East ↔ West
Same ear, six linked maps across two tracks on this site. Eastern foundations, the rāga companion,
and Eastern tunings teach drone, microtones (śrutis), melody, and cycle. Western foundations,
Advanced theory, and Western tunings teach keys, temperament, chords, and meter. This page is the
pocket card between them — not a seventh textbook. Mirror: compare.md.
On this page
- Six maps — how the site theory is split
- What lines up · What diverges
- Pitch names · Tuning & commas
- Melody systems · Harmony vs drone
- Time · Quick bridge
Six maps
Read one track deeply; use this page when a term from the other track shows up.
Eastern track · 2
Rāga companion
From parent family to one bandish — the living melody layer.
- Thaat — pitch-class family
- Note grammar — jāti, varjit, paths
- Weight & rest — vādī, nyāsa
- Identity phrases — pakad, ālāp
- One card → Alhaiya → bandish
Eastern track · 3
Eastern tunings
22-Śruti system, 36-unit vīṇā acoustic physics, and Bhatkhande derivation.
- Pramāṇa Śruti — comma (81/80 = 21.51 ¢) & 22-śruti classes
- Pandit Srinivasa — 36-unit vīṇā string division
- Bhatkhande derivation — 3:2 fifths & 4:3 fourths cycle
- Why 12-TET spread — harmonium debate & colonial era
- Interactive workbench — pure ratios vs 12-TET cents
Western track · 1
Western foundations
Pitch grid, scales, keys, chords in a key, rhythm, reading.
- Pitch · intervals
- Scales · circle · modes
- Chords · Roman numerals · inversions
- Note values · meter
- Solfège · Reading
Western track · 2
Advanced theory
How phrases end and how chords do jobs — then connection & form.
- Cadences · function
- Voice leading · secondary V
- Non-chord tones · phrases & form
- Minor numerals · related keys, lead sheets…
Western track · 3
Western tunings
From Pythagorean fifths to 12-TET equal temperament & historical compromise.
- Pythagoras — 3:2 fifths & Pythagorean comma (23.46 ¢)
- Just intonation — 5:4 pure thirds & syntonic comma (21.51 ¢)
- Meantone & Well — quarter-comma & key coloration
- 12-TET derivation — Zhu Zaiyu, Stevin, & 100 ¢ semitones
- Interactive workbench — audible interval beating & cents
Three-tier parallels:
Level 1: Eastern foundations ≈ Western foundations (core grammar & reading).
Level 2: Rāga companion ≈ Advanced theory (how phrases move, cadence, and build deep form).
Level 3: Eastern tunings ≈ Western tunings (acoustic physics, the 81/80 comma, string mathematics, and temperament trade-offs).
What lines up
| Idea | Eastern | Western |
|---|---|---|
| Octave repeats | Saptak (मंद्र / मध्य / तार) | Octave registers (C4, C5…) |
| Seven named steps | Sa Re Ga Ma Pa Dha Ni | Do Re Mi Fa Sol La Ti (or degrees 1–7) |
| Finer grid inside the octave | ~22 śrutis (just microtones against Sa) | 12 chromatic half steps (equal temperament) |
| Acoustic comma | Pramāṇa Śruti (81/80 = 21.51 ¢) | Syntonic Comma (81/80 = 21.51 ¢) |
| Home pitch | Sa on the drone | Tonic / key center |
| Raised / lowered colour | Tivra Ma · komal Re/Ga/Dha/Ni | Sharps / flats · major vs minor colour |
| Parent pitch-class map | Thaat (10 families) | Major/minor + modes; circle |
| Pulse & cycle | Laya + tāla (sam) | Tempo + meter (bar, downbeat) |
| Training patterns | Alankār / paltā | Scale runs, arpeggios, etudes |
| “Where may I rest?” | Nyāsa · vādī / saṃvādī | Cadences · tonic function |
What diverges
| Focus | Eastern (this site) | Western (this site) |
|---|---|---|
| Primary unit of music | Rāga — melodic personality + lakṣaṇa | Key + harmony — scale + chords in a key |
| Vertical sound | Drone + melody; chords are not the grammar | Stacked thirds, progressions, function |
| How a phrase “ends” | Allowed resting notes + pakad language against Sa | Cadence formulas (V→I, half, etc.) |
| Tuning ideal | Just ratios vs Sa; śruti shades matter in rāga | Equal temperament so all keys work on fretted / keyed instruments |
| Same notes, different music | Many rāgas share a thaat; differ in chalan, vādī, pakad | Modes / relative keys share notes; home + function differ |
| Improvisation frame | Ālāp → bandish in tāla → taan / layakari inside rāga | Melody over changes; solos outline chord tones / scale |
| Notation habit | Sargam, bols; oral / teacher lineage first | Staff / TAB; written score as shared text |
Pitch names
Both systems label steps from a chosen home. Eastern names are movable with Sa (like movable Do). Western letter names are fixed on the keyboard (C is always that piano key); scale degrees and solfège can be movable like Sa.
| Eastern swara | Approx. Western degree (major) | Solfège | From C |
|---|---|---|---|
| Sa | 1 tonic | Do | C |
| Re (śuddha) | 2 | Re | D |
| Ga (śuddha) | 3 | Mi | E |
| Ma (śuddha) | 4 | Fa | F |
| Pa | 5 | Sol | G |
| Dha (śuddha) | 6 | La | A |
| Ni (śuddha) | 7 | Ti | B |
| Sȧ | 8 / 1 | Do | C |
Komal / tivra ≈ flats / sharp on the matching degree (komal Ga ≈ minor 3rd; tivra Ma ≈ ♯4 / Lydian colour). The feel is rāga-specific — not every flat is “just a minor scale.” Bilawal’s śuddha set ≈ Western major from that Sa.
Tuning & the acoustic comma
Both musical civilizations discovered the exact same acoustic paradox: stacking pure fifths (3:2) or pure major thirds (5:4) fails to close cleanly into the octave circle (2:1). Where they diverged was in their mathematical and artistic solution.
Fixed tonic (Sa) with an unyielding tanpura drone. 22 microtonal intervals (śrutis) derived via pure 3:2 and 4:3 ratios. When comma discrepancies emerge, intervals are assigned distinct expressive roles rather than compromised.
Deep dive: Eastern tunings workbench
Movable keys requiring unrestricted multi-voice chord progression. From Pythagorean fifths to mean-tone and well temperaments, culminating in 12-TET: slightly de-tuning all intervals so all 24 keys sound equally balanced.
Deep dive: Western tunings workbench
The shared mathematical comma: 81/80
The core mathematical friction in both systems is identical:
- In India: Pramāṇa Śruti (81/80 = 21.51 ¢). The difference between a major whole tone (Chatushruti Re = 9/8 = 203.91 ¢) and a minor whole tone (Trishruti Re = 10/9 = 182.40 ¢). First demonstrated empirically in Bharata’s ancient Sarana Chatushtayi (two-vīṇā tuning experiment).
- In the West: The Syntonic Comma (81/80 = 21.51 ¢). The exact same ratio! Arising when four pure Pythagorean fifths (3/2)⁴ = 81/16 overshoot a pure harmonic major third (5/4) plus two octaves (80/16). Pythagoras also isolated the Pythagorean Comma (531441/524288 = 23.46 ¢) after twelve consecutive fifths overshoot seven octaves.
Acoustic comparison matrix
| Dimension | Eastern theory & practice | Western theory & practice |
|---|---|---|
| Foundational acoustic reference | Continuous acoustic drone (Tanpura providing Sa + Pa or Sa + Ma) | Absolute concert pitch standard (A4 = 440 Hz); no constant drone |
| The building blocks | 22 Śrutis (microtones) calculated from pure rational harmonics (3:2 fifths, 4:3 fourths, 5:4 thirds) | 12 equal chromatic semitones (100 ¢ each) based on the twelfth root of two (21/12 ≈ 1.05946) |
| Historic string geometry pioneer | Pandit Srinivasa (17th c. Rāgatattvavibodha) — mathematically mapped 12 swaras to a 36-unit physical vīṇā string | Pythagoras (6th c. BCE) — monochord string division (2:1 octave, 3:2 fifth, 4:3 fourth) |
| Modern system architect | Pt. V. N. Bhatkhande (20th c.) — systematized 22 śrutis through cyclic fifths/fourths and classification of 10 Thaats | Simon Stevin & Prince Zhu Zaiyu (late 16th c.) — mathematical formulation of equal temperament adopted universally by 19th c. |
| Handling the comma (81/80) | Preserves both variants as distinct expressive śrutis (e.g. Tivra Re 9/8 vs Komal Re 10/9) depending on the rāga’s aesthetic gravity | Eliminates commas by shaving ~1.96 ¢ off every pure fifth, spreading the discrepancy equally across all 12 semitones |
| The acoustic trade-off | Pure harmony vs fixed frets: Incomparably resonant against the drone, but cannot modulate keys on fixed frets without retuning | Modulation freedom vs pure thirds: Free modulation across all 24 major/minor keys, but major thirds are 13.69 ¢ sharp and audibly beat |
| Keyboard / instrument collision | The harmonium controversy: widely popular for accompaniment, but contested (and historically banned on AIR) for flattening delicate śruti nuances | The fretted / keyed consensus: piano, organ, guitar, and synthesizers universally lock into 12-TET for harmonic polyphony |
- Eastern tunings workbench — Hear Srinivasa’s 36-unit vīṇā and Bhatkhande’s 22 śrutis against a pure Sa drone.
- Western tunings workbench — Hear Pythagorean, Just Intonation, Meantone, Well Temperament, and 12-TET intervals.
- Ear training tool — Practice identifying intervals with both Western degree and Eastern sargam labels.
Melody systems
Both tracks move from “which pitches?” to “how may I move?” — but they store the answer in different places.
| Thaat → rāga | Scale → key → mode | |
|---|---|---|
| Pitch-class list | Thaat — seven fixed śuddha/komal/tivra choices | Scale / mode + tonic; key signature |
| Allowed paths | Aroha / avaroha, vakra, varjit — part of the rāga card | Usually free within the scale; skips are style, not a named law |
| Identity | Pakad, chalan, ornament language | Motives / themes; ornaments colour, harmony often carries structure |
| Same notes ≠ same music | Many rāgas share a thaat; differ in weight, rest, phrases | C major vs A Aeolian share notes; home differs |
| Into a piece | Bandish in a tāla (sthāyī / antarā) | Song / head in a meter; later form |
Harmony vs drone
This is the biggest conceptual split for beginners — and where Advanced theory sits on the Western side.
Melody moves against a steady Sa (and often Pa). “Harmony” is the relationship of each swara to the drone and to the rāga’s resting notes (vādī / saṃvādī, nyāsa).
Roman numerals name which chord; function names its job (tonic / predominant / dominant). Cadences (V→I, half, plagal, deceptive) are how phrases close.
| Job (rough) | Eastern feel | Western label |
|---|---|---|
| Home / rest | Sa; also strong nyāsa / vādī landings | Tonic function (I, often vi) · PAC / IAC |
| Leave home | Move into the rāga’s open phrases; away from Sa | Predominant (IV, ii) |
| Pull toward home | Approach Sa (often via Ni / Pa colour) — rāga-specific | Dominant (V, V7, vii°) · authentic cadence |
| Hang open | Phrase ends on a non-final nyāsa or mid-chalan | Half cadence (…→V) |
You can drone under a piano melody or chord under a rāga-ish line — but the grammar stays different. Don’t force Roman numerals onto a bandish, and don’t expect a jazz chart to explain Yaman’s tivra Ma.
Time
| Tāla | Meter | |
|---|---|---|
| Cycle | Fixed length (e.g. Teentaal 16) returning to sam | Bars of equal length (4/4, 3/4…) under a time signature |
| Internal landmarks | Vibhāg, tāli, khālī — felt in the body / thekā | Beats and subdivisions (1 & 2 &; compound 6/8) |
| Speed words | Vilambit / madhya / drut (laya) | Adagio / Moderato / Allegro (tempo) or BPM |
| Deep dive | Eastern · Tāla · Singing taals · Tabla | Western · Time · note values · room labs |
Quick bridge
When you switch rooms, keep this pocket card:
| If you know… | Think… |
|---|---|
| Sa | Movable Do / tonic (degree 1) |
| Pa | Perfect fifth above Sa |
| Śuddha scale from Sa (Bilawal) | Major scale (Ionian) from that tonic |
| Komal Ga / Ni | ♭3 / ♭7 — Aeolian / natural minor colour |
| Tivra Ma | ♯4 — Lydian colour (Kalyan / Yaman) |
| Thaat | Parent pitch set (like a mode-family map) — not yet a rāga |
| Rāga | More than a scale — rules of motion, rest, pakad |
| Vādī / nyāsa | Nearest cousin: where phrases may rest (not the same as “tonic chord”) |
| Sam | Downbeat / beat 1 of the cycle |
| Bandish in tāla | Song / head in a meter — rāga rules still apply |
| Roman I–IV–V–I | No single Eastern twin; function sentence (home → leave → pull → home) |
| V→I cadence | No exact twin; nearest feel is strong return to Sa after tension |
| Half cadence (…→V) | Phrase hangs open — like ending away from a final nyāsa |