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Maheśvara Sūtras The Maheśvara Sūtras are a foundational set of fourteen sound formulas used in Sanskrit grammar, especially in the grammatical system of the great sage Pāṇini.

These sūtras organize the sounds of Sanskrit in a highly scientific and compact way. They form the basis for many grammatical rules in the Aṣṭādhyāyī, Pāṇini’s famous grammar text.

Traditional Origin
According to tradition, Lord Shiva played his divine drum (ḍamaru) fourteen times during his cosmic dance. From those sounds emerged the fourteen Maheśvara Sūtras. Because they originated from Maheśvara (Śiva), they are called माहेश्वरसूत्राणि The Sūtras of Maheśvara

Purpose of the Maheśvara Sūtras
The Maheśvara Sūtras are not ordinary sentences. They are a compact system for grouping sounds efficiently. Pāṇini uses them to create abbreviated sound groups called प्रत्याहाराः (pratyāhāras).

These compact abbreviations allow grammatical rules to be written with extraordinary brevity and precision.

Importance in Sanskrit Grammar
The Maheśvara Sūtras Without understanding these sūtras, studying advanced Sanskrit grammar becomes difficult. The Maheśvara Sūtras are:
They represent one of the most elegant and sophisticated linguistic systems in the world.

The Fourteen Maheśvara Sūtras
अ इ उ ण् झ भ ञ्
ऋ ऌ क् घ ढ ध ष्
ए ओ ङ् ज ब ग ड द श्
ऐ औ च् ख फ छ ठ थ च ट त व्
ह य व र ट् क प य्
ण् श ष स र्
ञ म ङ ण न म् ल्

The Maheśvara Sūtras are basically the devanagari alphabets, rearranged based on the properties they exhibit. The black colored letters are aksharas and the red colored letter is the इत्

What is a Pratyāhāra?
A प्रत्याहारः is a shorthand expression formed from the Maheśvara Sūtras.
प्रत्याहार = अक्षर + following इत्

For example:
The प्रत्याहार अच् represents all aksharas starting from अ and ending at च् which are all the vowels अ इ उ ऋ ऌ ए ओ ऐ औ
The प्रत्याहार हल् represents all aksharas starting from ह and ending at ल् which are all the consonants.

Note that in the Maheśvara Sūtras, the akshara ह is repeated twice and the इत् ण् is repeated twice. As we progress in our study of Sanskrit grammar, this confusion will be clarified.

Examples of प्रत्याहारs

प्रत्याहार Aksharas
ण् अ इ उ
क् अ इ उ ऋ लृ
ड् ए ओ
च् ए ओ ऐ औ
च् अ इ उ ऋ लृ ए ओ ऐ औ (स्वर-s)