Related audava rAgams (contd)

Last Updated On: June 24, 2000

Added some MP3 samples on June 24, 2000. The information on these pages were last updated on February 9, 1998. Click on the underlined rAgams for a sample of their ArOHanam and avarOHanam.


The intent of this analysis is to bring out the close relationships between rAgams from a theoretical standpoint. Moreover, beginners and people with interest in learning more about Carnatic music may find it easier to relate to the rAgams, compared to a simple list of rAgams in alphabetical order or the order of the mELakarthA rAgams they are related to.

The tree

I am working on a computer program to generate the tree, shown in the previous page given any arbitrary starting pentatonic rAgam and the database of known pentatonic rAgams. I am also planning to create a program that creates the table of relationships shown below. This, I hope, will help many more Carnatic music lovers than the tree.

A tabular look at positions of notes

The following tabular view should help people visualize the relations in easier way. In these tables, "+" represents a higher octave.

First we begin with the graha bEdham groups

mOHanam group
mOHanamS_R2_G3__P_D2__S+_R2+_G3+__P+_D2+
madhyamAvathi__S_R2__M1_P__N2_S+_R2+__M1+_P+
HindhOlam____S__G2_M1__D1_N2_S+__G2+_M1+
shudhDha sAvEri_______S_R2__M1_P_D2__S+_R2+
shudhDha dhanyAsi_________S__G2_M1_P__N2_S+
shivaranjani group
shivaranjaniS_R2G2___P_D2__S+_R2+G2+___P+_D2+
rEvathi__SR1___M1_P__N2_S+R1+___M1+_P+
sunAdhavinOdhini___S___G3_M2__D2_N3S+___G3+_M2+
Now we will look at all the other graha bEdham pairs
valachiS___G3__P_D2N2_S+___G3+__P+_D2+
AbhOgi_______S_R2G2_M1___D2__S+_R2+
 
HamsaDhvaniS_R2_G3__P___N3S+_R2+_G3+__P+__
nAgasvarALi_______S___G3M1_P_D2__S+__
 
bhUpAlamSR1_G2___PD1___S+R1+_G2+___P+D1+_
HamsanAdham_S_R2___M2P___N3S+_R2+___M2+P+_
gambhIranAta________S___G3M1_P___N3S+_
 
karnAtaka shudhDha sAvEriSR1___M1_PD1___S+R1+___M1+_P+D1+_
amRuthavarshiNi_S___G3_M2P___N3S+___G3+_M2+P+_
 
shudhDha HindhOlamS__G2_M1___D2N2_S+__G2+_M1+___D2+
sAvithri_____S___G3M1_P__N2_S+___G3+
 
chandhrakaunsS__G2_M1__D1__N3S+__G2+_M1+__D1+_
samudhrapriyA_____S__G2__M2P__N2_S+__G2+_

Second, we go over to the svara bEdham sets. In this I have deliberately repeated some rAgams under different sets to show the other relations, which may not be found in the tree structure given in the previous page. I have also tried to cover all the relations in that tree, at the same time did not include ALL possible svara bEdhams.

mOHanam
mOHanamS_R2_G3__P_D2__S+
HamsaDhvaniS_R2_G3__P___N3S+
janasammOdhiniS_R2_G3__PD1___S+
vInAvAdhiniS_R2_G3__P__N2_S+
nirOshtaS_R2_G3____D2_N3S+
shivaranjaniS_R2G2___P_D2__S+
shudhDha sAvEriS_R2__M1_P_D2__S+
rasikaranjaniSR1__G3__P_D2__S+
valachiS___G3__P_D2N2_S+
HindhOlam
HindhOlamS__G2_M1__D1_N2_S+
chandhrakaunsS__G2_M1__D1__N3S+
shudhDha HindhOlamS__G2_M1___D2N2_S+
shudhDha dhanyAsiS__G2_M1_P__N2_S+
shudhDha dhanyAsi
shudhDha dhanyAsiS__G2_M1_P__N2_S+
samudhrapriyAS__G2__M2P__N2_S+
sAvithriS___G3M1_P__N2_S+
madhyamAvathiS_R2__M1_P__N2_S+
kunthalavarALiS____M1_P_D2N2_S+
madhyamAvathi
madhyamAvathiS_R2__M1_P__N2_S+
rEvathiSR1___M1_P__N2_S+
shivaranjani
shivaranjaniS_R2G2___P_D2__S+
AbhOgiS_R2G2_M1___D2__S+
chandhrakauns
chandhrakaunsS__G2_M1__D1__N3S+
priyadharshiniS_R2__M1__D1__N3S+
priyadharshini
priyadharshiniS_R2__M1__D1__N3S+
dhEvaranjaniS____M1_PD1__N3S+
sunAdhavinOdhini
sunAdhavinOdhiniS___G3_M2__D2_N3S+
amRuthavarshiNiS___G3_M2P___N3S+
amRuthavarshiNi
amRuthavarshiNiS___G3_M2P___N3S+
HamsanAdhamS_R2___M2P___N3S+
karnAtaka shudhDha sAvEri
karnAtaka shudhDha sAvEriSR1___M1_PD1___S+
bhUpAlamSR1_G2___PD1___S+
rEvagupthiSR1__G3__PD1___S+
rEvagupthi
rEvagupthiSR1__G3__PD1___S+
sallApamSR1__G3___D1_N2_S+
gambhIranAta
gambhIranAtaS___G3M1_P___N3S+
mEgharanjaniSR1__G3M1_____N3S+

sunAdhavinOdhini and HindhOlam

We can compare mOHanam with shivaranjani and continue with shivaranjani's graha bEdham group and get back to HindhOlam. From it you can see what I meant by shifting only shadjam in HindhOlam to get sunAdhavinOdhini, as mentioned in the previous page.

mOHanamS_R2_G3__P_D2__S+_R2+_G3+
shivaranjaniS_R2G2___P_D2__S+_R2+G2+_
rEvathi__SR1___M1_P__N2_S+R1+_
sunAdhavinOdhini___S___G3_M2__D2_N3S+_
HindhOlam____S__G2_M1__D1_N2_S+

More tidbits on other rAgam relations are on a separate page.

Innovations and Discoveries

For the musically inclined with an innovative touch, this kind of analysis can help in looking for and creating new rAgams, which may be very good to listen to. Usually, if a rAgam has well spaced svaras, in terms of frequency ratios and vivadhi notes, their graha bEdhams produce good rAgams too. Not all graha bEdhams of popular rAgams have been exploited. As mentioned earlier, hundreds of audava rAgams are possible, but rAgams that are sung are so little. Add to it vakra pryOgams and addition of anya svaras and there is no limit to how many rAgams can be created. There is so much to experiment, explore and exploit in the universe of Carnatic music.

More research . . . anyone?

I have not worked deeper into the mathematical aspects, like whether all the KNOWN rAgams will turn up in the tree irrespective of the starting rAgam or whether it is dependent on the specific rAgam we start with, etc. If time permits, I plan to get there too. If anyone has done any research along these lines please email me.


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