Skip to main content
A · Canonical textChapter 4

Muhūrta Mechanics & High-Stakes Timing

The engine’s muhūrta rules: proportional division of the solar day (Ahorātra) into the 30 diurnal and nocturnal muhūrtas, Choghadiya, Rahu Kalam, and the sectoral timing rules it encodes.

Muhūrta Cintāmaṇi

Cited for: The division of the day into fifteen muhūrtas, and the tradition that the eighth of them, Abhijit, is free of most of the faults that mark other hours. The locus is the reference's own, not the text's.

The wording is not quoted here: the locus has not been checked against an edition.

1. Proportional Division of the Ahorātra

A common beginner error is assuming a Muhurta is always exactly 48 clock minutes. In classical Drik Ganita, a Muhurta is strictly defined as 1/15th of the actual local daytime (D) or 1/15th of the nighttime (N). Thus, during summer solstices at non-equatorial latitudes, a daytime Muhurta can extend to 54 minutes while a winter daytime Muhurta shrinks to 42 minutes.

Daytime & Nighttime Muhūrta Durations

D = T_sunset - T_sunrise
N = T_sunrise,next - T_sunset
M_day = D / 15
M_night = N / 15
Every diurnal Muhurta slot k (from 0 to 14) spans [T_sunrise + k × M_day, T_sunrise + (k+1) × M_day]. Abhijit Muhurta is strictly slot k = 7 (the 8th Muhurta, centered on local solar noon).
Parameters & variables
D
Dinamāna: Total duration of daytime from sunrise to sunset(hours/minutes)
N
Rātrimāna: Total duration of nighttime from sunset to next sunrise(hours/minutes)
M_day
Diurnal Muhūrta Span: 1/15th of Dinamana (varies seasonally)(minutes)

2. Dur Muhūrtam 15-Slot Weekday Matrix

Dur Muhūrtam names the muhūrta slots the tradition advises against for beginning a new undertaking or a ceremony. Panchangas can differ where one omits the night slot on Tuesday or reads a day with more than one slot differently. The engine encodes the matrix below:

WeekdayDaytime Inauspicious Slots (0–14)Nighttime Inauspicious Slots (0–14)
Sunday (Ravivāra)Slot 13 (approx 4:00 PM – 4:48 PM)None
Monday (Somavāra)Slot 8 (Abhijit overlap) & Slot 11None
Tuesday (Maṅgalavāra)Slot 3 (approx 8:24 AM – 9:12 AM)Slot 6 (approx 10:48 PM – 11:36 PM)
Wednesday (Budhavāra)Slot 7 (approx 11:36 AM – 12:24 PM)None
Thursday (Guruvāra)Slot 5 & Slot 11None
Friday (Śukravāra)Slot 3 & Slot 8None
Saturday (Śanivāra)Slot 0 (Sunrise) & Slot 1None

3. Sectoral Muhūrtas as the Engine Encodes Them

Beyond the lifecycle rites (Saṃskāras), the muhūrta literature gives timing rules for commissioning equipment and for firing a furnace. The engine encodes the rules below. The treatises named are the ones the engine cites; their loci have not been checked against an edition, so read them as the engine’s reading and not as a quotation.

Heavy Machinery & CNC Installation (Yantra Sthāpanā)

Treatises: Muhūrta Cintāmaṇi (Yantra Prakaraṇa), Kālaprakāśikā.
Favorable Nakshatras: Puṣya, Hasta, Citrā, Rohiṇī, Uttarāṣāḍhā, Anurādhā, Śravaṇa.
Favorable Tithis: 2, 3, 5, 7, 10, 11, 13 (avoid Riktā tithis 4, 9, 14 and Amāvāsyā).
Weekdays: Thursday, Friday, Wednesday. Saturday is admitted for heavy ferrous steel and foundry work, in the tradition that gives Saturn rule over base metals.

Furnace, Boiler & Kiln Firing (Agni Kārya)

Treatises: Viśvakarma Prakāśa, Kālāmṛta.
Requirement: Mars and the Sun well placed, in a kendra or trikoṇa, and the fiery nakṣatras (Kṛttikā, Maghā, Mūla).
Avoided: the Viṣṭi (Bhadrā) karaṇa and the Riktā tithis. This is the tradition’s counsel; it is not a finding about furnaces, and safe operation of one is a matter for its operators and the regulations that bind them.