There exists one perfect , coherent circle which includes Bhavapriya ( mela 44 ) but excludes Bhairav which is mostly seen as the odd one in the graphic representations . Bhavapriya has one note different from Bhairavi and Todi .
https://www.frontiersin.org/articles/10.3389/fpsyg.2017.02115/full
Figure 1 from this page .
https://wholisticwellnessspace.wordpress.com/2022/04/16/thaats/
Interesting observations from here :
" Bhairav thaat [rGmdN] is an outlier in this schema – it does not really fall neatly on either side between Kalyan and Bhairavi thaats.
--- Eight thaats pair up in four mirror images of each other (the svar that is tivra in one is komal in the other):
Kalyan [RGMDN] and Bhairavi [rgmdn];
Marwa [rGMDN] and Asavari [Rgmdn];
Poorvi [rGMdN] and Kafi [RgmDn];
Todi [rgMdN] and Khamaj [RGmDn].
--- Bilawal [RGmDn] and Bhairav [rGmDN] are orphans; they are unpaired thaats. This schema is unsymmetrical and there must be a way to restore symmetry to it. We could either add two new thaats, [rgMdn] and [RgMDn], to create pairs for Bilawal and Bhairav and get to 12, a number much more amenable to symmetrical divisions."
In my own attempts I had included Vakulabharanam and Dhenuka as connecting melas .
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