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Mēḷakartā is a collection of fundamental musical scales (ragas) in Carnatic music (South Indian classical music). Mēḷakartā ragas are parent ragas (hence known as janaka ragas) from which other ragas may be generated. A melakarta raga is sometimes referred as mela, karta or sampurna as well, though the latter term is inaccurate, as a sampurna raga need not be a melakarta (take the raga Bhairavi, for example).
In Hindustani music the thaat is equivalent of Melakartā. There are 10 thaats in Hindustani music, though the commonly accepted melakarta scheme has 72 ragas.
Ragas must contain the following characteristics to be considered Melakarta:
The mēḷa system of ragas was first propounded by Raamamaatya in his work Svaramelakalanidhi c. 1550. He is considered the father of mela system of ragas. Later, Venkatamakhin, a gifted musicologist in the 17th century, expounded a new mela system known today as mēḷakarta in his work Chaturdandi Prakaasikaa.^{[3]} He made some bold and controversial claims and defined somewhat arbitrarily 6 svaras from the known 12 semitones, at that time, to arrive at 72 mēḷakarta ragas. The controversial parts relate to double counting of R2 (and similar svaras) and his exclusive selection of madyamas for which there is no specific reasoning (also known as asampurna melas as opposed to sampurna ragas). However, today the 72 mēḷakarta ragas use a standardized pattern, unlike Venkatamakhi's pattern, and have gained a significant following. Govindhacharya is credited with the standardization of rules and known for giving different names for standard ragas that have a different structure but the same swaras as those proposed by Venkatamakhi.^{[3]} The scales in this page are those proposed by Govindaacharya.
Main article: Katapayadi sankhya 
A hundred years after Venkatamakhin's time the Katapayadi sankhya rule came to be applied to the nomenclature of the mēḷakarta ragas. The sankhya associates Sanskrit consonants with digits. The digits corresponding to the first two syllables of the name of a raga, when reversed, give the index of the raga. Thus the scale of a mēḷakarta raga can be easily derived from its name. The Sanskrit rule of “Sankhyānam vāmatò gatihi” means for arriving to digits, you read from right to left.
For example, Harikambhoji raga starts with syllables Ha and ri, which have numbers 8 and 2 associated with them. Reversing them we get 28. Hence Harikambhoji is the 28th Mēḷakarta rāga. See Katapayadi sankhya for more details and examples.
Each mēḷakarta raga has a different scale. This scheme envisages the lower Sa (Keezh Shadja), upper Sa (Mael Shadja) and Pa (Panchama) as fixed swaras, with the Ma (Madhyama) having two variants and the remaining swaras Ri (Rishabha), Ga (Gandhaara), Dha (Dhaivata) and Ni (Nishaada) as having three variants each. This leads to 72 sevennote combinations (scales) referred to as the Mēḷakarta ragas as follows.
There are twelve semitones of the octave S, R1, R2=G1, R3=G2, G3, M1, M2, P, D1, D2=N1, D3=N2, N3 (see swaras in Carnatic music for explanation of these notations). A melakarta raga must necessarily have S and P, one of the M's, one each of the R's and G's, and one each of the D's and N's. Also, R must necessarily precede G and D must precede N (krama sampūrṇa rāga). This gives 2 × 6 × 6 = 72 ragas. Finding mēḷakarta ragas is a mathematical process. By following a simple set of rules we can find the corresponding raga and the scale associated with it.
A raga which has a subset of svarās from a Mēḷakarta raga is said to be a janya (means born or derived from) of that Mēḷakarta raga. Every raga is the janya of a mēḷakarta raga. Janya ragas whose notes are found in more than one mēḷakarta raga are assigned (or associated) parent Melakarta based on subjective notions of similarity. This is obvious for ragas that have less than seven notes. For such ragas it can be associated with a Mēḷakarta which has any of the different swaras in that position. For example, Hindolam has Rishabha and Panchama missing. Hence, it could be considered a janya of Todi (also known as Hanumatodi) which has shuddha rishabha or with Natabhairavi which has a chathushruti rishabha. It is popularly associated with Natabhairavi.
The 72 Mēḷakarta ragas are split into 12 groups called chakrās, each containing 6 ragas. The ragas within the chakra differ only in the dhaivatam and nishadam notes (D and N), as illustrated below. The name of each of the 12 chakras suggest their ordinal number as well.^{[1]}^{[4]}
These 12 chakras were also established by Venkatamakhi.
The 72 Mēḷakartā ragas can be divided into two parts, shuddha madhyama and prati madhyama ragas. When a given shuddha madhyama raga's M1 is replaced by M2, we get the corresponding prati madhyama raga. See Katapayadi sankhya for more information on how to derive the various swaras of a raga from its mēḷakartā number.
See swaras in Carnatic music for explanation of the notations like R1, G2, N2, and so forth.
'Mēḷakartā Rāgas'  

Shuddha Madhyama  Prati Madhyama  
No.  Raga  Scale  No.  Raga  Scale 
1. Indu Chakra  7. Rishi Chakra  
1  Kanakāngi  S R₁ G₁ M₁ P D₁ N₁ Ṡ  37  Sālagam  S R₁ G₁ M₂ P D₁ N₁ Ṡ 
2  Ratnāngi  S R₁ G₁ M₁ P D₁ N₂ Ṡ  38  Jalārnavam  S R₁ G₁ M₂ P D₁ N₂ Ṡ 
3  Gānamūrti  S R₁ G₁ M₁ P D₁ N₃ Ṡ  39  Jhālavarāḷi  S R₁ G₁ M₂ P D₁ N₃ Ṡ 
4  Vanaspati  S R₁ G₁ M₁ P D₂ N₂ Ṡ  40  Navanītam  S R₁ G₁ M₂ P D₂ N₂ Ṡ 
5  Mānavati  S R₁ G₁ M₁ P D₂ N₃ Ṡ  41  Pāvani  S R₁ G₁ M₂ P D₂ N₃ Ṡ 
6  Tānarūpi  S R₁ G₁ M₁ P D₃ N₃ Ṡ  42  Raghupriyā  S R₁ G₁ M₂ P D₃ N₃ Ṡ 
2. Netra Chakra  8. Vasu Chakra  
7  Senāvati  S R₁ G₂ M₁ P D₁ N₁ Ṡ  43  Gavāmbhodi  S R₁ G₂ M₂ P D₁ N₁ Ṡ 
8  Hanumatodi  S R₁ G₂ M₁ P D₁ N₂ Ṡ  44  Bhavapriyā  S R₁ G₂ M₂ P D₁ N₂ Ṡ 
9  Dhenukā  S R₁ G₂ M₁ P D₁ N₃ Ṡ  45  Śubhapantuvarāḷi  S R₁ G₂ M₂ P D₁ N₃ Ṡ 
10  Nātakapriyā  S R₁ G₂ M₁ P D₂ N₂ Ṡ  46  Śadvidamārgini  S R₁ G₂ M₂ P D₂ N₂ Ṡ 
11  Kokilapriyā  S R₁ G₂ M₁ P D₂ N₃ Ṡ  47  Suvarnāngi  S R₁ G₂ M₂ P D₂ N₃ Ṡ 
12  Rūpavati  S R₁ G₂ M₁ P D₃ N₃ Ṡ  48  Divyamaṇi  S R₁ G₂ M₂ P D₃ N₃ Ṡ 
3. Agni Chakra  9. Brahma Chakra  
13  Gāyakapriyā  S R₁ G₃ M₁ P D₁ N₁ Ṡ  49  Dhavaḻāmbari  S R₁ G₃ M₂ P D₁ N₁ Ṡ 
14  Vakuḷābharaṇam  S R₁ G₃ M₁ P D₁ N₂ Ṡ  50  Nāmanārāyaṇi  S R₁ G₃ M₂ P D₁ N₂ Ṡ 
15  Māyāmāḻavagowla  S R₁ G₃ M₁ P D₁ N₃ Ṡ  51  Kāmavardhini  S R₁ G₃ M₂ P D₁ N₃ Ṡ 
16  Chakravākam  S R₁ G₃ M₁ P D₂ N₂ Ṡ  52  Rāmapriyā  S R₁ G₃ M₂ P D₂ N₂ Ṡ 
17  Sūryakāntam  S R₁ G₃ M₁ P D₂ N₃ Ṡ  53  Gamanāśrama  S R₁ G₃ M₂ P D₂ N₃ Ṡ 
18  Hātakāmbari  S R₁ G₃ M₁ P D₃ N₃ Ṡ  54  Viśvambari  S R₁ G₃ M₂ P D₃ N₃ Ṡ 
4. Veda Chakra  10. Disi Chakra  
19  Jhankāradhvani  S R₂ G₂ M₁ P D₁ N₁ Ṡ  55  Śāmaḻāngi  S R₂ G₂ M₂ P D₁ N₁ Ṡ 
20  Naṭabhairavi  S R₂ G₂ M₁ P D₁ N₂ Ṡ  56  Śanmukhapriyā  S R₂ G₂ M₂ P D₁ N₂ Ṡ 
21  Kīravāṇi  S R₂ G₂ M₁ P D₁ N₃ Ṡ  57  Simhendramadhyamam  S R₂ G₂ M₂ P D₁ N₃ Ṡ 
22  Kharaharapriyā  S R₂ G₂ M₁ P D₂ N₂ Ṡ  58  Hemavati  S R₂ G₂ M₂ P D₂ N₂ Ṡ 
23  Gourimanohari  S R₂ G₂ M₁ P D₂ N₃ Ṡ  59  Dharmavati  S R₂ G₂ M₂ P D₂ N₃ Ṡ 
24  Varuṇapriyā  S R₂ G₂ M₁ P D₃ N₃ Ṡ  60  Nītimati  S R₂ G₂ M₂ P D₃ N₃ Ṡ 
5. Bana Chakra  11. Rudra Chakra  
25  Māraranjani  S R₂ G₃ M₁ P D₁ N₁ Ṡ  61  Kāntāmaṇi  S R₂ G₃ M₂ P D₁ N₁ Ṡ 
26  Chārukesi  S R₂ G₃ M₁ P D₁ N₂ Ṡ  62  Riśabhapriyā  S R₂ G₃ M₂ P D₁ N₂ Ṡ 
27  Sarasāngi  S R₂ G₃ M₁ P D₁ N₃ Ṡ  63  Latāngi  S R₂ G₃ M₂ P D₁ N₃ Ṡ 
28  Harikāmbhōji  S R₂ G₃ M₁ P D₂ N₂ Ṡ  64  Vāchaspati  S R₂ G₃ M₂ P D₂ N₂ Ṡ 
29  Dhīraśankarābharaṇam  S R₂ G₃ M₁ P D₂ N₃ Ṡ  65  Mechakalyāni  S R₂ G₃ M₂ P D₂ N₃ Ṡ 
30  Nāganandini  S R₂ G₃ M₁ P D₃ N₃ Ṡ  66  Chitrāmbari  S R₂ G₃ M₂ P D₃ N₃ Ṡ 
6. Rutu Chakra  12. Aditya Chakra  
31  Yāgapriyā  S R₃ G₃ M₁ P D₁ N₁ Ṡ  67  Sucharitrā  S R₃ G₃ M₂ P D₁ N₁ Ṡ 
32  Rāgavardhini  S R₃ G₃ M₁ P D₁ N₂ Ṡ  68  Jyoti svarupini  S R₃ G₃ M₂ P D₁ N₂ Ṡ 
33  Gāngeyabhuśani  S R₃ G₃ M₁ P D₁ N₃ Ṡ  69  Dhāthuvardhani  S R₃ G₃ M₂ P D₁ N₃ Ṡ 
34  Vāgadhīśvari  S R₃ G₃ M₁ P D₂ N₂ Ṡ  70  Nāsikābhūśaṇi  S R₃ G₃ M₂ P D₂ N₂ Ṡ 
35  Śūlini  S R₃ G₃ M₁ P D₂ N₃ Ṡ  71  Kōsalam  S R₃ G₃ M₂ P D₂ N₃ Ṡ 
36  Chalanāṭa  S R₃ G₃ M₁ P D₃ N₃ Ṡ  72  Rasikapriyā  S R₃ G₃ M₂ P D₃ N₃ Ṡ 
Main article: Melakarta (asampurna scheme) 
Muthuswami Dikshitar school followed a different set of scales as the 72 Mēḷakarta ragas.^{[5]} These were taught by Venkatamakhin.^{[3]} Many of the scales were asampurna (not sampurna ragas) because Dikshitar chose to follow the earlier established structure to mitigate illeffects of usage of direct vivadi swaras in the scales.^{[3]}