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Narada Purana (Jyotisha Selections) · by Vyasa
Chapter 1 · Basics and Panchanga
ज्योतिषमूलं पञ्चाङ्गं च
तिथयः शुक्लप्रतिपदो द्विघ्नाः सैका न गाहताः ।शेषं बवो बालवश्च कौलवस्तैतिलो गरः ॥ १२६ ॥
In the full Narada Purana (Purva Bhaga) this is chapter 54, verse 126.
Take the tithis (moon days) passed from the bright pratipada. Double them and add one. Divide by 7. The remainder gives the karanas Bava, Balava, Kaulava, Taitila and Gara.
Simple meaning: Count tithis from the first of the bright half, double, add one, divide by 7. The remainder names the karana.
वणिजोभ्रे भवेद्विष्टिः कृष्णभूतापरार्द्धतः ।
After Vanija comes Vishti. Four fixed karanas fall from the last half of the dark 14th.
ग्रहोदयाः प्राणहताः खखाष्टैकोद्धता गतिः ।
A planet's own day-and-night length comes from its daily motion and its sign's rising time.
त्रिभद्युकर्णार्द्धगुणा स्वाहोरात्रार्द्धभाजिताः ।
A sine rule gives the equator rising points of the first three signs.