Monday, August 20, 2007

Shrutibhedam made easy (hopefully...)

In his post on Vaidehi Raman, PRC wrote in one of his comments---

I realized there is a way of communicating sruthi bhedam to engineers.
Assume sa = 1, ri=2, ga = 3, ma=4, pa=5, dha=6, ni=7 (assuming all swaras are in kalyani)

If f(1)=Kalyani then
f(2) = hari kambhoji
f(3) = nata bhairavi
f(4) = is a null set
f(5) = shankaraabharanam
f(6) = kharaharapriya
f(7) = hanumathodi

if it is of any help!

This post elaborates more on the procedure and hopefully makes it simpler.

To me, this seems like a three step procedure to find out which ragas can be obtained by applying shrutibhedam on a given raga:

Consider Kalyani as above (since we already knowthe final answers... so no doubts there!)

Kalyani: S R2 G3 M2 P D2 N3 S

STEP-I:
Drawing the swara line, analogous to the number line of the Mathematics, we can get the distances between two successive swaras:

So Kalyani can be represented as 2 2 2 1 2 2 1.

STEP-II:
Now, keep applying left shift to this sequence to make each successive note as the base note (Shadjamam). We get the following series of sequences:
In the above series, sequence no. II represents the scale when Rishabham of Kalyani is made as the base note, i.e., Shadjamam; III represents the scale when GAndhAram of Kalyani is made Shadjamam, etc.

STEP-III:
Now let us see what raga each of the above sequences turns out to be—
The last column lists the name of the scale hence obtained as a result of transformation.

So there we are!

Similarly, shruti-bhedam can be performed on janya ragas as well:

Consider Mohanam: S R2 G3 P D2 S. It can be encoded as 2 2 3 2 3 from the swara line in step- I. Now, we can apply the same procedure as above to Mohanam and see what ragas we can get out of it!

There are similar methods given on various websites related to Carnatic and this post is based on what I have learned from those websites.

So it turns out that this shrutibhedam concept is not too difficult atleast to understand... to sing or to play using Shrutibhedam is another matter though...


Kedar.

11 comments:

Aakarsh said...

aaaha! As simple as it can get. Perfectly mathematical! I wonder what why we guys are still sticking to these jobs and all. There is some much to learn in music, with beautiful concepts like these.
Kedar, if you taken off from where Ravi has left. Brilliant post to sum up the concept of shrutibhedam.

Gandaragolaka said...

I guess the topic of shrutibhedam just waiting to be demystified... I was trying to get to it since a long time, but only yesterday I got through to some links on the net based on which, I could simplify it to this process.

Neha Nair said...

tats a lot f hardwork. should help the engineers some day :)

Ganesh Gopalasubramanian said...

This seems to be a great effort by you guys....

For a layman like me .... cud u send some starters to identify what raaga is... what a note is... what composition means... and the basics....

Kash said...

That is very nice way of explaining. I think I understand the "shruti bedham" concept better now. Thanks for the same. Now what is its connection to the so called "graha bedham"? Are they related in anyway?

Unknown said...

GOOD EXPLANATION AND IF YOU POST SUCH VIDEOS ON GRAHABEDHAM IT WILL BE MORE HAPPY

Unknown said...

GOOD EXPLANATION AND IF YOU POST SUCH VIDEOS ON GRAHABEDHAM IT WILL BE MORE HAPPY

Anonymous said...

Fantastic!!! Love this explanation

Uma Deekshith said...

This is easy to do when the number of notes in both the parent and shruthi bheda raagas are the same.
A very common Shruti bheda transition is Simhendramadhyamam to Bowli.
Bowli is not a sampoorna raaga and Simhendramadhyamam is.
Additionally Bowli has a different number of notes in its arohana and avarohana.
Can you explain the maths behind this please ?
Thank you
Uma

Uma Deekshith said...

For example one can make a transition from Shuddhadhanyasi to Mohanam using the
Shuddhadhanyasi "Ga" as the "sa" for mohanam.
Because they are both pentatonic raagas this is easy to verify.
Similarly Simhendramadhyamam to Mayamalavagowlai - both are sampoorna raags and
the validity of the shrithi bhedam is easily verifiable.

Uma Deekshith said...

For the transition from Simhendramadhyamam to Bowmi the rishabham (ri) of the former is used as the panchamam (pa) of bowli.
Can you help me verify the validity of this shift mathematically.