Ṛ (Indic)

Aryabhata used Devanagari letters for numbers, very similar to the Greek numerals, even after the invention of Indian numerals. The sign ृ was used to modify a consonant's value ×10⁶, but the vowel letter ऋ did not have an inherent value by itself.[1]

There are three different general early historic scripts - Brahmi and its variants, Kharoṣṭhī, and Tocharian, the so-called slanting Brahmi. Ṛ was not found in early Brahmi, and only appears in some of the less geometric styles of later Brahmi writing, such as the Gupta . Like all Brahmic scripts, Tocharian Ṛ has an accompanying vowel mark for modifying a base consonant. In Kharoṣṭhī, the only independent vowel letter is for the inherent A. All other independent vowels, including Ṛ are indicated with vowel marks added to the letter A.

Brahmi Ṛ

The Brahmi letter Ṛ is probably derived from the Aramaic Resh , and is thus related to the modern Latin R and Greek Rho.[2] Several identifiable styles of writing the Brahmi Ṛ can be found, most associated with a specific set of inscriptions from an artifact or diverse records from an historic period.[3] As the earliest and most geometric style of Brahmi, the letters found on the Edicts of Ashoka and other records from around that time are normally the reference form for Brahmi letters, but Ṛ is not found in those texts, so it is usually cited with a back-formed geometric style character similar to "X".

Brahmi Ṛ historic forms

Ashoka (3rd-1st c. BCE)	Girnar (~150 BCE)	Kushana (~150-250 CE)	Gujarat (~250 CE)	Gupta (~350 CE)
No examples

Tocharian Ṛ

The Tocharian letter is derived from the Brahmi . Unlike some of the consonants, Tocharian vowels do not have a Fremdzeichen form.

Tocharian consonants with Ṛ vowel marks

Kr	Khr	Gr	Ghr	Cr	Chr	Jr	Jhr	Nyr	Ṭr	Ṭhr	Ḍr	Ḍhr	Ṇr
Tr	Thr	Dr	Dhr	Nr	Pr	Phr	Br	Bhr	Mr	Yr	Rr	Lr	Vr
Śr	Ṣr	Sr	Hr

Devanagari independent Ṛ and Ṛ vowel sign.

Ṛ (ऋ) is a vowel of the Devanagari abugida. It ultimately arose from the Brahmi letter , after having gone through the Gupta letter . Letters that derive from it are the Gujarati letter ઋ, and the Modi letter 𑘆.

Bengali independent Ṛ and Ṛ vowel sign.

Ṛ (ঋ) is a vowel of the Bengali abugida. It is derived from the Siddhaṃ letter , and is marked by the lack of horizontal head line and less geometric shape than its Devanagari counterpart, ऋ.

Gujarati independent Ṛ and Ṛ vowel sign.

Ṛ (ઋ) is a vowel of the Gujarati abugida. It is derived from the Devanagari Ṛ , and ultimately the Brahmi letter .

Telugu independent vowel and vowel sign Ṛ.

Ṛ (ఋ) is a vowel of the Telugu abugida. It ultimately arose from the Brahmi letter . It is closely related to the Kannada letter ಋ. Like in other Indic scripts, Telugu vowels have two forms: and independent letter for word and syllable-initial vowel sounds, and a vowel sign for changing the inherent "a" of Telugu consonant letters. Ṛ is a non-attaching vowel sign, and does not alter the underlying consonant or contextually shape itself in any way.

Telugu Ṛ vowel sign on క, ఖ, గ, ఘ & ఙ: Kṛ, Khṛ, Gṛ, Ghṛ and Ngṛ.

Malayalam independent vowel and vowel sign Ṛ.

Ṛ (ഋ) is a vowel of the Malayalam abugida. It ultimately arose from the Brahmi letter , via the Grantha letter r. Like in other Indic scripts, Malayalam vowels have two forms: an independent letter for word and syllable-initial vowel sounds, and a vowel sign for changing the inherent "a" of consonant letters. Vowel signs in Malayalam usually sit adjacent to its base consonant - below, to the left, right, or both left and right, but are always pronounced after the consonant sound. Some vowel signs, such as Ṛ, can also form a ligature with some consonants, although this is much more common in old-style paḻaya lipi texts than in the modern reformed paḻaya lipi orthography.

Malayalam Ṛ vowel sign on ക, ഖ, ഗ, ഘ, & ങ: Kṛ, Khṛ, Gṛ, Ghṛ and Ngṛ in paḻaya lipi.

Odia independent vowel and vowel sign Ṛ.

Ṛ (ଋ) is a vowel of the Odia abugida. It ultimately arose from the Brahmi letter , via the Siddhaṃ letter r. Like in other Indic scripts, Odia vowels have two forms: an independent letter for word and syllable-initial vowel sounds, and a vowel sign for changing the inherent "a" of consonant letters. Vowel signs in Odia usually sit adjacent to its base consonant - below, to the left, right, or both left and right, but are always pronounced after the consonant sound. No base consonants are altered in form when adding a vowel sign, and there are no consonant+vowel ligatures in Odia.