Truti - Biblioteka.sk

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Truti
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Hindu units of time are described in Hindu texts ranging from microseconds to trillions of years, including cycles of cosmic time that repeat general events in Hindu cosmology.[1][2] Time (kāla) is described as eternal.[3] Various fragments of time are described in the Vedas, Manusmriti, Bhagavata Purana, Vishnu Purana, Mahabharata, Surya Siddhanta etc.[4][5][6]

Sidereal metrics

Hindu measurements in logarithmic scale based on seconds

Sidereal astrology maintains the alignment between signs and constellations via corrective systems of Hindu (Vedic)-origin known as ayanamsas (Sanskrit: 'ayana' "movement" + 'aṃśa' "component"), to allow for the observed precession of equinoxes, whereas tropical astrology ignores precession.[7] This has caused the two systems, which were aligned around 2,000 years ago, to drift apart over the centuries.[7][8]

Ayanamsa systems used in Hindu astrology (also known as Vedic astrology) include the Lahiriayanamsa and the Raman ayanamsa.[9] The Fagan-Bradley ayanamsa is an example of an ayanamsa system used in Western sidereal astrology.[9] As of 2020, zodiacal signs calculated using the Sri Yukteswar ayanamsa were around 23 degrees behind tropical zodiacal signs.[7] Per these calculations, persons born between March 12 - April 12, for instance, would have the sun sign of Pisces.[7] By contrast, persons born between March 21 - April 19 would have the sun sign of Aries per tropical calculations.[10]

Sidereal Units:[11][failed verification]

Unit Definition Value in SI units
truti (त्रुटि) base unit ≈ 300 ns
renu (रेणु) 60 truti ≈ 18 μs
lava (लव) 60 renu ≈ 1,080 μs
līkṣaka (लीक्षक) 60 lava ≈ 64.8 ms
liptā(लिप्ता) 6 līkṣaka ≈ 0.3888 s
vipala (विपल)
prāṇa[12]

(प्राण)

10 liptā ≈ 3.888 s
pala (पल) 60 liptā or 6 prāṇa ≈ 24 s
vighaṭi (विघटि)
vināḍī (विनाडी)
ghaṭi (घटि) 60 vighaṭi ≈ 1.44 ks (24 min)
nādī (नाडी)
danda (दण्ड)
muhūrta (मुहूर्त) 2 ghaṭi ≈ 2.88 ks (48 min)
nakṣhatra ahorātram
(sidereal day; नक्षत्र अहोरात्रम्)
60 ghaṭī ≈ 86.4 ks (24 h)
30 muhūrta

According to Sūrya Siddhānta:[13][14]

Unit Definition Value in SI units
truti base unit ≈ 29.6 μs
tatpara 100 truti ≈ 2.96 ms
nimesha 30 tatpara ≈ 88.9 ms
kāṣṭhā 18 nimesha ≈ 1.6 s
kalā 30 kāṣṭhā ≈ 48 s
ghatika 30 kalā ≈ 1.44 ks (24 min)
muhūrta (kṣaṇa) 2 ghatika ≈ 2.88 ks (48 min)
ahorātram
(sidereal day)
30 muhūrta ≈ 86.4 ks (24 h)

Small units of time used in the Vedas:[15][16]

Unit Definition Value in SI units
paramāṇu base unit ≈ 26.3 μs
aṇu 2 paramāṇu ≈ 52.67 μs
trasareṇu 3 aṇu ≈ 158 μs
truṭi 3 trasareṇu ≈ 474 μs
vedha 100 truṭi ≈ 47.4 ms
lava 3 vedha ≈ 0.14 s
nimeṣa 3 lava ≈ 0.43 s
kṣaṇa 3 nimeṣa ≈ 1.28 s
kāṣṭhā 5 kṣaṇa ≈ 6.4 s
laghu 15 kāṣṭhā ≈ 96 s (1.6 min)
danda (nadika) 15 laghu ≈ 1.44 ks (24 min)
muhūrta 2 danda ≈ 2.88 ks (48 min)
ahorātram
(sidereal day)
30 muhūrta ≈ 86.4 ks (24 h)
masa (month) 30 ahorātram ≈ 2,592 ks
ritu (season) 2 masa ≈ 5,184 ks
ayana 3 ritu ≈ 15,552 ks (6 mth)
samvatsara (year) 2 ayana ≈ 31,104 ks
ahorātram of Deva

Lunar metrics

The traditional lunar calendar system measures time based on the Moon's phases and its relation to the Sun. Unlike solar calendars, it uses units such as tithi (lunar day), pakṣa (lunar fortnight), māsa (lunar month), ṛitu (season), ayanam (half-year), and varsha (lunar year) to structure the year.[17] This system was integral to ancient cultures for tracking time, planning festivals, and guiding agricultural practices. The following section provides an overview of these key time units and their relationships:[18][19]

Unit Definition Equivalence
tithi (lunar day) Time for 12° increase of longitudinal angle between Moon and Sun ≈ 1 day (varies 19–26 hours)
pakṣa (lunar fortnight) 15 tithis ≈ 15 days
māsa (lunar month) 2 pakṣas: gaura (bright) or śukla pakṣa during waxing moon; kṛṣṇa (dark) pakṣa during waning moon ≈ 30 days (29.5 days)
ṛitu (season) 2 māsas ≈ 60 days
ayanam 3 ṛitus ≈ 180 days
varsha (lunar year) 2 ayanams ≈ 360 days (354.36707 days)

Tropical metrics

Tropical metrics are time units used to measure intervals based on the tropical year and related cycles. This system includes units such as ghaṭi (base unit), yāma (a period of 7.5 ghaṭis), and ahorātram (a full day comprising 8 yāmas).[20] The following section explains these units and their approximate durations, offering insight into how time is organized in relation to the tropical year:[21][a]

Unit Definition Equivalence
ghaṭi (घटि) base unit ≈ 24 minutes
yāma (याम) 7.5 ghaṭis ≈ 3 hours
ahorātram (अहोरात्रम्) 8 yāmas ≈ 24 hours (tropical day starting at sunrise)

Cosmic metrics

The table below contains calculations of cosmic Hindu units of time as experienced by different entities, namely humans, Pitris (forefathers), Devas (gods), Manu (progenitor of humanity), and Brahma (creator god). Calculations use a traditional 360-day year (twelve 30-day months) and a standard 24-hour day for all entities.

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Cosmic units of time
Unit[b] Definition Human Pitri Deva Manu Brahma
mahā-kalpa 36,000 kalpa & pralaya 311,040,000,000,000 yr 10,368,000,000,000 yr 864,000,000,000 yr ~101,408,450.70 yr 100 yr
mahā-pralaya mahā-kalpa length
parārdha 12 mahā-kalpa 155,520,000,000,000 yr 5,184,000,000,000 yr 432,000,000,000 yr ~50,704,225.35 yr 50 yr
kalpa 14 m + 15 ms; 1,000 cy 4,320,000,000 yr 144,000,000 yr 12,000,000 yr ~1,408.45 yr 12 h
pralaya kalpa length
manvantara 71 catur-yuga 306,720,000 yr 10,224,000 yr 852,000 yr 100 yr 51.12 min
manvantara-sandhyā Kṛta-yuga length 1,728,000 yr 57,600 yr 4,800 yr ~6.76 mo 17.28 s
catur-yuga Kṛta, Tretā, Dvāpara & Kali-yugas 4,320,000 yr 144,000 yr 12,000 yr ~1.41 yr 43.20 s
 
Kṛta-yuga sum total 1,728,000 yr 57,600 yr 4,800 yr ~6.76 mo 17.28 s
Kṛta-yuga-sandhyā 110 Kṛta-yuga[c] length 144,000 yr 4,800 yr 400 yr ~16.90 day 1.44 s
Kṛta-yuga-sandhyāṃśa
Kṛta-yuga[c] 4 Kali-yuga[c] lengths 1,440,000 yr 48,000 yr 4,000 yr ~5.63 mo 14.40 s