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Narada Purana (Jyotisha Selections) · by Vyasa
Chapter 6 · Calendar, Muhurta Elements
कालमानं मुहूर्ताङ्गानि च
रात्रौ चन्द्रवती राकाप्यमावास्या तथा द्विधा ।सिनीवाली चेंदुमती कुहूर्नेंदुमती मता ॥ १४६ ॥
In the full Narada Purana (Purva Bhaga) this is chapter 56, verse 146.
The full moon with the Moon at night is Chandravati, also called Raka. The new moon is likewise of two kinds. Sinivali is the one with the Moon. Kuhu is the one without the Moon.
Simple meaning: A full moon at night is Raka. A new moon with a trace of Moon is Sinivali, without it Kuhu.
कार्तिके शुक्लनवमी त्वादिः कृतयुगस्य च ।
The Krita age begins on the bright 9th of Kartika, and the Treta age on the bright 3rd of Vaishakha.
कृष्णा पंचदशी माघे द्वापरादिमुदीरिता ।
The Dvapara age begins on the dark new moon of Magha, and a kalpa on the dark 13th of Nabhasya.
द्वादश्यूर्जे शुक्लपक्षे नवम्यच्छेश्वयुज्यपि ।
More holy days: bright 12th in Urja and bright 9th in Ashvina. The bright 3rd of Chaitra and Bhadrapada is called Shukla.