I am watching the TMK lectures ( CMI Arts Initiative Oct-Nov 2012) on youtube:
https://www.youtube.com/user/TheCMIVideos
What he discusses there in the initial set of lectures seems to be related to this issue here. I know we spend a lot of time on terminology, so let us see if TMK's ideas on normalizing that is agreeable to people here. We can then talk about 'Suddha' for each one of them.
1. Sruthi - AdhAra Shadja ( say 1 kattai in the 3rd register (C3) - 130.813 Hz)
2. Swarasthana - A specific point in the octave as per the tuning system chosen relative to the AdhAra. ( For the above Sa, 174.417 is the Suddha Madhyamam )
3. Swara - The melodic concept/idea that is not fixed to a single frequency. Refers to the embodiment of all the gamakas with all the context specific characterization. TMK insists on treating this as a concept by itself and not as something like 'Swara is swarasthana with gamaka of you apply gamaka to the swarasthana to get swara' which are the popular notions. So the swara 'Ma' is many things depending on the context of a raga. The swarasthana happens to be one of them but that is just incidental.
In this view, swara is a purely musical/melodic idea.
In the spectrum of what a particular Swara is, the swarasthana can be at one end, the other end, or the middle or even more interestingly the swarasthana is not even there in any meaningful form. The easy example of the last one is the 'darbar Ga' or probably even the' Thodi Ga or Kanada Ga'.
I think this terminology distinction is very useful to have. This way, we can hang our often debated topics on a proper framework. For example, the 22 sruthis debate is in the domain of items 1 and 2 and not necessarily item 3. When people say there are '6 different Mas', they are not necessarily talking about Swarasthana (item 2) but definitely they are talking about swara ( item 3 ).
These are nothing new for most of us, but laying out this distinction and using the terms properly and consistently helps the discussion and clarify matters enormously.
And we can talk about 'Suddha' ( the main topic of this thread ) in a deliberate and specific manner.
a. Shruthi Suddha - ( are you aligned to the AdhAra Shadja through out the singing )
b. Swarasthana Suddha - ( where the swara happens to coincide with the swarasthana, are you at the right position in the octave? )
c. Swara Suddha ( Are you executing the Swaras, in all its gamaka glory, whose sounds are within the normally accepted set for that raga )
While 1 and 2 ( or a and b above ) are easily mathematically treated, item 3 (swara) is more involved and probably should be considered outside the domain of analysis/science and be treated as part of the art form. Though it is possible to trace the contours in terms of frequencies etc. that is only one aspect of what a 'Swara' is. Swara also includes how individuals perceive it which includes non-technical things like psychological conditioning, emotional response etc. This is probably the distinction vallknowme is trying to make.
This psychological conditioning can actually involve perceiving swaras that are not even voiced ( there was an interesting example of that in his lecture where an audience member heard Charukesi when TMK did not sing Charukesi exclusively though he had Charukesi in mind! Really! ). And a more mundane example of the psychological conditioning as a culture is the famous example of how kampita gamaka ( oscillation ) is enjoyed by CM folks and considered out of sruthi by many others.
So sruthi is a much wider concept and it is in the domain of arts which form the basis/stepping stone for talking about what a raga is which is even more removed from science and deep into the musical/melodic art form.
Now, we can ask two questions:
What is 'swara suddha'?
What is 'raga suddha'?
Answer is not quite easy. The first level answer is of course 'if the musician is within the bounds of what is normally accepted set of gamakas of the swaras of the raga'. That is a technical answer and while it is not wrong, it is not sufficient since it leaves out the perception by the listener. Our brain is a quite complicated and wonderful thing and it adjusts/compensates/reinterprets things on the fly. ( strictly a side bar here: Uday said in a different thread about Graha Beda that how we perceive a change in raga seems to be based on the swara patters that are unique to the 'new' raga even if we do not temporarily change the Aadhara Shadja etc. Hope I did not misunderstand what Uday said. If it is not relevant to the idea here, please ignore this side bar, we will pick it back up in a different context ).
So given this, swara suddha/raga suddha is a complicated matter and it may explain why CM fans are tolerant of some deviations while other fans may not. CM fans may be instinctively looking for that musical idea that swara and swara sequences are, and their brains ( due to conditioning ) can be quite greedy in forming those ideas even if they are not technically perfect at the sruthi and swarasthana level.
It leads to an intriguing idea that even in the midst of some small deviations in sruthi and swarasthana, swara/raga can still be in tact in the musician's mind and more importantly in the audience's mind.