{"id":3741,"date":"2026-03-21T08:08:54","date_gmt":"2026-03-21T08:08:54","guid":{"rendered":"https:\/\/npk1169-001-site1.mtempurl.com\/?p=3741"},"modified":"2026-04-13T07:40:26","modified_gmt":"2026-04-13T07:40:26","slug":"musical-frequency-shruti","status":"publish","type":"post","link":"https:\/\/www.bharatwisdom.com\/hi\/physics-and-chemistry\/musical-frequency-shruti\/","title":{"rendered":"Musical Frequency (Shruti) \u2013 The Mathematics of Melody"},"content":{"rendered":"<div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1279.2px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-1\"><p id=\"p-rc_23f99d3791fb956a-1346\" data-path-to-node=\"65\"><span data-path-to-node=\"65,0\"><b data-path-to-node=\"65,0\" data-index-in-node=\"0\">The Concept<\/b> <\/span><span data-path-to-node=\"65,2\"><span class=\"citation-5705\">Music is math<\/span><\/span><span data-path-to-node=\"65,4\">. <\/span><span data-path-to-node=\"65,6\"><span class=\"citation-5704\">Certain frequencies sound wonderful together (harmony)<\/span><\/span><span data-path-to-node=\"65,8\">. <\/span><span data-path-to-node=\"65,10\"><span class=\"citation-5703\">An octave occurs when the frequency increases by a factor of two<\/span><\/span><span data-path-to-node=\"65,12\">.<\/span><\/p>\n<p id=\"p-rc_23f99d3791fb956a-1347\" data-path-to-node=\"66\"><span data-path-to-node=\"66,0\"><b data-path-to-node=\"66,0\" data-index-in-node=\"0\">The Story<\/b> <\/span><span data-path-to-node=\"66,2\"><span class=\"citation-5702\">In India, music was never just an art; it was an exact science of frequency<\/span><\/span><span data-path-to-node=\"66,4\">. <\/span><span data-path-to-node=\"66,6\"><span class=\"citation-5701\">While the Western world settled on a 12-tone scale, the <\/span><i data-path-to-node=\"66,6\" data-index-in-node=\"56\"><span class=\"citation-5701\">Natya Shastra<\/span><\/i><span class=\"citation-5701\"> divided the octave into 22 microtones called <\/span><i data-path-to-node=\"66,6\" data-index-in-node=\"115\"><span class=\"citation-5701\">Shrutis<\/span><\/i><\/span><span data-path-to-node=\"66,8\">. <\/span><span data-path-to-node=\"66,10\"><span class=\"citation-5700\">They understood the &#8220;harmonic ratio,&#8221; knowing that changing the length of a string or the air in a flute changed the pitch mathematically<\/span><\/span><span data-path-to-node=\"66,12\">. <\/span><span data-path-to-node=\"66,14\"><span class=\"citation-5699\">They even designed instruments like the Sitar with &#8220;sympathetic&#8221; strings that vibrate on their own, increasing the resonance<\/span><\/span><span data-path-to-node=\"66,16\">. <\/span><span data-path-to-node=\"66,18\"><span class=\"citation-5698\">This deep understanding of sound physics is the ancestor of the radio waves and Wi-Fi signals that carry our voices across the world today<\/span><\/span><span data-path-to-node=\"66,20\">.<\/span><\/p>\n<p data-path-to-node=\"67\"><b data-path-to-node=\"67\" data-index-in-node=\"0\">The Timeline<\/b><\/p>\n<table data-path-to-node=\"68\">\n<thead>\n<tr>\n<td><strong>Milestone<\/strong><\/td>\n<td><strong>Details<\/strong><\/td>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><span data-path-to-node=\"68,1,0,0\"><b data-path-to-node=\"68,1,0,0\" data-index-in-node=\"0\">Western Ref.<\/b><\/span><\/td>\n<td>\n<p data-path-to-node=\"68,1,1,0\"><span data-path-to-node=\"68,1,1,0,1\"><span class=\"citation-5697\">500 BCE (Pythagoras) <\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"68,2,0,0\"><b data-path-to-node=\"68,2,0,0\" data-index-in-node=\"0\">Indian Source<\/b><\/span><\/td>\n<td>\n<p data-path-to-node=\"68,2,1,0\"><span data-path-to-node=\"68,2,1,0,1\"><span class=\"citation-5696\">Prior to 10,000 BCE (Sama Veda) <\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"68,3,0,0\"><b data-path-to-node=\"68,3,0,0\" data-index-in-node=\"0\">Chron. Gap<\/b><\/span><\/td>\n<td>\n<p data-path-to-node=\"68,3,1,0\"><span data-path-to-node=\"68,3,1,0,1\"><span class=\"citation-5695\">Over 9,000 Years <\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p data-path-to-node=\"69\"><b data-path-to-node=\"69\" data-index-in-node=\"0\">The Original Text<\/b><\/p>\n<blockquote data-path-to-node=\"70\">\n<p id=\"p-rc_23f99d3791fb956a-1348\" data-path-to-node=\"70,0\"><span data-path-to-node=\"70,0,0\"><b data-path-to-node=\"70,0,0\" data-index-in-node=\"0\">Sanskrit Shloka:<\/b> \u0926\u094d\u0935\u093e\u0935\u093f\u0902\u0936\u0924\u093f\u0903 \u0936\u094d\u0930\u0941\u0924\u092f\u0903 \u0964 \u0924\u0924\u094d\u0930 \u0938\u094d\u0935\u0930\u093e\u0903 \u0964 <\/span><span data-path-to-node=\"70,0,2\"><span class=\"citation-5694\">\u0924\u0926\u094d\u092f\u0925\u093e \u0937\u0921\u094d\u091c\u0903 \u090b\u0937\u092d\u0903 \u0917\u093e\u0928\u094d\u0927\u093e\u0930\u094b \u092e\u0927\u094d\u092f\u092e\u0903 \u092a\u091e\u094d\u091a\u092e\u094b \u0927\u0948\u0935\u0924\u0903 \u0928\u093f\u0937\u093e\u0926\u0936\u094d\u091a\u0947\u0924\u093f \u0965 <\/span><\/span><\/p>\n<p data-path-to-node=\"70,0\"><span data-path-to-node=\"70,0,4\"> <b data-path-to-node=\"70,0,4\" data-index-in-node=\"1\">Transliteration:<\/b> Dv\u0101vi\u1e43\u015bati\u1e25 \u015brutaya\u1e25 | Tatra svar\u0101\u1e25 | Tadyath\u0101 \u1e63a\u1e0dja\u1e25 \u1e5b\u1e63abha\u1e25 g\u0101ndh\u0101ro madhyama\u1e25 pa\u00f1camo dhaivata\u1e25 ni\u1e63\u0101da\u015bceti || <\/span><span data-path-to-node=\"70,0,6\"><span class=\"citation-5693\">Natya Shastra (Chapter 28) (Discusses the 22 Shrutis and their intervals) <\/span><\/span><span data-path-to-node=\"70,0,8\">. <\/span><\/p>\n<p data-path-to-node=\"70,0\"><span data-path-to-node=\"70,0,10\"><b data-path-to-node=\"70,0,10\" data-index-in-node=\"0\"><span class=\"citation-5692\">Meaning:<\/span><\/b><span class=\"citation-5692\"> &#8220;There are twenty-two Shrutis. From them come the seven notes: Shadja, Rishabha, Gandhara, Madhyama, Panchama, Dhaivata, and Nishada.&#8221; <\/span><\/span><\/p>\n<div class=\"source-inline-chip-container ng-star-inserted\"><\/div>\n<\/blockquote>\n<p id=\"p-rc_23f99d3791fb956a-1349\" data-path-to-node=\"71\"><span data-path-to-node=\"71,0\"><b data-path-to-node=\"71,0\" data-index-in-node=\"0\">Related Innovations<\/b> <\/span><span data-path-to-node=\"71,2\"><span class=\"citation-5691\">The <\/span><i data-path-to-node=\"71,2\" data-index-in-node=\"4\"><span class=\"citation-5691\">Natya Shastra<\/span><\/i><span class=\"citation-5691\"> (about 500 BCE) used an exact 3:2 harmonic ratio to calculate the Samvada (consonance) of notes such as Sa and Pa<\/span><\/span><span data-path-to-node=\"71,4\">. <\/span><span data-path-to-node=\"71,6\"><span class=\"citation-5690\">Later, luthiers harnessed this science to create the Sitar by adding Tarab (sympathetic) strings that vibrate passively, increasing the instrument&#8217;s resonance range<\/span><\/span><span data-path-to-node=\"71,8\">.<\/span><\/p>\n<p id=\"p-rc_23f99d3791fb956a-1350\" data-path-to-node=\"72\"><span data-path-to-node=\"72,0\"><b data-path-to-node=\"72,0\" data-index-in-node=\"0\">Fun Fact<\/b> <\/span><span data-path-to-node=\"72,2\"><span class=\"citation-5689\">The Indian scale Sa-Re-Ga-Ma is thousands of years older than the Western Do-Re-Mi, yet it functions in the same way with major intervals<\/span><\/span><span data-path-to-node=\"72,4\">.<\/span><\/p>\n<p id=\"p-rc_23f99d3791fb956a-1351\" data-path-to-node=\"73\"><span data-path-to-node=\"73,0\"><b data-path-to-node=\"73,0\" data-index-in-node=\"0\">The Modern Legacy<\/b> <\/span><span data-path-to-node=\"73,2\"><span class=\"citation-5688\">The science of frequency is what enables radio, Wi-Fi, and audio engineering<\/span><\/span><span data-path-to-node=\"73,4\">.<\/span><\/p>\n<\/div><\/div><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":3552,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[76],"tags":[212,228,224,226,227,225],"class_list":["post-3741","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-physics-and-chemistry","tag-acoustics","tag-frequency","tag-music","tag-natya-shastra","tag-sama-veda","tag-shruti"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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