Concept:
Chronological order means arranging texts from earliest to latest.
Indian music texts developed over a long period, beginning with ancient works like Natya Shastra and continuing through medieval musicological texts.
Step 1: Identify the earliest text.
Natya Shastra is the earliest among the given texts.
So, the first is:
\[
C = \text{Natya Shastra}
\]
Step 2: Place Sangeet Makarand.
Sangeet Makarand comes after Natya Shastra.
So, the second is:
\[
B = \text{Sangeet Makarand}
\]
Step 3: Place Swarmel Kalanidhi.
Swarmel Kalanidhi is a later musicological text.
So, the third is:
\[
A = \text{Swarmel Kalanidhi}
\]
Step 4: Place Sangeet Parijat.
Sangeet Parijat comes after Swarmel Kalanidhi.
So, the fourth is:
\[
D = \text{Sangeet Parijat}
\]
Step 5: Place Rag Tattwa Vibodh.
Rag Tattwa Vibodh is placed after Sangeet Parijat in this sequence.
So, the last is:
\[
E = \text{Rag Tattwa Vibodh}
\]
Step 6: Final arrangement.
The correct chronological order is:
\[
C \rightarrow B \rightarrow A \rightarrow D \rightarrow E
\]
Hence:
\[
\boxed{\text{(C) C, B, A, D, E}}
\]