\",\"chords\",\"DIY\",\"drawing\",\"gadjet\",\"harmonics\",\"harmonograph\",\"harmony\",\"inspektor\",\"inspektorgadjet\",\"julian\",\"lissajous\",\"Maledictis\",\"maths\",\"music\",\"notes\",\"octave\",\"orquin\",\"painting\",\"pattern\",\"pendulum\",\"relaxing\",\"tones\",\"visual\",\"woodwork\"],\"articleSection\":[\"Armonografo\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/www.inspektorgadjet.com\\\/?p=1288#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/?p=1288\",\"url\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/?p=1288\",\"name\":\"[:es]Introduccion al Armonografo[:en]Introduction to the Harmonograph[:] - Inspektor Gadjet\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/?p=1288#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/?p=1288#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/www.inspektorgadjet.com\\\/wp-content\\\/uploads\\\/2017\\\/01\\\/Inspektorgadjet_harmonograph_DIY_V1_drawings-13.jpg\",\"datePublished\":\"2017-01-27T20:21:03+00:00\",\"dateModified\":\"2022-06-11T12:03:41+00:00\",\"description\":\"This is an article and Introduction to the Harmonograph I have built.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/?p=1288#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.inspektorgadjet.com\\\/?p=1288\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/?p=1288#primaryimage\",\"url\":\"http:\\\/\\\/www.inspektorgadjet.com\\\/wp-content\\\/uploads\\\/2017\\\/01\\\/Inspektorgadjet_harmonograph_DIY_V1_drawings-13.jpg\",\"contentUrl\":\"http:\\\/\\\/www.inspektorgadjet.com\\\/wp-content\\\/uploads\\\/2017\\\/01\\\/Inspektorgadjet_harmonograph_DIY_V1_drawings-13.jpg\",\"width\":810,\"height\":589},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/?p=1288#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Harmonograph\",\"item\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/categories\\\/harmonograph\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"[:es]Introduccion al Armonografo[:en]Introduction to the Harmonograph[:]\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/#website\",\"url\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/\",\"name\":\"Inspektor Gadjet\",\"description\":\"THINK - LEARN - MAKE - SHARE\",\"publisher\":{\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/#\\\/schema\\\/person\\\/5e7d31057d79278e89b0f34c2a394e8e\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"es\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/#\\\/schema\\\/person\\\/5e7d31057d79278e89b0f34c2a394e8e\",\"name\":\"inspektorgadjet\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/wp-content\\\/uploads\\\/2022\\\/06\\\/INSPEKTOR-GADJET-TORSA-scaled.jpg\",\"url\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/wp-content\\\/uploads\\\/2022\\\/06\\\/INSPEKTOR-GADJET-TORSA-scaled.jpg\",\"contentUrl\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/wp-content\\\/uploads\\\/2022\\\/06\\\/INSPEKTOR-GADJET-TORSA-scaled.jpg\",\"width\":2560,\"height\":1644,\"caption\":\"inspektorgadjet\"},\"logo\":{\"@id\":\"https:\\\/\\\/www.inspektorgadjet.com\\\/wp-content\\\/uploads\\\/2022\\\/06\\\/INSPEKTOR-GADJET-TORSA-scaled.jpg\"},\"description\":\"Born in Spain. Living in planet earth. Making stuff. Learning and sharing. Music spreading.\",\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/inspektor.gadjet.multiman\\\/\",\"https:\\\/\\\/www.instagram.com\\\/inspektorgadjet_official\\\/\",\"https:\\\/\\\/www.youtube.com\\\/c\\\/Inspektorgadjet_page\",\"https:\\\/\\\/soundcloud.com\\\/inspektorgadjet\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"[:es]Introduccion al Armonografo[:en]Introduction to the Harmonograph[:] - Inspektor Gadjet","description":"This is an article and Introduction to the Harmonograph I have built.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.inspektorgadjet.com\/?p=1288","twitter_misc":{"Escrito por":"inspektorgadjet","Tiempo de lectura":"3 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.inspektorgadjet.com\/?p=1288#article","isPartOf":{"@id":"https:\/\/www.inspektorgadjet.com\/?p=1288"},"author":{"name":"inspektorgadjet","@id":"https:\/\/www.inspektorgadjet.com\/#\/schema\/person\/5e7d31057d79278e89b0f34c2a394e8e"},"headline":"Introduccion al Armonografo","datePublished":"2017-01-27T20:21:03+00:00","dateModified":"2022-06-11T12:03:41+00:00","mainEntityOfPage":{"@id":"https:\/\/www.inspektorgadjet.com\/?p=1288"},"wordCount":530,"commentCount":0,"publisher":{"@id":"https:\/\/www.inspektorgadjet.com\/#\/schema\/person\/5e7d31057d79278e89b0f34c2a394e8e"},"image":{"@id":"https:\/\/www.inspektorgadjet.com\/?p=1288#primaryimage"},"thumbnailUrl":"http:\/\/www.inspektorgadjet.com\/wp-content\/uploads\/2017\/01\/Inspektorgadjet_harmonograph_DIY_V1_drawings-13.jpg","keywords":["audiovisual","beautiful","calvo","chords","DIY","drawing","gadjet","harmonics","harmonograph","harmony","inspektor","inspektorgadjet","julian","lissajous","Maledictis","maths","music","notes","octave","orquin","painting","pattern","pendulum","relaxing","tones","visual","woodwork"],"articleSection":["Armonografo"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.inspektorgadjet.com\/?p=1288#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.inspektorgadjet.com\/?p=1288","url":"https:\/\/www.inspektorgadjet.com\/?p=1288","name":"[:es]Introduccion al Armonografo[:en]Introduction to the Harmonograph[:] - Inspektor Gadjet","isPartOf":{"@id":"https:\/\/www.inspektorgadjet.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.inspektorgadjet.com\/?p=1288#primaryimage"},"image":{"@id":"https:\/\/www.inspektorgadjet.com\/?p=1288#primaryimage"},"thumbnailUrl":"http:\/\/www.inspektorgadjet.com\/wp-content\/uploads\/2017\/01\/Inspektorgadjet_harmonograph_DIY_V1_drawings-13.jpg","datePublished":"2017-01-27T20:21:03+00:00","dateModified":"2022-06-11T12:03:41+00:00","description":"This is an article and Introduction to the Harmonograph I have built.","breadcrumb":{"@id":"https:\/\/www.inspektorgadjet.com\/?p=1288#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.inspektorgadjet.com\/?p=1288"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"https:\/\/www.inspektorgadjet.com\/?p=1288#primaryimage","url":"http:\/\/www.inspektorgadjet.com\/wp-content\/uploads\/2017\/01\/Inspektorgadjet_harmonograph_DIY_V1_drawings-13.jpg","contentUrl":"http:\/\/www.inspektorgadjet.com\/wp-content\/uploads\/2017\/01\/Inspektorgadjet_harmonograph_DIY_V1_drawings-13.jpg","width":810,"height":589},{"@type":"BreadcrumbList","@id":"https:\/\/www.inspektorgadjet.com\/?p=1288#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.inspektorgadjet.com\/"},{"@type":"ListItem","position":2,"name":"Harmonograph","item":"https:\/\/www.inspektorgadjet.com\/categories\/harmonograph\/"},{"@type":"ListItem","position":3,"name":"[:es]Introduccion al Armonografo[:en]Introduction to the Harmonograph[:]"}]},{"@type":"WebSite","@id":"https:\/\/www.inspektorgadjet.com\/#website","url":"https:\/\/www.inspektorgadjet.com\/","name":"Inspektor Gadjet","description":"THINK - LEARN - MAKE - SHARE","publisher":{"@id":"https:\/\/www.inspektorgadjet.com\/#\/schema\/person\/5e7d31057d79278e89b0f34c2a394e8e"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.inspektorgadjet.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"es"},{"@type":["Person","Organization"],"@id":"https:\/\/www.inspektorgadjet.com\/#\/schema\/person\/5e7d31057d79278e89b0f34c2a394e8e","name":"inspektorgadjet","image":{"@type":"ImageObject","inLanguage":"es","@id":"https:\/\/www.inspektorgadjet.com\/wp-content\/uploads\/2022\/06\/INSPEKTOR-GADJET-TORSA-scaled.jpg","url":"https:\/\/www.inspektorgadjet.com\/wp-content\/uploads\/2022\/06\/INSPEKTOR-GADJET-TORSA-scaled.jpg","contentUrl":"https:\/\/www.inspektorgadjet.com\/wp-content\/uploads\/2022\/06\/INSPEKTOR-GADJET-TORSA-scaled.jpg","width":2560,"height":1644,"caption":"inspektorgadjet"},"logo":{"@id":"https:\/\/www.inspektorgadjet.com\/wp-content\/uploads\/2022\/06\/INSPEKTOR-GADJET-TORSA-scaled.jpg"},"description":"Born in Spain. Living in planet earth. Making stuff. Learning and sharing. Music spreading.","sameAs":["https:\/\/www.facebook.com\/inspektor.gadjet.multiman\/","https:\/\/www.instagram.com\/inspektorgadjet_official\/","https:\/\/www.youtube.com\/c\/Inspektorgadjet_page","https:\/\/soundcloud.com\/inspektorgadjet"]}]}},"jetpack_publicize_connections":[],"jetpack_featured_media_url":"http:\/\/www.inspektorgadjet.com\/wp-content\/uploads\/2017\/01\/Inspektorgadjet_harmonograph_DIY_V1_drawings-13.jpg","jetpack_sharing_enabled":false,"_links":{"self":[{"href":"https:\/\/www.inspektorgadjet.com\/es\/wp-json\/wp\/v2\/posts\/1288","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspektorgadjet.com\/es\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspektorgadjet.com\/es\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspektorgadjet.com\/es\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspektorgadjet.com\/es\/wp-json\/wp\/v2\/comments?post=1288"}],"version-history":[{"count":14,"href":"https:\/\/www.inspektorgadjet.com\/es\/wp-json\/wp\/v2\/posts\/1288\/revisions"}],"predecessor-version":[{"id":4770,"href":"https:\/\/www.inspektorgadjet.com\/es\/wp-json\/wp\/v2\/posts\/1288\/revisions\/4770"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.inspektorgadjet.com\/es\/wp-json\/wp\/v2\/media\/1326"}],"wp:attachment":[{"href":"https:\/\/www.inspektorgadjet.com\/es\/wp-json\/wp\/v2\/media?parent=1288"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspektorgadjet.com\/es\/wp-json\/wp\/v2\/categories?post=1288"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspektorgadjet.com\/es\/wp-json\/wp\/v2\/tags?post=1288"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}