{"id":43557,"date":"2025-05-07T11:29:24","date_gmt":"2025-05-07T11:29:24","guid":{"rendered":"https:\/\/idea.membrane.com\/songwriter\/?p=43557"},"modified":"2025-05-07T11:29:24","modified_gmt":"2025-05-07T11:29:24","slug":"sines","status":"publish","type":"post","link":"https:\/\/kingarthur.com\/songwriter\/2025\/05\/07\/sines\/","title":{"rendered":"Sines"},"content":{"rendered":"<p><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/XIII\/Sines.mp3\">Sines.mp3<\/a><br \/>\n<a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/XIII\/Sines.mp4\">Sines.mp4<\/a><br \/>\n<a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/XIII\/Sines-Best-Of.mp3\">Sines-Best-Of.mp3<\/a><br \/>\n<a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/XIII\/Sines-Best-Of.mp4\">Sines-Best-Of.mp4<\/a><br \/>\n<a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/XIII\/Sines-intro.mp3\">Sines-intro.mp3<\/a><\/p>\n<p>[Intro]<br \/>\nHave you seen the sines<br \/>\n(Of the times)<\/p>\n<p>[Verse 1]<br \/>\nJust look around<br \/>\nSigns abound<br \/>\nThey can be found<br \/>\nAll around<\/p>\n<p>[Bridge]<br \/>\nHave you seen the sines<br \/>\n(Of the times)<br \/>\nThey&#8217;re rollin&#8217;, rollin, in<br \/>\n(The high tides begin)<\/p>\n<p>[Chorus]<br \/>\nFeedback loops<br \/>\nHarmonic response<br \/>\nNo lack of &#8220;oops&#8221;<br \/>\nIn need of renaissance<\/p>\n<p>[Verse 2]<br \/>\nJust look around<br \/>\nSines are inbound<br \/>\nHere&#8217;s another round<br \/>\nEnd of the line bound<\/p>\n<p>[Bridge]<br \/>\nHave you seen the sines<br \/>\n(Of the times)<br \/>\nThey&#8217;re rollin&#8217;, rollin, in<br \/>\n(The high tides begin)<\/p>\n<p>[Chorus]<br \/>\nFeedback loops<br \/>\nHarmonic response<br \/>\nNo lack of &#8220;oops&#8221;<br \/>\nIn need of renaissance<\/p>\n<p>[Outro]<br \/>\nFeedback loops<br \/>\nHarmonic response<br \/>\nNo lack of &#8220;oops&#8221;<br \/>\nIn need of renaissance<\/p>\n<p>A SCIENCE NOTE<\/p>\n<p class=\"\" data-start=\"0\" data-end=\"205\">Sine waves relate to climate change in several important ways, especially in how scientists <strong data-start=\"92\" data-end=\"101\">model<\/strong>, <strong data-start=\"103\" data-end=\"114\">analyze<\/strong>, and <strong data-start=\"120\" data-end=\"131\">predict<\/strong> climate patterns and variability over time. Here are the key connections:<\/p>\n<h3 class=\"\" data-start=\"212\" data-end=\"245\">1. <strong data-start=\"219\" data-end=\"245\">Natural Climate Cycles<\/strong><\/h3>\n<p class=\"\" data-start=\"246\" data-end=\"335\">Many natural climate phenomena follow approximately sinusoidal (sine wave-like) patterns:<\/p>\n<ul data-start=\"337\" data-end=\"993\">\n<li class=\"\" data-start=\"337\" data-end=\"608\">\n<p class=\"\" data-start=\"339\" data-end=\"608\"><strong data-start=\"339\" data-end=\"362\">Milankovitch Cycles<\/strong>: Earth&#8217;s orbital changes (eccentricity, axial tilt, and precession) affect solar energy reaching the planet and follow cycles that resemble sine waves over tens to hundreds of thousands of years. These influence glacial and interglacial periods.<\/p>\n<\/li>\n<li class=\"\" data-start=\"612\" data-end=\"740\">\n<p class=\"\" data-start=\"614\" data-end=\"740\"><strong data-start=\"614\" data-end=\"637\">Seasonal Variations<\/strong>: The annual cycle of temperature and solar radiation at any location on Earth is close to a sine wave.<\/p>\n<\/li>\n<li class=\"\" data-start=\"742\" data-end=\"993\">\n<p class=\"\" data-start=\"744\" data-end=\"993\"><strong data-start=\"744\" data-end=\"777\">Ocean-Atmosphere Oscillations<\/strong>: Phenomena like the El Ni\u00f1o\u2013Southern Oscillation (ENSO), Pacific Decadal Oscillation (PDO), and North Atlantic Oscillation (NAO) show roughly cyclic behaviors over time, often modeled using sine or cosine functions.<\/p>\n<\/li>\n<\/ul>\n<h3 class=\"\" data-start=\"1000\" data-end=\"1045\">2. <strong data-start=\"1007\" data-end=\"1045\">Climate Models &amp; Signal Processing<\/strong><\/h3>\n<p class=\"\" data-start=\"1046\" data-end=\"1106\">Climate scientists use sine waves (and Fourier analysis) to:<\/p>\n<ul data-start=\"1108\" data-end=\"1511\">\n<li class=\"\" data-start=\"1108\" data-end=\"1237\">\n<p class=\"\" data-start=\"1110\" data-end=\"1237\"><strong data-start=\"1110\" data-end=\"1155\">Decompose temperature and CO\u2082 time series<\/strong> into frequencies (e.g., identifying periodic components versus long-term trends).<\/p>\n<\/li>\n<li class=\"\" data-start=\"1241\" data-end=\"1375\">\n<p class=\"\" data-start=\"1243\" data-end=\"1375\"><strong data-start=\"1243\" data-end=\"1275\">Separate natural variability<\/strong> (like seasonal or decadal oscillations) from <strong data-start=\"1321\" data-end=\"1345\">anthropogenic trends<\/strong> (caused by greenhouse gases).<\/p>\n<\/li>\n<li class=\"\" data-start=\"1377\" data-end=\"1511\">\n<p class=\"\" data-start=\"1379\" data-end=\"1511\"><strong data-start=\"1379\" data-end=\"1402\">Improve forecasting<\/strong> by modeling the climate system as a combination of wave-like patterns plus chaotic and trend-based elements.<\/p>\n<\/li>\n<\/ul>\n<h3 class=\"\" data-start=\"1518\" data-end=\"1565\">3. <strong data-start=\"1525\" data-end=\"1565\">Feedback Loops and Harmonic Response<\/strong><\/h3>\n<p class=\"\" data-start=\"1566\" data-end=\"1728\">In systems theory, feedback loops (positive and negative) in climate dynamics can lead to oscillations similar to those seen in damped or forced harmonic systems:<\/p>\n<ul data-start=\"1730\" data-end=\"1949\">\n<li class=\"\" data-start=\"1730\" data-end=\"1949\">\n<p class=\"\" data-start=\"1732\" data-end=\"1949\">Melting ice reduces albedo \u2192 increases warming \u2192 melts more ice. This is a nonlinear feedback, but when modeled locally or over short periods, it can exhibit sine-like fluctuations before spiraling out or stabilizing.<\/p>\n<\/li>\n<\/ul>\n<h3 class=\"\" data-start=\"1956\" data-end=\"2002\">4. <strong data-start=\"1963\" data-end=\"2002\">Detection of Climate Change Signals<\/strong><\/h3>\n<p class=\"\" data-start=\"2003\" data-end=\"2134\">Because the climate system is noisy, scientists often look for <strong data-start=\"2066\" data-end=\"2124\">anomalies that depart from expected sine-like patterns<\/strong>, such as:<\/p>\n<ul data-start=\"2136\" data-end=\"2303\">\n<li class=\"\" data-start=\"2136\" data-end=\"2194\">\n<p class=\"\" data-start=\"2138\" data-end=\"2194\">Long-term warming trends that shift the baseline upward.<\/p>\n<\/li>\n<li class=\"\" data-start=\"2195\" data-end=\"2303\">\n<p class=\"\" data-start=\"2197\" data-end=\"2303\">Increasing amplitude (more extreme highs\/lows) or changing frequency of events like heatwaves or rainfall.<\/p>\n<\/li>\n<\/ul>\n<h3>From the album &#8220;<a href=\"\/songwriter\/tag\/roll\/\">Roll<\/a>&#8220;<\/h3>\n<h2><a href=\"http:\/\/membrane.com\/global_warming\/\">The Human Induced Climate Change Experiment<\/a><\/h2>\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sines.mp3 Sines.mp4 Sines-Best-Of.mp3 Sines-Best-Of.mp4 Sines-intro.mp3 [Intro] Have you seen the sines (Of the times) [Verse 1] Just look around Signs abound They can be found All around [Bridge] Have you seen the sines (Of the times) They&#8217;re rollin&#8217;, rollin, in (The high tides begin) [Chorus] Feedback loops Harmonic response No lack of &#8220;oops&#8221; In need [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","footnotes":""},"categories":[3,9,14],"tags":[163,4126],"class_list":["post-43557","post","type-post","status-publish","format-standard","hentry","category-4d-music","category-daniel","category-lyrics","tag-climate-change","tag-roll"],"_links":{"self":[{"href":"https:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/43557","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/comments?post=43557"}],"version-history":[{"count":6,"href":"https:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/43557\/revisions"}],"predecessor-version":[{"id":43579,"href":"https:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/43557\/revisions\/43579"}],"wp:attachment":[{"href":"https:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/media?parent=43557"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/categories?post=43557"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/tags?post=43557"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}