Sharuti System: The Birth of Notes

Music is an aural art. Any tone, which has a fixed frequency, can be used as a musical note. However, we sing and play music using more than one note. The difference between frequencies of any two notes is known as interval.

Long ago, a question popped in ancient artists’ mind.
What is the biggest or smallest note interval?
Lord of Dance -Natraj A never ending quest started. The Sharutis were their first yardsticks to map the intervals between notes, nothing more and nothing less.

We do not know the origin of music, but we do know that the theory of music is not the mother of music. The grammar of a language is defined after a language has been established. Also, a child learns to speak the language and then learns to read and write.

In the development of music, the things went like this (from a Natyashaster verse):
First songs, then notes, then Grams, Sharutis and then the Jaties (raags)

When we say that the songs must have developed after humans were civilized, we are forgetting something. Look around you. Birds sing, so do the other mammals. There are songs everywhere.

It is certain that as humans got civilized, their songs got complicated. With the development of language, the songs became more meaningful. The primal screams evolved into poems of love, separation, nature, beauty and other things that affected us emotionally. When something said through conversation does not capture the essence of our feelings, a song erupts in us. That is a primal instinct. It is not something that is impossible to do without the knowledge of Sharuties and Grams. A villager in India or a Gypsy in Europe cannot stop singing just because they do not know the difference between Just intonation and Chromatic intonation. These are afterthoughts.

When the enlightened artists of the ancient world sang their songs, the beauty of changing pitch compelled them to find more about it. What is it that changing the pitch up and down in certain ways sounds so…musical!

The first known theory of music in Indian Vedas (Samveda) contains four notes. Nowadays notes are always mentioned in ascending (such as C D E or Sa Re Ga) order. In Vedic tradition, the notes are mentioned in Avrohatmic order (in descending). The first four the Vedic artists knew were:
Madhyam (ma), Gandhar (ga), Rishav and Shadaj.
These were known as the first, second, third and fourth Svaras.

When I say they ‘knew’ about four notes, that doesn’t mean that they were unaware of higher and lower pitches. As described above, this was purely theoretical classification that explained the notes used in popular hymns and songs.

Then another note was found below all other known notes. They called it Mandar. A musicologist Tambru named it Dhaivat (the note that only enlightened one can hear, as it is the first note that has perfect third relation to the first note). This was the fifth note. Then Tambru established another note (Nishad) between Dhaivat and Shadaj. It was called the sixth. Later, below all other notes another note was found. It was named the ‘seventh.’ As it completed the septave, this note was also established above the first (Madhaym).

So in Samveda, M, G, R, S, D, N, P became the first, second, third, fourth, fifth, sixth and seventh. These notes were not the same as our modern notes with same names.

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What is Music?

In Indian tradition, music is a combination of three separate art forms:
1. Singing
2. Playing and
3. Dancing

These art forms are learned and performed through Raag and Taal. ‘Raag’ is the dictator of melody and the ‘Taal’ is the dictator of Rhythm. In addition, melody is the product of sound and the rhythm is product of time. Therefore, ‘the music is the art of manipulating the ‘sound’ through ‘time’.

The time affects music in two different ways. First through rhythm is obvious. However, the time is also at work producing the musical sounds that are useful in melody. The universe is full of sounds, but every sound is not musical.

Therefore, the next question is, what is a musical sound?
Each sound can have two segments:
Veena

1. The strike and
2. The resonance

In Hindi, these are known as ‘Aghaat’ and ‘Kampan.’ The strike is not a musical sound, but its resonance is. Let’s explore that further. When an object is hit, the first movement it creates in the air is not musical. After the initial strike, the object either will resonate at a fixed frequency or will stand still. If the object creates a tone at a fixed frequency, that tone can be useful in music. Without that resonance the sound will be nothing more than a ‘tick.’

In Sanskrit, these are known as ‘RaNit’ and ‘AnuraNit.’ The ‘AnuraNit’ is the mother of Sharuties.

Now the question is, how long this resonance has to be?
Musically speaking, it has to be long enough so our brain can register it as a musical sound. With the damper on, you can run your hand on a piano keyboard as fast as you can and brain still registers the pitches. Therefore, the length has to be in mere milliseconds. Nowadays if you use a digital audio editor, keep cutting a wave file of a single note, eventually it loses its tone. At that point, it becomes an unmusical ‘strike’ or a click. All those who work with digital editors know that there is an annoying ‘tick’ hidden in the beginning of every pleasant sound. The minimum length of a note varies with the frequency. Naturally, higher the frequency, sooner the note is detected.

The sages of music knew these things without the help of DAWs thousands of years ago.

When more than one frequency is present in the air, they interact with each other. Their vibrations overlap. The sound changes. Some frequencies compliment each other and others do not. The intervals of notes in an octave are directly related to their power to influence the other frequencies.

The enlightened ones have recognized this effect equally all around the world. One way or the other, they set up the notes that share similar frequencies. In India, the practice of setting up the note intervals was based on Sharuties. We will start to explore the ‘Sharuti System’ in the next post.

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Genesis

Somewhere between 3000 and 6000 years ago, an Indian sage Bharat Muni, wrote a book about the performing arts and forever tied the stage, dance and music together. The book is called ‘Natyashastar’ (Natya = performing Arts, Shastar = Science). It is said that the Brahma himself taught Bharat the secrets of performing arts and asked him to spread the knowledge in the world.

The book became the most important source in the development of art of music throughout the world. At that time, India was an important destination for knowledge seekers and travelers. Artists from all over the world went to Indian Ashrams and learned the secrets of Natyashastar. The seven main notes of music in Indian, Chinese, Persian and European music are not just a coincidence, we have to thank Bharat Muni for it. He proved that the note intervals are not arbitrary but (should) have a relation to the root.

Natayshastar is the first available source in the history of our civilization that explains the true nature of harmonics. This knowledge eventually arrived in Europe and a couple of millennia later, Pythagoras used some of Bharat Muni’s techniques to explain the musical phenomenon thorough math and physics. Unlike Bharat Muni, Pythagorus established a scale based on perfect fifths. I read somewhere that at Pythagoras’ time, the consonant of third was not known to Europeans. Yet it was a major part of Bharat’s scale. Bharat established his scale based on three types of harmonics:

Perfect fifth or 3/2,
Perfect fourth or 4/3 and
Perfect third or 5/4.

We will continue discussing these concepts in detail in other posts. Swar MandalHere I would like to give you a simple example of Bharat Muni’s Shudh (pure) Suptak on a Swar Mandal or a Harpsichord:
1. Establish Sa
2. Establish Pa with Sa-Pa (3/2, perfect fifth or Sa-Pa) relation
3. Establish Ma with Sa-Ma (4/3, perfect fourth or Sa-Ma) relation
4. Establish N with M-N (4/3, perfect fourth or Sa-Ma) relation
5. Establish Ga with Ni-Ga Avrohagatic (3/2, perfect fourth or Sa-Ma in descending) relation
6. Establish Dha with Ma-Dha (5/4, perfect third or Ma-Dha) relation
7. Establish Re with Re-Dha Avrohagatic (3/2, perfect fourth or Sa-Ma in descending) relation
8. Establish upper Sa with Pa-Sa (4/3, perfect fourth or Sa-Ma) relation

Shadaj Gram

Compared with modern natural scales, Bharat’s Ga and Ni are komal (flat). Bharat used only nine notes in his music. The above seven are the pure notes and the following two are the Vikrats (moved):
1. Modern shudh Ga (natural third) or Bharat’s Antar Ga (Gandhar) = Sa- Ga (5/4, perfect third or Ma-Dha) relation
2. Modern shudh Ni (natural seventh) or Bharat’s kakali Ni (Nishad) = Pa-Ni (5/4, perfect third or Ma-Dha) relation

Bharat established his music system based on Gram and Moorshana. Gram is the system of establishing the interval of notes, where Moorshana is the system of making parent scales. The above Shudh scale is Bharat’s Shadaj Gram (the Gram of Sa).

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Natural Scale

You may have read somewhere on this site that Indian Natural Scale is identical to Western Natural Scale.

tone-tone-semitone-tone-tone-tone-semitone

Now, as we discuss the advance theory of music, we have to find the true ‘Natural Scale’. There is no standard Western Natural Scale, so the comparison makes no practical sense. Although, if one does not wish to look into the soul of music, the comparison and the term itself (natural scale) need no further explanation.

Physics of music is a weird phenomenon. For centuries, musician tuned their instruments to each other. What they perceived natural, was natural. Without knowing the frequncies of various notes, everything was naturally in-tune. Now, when we are trying to tie the music to a fixed octave, the natural scale is mere a term. There is nothing natural about any scale played on an electronic keyboard or piano.

Music is an audible art, based on what we hear. To our ears, perfect harmonics sound pleasing. Thus the ancient musical scales were based on perfect harmonics. There are many ways to construct a harmonic scale. Although by doing so, based on the composition, sometimes a few temporary or permanent interval adjustments are required. That is what music is all about. A professional composer or performer knows how to make his composition sound ‘just right’.

Generally speaking, a scale based on ‘just intonation’ is a natural scale. The notes in this scale are established by multiplying the base note’s value with the following harmonic intervals:

Natural Scale (Just Intonation)

Unison= 1 (starting note)
Major 2nd=9/8
Major 3rd=5/4
Perfect 4th=4/3
Perfect 5th=3/2
Major 6th=5/3
Major 7th=15/8
Octave=2

If a piano is tuned according to the above ratios starting from the middle ‘C’, and one wishes to play D major, the intervals will not work. Having said that however, you can change the ‘keynotes’ in C major to get seven different scales, and they all are perfectly natural (more on this later).

We will slowly explore the physics of music. The point is not to remember the frequencies of notes, the point is to understand the natural musical intervals. Indian musicologists explored these phenomenon long before the rest of world. Around 2000BC, The Indian scales based on harmonics had already established and explained in depth.

Nowadays, the natural scale is not derived from harmonics. It is derived from ‘the twelfth root of two’, which has a value of 1.059463 (approx). When this number is multiplied 12 times, the answer is “2”, that is the value of our octave notes (See the list above, the last ratio is 2:1). This system ignores all other harmonics to get a perfect octave. 12 notes of an octave are placed on equal intervals. Although, the values you get through this system are around the desired values, but these are not perfect. This system of dividing a scale into 12 equal intervals is called an “Equal Temperament Scale.”

A violin player cannot play this scale. Only a tuner can achieve these tunings. Humans (trained) naturally play a ‘just intonation’ scale. Yet many musicians think that ‘just intonation’ scales are outdated. Have a look at how one “music wizard” explains the ‘just intonation’ scale in ‘Google Answers’:

“The archaic natural scale uses whole number ratios multiplied by the base note of the octave to achieve the frequency of the other notes. This is an imperfect or dissonant method of composing scales and usually does not sound right.” Perhaps he is a DJ.

If you are interested in reading more about physics of music, the following website has a lot of correct information: Physics of music

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26. More About Time Theory

Parmail-Parveshak Raags:
A ‘Parmail-Parveshak’ Raag contains qualities from more than one category discussed in the last post. If you keep performing the Raags on their given time, you will see that there is no sudden change in notes. The ‘Parmail –Parveshak’ Raags make the gradual change form one time slot to the other. For example, when it is time to go from Shudh ‘Re-Dha’ Raags to Komal ‘Ga-Ni’ Raags, Raag ‘Jai-Jai Vanti (name) fits right in there. It has Shudh ‘Re’ and ‘Dha’ and Komal ‘Ga’ is introduced along with the Shudh ‘Ga’. So gradually, the change is made from the second category to the third.

‘Poorvang-Vadi’ and ‘Utrang-Vadi’ Raags:
Once we are done with the basic theory, we shall discuss Poorvang and Utrang (upper and lower tetrachords) in detail. Here I am only discussing these in their capacity to affect a Raag’s time slot. This theory goes parallel with the above categorization. In this theory an octave is divided into two overlapping (only for determining the time of a Raag?) parts.

(If the keynote is ‘C’):

026_poorvaang-utraang.gif
The first group is called ‘Poorvang’ (lower half)
The second group is called ‘Utrang’ (upper half)

We already know that the ‘Vadi’ note is the king note of any Raag. If a Raag’s Vadi note is from the lower half of the octave, that Raag is called a ‘Poorvang-Vadi’ Raag. If the Vadi Note is from the upper half of the octave, the Raag is called an ‘Utrang-Vadi’ Raag.

The Poorvang-Vadi Raags are performed from noon to midnight. And the Utrang-Vadi Raags are performed from midnight to noon. 026-hari.jpg
Once you know the Vadi note of a Raag, which is very important to know if you want to know a Raag, you already know which half of the day it goes to. It is also true that a Raag’s Vadi and Samvadi suwars reside in the opposite halves of an octave. So switching a Raag’s Vadi and Samvadi notes will in fact, change a Raag’s time by 12 hours. Normally, ‘Poorvang’ and ‘Utrang’ are not overlapped. That is a very widely accepted concept and makes a lot of sense when explaining the advance Thaat system. But here, when a Raag has ‘Pa’ Vadi and is considered a Poorvang-Vadi Raag, we run into problems. There is no other solution but to overlap Poorvang and Utrang. When divided this way, both parts share three notes (S, M, P). And whenever one of these notes is the Vadi note of the Raag in question, do not rely on ‘Poorvang-Utrang’ theory and check it otherwise. There are many Raags, which have a ‘Ma’ Vadi and are performed in the morning and with ‘Pa’ Vadi performed in the evening. So once again ‘Sa, Ma or Pa, if any one of these notes is Vadi, check the Raag for its ‘Komal’ (flats) and ‘Shudh’ (natural) notes, check the flow of the Raag. If Raag seems to stay in the upper half regardless of its Vadi note, then it is an ‘Utrang’ type (upper half) Raag and will fit into midnight to noon time slot or vice versa. The confusion has been created by continuous change in the popular style of Raags.

Wheel of Time:
As I mentioned earlier, the time theory divides a day into 8 pehars, morning and evening Raags overlapping two pehars. Here is an illustration showing how the day is divided. If needed, we will later see how the Raags fit on this wheel.
Wheel of Time

Conclusion:
Many new performers do not pay intention to the time theory at all. Their argument is that nowadays Raags are not always performed live. If the performer wants to record an evening Raag, and the only available studio time is in the morning, he has to do it. And who knows at what time a listener is going to hear the recorded material. An evening classical TV or radio show cannot limit itself to Raags only available in that time slot. So slowly, the time theory is fading out. However, it is good idea to learn about a Raag’s time slot because it adds so much to its personality.

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25. Time Theory of Raags

The Time theory of Raags is an ancient theory. Every Raag has a three-hour time slot in the day. One slot is called a “Pehar”. There are 8 Pehars in a 24 hour day. A Raag performed in its time slot has the most effect on the listener and the performer. Through the ages though, many Raags have been modified, and their allotted time slots do not match with their flow of notes. This incompatibility has created a lot of confusion about this theory. However, if a student knows the basics of the Time Theory, the proper alterations can be made.
Pandit Ravi ShankarAt first look, the time theory of Raags alludes many. It seems random, there are formulas however. It is directly connected to the notes used in a Raag. Every Note, when used with certain other notes, has a different effect. That creates certain moods. Based on that, we can divide Raags into three categories:

1. Raags with ‘Komal’ ‘Re’ and ‘Dha’ (second and sixth flat)
2. Raags with ‘Shudh’ ‘Re’ and ‘Dha’ (second and sixth natural)
3. Raags with ‘Komal’ ‘Ga’ and ‘Ni’ (third and seventh flat)

1. Raags with Komal ‘R’ and ‘D’ (second and sixth flat)
These Raags are called ‘Sandhi-prakash’ (dawn/dusk or twilight) Raags. As the name suggests, these Raags are sung in the early morning and early evening. ‘Ma’ (the fourth) note plays a very big role to separate the morning Raags from the evening Raags. In the morning Raags, ‘Ma’ is usually natural and in the evening Raags it is usually sharp. Another thing to remember about these Raags is that the third note (‘Ga’) is always natural. If ‘Ga’ is flat, then the Raags will go in the third category. Importance of Komal ‘Dha’ (sixth) is not as high as Komal ‘Re’. If ‘Re’ is Komal and ‘Dha’ is natural, the Raag will still come under this category. But if it is the other way around, then it will go to the second category.

2. Raags with ‘Shudh’ ‘Re’ and ‘Dha’ (second and sixth natural)
These Raags are sung right after the ‘Sandhi-Prakash (twilight) Raags. So their time slot is around 7-10 a.m. and p.m. Again these Raags must have a Shudh ‘Ga’ (third natural), otherwise they will go under the next category. ‘Ma’ (fourth) plays a big role in these Raags too. The same rule applies here, the ‘a.m.’ Raags have natural ‘Ma’ and the ‘p.m.’ Raags have Tivar ‘Ma’ (fourth sharp).

3. Raags with Komal ‘Ga’ and ‘Ni’ (third and seventh flat)
These Raags have the next time slot in both day and night. In these Raags, the position ‘Re’ or ‘Dha’ does not matter. However, these Raags must have Komal ‘Ga’ (third flat). Importance of komal ‘Ni’ (the seventh) is not as high as the position of the ‘Ga’ (third).

The above categorization is very useful to memorize a Raag’s appropriate time. As I stated earlier, this division is not perfect though. Indian music theory is over 5000 years old. Along the way it has acquired its fair share of exemptions. There are a few other things, which may or may not overrule the above categorization. Raag ‘Yaman’ (name) is an evening Raag. Nevertheless, it is always the first Raag in a performance, regardless of the time of the day. Similarly, no matter it is day or night, Raag ‘Bhairavi’ (name) is the last Raag performed. A few other Raags occupy bigger than a 3-hour time slots and a few are only sung during a special season. Read more about this in the next post.

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