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Are there some text (specially tantras, agamas, nigamas, others) which explain how to count tithi in a different way to Vedic Jyotish?

Traditionally, fortnight start day after purnima (full moon) or amavasya (new moon). So certain dates as Vasant Panchami, should fall on day 5 after amavasya (it would be, amavasya, then day 1, then day 2, day 3, day 4, panchami), or ekadasi should fall on day 11 after full or new moon (purnima, then day 1, day 2, day 3, 4,5,6,7,8,9,10, ekadasi).

But once, I heard that, the counting should start from purnima (or amavasya) itself, so according to that, Vasant Panchami should be: amavasya, then day 2, day 3, 4, panchami (1 day before than traditional). And same with ekadasi of course.

Is there some scripture explaining this?

For example ISKCON has a very profound way to calculate ekadasi, because fasting on dashami is considered very very inauspicious, and they have a lot of regulation as to how the proper day should be calculated . But they count in the traditional way. Counting in this yogic way I'm asking, ekadashi would fall on ISKCON's dashami.

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    What is Tantrik Yoga? By Yoga are u meaning that Yoga which is one of the Panchangas?
    – Rickross
    Feb 16, 2018 at 6:00
  • @Rickross I meaning yoga system, but tantrik, like Nath Sampradaya Yoga, or Saiva Siddhanta, or Trika, etc. Maybe I should edit my question? "how to properly count tithi acording to tantras, agamas, nigamas" ??
    – Indra
    Feb 16, 2018 at 11:34
  • There are no such diverse systems of Yoga..If i sit in the Padmasana posture then by that i am not converting myself to a Tantric or a Vaidik or whatever.. These postures are the same irrespective of anything.. This is about Hatha YOga..same for higher forms of Yoga.. BTW it's the Tantric scriptures only where Yoga has been extensively dealt with..
    – Rickross
    Feb 16, 2018 at 15:26
  • @Rickross Ok, then, can you answer here?
    – Indra
    Feb 17, 2018 at 14:13
  • I do not know how to answer that Q.. and this is actually the first time i have ever seen someone discriminating Yoga like that.. Yoga is the same.. Eventually it means the union of Jivatman with the Paramatman..And, while other scriptures have just hinted about it the Tantric scriptures have dealt with it thoroughly.
    – Rickross
    Feb 17, 2018 at 15:34

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