Showing posts with label Ragam. Show all posts
Showing posts with label Ragam. Show all posts

Sunday, August 12, 2007

Ragas: Complete Overview

Ragas and its features

Ragam is a huge part of Carnatic music which means a particular combination of notes (or svaras) which are pleasant to listen to. Thus different combinations of svaras make different ragas of which each has a unique identity. One of the aims of learning Carnatic Music is to achieve Raga Gnanam. This is the ability to sing or play many different ragas and to be able to distinguish one raga from another.
Ragas are sometimes defined as melody types. The raga system is a method of organizing tunes based on certain natural principles. Tunes in the same raga use the same (nominal) swaras in various combinations and with practice, the listener can pick up the similarity. Each raga has a swaroopam (a musical form or image) that is defined by the swaras used, the gamakas given to these swaras, the sequence in which the swaras occur etc. This definition is termed as the raga lakshanam. (The magazine Sruthi usually contains a discussion of ragalakshanam of one or two ragas in each issue). Raga lakshanam usually contains the arohanam, avarohanam, details of raga chaya swaras (the swaras which are chiefly responsible for the characteristic melody of the raga), gamakas, characteristic swara phrases and general usage notes. It is intended more for the performer than for the listener. We shall first define arohanam and avarohanam. Arohanam is the sequence of swaras used in a raga in the ascending passages i.e. as the pitch goes up. Avarohanam is the sequence of swaras to be used in descent. The arohanam and avarohanam (or the scale) of a raga provide only a skeletal outline upon which the rest of the raga is formed.
Ragas are not simply abstract collections of swaras that occur together to produce a tune. Each raga has a distinct image or swaroopam and it is this which defines a raga. Arbitrary selection of a set of swaras is unlikely to produce a distinct raga swaroopam and this is the reason for attributing the foundations of the raga system to nature. The ragas that we know of are the products of centuries of experimentation. Each ragam has associated with it a feeling that it induces in the listener and the performer. Hours of dedicated practice with a single raga (Saathakam) results in the realization of the raga swaroopa on the part of the performer and this is often referred to as obtaining a Dharshan of that particular raga. The unfortunate consequence of this is that various performers have slightly different mental concepts of a single raga and this is manifest in their music. But the good part is that it adds a tremendous variety to the music. This is also the reason why Carnatic music (performance) can never really be learnt from a book but needs a Guru who can portray the raga swaroopam in such a manner that the pupil can pick it up. From the viewpoint of the listener, a realization of the raga swaroopam means that some of the qualities of the music can be anticipated and this contributes greatly to listening pleasure.
Ragas fall into two types, the base or melakarta ragas and the derived or janya ragas. Melakarta ragas have a formal structure and follow a fairly rigid scheme of scientific organization whereas the janya ragas are rooted in usage and are liable to evolve with the music. In fact many janya ragas change their character over time. Janya ragas are derived from the melakarta ragas through various means as described subsequently. Melakarta ragas are identified by the fact that they use all seven swaras and the arohanam and avarohanam are always Sa-Ri-Ga-Ma-Pa-Da-Ni-Sa and Sa-Ni-Da-Pa-Ma-Ga-Ri-Sa. This type of arohanam and avarohanam is denoted by the term sampoornam, indicating completeness. The existence of multiple swara sthanas for Ri, Ga, Ma, Da and Ni implies that by collecting combinations of these, we can form a system of melakartas. This concept will be developed in the succeeding section. Any raga that does not belong to the melakarta system is a janya raga. Janya ragas are characterized by missing notes in the arohanam and/or avarohanam (eg. Sa-Ri-Ga-Pa-Da-Sa), the use of twisted progressions (eg. Sa-Ga-Ri-Ma-Pa-Da-Ni-Sa) etc. Janya ragas and their classifications will be described subsequently.


Raga Classification
Janaka RagasThere are two main types of raga in Carnatic Music: Janaka ragams and Janya ragams (which can be divided into further categories. Other names for a Janaka ragam are: Melam, Kathargam, Melakartha and Sampoorna ragam. Janaka ragas must fulfil each of the following conditions:
In the Aarohanam and Avarohanam the notes sa, ri, ga, ma pa, da, ni (and s) must all appear in the regualar order. The same type of svaram that appears in the Arohanam must also appear in the Avarohanam Both the Aarohanam and the Avarohanam should have the Tara stayi sa (s) In total there are 72 janaka ragas.


Janya Ragas
Janya ragas are ragas which are derived from janaka ragas. Each janaka ragam usually has a few janya ragams. The janya raga generally takes the same svaras as those of the janaka raga. Janya ragas can be split into many groups.


Janya Sampoorna ragams
Sometimes, in janya ragams, we find the seven svaras in both the Aarohanam and the Avarohanam, a characteristic of janaka ragas. So why are these ragas still considered being janya? It is because we find one type of a svara in Aarohanam and another type of the same svara in the Aarohanam.
e.g. (the number in the brackets indicates which janaka raga it was derived from)
Bhairavi (20) Aarohanam s r g m p d* n s Avarohanam s n d p m g r s
Bhairavi is considered to be a janya raga because in the Aarohanam it take chatusruthi dhaivatam but in the Avarohanam it takes suddha dhaivatam.
Sahana (28) Aarohanam s r g m p m g m d n s
Avarohanam s n d p m g m r g r s
Sahana is a janya raga because the seven svaras are not in the regular order. This is called Vakram.


Varja Ragams
In many janya ragams, either in the Aarohanam or in the Avarohanam (or in both) one or two svaras will be omitted from the janaka raga it was derived from. The svaras which are left out are known as varja svaras. Thus janya ragas missing svaras are known as varja ragams.
When one svara is absent from the Aarohanam and Avarohanam the raga (ie 6 svaras) is called Shadavam. When two svaras are absent (ie 5 svaras) the raga is known as Audavam. When rarely three svaras are missing, the raga is called Svarantharam. When no svaras are omitted the raga is known as Sampoorna (see above).


Examples
Shadava - Shadavam (6-6)
Sri Ranjini (22) s r g m d n s - s n d m g r s
Audava - Audavam (5-5)
Mohanam (28) s r g p d s - s d p g r s
Auduva - Shadavam (5-6)
Malahari (15) s r m p d s - s d p m g r s
Shadava - Audavam (6-5)
Bahudari (28) s g m p d n s - s n d m g s
Auduva - Sampoornam (5 -7)
Bilahari (29) s r g p d s - s n d p m g r s
Sampoorna - Audavam (7-5)
Saramathi (20) s r g m p d n s - s n d m g s
Shadava - Sampoornam (6-7)
Kambhoji (28) s r g m p d s - s n d p m g r s
Sampoorna Shadavam (7-6)
Neelambari (29) s r g m p d p n s - s n p m g r g s
Vakra Ragams
When either in the Aarohanam or Avarohanam or in both, one or two svaram are found in an irregular order, that ragam is called a Vakra ragam. Vakra ragams are found in three types:
Ragams in which only the Aarohanam is vakram:
e.g. Anandabhairavi (20) s g r g m p d p s - s n d p m g r s
Ragams where only the Avarohanam is vakram:
e.g. Saranga (65) s r g m p d n s - s n d p m r g m* r s
Ragams where both the Aarohanam and the Avarohanam are vakram are called Ubaya Vakra ragams:
e.g. Ritigaulai (22) s g r g m n d m n n s - s n d m g m p m g r s
Vakra ragams can also be varja ragams:
e.g. Atana (29) s r m p n s - s n d p m p g r s
This is an Auduva Vakra Sampoornam Ragam
Upanga and Bhanshanga Ragams
A janya ragam which takes its svaras only from the janaka raga it is derived from is known as an upanga raga:
e.g. Mohanam (28) s r g p d s - s d p g r s
Mohanam takes all of its notes from the Janaka raga it is derived from Harikamboji.
A janya ragam which not only contains notes belonging to it parent raga but also containing one or two foreign svaras is known as a bhashanga raga. A foreign note is indicated by a star (*).
e.g. Kamboji (28) s r g m p d s - s n d p m g r s
In the case of Kamboji, the Anya (foreign) svara only occurs in some sancharams (characteristic phrases of the ragam) and not in the Aarohanam or Avarohanam.
A ragam can be Upangam, Vakram and Varjam at the same time:
e.g. Sriragam (22) s r m p n s - s n p d n p m g r s
A ragam can also be bhansagam, vakram and varjam at the same time:
e.g. Mukhari (22) s r m p n d s - s n d* p m g r s


72 Melakarthas
The 72 melakarthas refer to the 72 janaka ragas and their arrangement.
The earliest form of the scheme of 72 Melakarthas comes from a book called: 'Chaturdandi Prasikal' which was written in the 17th Century by Venkatamani. The book spoke about the scheme of the ragas but didn't actually give specific names for each of the ragas. The names of the 72 melakarthas actually came from the 18th Century in the book 'Sangraha Chudamani' by Govindachariyar.


Fundamentals of the scheme
These are the 16 svaras used to create the 72 melakarthas in their regular order:
Shadjam (1) Suddha Rishabam (2) Chatusruthi Rishabam (3) * Shatsruthi Rishabam * Suddha Gandharam Sadharana Gandharam (4) Antara Gandharam (5) Suddha Madhyamam (6) Prati Madhyamam (7) Panchamam (8) Suddha Dhaivatam (9) Chatusruthi Dhaivatam (10) * Shatsruthi Dhaivatam * Suddha Nishadam Kaisiki Nishadam (11) Kakali Nishadam (12)In the table the four svaras in italics are called Vivadi svaras. A Vivadi svara is a svara which takes over the place of another svaras at certain time. Thus sometimes, Shatsruthi Rishabam takes over the place of Sadharana Gandharam; Suddha Gandharam takes over the place of Chatusruthi Rishabam; Shatsruthi Dhaivatam takes over the place of Kaisiki Nishadam; Suddha Nishadam takes over the place of chatusruthi dhaivatam.
With only the original twelve svaras only 32 melakarthas can be formed. However with the addition of the four vivadi svaras 40 more melakarthas can be formed. These 40 melakarthas are known as vivadi melakarthas as opposed to the other 32 melakarthas which are known as Vadi melakarthas.


The 72 melakarthas are divided into two equal groups each containing 36 ragas. The ragas in the first group are known as Poorva melakarthas and the next 36 ragas are known as Uttara melakarthas. In the first group of 36 melakarthas suddha madhymam is found and in the second group of melakarthas prati madhymam is found.


The 72 melakarthas can also be split into 12 groups called chakrams. Each chakram contains 6 ragams. Here are the charkams, in order:


Suddha Madhymam
1. Indu
2. Netra
3. Agni
4. Veda
5. Bana
6. Rutu
Prati Madhymam
7. Rishi
8. Vasu
9. Brahma
10. Disi
11. Rudra
12. Aditya
Two important points must be remembered in the formulation of this scheme:
Shadjam and Panchamam always remain the same Rishabam, Gandharam, Dhaivatam and Nishadam change
These are the abbreviations of the changing notes, as used in the scheme:
Ra - Suddha Rishabam
Ri - Chatusruthi Rishabam
Ru - Shatsruthi Rishabam
Ga - Suddha Gandharam
Gi - Sadharana Gandharam
Gu - Antara Gandharam
Dha - Suddha Dhaivatam
Dhi - Chatusruthi Dhaivatam
Dhu - Shatsruthi Dhaivatam
Na - Suddha Nishadam
Ni - Kaisiki Nishadam
Nu - Kalkali Nishadam


The Rishaba - Gandhara combinations follow a pattern as illustrated below:
In the 1st and 7th Chakrams : Suddha Rishabam and Suddha Gandharam
In the 2nd and 8th Chakrams : Suddha Rishabam and Sadharana Gandharam
In the 3rd and 9th Chakrams : Suddha Rishabam and Antara Gandharam
In the 4th and 10th Chakrams : Chatusruthi Rishabam and Sadharana Gandharam
In the 5th and 11th Chakrams : Chatusruthi Rishabam and Antara Gandharam
In the 6th and 12th Chakrams : Shatsruthi Rishabam and Antara Gandharam
There are also Dhaivata - Nishada combinations in the scheme:
In every Chakram
In the 1st Melakartha : Suddha Dhaivatam and Suddha Nishadam
In the 2nd Melakartha : Suddha Dhaivatam and Kaisiki Nishadam
In the 3rd Melakartha : Suddha Dhaivatam and Kalkali Nishadam
In the 4th Melakartha : Chatusruthi Dhaivatam and Kaisiki Nishadam
In the 5th Melakartha : Chatusruthi Dhaivatam and Kalkali Nishadam
In the 6th Melakartha : Shatsruthi Dhaivatam and Kalkali Nishadam


For more information on Ragas visit Raaga Corner

http://sify.com/carnaticmusic/moreheadlines.php?cid=13497670

MELAKARTA LIST OF RAGAS

MELA NUMBER MELA NAME AROHANA AVAROHANA


CHAKRA 1 - INDU


1 Kanakangi S R1 G1 M1 P D1 N1 S S N1 D1 P M1 G1 R1 S

2 Ratnangi S R1 G1 M1 P D1 N2 S S N2 D1 P M1 G1 R1 S

3 Ganamoorti S R1 G1 M1 P D1 N3 S S N3 D1 P M1 G1 R1 S

4 Vanaspati S R1 G1 M1 P D2 N2 S S N2 D2 P M1 G1 R1 S

5 Manavati S R1 G1 M1 P D2 N3 S S N3 D2 P M1 G1 R1 S

6 Tanaroopi S R1 G1 M1 P D3 N3 S S N3 D3 P M1 G1 R1 S

CHAKRA 2 - NETRA

7 Senavati S R1 G2 M1 P D1 N1 S S N1 D1 P M1 G2 R1 S

8 Hanumatodi S R1 G2 M1 P D1 N2 S S N2 D1 P M1 G2 R1 S

9 Dhenuka S R1 G2 M1 P D1 N3 S S N3 D1 P M1 G2 R1 S

10 Natakapriya S R1 G2 M1 P D2 N2 S S N2 D2 P M1 G2 R1 S

11 Kokilapriya S R1 G2 M1 P D2 N3 S S N3 D2 P M1 G2 R1 S

12 Roopavati S R1 G2 M1 P D3 N3 S S N3 D3 P M1 G2 R1 S

CHAKRA 3 - AGNI

13 Gayakapriya S R1 G3 M1 P D1 N1 S S N1 D1 P M1 G3 R1 S

14 Vakulabharanam S R1 G3 M1 P D1 N2 S S N2 D1 P M1 G3 R1 S

15 Mayamalavagowla S R1 G3 M1 P D1 N3 S S N3 D1 P M1 G3 R1 S

16 Chakravakam S R1 G3 M1 P D2 N2 S S N2 D2 P M1 G3 R1 S

17 Suryakantam S R1 G3 M1 P D2 N3 S S N2 D2 P M1 G3 R1 S

18 Hatakambari S R1 G3 M1 P D3 N3 S S N3 D3 P M1 G3 R1 S

CHAKRA 4 - VEDA

19 Jhankaradhwani S R2 G2 M1 P D1 N1 S S N1 D1 P M1 G2 R2 S

20 Natabhairavi S R2 G2 M1 P D1 N2 S S N2 D1 P M1 G2 R2 S

21 Keeravani S R2 G2 M1 P D1 N3 S S N3 D1 P M1 G2 R2 S

22 Kharaharapriya S R2 G2 M1 P D2 N2 S S N2 D2 P M1 G2 R2 S

23 Gowrimanohari S R2 G2 M1 P D2 N3 S S N3 D2 P M1 G2 R2 S

24 Varunapriya S R2 G2 M1 P D3 N3 S S N3 D3 P M1 G2 R2 S

CHAKRA 5 - BANA

25 Mararanjani S R2 G3 M1 P D1 N1 S S N1 D1 P M1 G3 R2 S

26 Charukesi S R2 G3 M1 P D1 N2 S S N2 D1 P M1 G3 R2 S

27 Sarasangi S R2 G3 M1 P D1 N3 S S N3 D1 P M1 G3 R2 S

28 Harikambhoji S R2 G3 M1 P D2 N2 S S N2 D2 P M1 G3 R2 S

29 Dheera-sankarabharanam S R2 G3 M1 P D2 N3 S S N3 D2 P M1 G3 R2 S

30 Naganandini S R2 G3 M1 P D3 N3 S S N3 D3 P M1 G3 R2 S

CHAKRA 6 - RUTU

31 Yagapriya S R3 G3 M1 P D1 N1 S S N1 D1 P M1 G3 R3 S

32 Ragavardhini S R3 G3 M1 P D1 N2 S S N2 D1 P M1 G3 R3 S

33 Gangeyabhooshani S R3 G3 M1 P D1 N3 S S N3 D1 P M1 G3 R3 S

34 Vagadheeswari S R3 G3 M1 P D2 N2 S S N2 D2 P M1 G3 R3 S

35 Soolini S R3 G3 M1 P D2 N3 S S N3 D2 P M1 G3 R3 S

36 Chalanata S R3 G3 M1 P D3 N3 S S N3 D3 P M1 G3 R3 S

CHAKRA 7 - RISHI

37 Salagam S R1 G1 M2 P D1 N1 S S N1 D1 P M2 G1 R1 S

38 Jalarnavam S R1 G1 M2 P D1 N2 S S N2 D1 P M2 G1 R1 S

39 Jhalavarali S R1 G1 M2 P D1 N3 S S N3 D1 P M2 G1 R1 S

40 Navaneetam S R1 G1 M2 P D2 N2 S S N2 D2 P M2 G1 R1 S

41 Pavani S R1 G1 M2 P D2 N3 S S N3 D2 P M2 G1 R1 S

42 Raghupriya S R1 G1 M2 P D3 N3 S S N3 D3 P M2 G1 R1 S

CHAKRA 8 - VASU

43 Gavambodhi S R1 G2 M2 P D1 N1 S S N1 D1 P M2 G2 R1 S

44 Bhavapriya S R1 G2 M2 P D1 N2 S S N2 D1 P M2 G2 R1 S

45 Subhapantuvarali S R1 G2 M2 P D1 N3 S S N3 D1 P M2 G2 R1 S

46 Shadvidhamargini S R1 G2 M2 P D2 N2 S S N2 D2 P M2 G2 R1 S

47 Suvarnangi S R1 G2 M2 P D2 N3 S S N3 D2 P M2 G2 R1 S

48 Divyamani S R1 G2 M2 P D3 N3 S S N3 D3 P M2 G2 R1 S

CHAKRA 9 - BRAHMA

49 Dhavalambari S R1 G3 M2 P D1 N1 S S N1 D1 P M2 G3 R1 S

50 Namanarayani S R1 G3 M2 P D1 N2 S S N2 D1 P M2 G3 R1 S

51 Kamavardhini S R1 G3 M2 P D1 N3 S S N3 D1 P M2 G3 R1 S

52 Ramapriya S R1 G3 M2 P D2 N2 S S N2 D2 P M2 G3 R1 S

53 Gamanasrama S R1 G3 M2 P D2 N3 S S N3 D2 P M2 G3 R1 S

54 Viswambari S R1 G3 M2 P D3 N3 S S N3 D3 P M2 G3 R1 S

CHAKRA 10 - DISHI

55 Syamalangi S R2 G2 M2 P D1 N1 S S N1 D1 P M2 G2 R2 S

56 Shanmukhapriya S R2 G2 M2 P D1 N2 S S N2 D1 P M2 G2 R2 S

57 Simhendramadhyamam S R2 G2 M2 P D1 N3 S S N3 D1 P M2 G2 R2 S

58 Hemavati S R2 G2 M2 P D2 N2 S S N2 D2 P M2 G2 R2 S

59 Dharmavati S R2 G2 M2 P D2 N3 S S N3 D2 P M2 G2 R2 S

60 Neetimati S R2 G2 M2 P D3 N3 S S N3 D3 P M2 G2 R2 S

CHAKRA 11 - RUDRA

61 Kantamani S R2 G3 M2 P D1 N1 S S N1 D1 P M2 G3 R2 S

62 Rishabhapriya S R2 G3 M2 P D1 N2 S S N2 D1 P M2 G3 R2 S

63 Latangi S R2 G3 M2 P D1 N3 S S N3 D1 P M2 G3 R2 S

64 Vachaspati S R2 G3 M2 P D2 N2 S S N2 D2 P M2 G3 R2

65 Mechakalyani S R2 G3 M2 P D2 N3 S S N3 D2 P M2 G3 R2 S

66 Chitrambari S R2 G3 M2 P D3 N3 S S N3 D3 P M2 G3 R2 S

CHAKRA 12 - ADITYA

67 Sucharitra S R3 G3 M2 P D1 N1 S S N1 D1 P M2 G3 R3 S

68 Jyotiswaroopini S R3 G3 M2 P D1 N2 S S N2 D1 P M2 G3 R3 S

69 Dhatuvardhini S R3 G3 M2 P D1 N3 S S N3 D1 P M2 G3 R3 S

70 Nasikabhooshani S R3 G3 M2 P D2 N2 S S N2 D2 P M2 G3 R3 S

71 Kosalam S R3 G3 M2 P D2 N3 S S N3 D2 P M2 G3 R3 S

72 Rasikapriya S R3 G3 M2 P D3 N3 S S N3 D3 P M2 G3 R3 S

The Melakarta Scheme

The Melakarta Scheme

Contemporary Carnatic music is based on a system of 72 melakarta ragas. These 'creator' ragas are also called janaka ragas and thai (mother) ragas. The current system can be traced to the works of Venkatamakhi who appears to be the first to use 72 melakartas. Earlier works generally contain fewer melakartas and most have flaws in organization. At that time, (16th century) many of Venkatamakhi's melakartas were unknown and were not assigned names. Later, all 72 were given names and this system is sometimes referred to as the Kanakaambari - Phenadhyuthi system after the names of the first two melakartas in it. Muthuswamy Dikshithar's compositions are generally based on the raga names and lakshanams (definitions) in this system while Thyagaraja used a later scheme devised by Govindacharya in the late 18th century. Venkatamakhi did not believe that melakartas must be of simple sampoorna arohanam - avarohanam but favored the idea of calling a raga as a melakarta if all the seven swaras occurred in either the arohanam or the avarohanam. Thus a raga which went Sa-Ri-Ma-Pa-Ni-Sa, Sa-Da-Pa-Ga-Ri-Sa could be a melakarta under this scheme. Govindacharya's insistence on sampoorna arohanam - avarohanam leads to a system which is more elegant from a mathematical viewpoint. In this scheme, the melakartas arise out of systematic permutation of the seven swaras into the twelve swara sthanas. Seen this way, the melakarta scheme is a product of mathematical abstraction and the naming of swaras (and the introduction of vivadi swaras) is of no consequence as far as the organization of the melakartas is concerned. No wonder, Venkatamakhi is reputed to have said that even Lord Maheswara could not create more melakartas!
As we noted before, all melakartas employ a complete (sampoornam) arohanam - avarohanam structure. The purvangam of a melakarta refers to the lower half of the Arohanam - Avarohanam, namely Sa-Ri-Ga-Ma and uttarangam refers to the upper half or Pa-Da-Ni-Sa. First let us examine the possible variations in the uttarangam. Pa is fixed. Da can occupy three sthanas and so can the Ni. But, the Ni has to be always above the Da and that leaves us with the following six possible uttarangams.
(1) Pa-Suddha Dhaivatham-Suddha Nishadam-Sa
(2) Pa-Suddha Dhaivatham-Kaisika Nishadam-Sa
(3) Pa-Suddha Dhaivatham-Kakali Nishadam-Sa
(4) Pa-Chatusruthi Dhaivatham-Kaisika Nishadam-Sa
(Suddha Nishadam occupies the same swara sthana as Chatusruthi Dhaivatham and hence the two cannot occur together)
(5) Pa-Chatusruthi Dhaivatham-Kakali Nishadam-Sa
(6) Pa-Shatsruthi Dhaivatham-Kakali Nishadam-Sa
These six uttarangam combinations are denoted by the names Pa, Sri, Go, Bhu, Ma and Sha respectively. The following series of figures illustrate the keyboard locations of the swaras in these six uttarangam combinations as also the corresponding numbered swara sthanams (the number 13 refers to the Sa of the next octave) for one kattai sruthi.
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Da ## ## __ __ __ __ __ __ Pa Ni Sa ________________________________Swara Locations for the 'Pa' uttarangam (8-9-10-13)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Da Ni ## __ __ __ __ __ __ Pa Sa ________________________________Swara Locations for the 'Sri' uttarangam (8-9-11-13)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Da ## ## __ __ __ __ __ __ Pa Ni Sa ________________________________Swara Locations for the 'Go' uttarangam (8-9-12-13)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Ni ## __ __ __ __ __ __ Pa Da Sa ________________________________Swara Locations for the 'Bhu' uttarangam (8-10-11-13)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## __ __ __ __ __ __ Pa Da Ni Sa ________________________________Swara Locations for the 'Ma' uttarangam (8-10-12-13)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Da ## __ __ __ __ __ __ Pa Ni Sa ________________________________Swara Locations for the 'Sha' uttarangam (8-11-12-13) As in the case of the Da and Ni uttarangam combinations, the Ri and Ga provide six possible combinations. Each of these can occur with either of the two Madhyamams to yield a total of twelve possible purvangams. The twelve purvangam combinations are each called as chakras. The twelve chakras and the corresponding purvangams are as follows.
(1) Indu Sa, Suddha Rishabam, Suddha Gandharam, Suddha Madhyamam (2) Netra Sa, Suddha Rishabam, Sadharana Gandharam, Suddha Ma (3) Agni Sa, Suddha Rishabam, Anthara Gandharam, Suddha Ma (4) Veda Sa, Chatusruthi Rishabam, Sadharana Gandharam, Suddha Ma (5) Bana Sa, Chatusruthi Rishabam, Anthara Gandharam, Suddha Ma (6) Ruthu Sa, Shatsruthi Rishabam, Anthara Gandharam, Suddha Ma (7) Rishi Sa, Suddha Rishabam, Suddha Gandharam, Prati Madhyamam (8) Vasu Sa, Suddha Rishabam, Sadharana Gandharam, Prati Ma (9) Brahma Sa, Suddha Rishabam, Anthara Gandharam, Prati Ma (10) Disi Sa, Chatusruthi Rishabam, Sadharana Gandharam, Prati Ma (11) Rudra Sa, Chatusruthi Rishabam, Anthara Gandharam, Prati Ma (12) Aditya Sa, Shatsruthi Rishabam, Anthara Gandharam, Prati Ma The chakra names are associated with the chakra numbers they represent. For example, there are four Vedas, and Veda chakra is the fourth chakra. The following illustrations depict the swara locations on the keyboard for the twelve chakras, along with the numbered swaras.
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Ri ## ## ## ## ## __ __ __ __ __ __ Sa Ga Ma ________________________________Swaras of Indu Chakra (1-2-3-6)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Ri Ga ## ## ## ## __ __ __ __ __ __ Sa Ma ________________________________Swaras of Netra Chakra (1-2-4-6)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Ri ## ## ## ## ## __ __ __ __ __ __ Sa Ga Ma ________________________________Swaras of Agni Chakra (1-2-5-6)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Ga ## ## ## ## __ __ __ __ __ __ Sa Ri Ma ________________________________Swaras of Veda Chakra (1-3-4-6)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## __ __ __ __ __ __ Sa Ri Ga Ma ________________________________Swaras of Bana Chakra (1-3-5-6)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Ri ## ## ## ## __ __ __ __ __ __ Sa Ga Ma ________________________________Swaras of Ruthu Chakra (1-4-5-6)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Ri ## Ma ## ## ## __ __ __ __ __ __ Sa Ga ________________________________Swaras of Rishi Chakra (1-2-3-7)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Ri Ga Ma ## ## ## __ __ __ __ __ __ Sa ________________________________Swaras of Vasu Chakra (1-2-4-7)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Ri ## Ma ## ## ## __ __ __ __ __ __ Sa Ga ________________________________Swaras of Brahma Chakra (1-2-5-7)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Ga Ma ## ## ## __ __ __ __ __ __ Sa Ri ________________________________Swaras of Disi Chakra (1-3-4-7)
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Ma ## ## ## __ __ __ __ __ __ Sa Ri Ga ________________________________Swaras of Rudra Chakra (1-3-5-7)
Each of the twelve purvangams can be combined with the six uttarangams to obtain a total of 72 melakartas. The melakartas are then identified by combining the chakra name with the Pa - Sri designation. Thus, a melakarta described as Rudra-Ma (or no. 65, Mechakalyaani) corresponds to an arohanam and avarohanam containing Shadjam - Chatusruthi Rishabam - Anthara Gandharam - Prati Madhyamam - Panchamam - Chatusruthi Dhaivatham - Kakali Nishadam - Shadjam. The following table lists all the 72 melakartas and the swaras used in each of them using the chakra and Pa - Sri notation as described. The first 36 melakartas use Suddha Madhyamam and melakartas 37 through 72 use Prati Madhyamam. These two groups are sometimes identified as Suddha Madhyama melakartas or Purva melakartas and Prati Madhyama melakartas or Uttara melakartas respectively. The table is organized in such a fashion that a Suddha Madhyama melakarta and its Prati Madhyama pair (the melakarta which shares all swaras except the Madhyama) occur on the same line. Thus to find out what is the Prati Madhyama (or Uttara melakarta) pair of Maayaamaalavagowla, one just reads across the table to find Kaamavardhani (which is also known as Pantuvaraali). If it were not for the gamakkas, such pairs would sound very similar and be different only when the Madhyama occurs.
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Ri Ma ## ## ## __ __ __ __ __ __ Sa Ga ________________________________Swaras of Aditya Chakra (1-4-5-7)
Melakarta Ragas
Many of the melakartas have alternate names like in the example just cited and some of these are listed in the Appendix. In addition, some of the common ones (like Thodi) are listed with prefixes (Hanumathodi). This is in accordance with the so called 'Katapayaathi' formula. Using this formula, numerical values are assigned to consonants as listed in the following table (the devanagari script is the basis upon which this assignment is done). To find out what is the location of a melakarta in the table, the first two consonants are deciphered using the numerical assignment table and the resulting number is inverted left to right. For example, consider Hanumathodi - the first two consonants being Ha and Na. Ha is assigned 8 and Na is zero. The resulting number if 80 and after inversion, this yields the number 8, which is the melakarta number corresponding to Hanumathodi. One must be careful in decoding prefixes - for example, Thodi, Sankaraabharanam and Kalyaani are melakartas which take on prefixes to identify their melakarta numbers but Naata, Bhairavi and Kaambhoji are not melakartas but actually janya ragas of Chalanaata, Natabhairavi and Harikaambhoji respectively. The naming of melakartas in accordance with the Katapayaathi formula is generally attributed to Govindacharya. Govindacharya was well versed in astrology and the Katapayaathi convention has been widely used in astrology for centuries.
Once the melakarta number is known, one can use the chakra scheme to identify the swaras in it. As an example, consider Shanmugapriya. The consonants are Sha and Ma. Sha=6 and Ma=5 to yield the melakarta number 56. Dividing 56 by 6 yields a quotient of 9 and a remainder of 2. This means that Shanmugapriya belongs to the 10th (or Disi) chakra and is the second (or Sri) raga in that chakra. Thus Shanmugapriya is identified as Disi-Sri. Then, the swaras in Shanmugapriya are (collecting the purvangam and uttarangam from the tables) Sa - Chatusruthi Rishabam - Sadharana Gandharam - Prati Madhyamam - Pa - Suddha Dhaivatham - Kaisika Nishadam - Sa. Note that in figuring out the chakra, we need to add one to the quotient to obtain the chakra number. We can use the melakarta table to directly find that Shanmugapriya is Disi-Sri and end up with the same swaras. The following keyboard diagram illustrates the location of the swaras in Shanmugapriya for one kattai sruthi.
========================================== ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## Ga Ma Da Ni ## __ __ __ __ __ __ Sa Ri Pa Sa ________________________________Swaras in Raga Shanmugapriya
Table. Letter Values in Katapayaathi Formula
Values Letters
Ka series Ta Pa Ya
1 Ka Ta (as in Tom) Pa Ya2 Kha Tha Pha Ra3 Ga Da (as in dumb) Ba La4 Gha Dha Bha Va5 Nga (as in Bengal) Na (as in Anna) Ma Sa (as in Siva)6 Cha (as in chip) Ta (as in with) Sha(as in Shut)7 Chha Tha Sa (as in Sea)8 Ja Da Ha9 Jha Dha0 Ngya Na (as in Pen)It is worthwhile to observe here that the Pa, Sri, Go, Bhu, Ma, Sha designation is also based on the Katapayaathi formula (with Sri treated as ra). The formal organization of the melakartas provides some insights into the similarities between certain ragas. Ragas in the same chakra share their purvangam and thus, sound similar in that portion. This explains, for example, the similarity between Kharaharapriya and Kiravaani. Ragas whose melakarta numbers differ by a multiple of six (meaning they have the same Pa-..-Sha designation) have the same uttarangam and this too causes similarity, as in the case of Lataangi and Kaamavardhani. One can find many pairs of melakarta ragas that differ by a single swaram, as in the case of Lataangi and Kaamavardhani (which differ only in Ri). Locating such pairs is often very instructive. A good musician makes it a point not to dwell on chains of swaras that are shared by various ragas, but often introduces contrasting swaras that are designed to let the listener identify the similarities and the differences simultaneously. This aspect can be used as a test of how good a musician really is. In a recent concert, a popular musician was performing a composition in the raga Chaarukesi. Chaarukesi can be seen to have the same purvangam as Sankaraabharanam and the same uttarangam as Shanmugapriya or Thodi. However, singing the purvangam portion of Sankaraabharanam and then the uttarangam of Shanmugapriya or Thodi has very little to do with the true swaroopam of Chaarukesi. This is like arguing that glueing a lion's head to a human torso results in the creation of a new being, when all it really does is create neither a lion nor a human being. The resulting creature is a poor excuse for a human or a lion and can be seen only as such. The use of gamakkas is also intricately connected to the concept of raga swaroopam and even though swaras may be the same, the gamakkas are often different, leading to ragas that are quite distinct in character.
The melakarta ragas in which vivadi swaras appear are called as vivadi melakartas. Thus all melakartas of Indu, Ruthu, Rishi and Aditya chakras as well as all melakartas with Pa or Sha designation are vivadi melakartas. The Pa and Sha designated ragas have a vivadi swara in their uttarangam while the Indu, Ruthu, Rishi and Aditya chakra ragas have a vivadi swara in their purvangams. Thus, there are 40 vivadi melakartas, out of which 8 have two vivadi swaras and the rest one vivadi swara each. If a melakarta system is constructed without the vivadi melakartas, a number of fairly common ragas will have to be treated as being outside the system (eg. Gaanamurthy, Jhaalavaraali). Further, janya ragas like Naata will have no associated melakarta, exposing the limitations of the classification system.

Katapayadi sankhya way of determining the number of a melakarta ragam

The katapayadi sankhya is a way of determining the number of a melakarta ragam from the first two syllables of the name of the raga.

Katapayadi sankhya 1 2 3 4 5 6 7 8 9 0 Kadi nava Ka Kha Ga Gha Nga Ca Cha Ja Jha Nya Tadi nava Ṭa Ṭha Ḍa Ḍha Ṇa Ta Tha Da Dha Na Padi pancha Pa Pha Ba Bha Ma Yadi ashta Ya Ra La Va Śa Sha Sa Ha
कटपयादि संख्या १ २ ३ ४ ५ ६ ७ ८ ९ ० कादि नव क ख ग घ ङ च छ ज झ ञ टादि नव ट ठ ड ढ ण त थ द ध न पादि पंच प फ ब भ म यादि अष्ट य र ल व श ष स ह
To use the sankhya, take the first two syllables of the name of the ragam, and locate the corresponding columns on the table. Then take the two numbers and reverse them to get the mela number.
An Algorithm to derive the SwarasthanasOnce the mela number is obtained, it is possible to derive the individual Swaras of the ragam. Here is how the SwaraSthanas are derived:
There is only one Sa in an Octave. so, 'Sa' is fixed. 'Ri' and 'Ga' notes: divide the melakarta number by 36 and note the remainder. The raga will have... Ri1 and Ga1 if remainder is less than 7 and greater than 0 Ri1 and Ga2 if remainder is less than 13 and greater than 6 Ri1 and Ga3 if remainder is less than 19 and greater than 12 Ri2 and Ga2 if remainder is less than 25 and greater than 18 Ri2 and Ga3 if remainder is less than 31 and greater than 24 Ri3 and Ga3 if remainder is either zero or greater than 30 Melakartas 1 to 36 use Ma1 (shudhdha madhyamam) while 37 to 72 use Ma2 (prathi madhyamam) 'Pa' is fixed as well. 'Da' and 'Ni' notes: divide the melakarta number by 6 and note the remainder. The raga will have... Da1 and Ni1 if remainder is 1 Da1 and Ni2 if remainder is 2 Da1 and Ni3 if remainder is 3 Da2 and Ni2 if remainder is 4 Da2 and Ni3 if remainder is 5 Da3 and Ni3 if remainder is 0 Example:
Lets take the melakarta#29, namely Dheerasankarabharanam. Its Melakarta number is 29. Lets apply the above Algorithm to obtain the swarasthanas of this ragam:
Since we know that 'sa' and 'pa' are fixed, we just need to determine Ri, Ga, Ma, Da and Ni.
Ri and Ga:
When dividing 29 by 36, the Remainder is 29. This is less than 31 and greater than 24. Hence using the above set of rules, we determine that Dheerasankarabharanam has Ri2 and Ga3.
Ma:
Since 29 is less than 37 this raga has Ma1.
Da and Ni:
On dividing 29 by 6 we get 5. This means that this raga has Da2 and Ni3.
To conclude, this raga's scale is: Sa Ri2 Ga3 Ma1 Pa Da2 Ni3 SA.
Thus, we have just derived the entire scale of this raga from its Melakarta number