Simple scheme
S R1 R2 G1 G2 M1 M2 P D1 D2 N1 N2 S
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MELAKARTHA PARENT RAGAMS WILL HAVE
S R G M P D N S
both in ascending and descending travel
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Actually, it is just mathematical.
And so, some of the parent scales have r1 r2, g1 g2, di d2 and n1 n2 in succession. This is not desirable and such scales are known as Vivadi meLas. The number of such Vivadi MeLas is quite large! ( 40 out of 72).
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The great thing about Hindusthani Music is that all its TEN parent scales are non-vivadi!
It may be the reason why HM ragams are more pleasing and emotive.
======================================
A careful analysis of the ragas used by the TRINITY ( Shyama Sastry, Thyagaraja Swami, and Muthuswami Dikshithar, will reveal the fact that most of their songs are based on non-vivadi scales.
Vey few , just as a show of creativity, are based on vivadi-scales.
VARALI and NAATTAI are famous ragams in CM, THOUGH THEY ARE VIVADI SCALES but they are exceptions.
------------------------------
Non-Vivadi scales are shown in bold-blue.
Vivadi scales are shown in light red.
=========================
Thyagaraja Swami had a preference for non-vivadi scales in the first 32 scales ( suddhha Madhyamam) (M1).
Such scales are
TODI
DENUKA
MAYAMALAVAGOWLA
HARIKAMBODHI
KARAHARAPRIYA
SANKARABARANAM
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SHYAMA SASTRI used only about 25 ragams.
and his 70 songs are mostly in Kalyani ( M2-group).
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DIKSHITAR had composed a lot of songs in SANKARABARANAM ( M1 group).
================================
------------------------------------
indu chakra
===========
1) kanakangi
2) ratnangi
3)ganamurthi
4) vanaspathi
5)manavathi
6) tanarupi
============================
netra chakra
============
7)senavathi
8) hanumath thodi
9) denuka
10)natakapriya
11) kokilapriya
12) roopavathi
@@@@@@@@@@@@@@@@@@@
agni chakram
=============
13) gayakapriya
14) vakulabaranam
15) mayamalavagowla
16) chakravakam
17)suryakantham
18) hatakambari
------------------------------
veda chakram
--------------
19) jankaradhvani
20) natabairavi
21) keervani
22) karaharapriya
23) gowrimanohari
24) varunapriya
@@@@@@@@@@@@@@@@@@@@
ana chakra
------------
25) mararanjani
26) charukesi
27) sarasangi
28) harikambodhi
29) sankarabaranam
30) naganandhini
--------------------------------------
rituchakra
----------
31) yagapriya
32) ragavardhini
33) gangeyabooshani
34) vagatheswari
35) shoolini
36) chala naattai
@@@@@@@@@@@@@@@@@
prati madhyamam
*****************
rishi chakram
---------------
37) salagam
38) jalamavam
39) jala varali
40) navaneetham
41) pavani
42) ragupriya
--------------------------------
vasu chakram
-------------
43) gavambodhi
44) bavapriya
45) subapanthuvarali
46) shadvitha margani
47) suvarnanbi
48) divyamani
--------------------------------
===========================
bramma chakra
-------------
49) davalambari
50) namanarayani
51) kamavardhini
52) ramapriya
53) gamanasrama
54) viswambari
-------------------------------------
disi chakra
-----------
55) shamalangi
56) shanmugapriya
57) simmendra madhyamam
58) hemavathi
59) dharmavathi
60) neethimathi
------------------------------------
==============================
rudra chakra
------------
61) kantamani
62) rishbapriya
63) lathangi
64) vachaspathi
65) kalyani
66) chitambari
-------------------------------------
adithyachakra
------------
67) sucharithra
68) jothiswarupini
69) datuvardani
70) nasikabooshani
71) kosalam
72) rasikapriya
============================
@@@@@@@@@@@@@@@
1) kanakangi
2) ratnangi
3)ganamurthi
4) vanaspathi
5)manavathi
6) tanarupi
37) salagam
38) jalamavam
39) jala varali
40) navaneetham
41) pavani
42) ragupriya
7)senavathi
8) hanumath thodi
9) denuka
10)natakapriya
11) kokilapriya
12) roopavathi
43) gavambodhi
44) bavapriya
45) subapanthuvarali
46) shadvitha margani
47) suvarnanbi
48) divyamani
13) gayakapriya
14) vakulabaranam
15) mayamalavagowla
16) chakravakam
17)suryakantham
18) hatakambari
49) davalambari
50) namanarayani
51) kamavardhini
52) ramapriya
53) gamanasrama
54) viswambari
19) jankaradhvani
20) natabairavi
21) keervani
22) karaharapriya
23) gowrimanohari
24) varunapriya
55) shamalangi
56) shanmugapriya
57) simmendra
madhyamam
58) hemavathi
59) dharmavathi
60) neethimathi
25) mararanjani
26) charukesi
27) sarasangi
28) harikambodhi
29) sankarabaranam
30) naganandhini
61) kantamani
62) rishbapriya
63) lathangi
64) vachaspathi
65) kalyani
66) chitambari
31) yagapriya
32) ragavardhini
33) gangeyabooshani
34) vagatheswari
35) shoolini
36) chala naattai
67) sucharithra
68) jothiswarupini
69) datuvardani
70) nasikabooshani
71) kosalam
72) rasikapriya