32 Thaats (Scales) Flipped – Part I

I am sure that this post will prove to be the most interesting post for advance students of Indian Music. As we have discussed earlier, the ‘Ten Thaat System’ does not fully describe the scope of Hindustani scales. According to the definition of a Thaat, a Thaat is a scale of seven notes that uses at least one instant of each and every note. That leads us to the 32 Thaat System. 32 Thaats are essential to find all theoretical Raags of Northern and Southern Indian music.

Now, how do we find these 32 Thaats. The formula is purely mathematical. That turns many people off from even touching the subject. However, there are a number of ways to illustrate this formula so it would make perfect sense to all musicians.

In this post, we are going to find 32 Thaats by flipping the scales. I have been talking about Thaat flipping in the last few posts. So by now you must have a very good idea what that is all about.

According to the Thaat Flipping theory, the first scale is Kalian. Kalian looks like this:

S,R,G,M,P,D,N or
Tone, Tone, Tone, Semitone, Tone, Tone, Semitone.

In Kalian, all notes are in their upper position. Or, we can say that all notes are Tivar. Now it is just matter of lowering (making them Komal) the notes systematically to get 32 Thaats.
In the following illustration:

1. First, starting from the top (Nishad), we lower one note to get a scale.
2. Then we flip that scale (swap the Vikrat notes). The Komals become Tivars and the Tivars become Komals.
3. We continue to add notes downwards to find all possible combinations and flip each Thaat to reveal its counterpart.

Remember, there are only five notes in Indian scale that have two positions. These notes are: R, G, M, D, N. Whatever notes are ‘Komal’ in the original Thaat, they should be ‘Tivar’ in the flipped Thaat.

Play with the following interactive infographic, by clicking the ‘Next’ button. In the next post I will describe these Thaats in plain text. Enjoy.
[iframe width=”100%” height=”300″ src=”https://www.sangtar.com/canvas/170202-flip-thaats_Canvas.html”].
 

sangtar.com > Music Theory > Advanced Theory

Thaat Flipping – Basics

Gateway to IndiaThere are 12 notes in Indian Saptak (septave). Two out of these twelve have only one instance. These are ‘Sa’ and ‘Pa’ or the first and the fifth. All other notes have two instances, lower and upper or Komal and Tivar. Here are these twelve notes written as they appear in the Saptak.

Sa, Pa and all Tivar notes are capital, the Komal or lower instances of 5 movable notes are shown in the lower case:

S, r R, g G, m M, P, d D, n N.

Now, here are the notes of Bilaval Thaat (Natural Scale):

S, R, G, m, P, D, N

In Bilaval, the four out of five movable notes (R, G, M, D and N are movable notes as they can have two instances) are Tivar or are in upper position. Only Madhyam or M or the fourth is in its lower position. Now, let’s swap the positions of all notes in Bilaval.

Thus this:
S, R, G, m, P, D, N
will become
this: S, r, g, M, P, d, n

The new Thaat has Sa, Komal Re, Komal Ga, Tivar Ma, Pa, Komal Dha and Komal Ni. Which Thaat is it? Moreover, how many Thaats in the current “Ten Thaat System” comply with this system?
Write the 10 Thaats down and swap the Komals with Tivars. Let’s see what you get.

I will post the answers to these questions in the next post.

sangtar.com > Music Theory > Advanced Theory

Back from Europe

Hello everyone,
I am back from our European tour. As I am getting back into my old schedule, I am going to post some videos for you. Here is the second video from Manmohan Waris’s Dil Nachda Album. Lyrics are by Mangal Hathur, Video director is Azim Parkar and music is by yours truly. I hope you will like it.

Moorshanas to Thaats Part II

Sangtar in the studio

Art changes with time. Indian music has changed too. No one should expect today’s music to comply with the Vedic rules. However, we must also keep in mind that the change in Indian music was not natural and gradual. We had lost our old ways for a while. Now we have found the old treasures again. We can understand them and learn from them. We don’t have to change our music, but we can definitely benefit from it.

The Vedic music is music of thought and logic. It cannot be learned without knowing the theory of music. In the last few centuries, the Indian music has become a practical art. Many artists who are the torch bearer of Hindustani music have no formal training of music theory. That has limited the scope of our music. Art of music is an aural display of math and physics.

According to Muslim Ustads, one can only be real musician when one has acquired three qualities:

a. Aadat
b. Jigar
c. Hisab

Same things have been said in the scriptures. One without the true knowledge of music, cannot do anything for the advancement of the art. To invent something new, one must know what already has been invented. Thus, although we may not go back to a system with Moorshanas and Grams, but we need to know them to take our current music to the next level.

Vedic music has given us tools and theories about every aspect of music. We have to find ways to see how that can apply to our contemporary styles. It is the most elaborate system of “Svara and Suptak”. We will keep talking about these aspects of music in the future posts. Here I would like to talk a little about Moorshanas and Thaats.

Today, the original Grams have been gone. The Grams are now known as ‘scale tuning’. Their power to change the Raags has been diminished. The introduction of 12 notes has also merged all Moorshanas into one octave. The Thaat theory is the only theory that can properly describe the Indian music today. Although the Moorshana theory is still essential to describe the scales on a flute and it also comes in handy when transposing a Thaat. This theory will live on in the form of Modal music.

The Thaat system is here to stay. But is it working as it is?

The answer is no, the 10 Thaats of Indian music are not enough to describe all the existing Raags. This theory was the brain child of a handful of musicologists of the 20th century. Not everyone in the field has accepted it. Moreover, the ones who have, are struggling with describing the hundreds of Raags in the limited number of parent scales.

The real number of Thaats of Indian music should be 32. The Southern music has 72 Thaats. That theory is not practical for Northern Indian music, where the notes are fixed to only two states, lower and upper (komal and tivar).

Most musicologists today agree that just like the western scale, the 12 notes of Indian music are made of 7 natural and 5 Vikrat or ‘moved’ notes.

Modern Hindustani notes are:

1. Sa
2. Re
3. Ga
4. Ma
5. Pa
6. Dha
7. Ni

And, modern Hindustani scale is:
Octave-Suptak

1. Sa
2. Re Komal
3. Re
4. Ga Komal
5. Ga
6. Ma
7. Ma Tivar
8. Pa
9. Dha Komal
10. Dha
11. Ni Komal and
12. Ni

According to the Thaat theory, a Thaat must have all seven notes. Therefore, there are 32 Thaats in the Hindustani music. Here is an interactive look at these Thaats. Please use the “next” button to see the all 32 scales. The ten popular Thaats have been listed as they appear:
[iframe width=”100%” height=”300″ src=”https://www.sangtar.com/canvas/170204-32-thaats.html”]
The interactive animation above lists the Thaats in the following order:

1. Thaats with only one Vikrat note
2. Thaats with two Vikrat notes
3. Thaats with three Vikrat notes
4. Thaats with four Vikrat notes and
5. Thaat with all five Vikrat notes

And the count starts from the top and goes downwards.
Among many popular theories to categorize the 32 Thaats, one is known as ‘Thaat Flipping’. We will talk about that theory next.

sangtar.com > Music Theory > Advanced Theory

Moorshanas to Thaats – Part I

Amir Khusro with his Guru Nizamuddin Aulia

Today, there are 10 Thaats in Hindustani music.
The questions often asked by the students of Hindustani music discussed in our lat post are:

1. Can one categorize 56 Moorshanas into 10 parent scales (Thaats).
2. Are there any equivalent Moorshanas for Bhairav, Poorvi, Todi and Marva thaat?
3. Can one define 12 notes of an octave through the Sharuti system to establish all the Thaats?

Answer to all the above is simple; no.

If no, then what happened?
How did we go from one system to the other, which are not compatible with each other?

Answer to that question is not so simple. The first and foremost factor is history of India. Second is the influence of charismatic musicologist, who more than once changed the path of Hindustani music with there personal views.

When India became a Muslim empire, the foreign emperors (and their administrators) brought their own entertainers with them. Thousands of musicians from Persia and Middle East arrived in India. Their music was based on 12-note octave and they used ‘Mukam System’ to categorize the scales. For the longest time there was no integration between two types of music. When the time arrived, original Indian music had two set backs.

1. It did not have royal sponsorship.
2. Newcomers were not ready to grant higher or equal status to the arts of a defeated nation. This notion did not just affect the music. It reflected in all types of arts (builidings, paintings etc.)

The tide slightly changed when a new generation of Persian musicians was born in India. Regardless of their religious beliefs or political loyalties, they were Indians. It was their motherland. Many of them were not comfortable with the notion that they should play a foreign style of music. Hazarat Amir Khusro is the most influential musicologist of this era. He took the task of making the popular music ‘all Indian’ on him. Amir Khusro was a brilliant musician and enjoyed support of five different emperors. Although it was believed that he was fully versed in both types of music, but now musicologists and historians agree that his knowledge of Indian music was limited. Rather than spending a lifetime to understand the secrets of Moorshana and grams, he classified the known Rāgas in Mukam system. This turned a page in the history of Indian music. Seeds of Mail System or Thaat system were sown.

For four hundred years, music historians and musicologist have spent their lives justifying that both systems were essentially the same. The modern names of Southern Indian notes are the prime example of far reaching effects of this misunderstanding. Modern thinkers know that regardless of Ramatyas justifications, these names are not compatible with the Gram system. The Carnatic music is not in the scope of this blog so I will not go into details on this subject. However consequences of these actions were severe, before that time India never had two music systems. There was only one Indian music. In essence they still are the same. But in this era of redefining everything, Northern music faired a little better. It came out richer and better than ever before.

Pandit V.N. Bhatkande (right) with Abraham Pandither (left), Atiya Begum Fyzee-Rahamin (center) and Zakiruddin Khan (standing). The Music of India, 1925 The second influential person in the modern history of Indian music was Pundit Vishnu Narayan Bhatkhande. Rather than taking a scientific approach to Thaat creation, he divided the popular Raags into 10 Thaats. Here again historian disagree. Some think that all his invetions were actually not his but result of his Guru’s lifetime research. Which even Pundit V N B himself admits. Regardless of the origin of his doctrins, he is the face of modern Hindustani Music theory and his contributions and their effect on the Hindustani music is undeniable.

The prime motive to choose only ten Thaats was to keep the system simple. In his opinion the ten Thaats were sufficient to cover all three types of Raag-scales. You have seen these three categories in the Time Theory post.

1. Raags With Komal Re and Dha
2. Raags with Shudh Re and Dha
3. Raags with Komal Ga and Ni

Read more about this theory here.

After the Independence (August 15,1947), Hindustani musicians and musicologists enjoyed a much more open and welcoming environment. New projects of translating the ancient scriptures began. An open dialogue between the new and the old started. For the first time in the history of our music, researchers could share their ideas globally with all Hindustani musicians. They could speak their mind without worrying about any royal reprecussions. The walls started to come down. The knowledge hidden in the corners of remote temples, houses, asharams, libraries, digs and hearts started to merge. There are so many great people on both sides of the border (India and Pakistan) who have done a great deal of service to Hindustani music in the last 60 years.

Acharya Brihaspati

Achayria Brihaspati is definitely the torch bearer of this new era. He demonstrated the old and new and helped the new generation of musicians to understand the essence of Indian music.

Although all ancient styles of singing and performing are lost, the practice of performing Indian music never really changed. All current musical styles have their roots in the ancient styles. The progression of change is natural.

The Mughal era proved to be the most effective era in the history of Hindustani Music. This was a time of peace and prosperity in the middle India. Art flourishes in such periods. This was the time when Sanskrit reciting Brahmans could sit and share ideas with their Muslim Gurus and Students. Mian Tansen is the most famous vocalist of this time. From his drupads, it is obvious that he was well versed in the old Moorshana System and the new Mukam system.

Acharya Brihaspati considers today’s Ghazal Performers the same as the Gadharavas of the ancient India. In Ghazals, the words and notes are both equal. A ghazal writer is as important as the musician who composes it. In ancient India these two aspects of musical performance were known as Dhatu and Matu.

sangtar.com > Music Theory > Advanced Theory

Punjabi Virsa 2007 – The European Tour

Three of us (Manmohan Waris, Kamal Heer and myself) are again taking the ‘Punjabi Virsa’ on the road. Our European tour, ‘Punjabi Virsa 2007’ starts on 26th of August with an open-air show at Alton Towers England. From there, we will visit Italy, Greece, Austria and Scotland and finish the tour back in England. I hope to see you all at the concerts. Bring lots of enthusiasm and I promise you that all your expectations will be exceeded.

Punjabi Virsa 2007 - Manmohan Waris, Kamal Heer & Sangtar

Alton Towers Theme Park,
Staffordshire, UK
August 26th 2007
More information and tickets: http://www.r33ce.com/ or  07932 994 861
Parisos Stadium,
Athens, Greece
September 1st, 2007
More information and tickets: 697 252 6807
Pala Brescia Concert Hall,
Brescia, Italy
September 2nd, 2007
More information and tickets: 329 879 6966
Royal Concert Hall,
Glasgow, Scotland
September 4th, 2007
More information and tickets: 07958 513 487
Reggio Emilia,
Reggio Emilia, Italy,
September 8th, 2007
More information and tickets: 328 409 2421
San Felice Circeo,
Latina, Italy.
September 9th, 2007
More information and tickets: 329 466 3666
Wembley Arena,
London, UK
September 15th, 2007
More information and tickets: 07958 513 487
Woodville Hall,
Gravesend, UK
September 16th, 2007
More information and tickets: 07958 513 487
Vienna,
Langenfeld gasse 13-15, 1120 Wien(Vienna), Austria.
September 14th, 2007
More information and tickets: 699 1946 8540
Frankfurt,
Germany.
September 21st, 2007
More information and tickets:
Athena Concert Hall,
Leicester, UK
September 22nd, 2007
More information and tickets: 07958 513 487
Civic Hall,
Wolverhampton, UK
September 23rd, 2007
More information and tickets: 07958 513 487

Please note that Plasma Records has no plans to release any concert from this tour on DVD. Below is the schedule of this tour. If there is any change, I will try to correct it as soon as possible. For more up to date information, please visit Plasma Records web page at www.plasmarecords.com

Sangtar’s music blog

Building a Bridge between the Old and the New

Ustad Mehdi Hassan

Today’s Indian music is based on the Thaat system, which is a derivative of Mukam System (Persian). Today’s natural scale is not the same as the original ancient natural scale.
The ten Thaats of modern Northern music are not able to cover 56 Moorshanas of Vedic music. And, there are scales (Thaats or Mails) and Raags in Indian music today that do not follow Bharat’s doctrine.

The questions often asked by the students of Hindustani music are:

1. Can one categorize 56 Moorshanas into 10 parent scales (Thaats)?
2. Are there any equivalent Moorshanas for Bhairav, Poorvi, Todi and Marva thaat?
3. Can one define 12 notes of an octave through the Sharuti system to establish all the Thaats?
4. is there any provision in Gram and Moorshana system to have an interval bigger than 4 Sharuties (such as Re komal to Ga Shudh in Bhairav or an interval of 3 semitones)?

Answers to all the above questions are; no, no, no and no.

Then what happened?
How did we go from one system to the other, which are not compatible with each other?

There is no simple answer. In essence, the practice of music did not change as much as its interpretation has. We need to understand both the old and new and then build a bridge to use the best of both worlds.

Next few posts will address this very issue.

If you have been following this blog, I hope it has widened your horizons. This blog is not about today’s headlines. It is about the ancient art of music. The very first article still stays equally relevant as the very last one. Do not forget to revise the old articles to keep the information fresh. Only revisions can turn a piece of information into knowledge, and without knowledge, there is no wisdom!

sangtar.com > Music Theory > Advanced Theory

Understanding Moorshanas

Mian Tansen, Swami Haridas and Mughal Emperor Akbar

To understand the Moorshana system, let us discuss the process in a point form:

1. Gram is a method of setting-up an octave. Gram determines the interval of notes within the octave.
2. There are two Grams in Vedic or Ancient Indian Music.
3. The first and the main gram is ‘Shadaj Gram’ or the Gram of Sa
4. In Vedic music, there are seven Shudh (pure or natural) Svaras.
5. The intervals of modern Shudh notes do not match with this Shudh Octave. The Vedic octave is:

a. Shadaj or Sa on 4th Sharuti
b. Rishav or Re on 7th Sharuti
c. Gandhar or Ga on 9th Sharuti (modern Komal Gandhar!)
d. Madhyam or Ma on 13th Sharuti
e. Pancham or Pa on 17th Sharuti
f. Dhaivat or Dha on 20th Sharuti
g. Nishad or Ni on 22nd Sharuti (modern Komal Nishad!)

If the semitone interval was variable as required in the Just Intonation scale, the Shadaj Gram is:

tone –semitone-tone-tone-tone-semitone-tone

Alternatively, the First Shudh Moorshana of Shadaj Gram is similar to the Dorian Mode. It can also be compared to modern Kafi Thaat which has 3rd and 7th Komal or flat. Keep in mind however, that the Kafi thaat is not first Shudh (pure) Moorshana of Shadaj Gram. It is actually the Rishav Santra Moorshana of Madhyam Gram.

6. There are two Vikrat Notes in Vedic music:

a. Antar Gandar on 11th Sharuti (Perfect third from the root or Modern Shudh Gandhar!) and
b. Kakali Nishad (perfect third from the Fifth or Modern Shudh Nishad!)

7. Thus there are four version of Shadaj Gram:

a. Shudh, containing all natural notes
b. Santra, containing Antar Gandhar instead of the Shudh Gandhar
c. Sakakali, containing Kakali Nishad instead of the Shudh Nishad and
d. Sadharna, containing both Vikrat notes (Antar Gandhar and Kakali Nishad)

8. The four versions of a Gram give birth to four types of Moorshanas.
9. As we know that one Saptak has seven Moorshanas (as described in this post), thus there are 28 Moorshanas in one gram (7×4)
10. Two Grams (Shadaj and Madhyam Gram) have 56 Moorshanas.

To see an example, lets see all four Shadajaa (starting from Shadaj) Moorshanas in the Shadaj Gram:

1. Shadajad Shudh Moorshana : S4, R3, G2, M4, P4, D3. N2
2. Shadajad Santra Moorshana: S4, R3, G4, M2, P4, D3. N2
3. Shadajad Sakakli Moorshana: S2, R3, G2, M4, P4, D3. N4
4. Shadajad Sadharna Moorshana: S2, R3, G4, M2, P4, D3. N4

All other Moorshanas of Shadaj Gram can be created based on the theory above.
For example here are the 7 Shudh Moorshanas of Shadaj Gram:

1. Shadajad Shudh Moorshana : S4, R3, G2, M4, P4, D3, N2
2. Rishavad Shudh Moorshana : R3, G2, M4, P4, D3. N2, S4
3. Gandharad Shudh Moorshana : G2, M4, P4, D3, N2, S4, R3
4. Madhyamad Shudh Moorshana : M4, P4, D3, N2, S4, R3, G2,
5. Panchamad Shudh Moorshana : P4, D3, N2, S4, R3, G2, M4,
6. Dhaivatad Shudh Moorshana : D3, N2, S4, R3, G2, M4, P4,
7. Nishadad Shudh Moorshana : N2, S4, R3, G2, M4, P4, D3

Comparing Shudh Moorshanas of Shadaj Gram with modes:

1. Shadajad Shudh Moorshana is Dorian
2. Rishavad Shudh Moorshana is Phrygian
3. Gandharad Shudh Moorshana is Lydian
4. Madhyamad Shudh Moorshana is Mixolydian
5. Panchamad Shudh Moorshana is Aeolian
6. Dhaivatad Shudh Moorshana is Locrian
7. Nishadad Shudh Moorshana is Ionian

sangtar.com > Music Theory > Advanced Theory

Grams and Moorshanas

Pundit Hari Prasad Chaurasia

Modern Indian music is based on ‘Mail’ or ‘Thaat’ system. The ancient music was based on Gram and Moorshana. A Moorshana is the order of seven consecutive notes in any Gram. The modes of western music are exact equivalent of Moorshanas.

Before we explore Moorshanas, let’s see the Seven modes of western music.

In western music, if we change the tonic of a natural scale, the modes changes. We can say that according to ancient Indian music, the Moorshana changes, where in modern Indian music, the Thaat changes. Here are the seven modes:

1. Ionian I = C D E F G A B
2. Dorian II = D E F G A B C
3. Phrygian III = E F G A B C D
4. Lydian IV= F G A B C D E
5. Mixolydian V = G A B C D E F
6. Aeolian VI = A B C D E F G
7. Locrian VII = B C D E F G A

Six of the above modes have equivalent Thaats within the ten Thaats of Modern Hindustani Music.

1. Ionian is Bilaval
2. Dorian is Kafi
3. Phrygian is Bhairvi
4. Lydian is Kalyan
5. Mixolydian is Khamaj
6. Aeolian is Asavari

Read more about Thaats here (Thaat system) and here (Ten Thaats of Northern Indian Music).

The idea to play the intervals determined by a mode or a Moorshana from a fixed note (such as C), gave birth to the Thaat theory. In this theory, all the above modes will be written like this:

1. Ionian I = C D E F G A B (all natural)
2. Dorian II = C D Eb F G A Bb (2nd and 7th flat)
3. Phrygian III = C Db Eb F G Ab Bb ( 2nd, 3rd, 6th and 7th flat)
4. Lydian IV= C D E F# G A B (4th sharp)
5. Mixolydian V = C D E F G A Bb (7th flat)
6. Aeolian VI = C D Eb F G Ab Bb (3rd, 6th and 7th flat)
7. Locrian VII = C Db Eb F F#(Gb) Ab Bb (2nd, 3rd, 6th and 7th flat, both positions of 4th)

There is no Locrian Thaat in modern Indian music, because in Thaat system, we must use one of all seven notes. As notes are assigned in northern music, there is no Pa or fifth is this mode. According to Thaat system, this is a Chhadav Scale (hexatonic). However, according to the Moorshana system, this is a Sampooran Scale. This mode is Dhaivitaad Moorshana of Shadaj Gram. There is no Thaat for Dhaivataad Moorshana in modern Northern Music.

There are 56 Moorshanas in 2 Grams that are constructed exactly the same way as we constructed modes in the above example.

sangtar.com > Music Theory > Advanced Theory

Grams of Natyashastar

Rishi Valmiki writing Ramayana

In ancient Indian music, order of intervals in an octave was classified in Grams. The word Gram means a village. The main note of a Gram or the Gramini (village head), must have three properties:

1. It must be a 4 Sharuti Svara (note),
2. It must have a perfect fourth and a perfect fifth in the octave, and
3. The next note from the main note must be a three Sharuti note.

In ancient Indian music, there were three grams.

1. Shadaj Gram
2. Madhyam Gram and
3. Gandhar Gram

The first two Grams have a harmonic relation to each other. The third Gram, Gandhar gram has four Vikrat notes. It did not have the qualities to create Jaties and Moorshanas that would follow the rules of Gram and Sharuties (accepted intervals). The musicologist never made it the subject of their attention. Indian Classical music is based on the first two Grams.

To understand the Grams, let’s see the ancient natural octave and its Sharuties once more:

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
S
R
G
M
P
D
N
1
2
3
4
1
2
3
1
2
1
2
3
4
1
2
3
4
1
2
3
1
2

In simple text, we can write it like this:

4S, 3R, 2G, 4M, 4P, 3D, 2N

This is Shadaj Gram, the Gram of Shadaj or Sa. According to the Gram properties:
1. Sa is a 4 Sharuti note,
2. Ma and Pa in this octave are Sa’s perfect fourth and fifth, and
3. Re, which is the next note from Sa, is a 3 Sharuti note.

As I have described in earlier posts, there are two Vikrat notes in Shadaj Gram:

1. Antar Gandhar and
2. Kakali Nishad

Shadaj Gram-with antar gandhar and Kakali Nishad

Antar Gandhar (modern shudh Ga) is two Sharuties higher than the natural Shadaj Gram Gandhar and Kakali Nishad is two Sharuties higher than Natural Shadaj Gram Nishad.

In Shadaj Gram, Re and Pa are not in perfect fourth Samvad. When Pa (fifth) is lowered one Parman Sharuti (5 Savarts), it becomes a perfect fourth to Rishav. At that point it loses its perfect fifth relation with the root. As the intervals change, the Gram is also changed. When the Pancham or Pa is in perfect harmony with Re, then the octave reflects the second Gram, Madhyam Gram.

In Madhyam Gram, Ma is the first note of the octave. Therefore, the Madhyam Gram is:

4M, 3P, 4D, 2N, 4S, 3R, 2G

In this order, Madhyam is the only note that fulfills all three requirements to be called the main note of this Gram. It is a four Sharuti note. Nishad and Shadaj are its perfect fourth and fifth and the next note, Pa, is a three Sharuti note.

Changing the Gram:
There are two ways to alter the Shadaj Gram tuning into Madhyam Gram tuning:
1. Lower the fifth or Pa one Parman Sharuti so it becomes perfect fourth to the second or Re. In this case, note names do not change. Shadaj Gram Madhyam becomes the first note of the new Gram.
2. Tune the third or Gandhar two Sharuties higher, so it becomes perfect third to the root or Shadaj. In Shadaj Gram this note is Antar Gandhar. The first scale from Sa is called the first Santra (with Antar Gandhar) Moorshana of Shadaj Gram. If you now change the names of the notes (Sa becomes Ma), the first Santra Moorshana of Shadaj Gram become first Shudh (pure) Moorshana of Madhyam Gram. Here is the explanation:

a. Shadaj Gram is: 4S, 3R, 2G, 4M, 4P, 3D, 2N
b. Shadaj Gram with Antar Gandhar is: 4S, 3R, 4G, 2M, 4P, 3D, 2N
c. Madhyam Gram is: 4M, 3P, 4D, 2N, 4S, 3R, 2G

Now compare the Sharuti order of C with B

C: 4-3-4-2-4-3-2
B: 4-3-4-2-4-3-2

Therefore, the S R G M P D N of Shadaj Gram become M P D N S R G of Madhyam Gram. This example illustrates that the Shadaj Gram octave with Antar Gandhar is the same as Shudh (pure) Madhaym Gram and both of these Grams have a harmonic relation (perfect fourth).

sangtar.com > Music Theory > Advanced Theory