Vaidika Shakhas (वैदिकशाखाः)

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Shakhas can be classified into two types

1. compilations without any variations in mantras from the original structure of vedas
2. compilations with some variations in mantras different from original structure of vedas

According to MahaBhasya of Patanjali, there were 1131 Shakhas (21+101+1000+9) prevalent during his times. 

एकविंशतिधा बाह्वृच्यम्। एकशतमध्वर्युशाखाः। सहस्रवर्त्मा सामवेदः। नवधाथर्वणो वेदः। पातन्जल महाभाष्य, पस्प-शाह्निक। 

ekaviṁśatidhā bāhvr̥cyam। ekaśatamadhvaryuśākhāḥ। sahasravartmā sāmavedaḥ। navadhātharvaṇo vedaḥ। pātanjala mahābhāṣya, paspa-śāhnika।

This includes the 4 Veda Samhitas. However, now only 16 of these Shakhas are available, which are as follows:

1.     5 of ऋग्वेदः शाकल: (Shaakala) (with and without Vala Khilya Sukta), बाष्कल: (Bashkala), आश्वलायन: (Ashvalayana), शाङ्खायन: (Shankhayana) and माण्डूकायन (Mandukaayana)

2.     6 of यजुर्वेदः

a.      3 of शुक्ल-यजुर्वेदःवाजसनेयी (Vaajasaneyi) or माध्यन्दिनी (Maadhyandini) and काण्व (Kaanva)।

b.      3 of कृष्ण-यजुर्वेदः तैत्तिरीय: (Taittiriya), मैत्रायणी (Maitraayani), कठ: (Katha), and कपिष्ठल (Kapishhthala)।

3.     3 of सामवेदः कौथुमीय (Kauthumiya), राणायनीय (Ranaayaniya) and जैमिनीय (Jaiminiya)

4.     2 of अथर्ववेदः शौनक (Shaunak) and पैप्लाद: (Paipalaada)