Skanda Purana — Avanti Khanda, Shloka 48
स्वरूपमास्थितो देवः प्राप हास्यं यतो भुवि । नर्मदा तेन चोक्तेयं सुशीतलजला शिवा
svarūpamāsthito devaḥ prāpa hāsyaṃ yato bhuvi | narmadā tena cokteyaṃ suśītalajalā śivā
主が自らの真の姿に安住しつつ、この地上に笑いを起こされたゆえに、彼女はナर्मダー（Narmadā）と呼ばれる。吉祥なるシヴァ（Śivā）にして、水はことのほか清涼である。
Mārkaṇḍeya (narrating; preserving Śiva’s naming rationale)
Tirtha: Narmadā (Revā)
Type: kshetra
Scene: Śiva, steady in his own form, causes a wave of laughter to ripple across the earth; beside him the river-goddess Narmadā appears as ‘Śivā’, her waters rendered crystalline and cool.
FAQs
The tīrtha embodies Śiva’s auspiciousness—its very qualities (cool, beneficent waters) are framed as divine grace for the world.
The Narmadā river-tīrtha is praised for its auspicious nature and cooling waters, signaling its sanctity for pilgrimage and bathing.
Not explicit, but the emphasis on the river’s waters implicitly supports snāna (holy bathing) as a purifying practice.