What is the distance of 'Rishabh' swara from 'Meru' on the wire of Veena according to Ahobal ?

Question

Accepted Answer

The correct option is 1:
The answer is 4 Inch, based on the musicological principles outlined by Pt. Ahobal in his treatise *Sangita Parijatha*. Ahobal was the first North Indian music scholar to precisely determine the positions of all twelve *swaras* (notes) on the *Rudra Veena* string using a definite length measurement, typically standardized at 36 inches from the main bridge (*Guraj*) to the string-holder (*Meru*). The fundamental note, *Shadaj* (Sa), is produced when the full 36-inch wire vibrates. To produce the next note, *Shuddha Rishabh* (Ri), the effective vibrating length must be shortened. According to Ahobal's precise calculations—which placed the *Shuddha Rishabh* on the 32-inch mark from the *Guraj*—the distance of the *Rishabh* fret from the *Meru* (the zero-point of the full 36-inch length) is the difference between the full length and the Rishabh length: 36 inches minus 32 inches equals **4 inches**. This distance marks the precise location of the fret on the fingerboard.

The incorrect option is 2 (18 Inch):
This measurement is universally recognized as the position for the *Taar Shadaj* (upper octave Sa), not *Rishabh*. In the 36-inch model used by Ahobal and later theorists like Srinivas, halving the string length from 36 inches yields exactly 18 inches, which acoustically produces the Sa note one octave higher. This position is a core concept in defining the octave relationship (*Sa-Sa'*) and is positioned precisely in the middle of the string. The *Rishabh* swara would be located closer to the *Sa* position at the *Meru* end of the string, not at the midpoint.

The incorrect option is 3 (24 Inch):
The position at 24 inches on the 36-inch wire does not correspond to *Rishabh*. Instead, 24 inches is the exact point for the *Pancham* (Pa) swara. This note is the perfect fifth above *Shadaj* (Sa), and its position is derived from the fundamental acoustic law that a string length reduced to 2/3 of its original length ($36 \times 2/3 = 24$) produces a perfect fifth. Since *Pancham* is a higher note than *Rishabh*, its string length is shorter, which logically makes 24 inches incorrect for *Rishabh*.

The incorrect option is 4 (32 Inch):
While 32 inches is a crucial measurement in Ahobal's system, it represents the *actual vibrating length* of the string from the main bridge (*Guraj*) required to produce the *Rishabh* (Ri) swara. The question, however, asks for the distance of the swara position *from the Meru* (the end string holder), not the length of the string required to sound the note. Since the total string length is 36 inches, the distance of the fret *from the Meru* is the remaining length, which is 4 inches, making 32 inches the distance *from the Guraj* and thus incorrect for the distance *from the Meru*.