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Object.assign.bind() : function (target) { for (var i = 1; i < arguments.length; i++) { var source = arguments[i]; for (var key in source) { if (Object.prototype.hasOwnProperty.call(source, key)) { target[key] = source[key]; } } } return target; }; return _extends.apply(this, arguments); }\nfunction _objectWithoutProperties(source, excluded) { if (source == null) return {}; var target = _objectWithoutPropertiesLoose(source, excluded); var key, i; if (Object.getOwnPropertySymbols) { var sourceSymbolKeys = Object.getOwnPropertySymbols(source); for (i = 0; i < sourceSymbolKeys.length; i++) { key = sourceSymbolKeys[i]; if (excluded.indexOf(key) >= 0) continue; if (!Object.prototype.propertyIsEnumerable.call(source, key)) continue; target[key] = source[key]; } } return target; }\nfunction _objectWithoutPropertiesLoose(source, excluded) { if (source == null) return {}; var target = {}; var sourceKeys = Object.keys(source); var key, i; for (i = 0; i < sourceKeys.length; i++) { key = sourceKeys[i]; if (excluded.indexOf(key) >= 0) continue; target[key] = source[key]; } return target; }\n/* @jsxRuntime classic */\n/* @jsx mdx */\n\nvar _frontmatter = {};\nvar layoutProps = {\n  _frontmatter: _frontmatter\n};\nvar MDXLayout = \"wrapper\";\nreturn function MDXContent(_ref) {\n  var components = _ref.components,\n    props = _objectWithoutProperties(_ref, _excluded);\n  return mdx(MDXLayout, _extends({}, layoutProps, props, {\n    components: components,\n    mdxType: \"MDXLayout\"\n  }), mdx(\"p\", null, \"The Melakarta system\\u2019s hierarchical architecture organizes its 72 parent ragas into 12 chakras (groups), each containing six ragas distinguished by specific swara (note) permutations. 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G\\u2083 M\\u2082 P D\\u2082 N\\u2083  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Vishwambari\"), \" (54): S R\\u2081 G\\u2083 M\\u2082 P D\\u2083 N\\u2083  \")))), mdx(\"h4\", null, \"10. \", mdx(\"strong\", {\n    parentName: \"h4\"\n  }, \"Disi Chakra\"), \" (10th Chakra: Symbolizes \\\"Ten Directions\\\")\"), mdx(\"ul\", null, mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Swara Rules\"), \": R2, G2, M2  \"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Ragas\"), \":  \", mdx(\"ol\", {\n    parentName: \"li\"\n  }, mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Syamalangi\"), \" (55): S R\\u2082 G\\u2082 M\\u2082 P D\\u2081 N\\u2081  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Shanmukhapriya\"), \" (56): S R\\u2082 G\\u2082 M\\u2082 P D\\u2081 N\\u2082  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Simhendramadhyamam\"), \" (57): S R\\u2082 G\\u2082 M\\u2082 P D\\u2081 N\\u2083  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Hemavati\"), \" (58): S R\\u2082 G\\u2082 M\\u2082 P D\\u2082 N\\u2082  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Dharmavati\"), \" (59): S R\\u2082 G\\u2082 M\\u2082 P D\\u2082 N\\u2083  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Nitimati\"), \" (60): S R\\u2082 G\\u2082 M\\u2082 P D\\u2083 N\\u2083  \")))), mdx(\"h4\", null, \"11. \", mdx(\"strong\", {\n    parentName: \"h4\"\n  }, \"Rudra Chakra\"), \" (11th Chakra: Symbolizes \\\"Eleven Rudras\\\")\"), mdx(\"ul\", null, mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Swara Rules\"), \": R2, G3, M2  \"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Ragas\"), \":  \", mdx(\"ol\", {\n    parentName: \"li\"\n  }, mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Kantamani\"), \" (61): S R\\u2082 G\\u2083 M\\u2082 P D\\u2081 N\\u2081  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Rishabhapriya\"), \" (62): S R\\u2082 G\\u2083 M\\u2082 P D\\u2081 N\\u2082  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Latangi\"), \" (63): S R\\u2082 G\\u2083 M\\u2082 P D\\u2081 N\\u2083  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Vachaspati\"), \" (64): S R\\u2082 G\\u2083 M\\u2082 P D\\u2082 N\\u2082  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Mechakalyani\"), \" (65): S R\\u2082 G\\u2083 M\\u2082 P D\\u2082 N\\u2083  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Chitrambari\"), \" (66): S R\\u2082 G\\u2083 M\\u2082 P D\\u2083 N\\u2083  \")))), mdx(\"h4\", null, \"12. \", mdx(\"strong\", {\n    parentName: \"h4\"\n  }, \"Aditya Chakra\"), \" (12th Chakra: Symbolizes \\\"Twelve Sun Gods\\\")\"), mdx(\"ul\", null, mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Swara Rules\"), \": R3, G3, M2  \"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Ragas\"), \":  \", mdx(\"ol\", {\n    parentName: \"li\"\n  }, mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Sucharitra\"), \" (67): S R\\u2083 G\\u2083 M\\u2082 P D\\u2081 N\\u2081  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Jyoti Swarupini\"), \" (68): S R\\u2083 G\\u2083 M\\u2082 P D\\u2081 N\\u2082  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Dhatuvardhini\"), \" (69): S R\\u2083 G\\u2083 M\\u2082 P D\\u2081 N\\u2083  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Nasikabhushani\"), \" (70): S R\\u2083 G\\u2083 M\\u2082 P D\\u2082 N\\u2082  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Kosalam\"), \" (71): S R\\u2083 G\\u2083 M\\u2082 P D\\u2082 N\\u2083  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Rasikapriya\"), \" (72): S R\\u2083 G\\u2083 M\\u2082 P D\\u2083 N\\u2083  \")))), mdx(\"hr\", null), mdx(\"h2\", null, \"Functional Analysis of the Hierarchy\"), mdx(\"h3\", null, \"Structural Patterns\"), mdx(\"ol\", null, mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Swara Permutations\"), \": Each chakra incrementally modifies Ri and Ga, while Dha and Ni cycle through three variants (D1/D2/D3 and N1/N2/N3)\", \"[1][2]\", \".  \"), mdx(\"li\", {\n    parentName: \"ol\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Katapayadi Encoding\"), \": Raga numbers (1\\u201372) align with their names via the \", mdx(\"em\", {\n    parentName: \"li\"\n  }, \"Katapayadi sankhya\"), \" system. For example, \", mdx(\"em\", {\n    parentName: \"li\"\n  }, \"Harikambhoji\"), \" (28) derives from \", mdx(\"em\", {\n    parentName: \"li\"\n  }, \"Ha\"), \" (8) + \", mdx(\"em\", {\n    parentName: \"li\"\n  }, \"Ri\"), \" (2) reversed\", \"[1][5]\", \".  \")), mdx(\"h3\", null, \"Pedagogical Significance\"), mdx(\"ul\", null, mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Foundational Training\"), \": Raga \", mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Mayamalavagowla\"), \" (15) is often the first taught due to its symmetrical swara structure\", \"[1][3]\", \".  \"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Compositional Basis\"), \": Composers like \", mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Tyagaraja\"), \" derived \", mdx(\"em\", {\n    parentName: \"li\"\n  }, \"janya ragas\"), \" (e.g., \", mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Mohanam\"), \" from \", mdx(\"strong\", {\n    parentName: \"li\"\n  }, \"Harikambhoji\"), \") by omitting swaras\", \"[6]\", \".  \")), mdx(\"hr\", null), mdx(\"h2\", null, \"Conclusion\"), mdx(\"p\", null, \"The Melakarta hierarchy exemplifies Carnatic music\\u2019s fusion of mathematical precision and artistic expression. By structuring ragas into 12 chakras with fixed swara rules, it provides a systematic foundation for pedagogy, composition, and improvisation. Future studies could explore computational models of this system or comparative analyses with Hindustani \", mdx(\"em\", {\n    parentName: \"p\"\n  }, \"thaats\"), \".\"), mdx(\"p\", null, \"Citations:\\n\", \"[1]\", \" \", mdx(\"a\", {\n    parentName: \"p\",\n    \"href\": \"https://en.wikipedia.org/wiki/Melakarta\"\n  }, \"https://en.wikipedia.org/wiki/Melakarta\"), \"\\n\", \"[2]\", \" \", mdx(\"a\", {\n    parentName: \"p\",\n    \"href\": \"https://sites.google.com/site/kalpsangeethasabha/ragas/72-melakarta-ragas\"\n  }, \"https://sites.google.com/site/kalpsangeethasabha/ragas/72-melakarta-ragas\"), \"\\n\", \"[3]\", \" \", mdx(\"a\", {\n    parentName: \"p\",\n    \"href\": \"https://www.spardhaschoolofmusic.com/blog/72-melakarta-ragas-and-its-structure\"\n  }, \"https://www.spardhaschoolofmusic.com/blog/72-melakarta-ragas-and-its-structure\"), \"\\n\", \"[4]\", \" \", mdx(\"a\", {\n    parentName: \"p\",\n    \"href\": \"https://en.wikipedia.org/wiki/Asampurna_Melakarta\"\n  }, \"https://en.wikipedia.org/wiki/Asampurna_Melakarta\"), \"\\n\", \"[5]\", \" \", mdx(\"a\", {\n    parentName: \"p\",\n    \"href\": \"https://morseatuml.us/wp-content/uploads/2024/02/VK/index/homepage/pdpfiles/Melakartha%20Ragaas%20in%20Carnatic%20Music.pdf\"\n  }, \"https://morseatuml.us/wp-content/uploads/2024/02/VK/index/homepage/pdpfiles/Melakartha%20Ragaas%20in%20Carnatic%20Music.pdf\"), \"\\n\", \"[6]\", \" \", mdx(\"a\", {\n    parentName: \"p\",\n    \"href\": \"https://www.ipassio.com/blog/list-of-ragas-in-carnatic-music\"\n  }, \"https://www.ipassio.com/blog/list-of-ragas-in-carnatic-music\"), \"\\n\", \"[7]\", \" \", mdx(\"a\", {\n    parentName: \"p\",\n    \"href\": \"https://www.hitxp.com/keyboard-music-notes/music-articles/carnatic-melakartha-raga-list/\"\n  }, \"https://www.hitxp.com/keyboard-music-notes/music-articles/carnatic-melakartha-raga-list/\"), \"\\n\", \"[8]\", \" \", mdx(\"a\", {\n    parentName: \"p\",\n    \"href\": \"http://music-raagaa.blogspot.com/p/72-melakartha-raagas_17.html\"\n  }, \"http://music-raagaa.blogspot.com/p/72-melakartha-raagas_17.html\"), \"\\n\", \"[9]\", \" \", mdx(\"a\", {\n    parentName: \"p\",\n    \"href\": \"https://sites.google.com/site/kalpsangeethasabha/ragas/72-melakarta-ragas\"\n  }, \"https://sites.google.com/site/kalpsangeethasabha/ragas/72-melakarta-ragas\"), \"\\n\", \"[10]\", \" \", mdx(\"a\", {\n    parentName: \"p\",\n    \"href\": \"https://sanskritdocuments.org/english/carnatic.pdf\"\n  }, \"https://sanskritdocuments.org/english/carnatic.pdf\")), mdx(\"hr\", null), mdx(\"p\", null, \"Answer from Perplexity: pplx.ai/share\"));\n}\n;\nMDXContent.isMDXComponent = true;","inboundReferences":[]}},"pageContext":{"slug":"Hierarchical-Organization-of-the-72-Melakarta-Ragas-in-Carnatic-Music","node":{"childMdx":{"slug":"Hierarchical-Organization-of-the-72-Melakarta-Ragas-in-Carnatic-Music"}}}},
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