दशा-गहना

Daśā-Gahanā

Jaimini-daśā-gahanā · Mahā · Antara · Pratyantara · Sūkṣma

Jaimini-Sūtra 2.1.4 · चर-स्थिर-नारायण-त्रिकम् · 12⁴ = 20,736 sūkṣma-nodes per system
P77दशा-गहन-गणनाdaśā-gahana-gaṇanā

Liberation-tower exponent ord_R(-g) = 3^(k-1): the 4-level nested daśā produces 12⁴ = 20,736 nodes — power-tower expansion matching the 3-adic liberation count at k=4.

सम्बन्धम्Related propositions:P229
प्रमाणितम्Verifications:4-level cascade

Reference instant — Maa Kāmākhyā meridian, 1990-01-01 06:00 IST. Compute your own at /chart. The four-level tree expands up to 12⁴ = 20,736 sūkṣma-nodes per system — collapsed by default for legibility.

DAŚĀ-AVALOKANAM · Interactive Explorer
प्रणाली-चयनम् · गहनता-चयनम् · संश्लेषितं वृक्षम्Select system · select depth · expand the nested tree
जैमिनि-दशा-अवलोकनम्
Click a system + depth, then expand any mahā/antara node
दशा-प्रणाली-चयनम् · Select daśā system
गहनता-चयनम् · Select depth
चर-दशा
Chara-daśā
82.0 y total
depth = 2
mahā × 12 sub-periods total
Jaimini-Sūtra 2.1.1–28 · Jaimini-Sūtra 2.1.4 (proportional rule)
L1 · Mahā-daśāमिथुनMithuna1990-01-011996-12-317.00 y
L2 · Antara-daśāमिथुनMithuna1990-01-011990-08-077.17 mo
L2 · Antara-daśāकर्कKarka1990-08-071991-03-137.17 mo
L2 · Antara-daśāसिंहSiṃha1991-03-131991-07-164.10 mo
L2 · Antara-daśāकन्याKanyā1991-07-161991-11-174.10 mo
L2 · Antara-daśāतुलाTulā1991-11-171992-02-193.07 mo
L2 · Antara-daśāवृश्चिकVṛścika1992-02-191993-02-271.02 y
L2 · Antara-daśāधनुष्Dhanus1993-02-271993-09-026.15 mo
L2 · Antara-daśāमकरMakara1993-09-021994-08-1111.27 mo
L2 · Antara-daśāकुम्भKumbha1994-08-111995-06-1910.24 mo
L2 · Antara-daśāमीनMīna1995-06-191995-09-213.07 mo
L2 · Antara-daśāमेषMeṣa1995-09-211996-04-267.17 mo
L2 · Antara-daśāवृषभVṛṣabha1996-04-261996-12-318.20 mo
L1 · Mahā-daśāकर्कKarka1996-12-312004-01-017.00 y
L2 · Antara-daśāमिथुनMithuna1996-12-311997-08-077.17 mo
L2 · Antara-daśāकर्कKarka1997-08-071998-03-137.17 mo
L2 · Antara-daśāसिंहSiṃha1998-03-131998-07-164.10 mo
L2 · Antara-daśāकन्याKanyā1998-07-161998-11-174.10 mo
L2 · Antara-daśāतुलाTulā1998-11-171999-02-193.07 mo
L2 · Antara-daśāवृश्चिकVṛścika1999-02-192000-02-281.02 y
L2 · Antara-daśāधनुष्Dhanus2000-02-282000-09-026.15 mo
L2 · Antara-daśāमकरMakara2000-09-022001-08-1111.27 mo
L2 · Antara-daśāकुम्भKumbha2001-08-112002-06-1910.24 mo
L2 · Antara-daśāमीनMīna2002-06-192002-09-203.07 mo
L2 · Antara-daśāमेषMeṣa2002-09-202003-04-277.17 mo
L2 · Antara-daśāवृषभVṛṣabha2003-04-272004-01-018.20 mo
L1 · Mahā-daśāसिंहSiṃha2004-01-012008-01-014.00 y
L2 · Antara-daśāमिथुनMithuna2004-01-012004-05-054.10 mo
L2 · Antara-daśāकर्कKarka2004-05-052004-09-074.10 mo
L2 · Antara-daśāसिंहSiṃha2004-09-072004-11-172.34 mo
L2 · Antara-daśāकन्याKanyā2004-11-172005-01-272.34 mo
L2 · Antara-daśāतुलाTulā2005-01-272005-03-221.76 mo
L2 · Antara-daśāवृश्चिकVṛścika2005-03-222005-10-217.02 mo
L2 · Antara-daśāधनुष्Dhanus2005-10-212006-02-053.51 mo
L2 · Antara-daśāमकरMakara2006-02-052006-08-206.44 mo
L2 · Antara-daśāकुम्भKumbha2006-08-202007-02-145.85 mo
L2 · Antara-daśāमीनMīna2007-02-142007-04-091.76 mo
L2 · Antara-daśāमेषMeṣa2007-04-092007-08-124.10 mo
L2 · Antara-daśāवृषभVṛṣabha2007-08-122008-01-014.68 mo
L1 · Mahā-daśāकन्याKanyā2008-01-012012-01-014.00 y
L2 · Antara-daśāमिथुनMithuna2008-01-012008-05-054.10 mo
L2 · Antara-daśāकर्कKarka2008-05-052008-09-074.10 mo
L2 · Antara-daśāसिंहSiṃha2008-09-072008-11-172.34 mo
L2 · Antara-daśāकन्याKanyā2008-11-172009-01-272.34 mo
L2 · Antara-daśāतुलाTulā2009-01-272009-03-221.76 mo
L2 · Antara-daśāवृश्चिकVṛścika2009-03-222009-10-217.02 mo
L2 · Antara-daśāधनुष्Dhanus2009-10-212010-02-053.51 mo
L2 · Antara-daśāमकरMakara2010-02-052010-08-206.44 mo
L2 · Antara-daśāकुम्भKumbha2010-08-202011-02-145.85 mo
L2 · Antara-daśāमीनMīna2011-02-142011-04-091.76 mo
L2 · Antara-daśāमेषMeṣa2011-04-092011-08-124.10 mo
L2 · Antara-daśāवृषभVṛṣabha2011-08-122012-01-014.68 mo
L1 · Mahā-daśāतुलाTulā2012-01-012015-01-013.00 y
L2 · Antara-daśāमिथुनMithuna2012-01-012012-04-043.07 mo
L2 · Antara-daśāकर्कKarka2012-04-042012-07-063.07 mo
L2 · Antara-daśāसिंहSiṃha2012-07-062012-08-291.76 mo
L2 · Antara-daśāकन्याKanyā2012-08-292012-10-211.76 mo
L2 · Antara-daśāतुलाTulā2012-10-212012-11-301.32 mo
L2 · Antara-daśāवृश्चिकVṛścika2012-11-302013-05-105.27 mo
L2 · Antara-daśāधनुष्Dhanus2013-05-102013-07-292.63 mo
L2 · Antara-daśāमकरMakara2013-07-292013-12-234.83 mo
L2 · Antara-daśāकुम्भKumbha2013-12-232014-05-054.39 mo
L2 · Antara-daśāमीनMīna2014-05-052014-06-141.32 mo
L2 · Antara-daśāमेषMeṣa2014-06-142014-09-163.07 mo
L2 · Antara-daśāवृषभVṛṣabha2014-09-162015-01-013.51 mo
L1 · Mahā-daśāवृश्चिकVṛścika2015-01-012027-01-0112.00 y
L2 · Antara-daśāमिथुनMithuna2015-01-012016-01-101.02 y
L2 · Antara-daśāकर्कKarka2016-01-102017-01-181.02 y
L2 · Antara-daśāसिंहSiṃha2017-01-182017-08-207.02 mo
L2 · Antara-daśāकन्याKanyā2017-08-202018-03-227.02 mo
L2 · Antara-daśāतुलाTulā2018-03-222018-08-295.27 mo
L2 · Antara-daśāवृश्चिकVṛścika2018-08-292020-06-011.76 y
L2 · Antara-daśāधनुष्Dhanus2020-06-012021-04-1710.54 mo
L2 · Antara-daśāमकरMakara2021-04-172022-11-261.61 y
L2 · Antara-daśāकुम्भKumbha2022-11-262024-05-141.46 y
L2 · Antara-daśāमीनMīna2024-05-142024-10-215.27 mo
L2 · Antara-daśāमेषMeṣa2024-10-212025-10-301.02 y
L2 · Antara-daśāवृषभVṛṣabha2025-10-302027-01-011.17 y
L1 · Mahā-daśāधनुष्Dhanus2027-01-012033-01-016.00 y
L2 · Antara-daśāमिथुनMithuna2027-01-012027-07-076.15 mo
L2 · Antara-daśāकर्कKarka2027-07-072028-01-106.15 mo
L2 · Antara-daśāसिंहSiṃha2028-01-102028-04-263.51 mo
L2 · Antara-daśāकन्याKanyā2028-04-262028-08-113.51 mo
L2 · Antara-daśāतुलाTulā2028-08-112028-10-302.63 mo
L2 · Antara-daśāवृश्चिकVṛścika2028-10-302029-09-1610.54 mo
L2 · Antara-daśāधनुष्Dhanus2029-09-162030-02-235.27 mo
L2 · Antara-daśāमकरMakara2030-02-232030-12-149.66 mo
L2 · Antara-daśāकुम्भKumbha2030-12-142031-09-078.78 mo
L2 · Antara-daśāमीनMīna2031-09-072031-11-272.63 mo
L2 · Antara-daśāमेषMeṣa2031-11-272032-06-016.15 mo
L2 · Antara-daśāवृषभVṛṣabha2032-06-012033-01-017.02 mo
L1 · Mahā-daśāमकरMakara2033-01-012044-01-0111.00 y
L2 · Antara-daśāमिथुनMithuna2033-01-012033-12-1011.27 mo
L2 · Antara-daśāकर्कKarka2033-12-102034-11-1811.27 mo
L2 · Antara-daśāसिंहSiṃha2034-11-182035-06-026.44 mo
L2 · Antara-daśāकन्याKanyā2035-06-022035-12-146.44 mo
L2 · Antara-daśāतुलाTulā2035-12-142036-05-094.83 mo
L2 · Antara-daśāवृश्चिकVṛścika2036-05-092037-12-181.61 y
L2 · Antara-daśāधनुष्Dhanus2037-12-182038-10-089.66 mo
L2 · Antara-daśāमकरMakara2038-10-082040-03-301.48 y
L2 · Antara-daśāकुम्भKumbha2040-03-302041-08-021.34 y
L2 · Antara-daśāमीनMīna2041-08-022041-12-274.83 mo
L2 · Antara-daśāमेषMeṣa2041-12-272042-12-0511.27 mo
L2 · Antara-daśāवृषभVṛṣabha2042-12-052044-01-011.07 y
L1 · Mahā-daśāकुम्भKumbha2044-01-012054-01-0110.00 y
L2 · Antara-daśāमिथुनMithuna2044-01-012044-11-0810.24 mo
L2 · Antara-daśāकर्कKarka2044-11-082045-09-1610.24 mo
L2 · Antara-daśāसिंहSiṃha2045-09-162046-03-135.85 mo
L2 · Antara-daśāकन्याKanyā2046-03-132046-09-075.85 mo
L2 · Antara-daśāतुलाTulā2046-09-072047-01-194.39 mo
L2 · Antara-daśāवृश्चिकVṛścika2047-01-192048-07-061.46 y
L2 · Antara-daśāधनुष्Dhanus2048-07-062049-03-318.78 mo
L2 · Antara-daśāमकरMakara2049-03-312050-08-031.34 y
L2 · Antara-daśāकुम्भKumbha2050-08-032051-10-221.22 y
L2 · Antara-daśāमीनMīna2051-10-222052-03-044.39 mo
L2 · Antara-daśāमेषMeṣa2052-03-042053-01-1010.24 mo
L2 · Antara-daśāवृषभVṛṣabha2053-01-102054-01-0111.71 mo
L1 · Mahā-daśāमीनMīna2054-01-012057-01-013.00 y
L2 · Antara-daśāमिथुनMithuna2054-01-012054-04-043.07 mo
L2 · Antara-daśāकर्कKarka2054-04-042054-07-073.07 mo
L2 · Antara-daśāसिंहSiṃha2054-07-072054-08-291.76 mo
L2 · Antara-daśāकन्याKanyā2054-08-292054-10-221.76 mo
L2 · Antara-daśāतुलाTulā2054-10-222054-12-011.32 mo
L2 · Antara-daśāवृश्चिकVṛścika2054-12-012055-05-105.27 mo
L2 · Antara-daśāधनुष्Dhanus2055-05-102055-07-302.63 mo
L2 · Antara-daśāमकरMakara2055-07-302055-12-244.83 mo
L2 · Antara-daśāकुम्भKumbha2055-12-242056-05-054.39 mo
L2 · Antara-daśāमीनMīna2056-05-052056-06-141.32 mo
L2 · Antara-daśāमेषMeṣa2056-06-142056-09-163.07 mo
L2 · Antara-daśāवृषभVṛṣabha2056-09-162057-01-013.51 mo
L1 · Mahā-daśāमेषMeṣa2057-01-012064-01-017.00 y
L2 · Antara-daśāमिथुनMithuna2057-01-012057-08-077.17 mo
L2 · Antara-daśāकर्कKarka2057-08-072058-03-137.17 mo
L2 · Antara-daśāसिंहSiṃha2058-03-132058-07-164.10 mo
L2 · Antara-daśāकन्याKanyā2058-07-162058-11-184.10 mo
L2 · Antara-daśāतुलाTulā2058-11-182059-02-193.07 mo
L2 · Antara-daśāवृश्चिकVṛścika2059-02-192060-02-281.02 y
L2 · Antara-daśāधनुष्Dhanus2060-02-282060-09-026.15 mo
L2 · Antara-daśāमकरMakara2060-09-022061-08-1111.27 mo
L2 · Antara-daśāकुम्भKumbha2061-08-112062-06-1910.24 mo
L2 · Antara-daśāमीनMīna2062-06-192062-09-213.07 mo
L2 · Antara-daśāमेषMeṣa2062-09-212063-04-277.17 mo
L2 · Antara-daśāवृषभVṛṣabha2063-04-272064-01-018.20 mo
L1 · Mahā-daśāवृषभVṛṣabha2064-01-012072-01-028.00 y
L2 · Antara-daśāमिथुनMithuna2064-01-012064-09-078.20 mo
L2 · Antara-daśāकर्कKarka2064-09-072065-05-148.20 mo
L2 · Antara-daśāसिंहSiṃha2065-05-142065-10-044.68 mo
L2 · Antara-daśāकन्याKanyā2065-10-042066-02-234.68 mo
L2 · Antara-daśāतुलाTulā2066-02-232066-06-103.51 mo
L2 · Antara-daśāवृश्चिकVṛścika2066-06-102067-08-121.17 y
L2 · Antara-daśāधनुष्Dhanus2067-08-122068-03-137.02 mo
L2 · Antara-daśāमकरMakara2068-03-132069-04-091.07 y
L2 · Antara-daśāकुम्भKumbha2069-04-092070-03-3111.71 mo
L2 · Antara-daśāमीनMīna2070-03-312070-07-163.51 mo
L2 · Antara-daśāमेषMeṣa2070-07-162071-03-228.20 mo
L2 · Antara-daśāवृषभVṛṣabha2071-03-222072-01-029.37 mo
▸ click any node to expand its sub-periods · the running mahā at today's JD is highlighted and auto-opened to depth 2
VIDHĀNA · The Proportional Rule (Jaimini-Sūtra 2.1.4)
अनुपात-निर्धारणम्
Each sub-period inherits the rāśi sequence at its parent's share

For a parent period covering duration D, the child sub-periods traverse the SAME 12-rāśi sequence as the mahā, each rāśi taking a share proportional to its mahā-level year quantum:

duration(childi) = D · ( yearsi / Σ years )

At depth 4 (sūkṣma), each top-level mahā contains 12³ = 1,728 sūkṣma-nodes, and the full tree has 12⁴ = 20,736 leaves. The substrate's (ℤ/12ℤ) ring is the algebraic ground of this recursion — derivation tag (iii) period determination.

Jaimini-Sūtra Upadeśa 2.1.4 (proportional sub-period rule)
स्व-दशा-दर्शनम्See your own 4-level Jaimini timeline

Cast your birth chart at /chart. The full 4-level expansion is included for Chara, Sthira, and Nārāyaṇa.

ॐ जैमिनये नमः · ॐ कालाय नमः
VAJRA-ABSOLUTE · APEX v5 · JAI MAA KAMAKHYA