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Indian music history and musicology

Performing Arts (music / dance / theatre) (BPA / BA Music) · Music · free study notes for exams, placements and interviews

In short

Indian music history and musicology is the study of how Indian art music developed — from Vedic chant and Bharata's *Natyashastra* through medieval Sanskrit treatises to the modern Hindustani and Carnatic systems — together with the scholarly methods used to analyse it: textual study (*lakshana* and *lakshya*), acoustics and tuning theory, organology, notation and ethnomusicology. It is the theory paper that carries the largest share of written marks in BPA and BA Music degrees, because performance is assessed separately in the viva and recital. It is examined in university theory papers, UGC NET/JRF Music, SET/CUET-PG entrances, and in interviews for Akashvani (All India Radio) and Doordarshan audition panels, music teaching posts in schools and colleges, Sangeet Natak Akademi and ICCR projects, and archive, publishing and arts-administration roles. Employers also expect working knowledge of the Copyright Act, 1957 (as amended in 2012) because performers and teachers deal with royalties and licensing.

Explained

Sources, periods and the basic vocabulary of the discipline

Ancient period: Vedic chant to the Natyashastra

Post-classical and medieval treatises: the rise of raga

Bifurcation, courts and the two traditions

Modern musicology: reform, notation and documentation

Institutions, law and current Indian practice

Key points

Formulas and examples

Interval in cents: n = 1200 × log₂(f₂/f₁) — f₁, f₂ in hertz (Hz); n in cents; an octave = 1200 cents, an equal-tempered semitone = 100 cents.
Frequency from a ratio: f₂ = f₁ × (p/q), where p/q is the just ratio of the interval (Sa:Pa = 3:2, Sa:Ma = 4:3, Sa:upper Sa = 2:1).
Stopping length on a veena/sonometer: L₂ = L₁ × (q/p) — a higher note needs a shorter vibrating length, inversely as the frequency ratio.
Mersenne's law (string): f = (1/2L)√(T/μ) — f in Hz, L = vibrating length in m, T = tension in N, μ = linear mass density in kg/m.
Equal temperament: fₖ = f₀ × 2k/12, k = number of semitones above f₀.
Pythagorean comma = 12 just fifths − 7 octaves = 12 × 701.955 − 8400 ≈ 23.46 cents; syntonic comma (pramana shruti) = 81/80 ≈ 21.51 cents.

Example 1 — cents of the standard consonances.

Check: 701.96 + 498.04 = 1200.00, so Sa–Pa and Pa–upper Sa are exact complements (3/2 × 4/3 = 2).

Example 2 — a tanpura tuned with Sa = 240 Hz (just intervals).

SvaraJust ratioFrequency (Hz)Cents above SaEqual temperament (cents)
Sa1/1240.000
Re (chatushruti)9/8270.0203.91200
Ga (shuddha)5/4300.0386.31400
Ma (shuddha)4/3320.0498.04500
Pa3/2360.0701.96700
Dha5/3400.0884.36900
Ni15/8450.01088.271100
Sa (upper)2/1480.012001200

Reading: the just major third is 13.69 cents flatter than the tempered third and the just fifth 1.96 cents sharper than the tempered fifth — which is why a harmonium (12-tone tempered) can never match a tanpura's Ga and Dha exactly. This single table answers most "shruti versus tempered scale" questions.

Example 3 — where to stop the string for Pa. A veena string sounds Sa with a vibrating length of 90 cm. Pa needs f × 3/2, so L₂ = 90 × 2/3 = 60 cm of vibrating length; the fret/stop lies 30 cm from the far end. For Ma (4/3): L = 90 × 3/4 = 67.5 cm. For the upper Sa (2/1): L = 45 cm, exactly half — the physical proof of the octave.

Example 4 — sonometer measurement in a musicology lab. L = 0.65 m, T = 60 N, μ = 4.0 × 10⁻⁴ kg/m.

If the tension is raised to 90 N with L and μ unchanged, f rises by √(90/60) = √1.5 = 1.2247, giving 364.9 Hz — an interval of 1200 × log₂1.2247 = 351.0 cents, a neutral third, roughly midway between the tempered minor (300) and major (400) thirds.

Example 5 — shruti arithmetic in the Shadja grama. With 22 shrutis to the octave and Sa 4, Re 3, Ga 2, Ma 4, Pa 4, Dha 3, Ni 2: Sa to Ma spans 4 + 3 + 2 = 9 shrutis and Sa to Pa spans 9 + 4 = 13 shrutis; the remainder 4 + 3 + 2 = 9 completes 22. Lowering Pa by one *pramana shruti* (81/80, 21.5 cents) turns the *Shadja grama* into the *Madhyama grama*, in which Sa–Pa is 12 shrutis — the textbook distinction between the two gramas.

Hindustani theoryCarnatic theory
Scale-class10 *thaats* (Bhatkhande)72 *melakartas* (Venkatamakhin)
Key modern codifierBhatkhande, PaluskarSubbarama Dikshitar, Sambamoorthy
Lineage term*gharana**bani* / *sampradaya*
Dominant historical forms*dhrupad* → *khayal*, *thumri**gita*, *varnam*, *kriti*
Patronage pathMughal and princely courts → concertTemple and Thanjavur/Travancore courts → sabha

Where it is used

Interview questions

Common mistakes

Related topics

Hindustani music: raga, tala and forms · Carnatic music: raga, tala and compositions · Western music theory and graded exams · Acoustics and the physics of musical sound · Indian aesthetics and rasa theory · Folk and tribal music traditions of India

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