The Science of Music

Chapter 7

The Science of Music

Music is both an art and a science. Discover how music connects to physics, biology, and mathematics — all in one chapter.

Table of Contents

Music is something we all enjoy every day. We listen to it, feel emotions because of it, and sometimes even play it. But did you know that music has a strong scientific side too? When you study music scientifically, you understand why sounds are loud or soft, high or low, and how our own body produces voice. In this chapter, we explore how music links to physics, biology, and mathematics.

Four Categories of Musical Instruments

Indian classical tradition classifies all musical instruments into four main groups based on how sound is produced:

String Instruments

Tata-vādya

Sitar, Veena, Santoor, Violin

Wind Instruments

Suṣhira-vādya

Flute, Shehnai, Trumpet

Percussion Instruments

Avanaddha-vādya

Mṛidaṅgam, Tabla, Dhol

Solid Instruments

Ghana-vādya

Chimṭā, Ghungroo, Bells

The Science of Sound

Sound is produced when objects vibrate. These vibrations travel through the air and reach our ears, which is how we hear sound. When we study musical instruments, we are actually studying the science of vibrations and sound waves.

Imp — Three Ways to Change Sound in Strings

Sound produced by a string can be changed in three main ways:

1
Tightening or Loosening — Changes the pitch. A tighter string vibrates faster and gives a higher-pitched sound. A looser string gives a lower-pitched sound.
2
Using a Hollow Box — Changes the loudness. The hollow body of an instrument acts as a resonator, amplifying the vibrations so the sound becomes louder and richer.
3
Changing Thickness or Material — Changes the quality (timbre) of sound. A thicker string vibrates more slowly and produces a deeper tone. Different materials (nylon, metal, gut) also give different sound qualities.

Imp Connection

These same three principles — pitch, loudness, and quality — are used in the design and playing of all string instruments like the Sitar, Veena, Santoor, and even the violin.

Did You Know? — C.V. Raman

C.V. Raman (1888–1970) was a celebrated Indian physicist and Nobel Prize winner. He studied the sounds made by the mṛidaṅgam and the tabla and found that these instruments produce a rich, sustained tone that can be tuned to different pitches.

He discovered that the membranes of these drums vibrate in very complex patterns. This happens mainly because of the karaṇai or syāhī — the circular black patch at the centre of the drum, made from iron or manganese powder, starch, and water. This patch controls the way the drum vibrates and gives it its unique musical quality.

Did You Know? — Ancient Indian Concepts of Sound

Ancient Indian scholars studied sound in great depth. Classical texts like Nāṭyaśhāstra and Saṅgīta-ratnākara define and explain:

Dhvani — general sound
Nāda — musical sound
Śhruti — the smallest, just-perceptible interval between two notes
Svaras — the seven musical notes (Sa, Re, Ga, Ma, Pa, Dha, Ni)

Biology of the Human Voice

Your own body is a musical instrument! When you speak, laugh, sing, or shout, several body parts work together in a beautifully coordinated way. The human vocal system has three main subsystems.

The three subsystems of the human vocal system work together to produce voice.

The Three Subsystems

Subsystem	Body Parts	What It Does
Air Pressure System	Diaphragm, Lungs, surrounding muscles	Pushes air upward to create the airflow needed for sound production. Acts like a bellows that drives the whole system.
Vibratory System	Larynx (voice box), Vocal Folds (vocal cords)	The airflow causes the vocal cords to vibrate rapidly, producing raw sound waves. The speed of vibration determines the pitch of the voice.
Resonating System	Throat, Mouth, Nasal cavities	Acts like a hollow box in a musical instrument — it amplifies and shapes the raw sound into recognizable speech and song tones.

నాభి హృత్కంఠ రసన నాసాదులయందు శోభిల్లు సప్తస్వర సుందరుల భజింపవే మనసా

Nābhi hṛit-kanṭha rasana nāsādulayaṅdu Śhobhillu saptasvara suṅdarula bhajiṁpave manasā

"O Mind! Praise the divine forms of the seven musical notes, which glow in the abdomen, heart, neck, tongue, and nose of the human body."

— Saint Thyagaraja, legendary Carnatic music composer
from the kriti: Śhobhillu Saptasvara

How to Take Care of Your Voice

Our voice is a precious instrument. Just like any musical instrument, it needs proper care to perform well. Here are the key ways to keep your voice healthy:

Drink Plenty of Water: Staying hydrated keeps your vocal cords moist and allows them to vibrate smoothly without strain.
Eat a Healthy Diet: Avoid oily or very acidic foods as they irritate the vocal cords. Foods rich in fruits and vegetables strengthen your immune system and help prevent colds and coughs that affect voice quality.
Speak at a Moderate Volume: Avoid shouting or raising your voice unnecessarily. Speaking too loudly strains the vocal cords and can damage them over time.

Vocal Warm-Up Routine

Doing vocal warm-ups regularly keeps your voice flexible, strong, and healthy. Here are four warm-up exercises (each repeated 5–6 times):

Warm-Up 1

Breathing & Diaphragm Exercise

Inhale deeply through the nose, letting your belly expand. Hold 2–3 seconds, then exhale slowly through the mouth.

✓ Activates lungs & builds breath control for singing long phrases

Warm-Up 2

Humming (Bhrāmarī Prāṇāyāma)

Hum at a comfortable pitch, feeling vibration in lips, nose, and chest. Gently slide up and down in pitch while humming mmm.

✓ Gently warms vocal cords and improves resonance

Warm-Up 3

Lip Trills / Bubbles

Blow air through closed lips making a brrr sound. Glide up and down in pitch using the lip trill.

✓ Relaxes facial muscles and improves airflow

Warm-Up 4

Sargam Exercises

Sing alaṅkāra patterns at different speeds:
SGR → RMG → GPM…
SRGM → RGMP → GMPD…

✓ Improves voice flexibility and breath control

Mathematics in Tāla (Rhythm)

Rhythm in Indian classical music is called Tāla. Just like numbers follow patterns, rhythm is also built using repeating patterns called akṣharas. Each akṣhara is a syllable that represents a beat unit.

Basic Rhythmic Building Blocks (Akṣharas)

1 Akṣhara

2 Akṣharas

taka

3 Akṣharas

ta ki ta

4 Akṣharas

tha ka di mi

Imp — Combining Akṣharas

We combine these building blocks to make longer rhythmic phrases. For example:
5 akṣharas = 2 + 3 = taka takita
6 akṣharas = 3 + 3 = takita takita OR 2+2+2 = taka taka taka

Lowest Common Multiple (LCM) in Rhythm

The Lowest Common Multiple (LCM) is the smallest number that is a multiple of two or more given numbers. In music, LCM helps us figure out when two different rhythmic cycles will meet at the same starting point together.

After 12 beats, Group 1 completes 4 cycles of 3, and Group 2 completes 3 cycles of 4 — they clap together.

Imp — LCM in Tāla

Teen Tāla has 16 beats per cycle.

Ektāla has 12 beats per cycle.

LCM of 12 and 16:

Multiples of 12: 12, 24, 36, 48, …
Multiples of 16: 16, 32, 48, …

LCM (12, 16) = 48

So after 48 beats, both Teen Tāla and Ektāla will complete full cycles at the same time.

Exercises — Questions & Answers

Fill in the blanks.

When a string is tightened, the pitch ______.

Answer

increases. A tighter string vibrates faster, producing a higher-pitched sound.

ii.

The diaphragm and lungs form part of the ______ subsystem.

Answer

Air Pressure subsystem. They push air upward to drive the voice.

iii.

The hollow body of a musical instrument is important because ______.

Answer

it acts as a resonator — it amplifies the vibrations of the string, making the sound much louder and richer than the string alone could produce.

State whether the following statements are True or False.

The thickness of a string affects the quality of sound.

Answer

True. A thicker string vibrates more slowly and produces a deeper, different tonal quality compared to a thinner string.

ii.

Drinking water is bad for the voice.

Answer

False. Drinking sufficient water is actually very good for the voice — it keeps the vocal cords hydrated so they can vibrate efficiently and without damage.

iii.

C.V. Raman conducted experiments on the sound of the veena.

Answer

False. C.V. Raman studied the sounds of the mṛidaṅgam and the tabla, not the veena.

Name the three subsystems of the human vocal system, and describe the function of each.

Answer

Air Pressure System (Diaphragm + Lungs): Generates the airflow needed to produce sound. When you inhale, the diaphragm contracts and the lungs fill with air. When you exhale, this air is pushed upward through the vocal tract.
Vibratory System (Larynx + Vocal Fords): The upward-moving air passes through the vocal cords, causing them to vibrate rapidly. This vibration creates the basic raw sound. The faster the vibration, the higher the pitch.
Resonating System (Throat + Mouth + Nasal Cavities): This system shapes and amplifies the raw sound. By changing the shape of the mouth, lips, and tongue, we produce different vowels, consonants, and musical tones.

Describe some ways to ensure our voices are in good condition.

Answer

Stay hydrated: Drink enough water every day to keep the vocal cords moist and functioning smoothly.
Eat well: Avoid oily or highly acidic foods that can irritate the vocal cords. A diet with fruits and vegetables boosts immunity and keeps coughs and colds away.
Avoid shouting: Speaking or singing at a moderate volume protects the vocal cords from strain and damage.
Do vocal warm-ups: Regular exercises like diaphragm breathing, humming, lip trills, and sargam patterns keep the voice flexible and strong.
Rest your voice: After long periods of singing or speaking, give your voice a break to recover.

Jhaptāla has 10 beats (mātras) in a cycle (āvartana), and Kehervā (Tāla) has 8 beats. After how many beats will they both complete full cycles together?

Answer — Using LCM

We need to find the LCM of 10 and 8.

Multiples of 10: 10, 20, 30, 40, 50…
Multiples of 8: 8, 16, 24, 32, 40, …

LCM (10, 8) = 40

After 40 beats, Jhaptāla will have completed 4 full cycles (40 ÷ 10 = 4) and Kehervā will have completed 5 full cycles (40 ÷ 8 = 5). Both tālas will start a new cycle together at beat 40.

Describe a warm-up routine that can be done daily to keep the voice in good condition.

Answer

A good daily vocal warm-up routine (each step 5–6 times) includes:

Breathing Exercise: Sit or stand straight, inhale deeply through the nose so your belly expands, hold for 2–3 seconds, then exhale slowly through the mouth. This activates the diaphragm and builds breath support.
Humming (Bhrāmarī): Hum at a comfortable pitch feeling vibration in your nose and chest, and gently slide the pitch up and down. This warms the vocal cords without straining them.
Lip Trills: Push air through closed lips making a brrr sound and slide up and down in pitch. This relaxes the face muscles and improves air control.
Sargam Patterns: Sing ascending and descending note patterns (like SGR-RMG-GPM or SRGM-RGMP-GMPD) at different speeds to improve pitch accuracy and breath management.

Write a Konnakkol / Bol phrase for: i. 5 akṣharas ii. 6 akṣharas

Answer

i. 5 akṣharas:

5 = 2 + 3 → taka takita OR 5 = 3 + 2 → takita taka

ii. 6 akṣharas:

6 = 3 + 3 → takita takita OR 6 = 2 + 2 + 2 → taka taka taka OR 6 = 2 + 4 → taka thakadimi

Describe the connection between the science of sound and musical instruments (50 words).

Answer

Musical instruments are built on the science of sound. String instruments produce sound through vibrating strings — their pitch depends on string tension, loudness on the hollow body, and tonal quality on string thickness. Wind instruments use vibrating air columns, and percussion uses vibrating membranes. All instruments convert vibrations into musical sound.

If you were to design a string instrument using the principles of sound, how would it look and sound? Draw a diagram.

Answer (Description + Diagram)

A student-designed string instrument would need:

A hollow body (e.g., a wooden box) to amplify sound.
At least 3 strings of different thicknesses stretched across it — thin for high pitch, thick for low pitch.
Tuning pegs at one end to tighten or loosen strings and adjust pitch.
A bridge to transmit string vibrations to the hollow body.

It would produce soft or loud sounds depending on how hard the strings are plucked, different pitches by tightening or loosening strings, and different tones from each string's thickness.

A simple student-designed string instrument based on the principles of sound.

Q10

Which category of instrument (tata, suṣhira, avanaddha, ghana) does the human voice belong to? Justify your answer.

Answer

The human voice belongs to the Suṣhira-vādya (wind instrument) category.

Justification: Suṣhira-vādya instruments produce sound through the vibration of a column of air. In the human voice, the diaphragm and lungs push air through the larynx, where the vocal cords vibrate to produce sound — just like air vibrates inside a flute or shehnai. The resonating cavities of the throat, mouth, and nose then shape this sound, exactly like the tube of a wind instrument shapes its tone. Since the basic sound-producing mechanism relies entirely on vibrating air, the human voice fits best in the wind instrument category.

LCM Practice

Teen Tāla has 16 beats and Ektāla has 12 beats. Find the LCM and state after how many beats both complete full cycles.

Answer

Multiples of 16: 16, 32, 48, 64…
Multiples of 12: 12, 24, 36, 48, 60…

LCM (12, 16) = 48

After 48 beats, Teen Tāla completes 3 full cycles (48 ÷ 16 = 3) and Ektāla completes 4 full cycles (48 ÷ 12 = 4). Both tālas will start fresh together at beat 48.