{"id":1775,"date":"2026-01-09T01:25:15","date_gmt":"2026-01-09T01:25:15","guid":{"rendered":"https:\/\/legatto.space\/?page_id=1775"},"modified":"2026-04-22T23:44:42","modified_gmt":"2026-04-22T23:44:42","slug":"serie-armonica","status":"publish","type":"page","link":"https:\/\/legatto.space\/en\/serie-armonica\/","title":{"rendered":"Harmonic Series"},"content":{"rendered":"<iframe \n    src=\"https:\/\/legatto.space\/wp-content\/uploads\/APPS\/Harmonic-Series.html\" \n    title=\"Harmonic Series\">\n<\/iframe>\n\t<h1 data-path-to-node=\"2\">User Guide: Harmonic Series Viewer<\/h1>\nThe <b data-path-to-node=\"3\" data-index-in-node=\"3\">Harmonic Series<\/b> Legatto is an interactive tool that allows you to break down the physical phenomenon that occurs when a string vibrates. It is fundamental to understanding why instruments sound the way they do (timbre) and how musical intervals are constructed from nature.\n<h3 data-path-to-node=\"4\">1. What is this tool used for?<\/h3>\nIn nature, a sound is never a single pure frequency, but a combination of many. This tool allows you to:\n<ul data-path-to-node=\"6\">\n<li>\n<b data-path-to-node=\"6,0,0\" data-index-in-node=\"0\">Visualizing the vibration of a string:<\/b> See how a string is physically divided to produce different harmonics.\n<\/li>\n<li>\n<b data-path-to-node=\"6,1,0\" data-index-in-node=\"0\">Understanding the Timbre:<\/b> See how the sum of different harmonics creates complex waves.\n<\/li>\n<li>\n<b data-path-to-node=\"6,2,0\" data-index-in-node=\"0\">Studying Proportions:<\/b> Understanding the mathematical relationship between the fundamental frequency and its harmonics (2x, 3x, 4x, etc.).\n<\/li>\n<\/ul>\n<hr data-path-to-node=\"7\" \/>\n<h3 data-path-to-node=\"8\">2. How to use the application (Step by step)<\/h3>\nThe tool features a simulation of vibrating strings with dynamic controls.\n<h4 data-path-to-node=\"10\"><b data-path-to-node=\"10\" data-index-in-node=\"0\">Step 1: Configure the String (String Settings)<\/b><\/h4>\nIn the top panel, you can select the rope you want to work on. By default, you&#039;ll see the <b data-path-to-node=\"11\" data-index-in-node=\"104\">&#8220;String 1&#8221;<\/b>You can interact with the following controls:\n<ul data-path-to-node=\"12\">\n<li>\n<b data-path-to-node=\"12,0,0\" data-index-in-node=\"0\">Harmonic (Numeric selector):<\/b> Change the number of the harmonic you want to visualize.\n<ul data-path-to-node=\"12,0,1\">\n<li>\n<i data-path-to-node=\"12,0,1,0,0\" data-index-in-node=\"0\">Harmonic 1:<\/i> It is the fundamental frequency (the string vibrates completely).\n<\/li>\n<li>\n<i data-path-to-node=\"12,0,1,1,0\" data-index-in-node=\"0\">Harmonic 2:<\/i> The string splits in two (one octave higher).\n<\/li>\n<li>\n<i data-path-to-node=\"12,0,1,2,0\" data-index-in-node=\"0\">Harmonic 3:<\/i> The string is divided into three (a perfect fifth above the octave), and so on.\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h4 data-path-to-node=\"13\"><b data-path-to-node=\"13\" data-index-in-node=\"0\">Step 2: Observe the 3D Vibration<\/b><\/h4>\nIn the center of the screen you will see the rope in motion.\n<ul data-path-to-node=\"15\">\n<li>\n<b data-path-to-node=\"15,0,0\" data-index-in-node=\"0\">Nodes and Antinodes:<\/b> Observe the points where the string does not move (nodes) and where the amplitude is maximum.\n<\/li>\n<li>\n<b data-path-to-node=\"15,1,0\" data-index-in-node=\"0\">Interaction:<\/b> As with Legatto&#039;s other tools, you can rotate and zoom in the 3D view to analyze the vibration pattern from any angle.\n<\/li>\n<\/ul>\n<h4 data-path-to-node=\"16\"><b data-path-to-node=\"16\" data-index-in-node=\"0\">Step 3: The 2D Oscilloscope<\/b><\/h4>\nBelow the 3D visualization, you will find a real-time oscilloscope.\n<ul data-path-to-node=\"18\">\n<li>\nThis graph shows the <b data-path-to-node=\"18,0,0\" data-index-in-node=\"24\">waveform<\/b> resulting from the vibration.\n<\/li>\n<li>\nAs you go up the harmonic series, you will notice how the wave becomes faster and more complex, reflecting the change in pitch and brightness of the sound.\n<\/li>\n<\/ul>\n<h4 data-path-to-node=\"19\"><b data-path-to-node=\"19\" data-index-in-node=\"0\">Step 4: MIDI Connection (Hardware)<\/b><\/h4>\nLike Scale Studio, this tool is compatible with <b data-path-to-node=\"20\" data-index-in-node=\"62\">USB MIDI controllers<\/b>:\n<ul data-path-to-node=\"21\">\n<li>\nConnect your keyboard and press a note.\n<\/li>\n<li>\nLa herramienta reaccionar\u00e1 a tu interpretaci\u00f3n, permiti\u00e9ndote &#8220;tocar&#8221; la serie arm\u00f3nica y ver c\u00f3mo la geometr\u00eda de la cuerda cambia seg\u00fan la nota y el arm\u00f3nico seleccionado.\n<\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>Gu\u00eda del Usuario: Visualizador de la Serie Arm\u00f3nica (Harmonic Series) La Serie Arm\u00f3nica de Legatto es una herramienta interactiva que permite desglosar el fen\u00f3meno f\u00edsico que ocurre cuando una cuerda vibra. Es fundamental para entender por qu\u00e9 los instrumentos suenan como suenan (el timbre) y c\u00f3mo se construyen los intervalos musicales a partir de la&hellip;<\/p>","protected":false},"author":1,"featured_media":68,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1775","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Serie Arm\u00f3nica - Legatto<\/title>\n<meta name=\"description\" content=\"Visualizador 3D de la Serie Arm\u00f3nica musical. 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