Why Doesn't My Tuner Agree With the Harmonium?

If you have tuned a bansuri against an app, or bought a flute from a maker who tunes chromatically, you may have run into something that makes no sense. The tuner says the note is right. Your ear says it is not. And a well-tuned tanpura agrees with your ear.

Nobody is malfunctioning. The two systems genuinely disagree, and the previous post — on shruti and cents — gives us the vocabulary to say by exactly how much.

What Tempering Actually Does

In the natural scale, swara positions are ratios. Pa is 3/2 of Sa. Ma is 4/3. Ga is 5/4. These are proportions, and proportions multiply - which is to say the scale is geometric.

Western music needed something else. To let an instrument play in every key without retuning, the octave was divided into twelve exactly equal steps. Doing that means converting a geometric relationship into an arithmetic one:

"To convert geometrical to arithmetical you have to go into log scale. Once you do that, you get Sa to komal Re, every note, twelve notes, each note 100 cents apart. That is equal tempering."

This is a real engineering achievement, and it is why a piano can play in any key. It also guarantees that almost none of the resulting notes sit exactly where the natural scale puts them.

▶ Watch it: What tempering is, and why it happened — https://youtu.be/f5jkewquROo?t=1873  (31:13)

▶ Watch it: Geometric to arithmetic — the logarithmic conversion — https://youtu.be/rJaq5tG6smk?t=5219  (86:59)

By How Much Do They Disagree?

The disagreement is measurable. For most swaras it is small; for one it is not.

Swara	Tempered	Natural	Difference
Pancham	700 cents	702 cents	2 cents
Madhyam	500 cents	498 cents	2 cents (the other way)
Gandhar	400 cents	about 386 cents	13 cents

"There is a difference of two cents between the tempered Pancham and the natural Pancham. Whether anybody can decipher that difference is another matter. I can. But a normal listener can't."

Two cents is negligible in practice; thirteen is not.

▶ Watch it: Pancham at 702 against the tempered 700 — https://youtu.be/rJaq5tG6smk?t=5254  (87:34)

Gandhar Is Where the Two Scales Part Company

"Gandhar is maximum. Gandhar is thirteen cents."

The natural Gandhar sits noticeably lower than the tempered one. Recall the ladder from the previous post: an untrained ear detects about 20 cents, a trained one about 2. Thirteen cents is comfortably inside what a musician hears and close to the edge of what a beginner hears.

Which explains a problem that comes up again and again from bansuri players. Flutes are frequently tuned chromatically — to the tempered scale — because that is the standard a maker works to. The Gandhar on such a flute is thirteen cents higher than the Gandhar your tanpura is giving you. The note is not out of tune by accident. It is in tune with a different system.

▶ Watch it: Gandhar at thirteen cents, and what it means for flute makers — https://youtu.be/rJaq5tG6smk?t=5273  (87:53)

So Which One Is Right?

Both, for their own purposes. Equal temperament solves a problem Indian classical music does not have — playing in every key on a fixed-pitch instrument without retuning. Indian music retunes. The tanpura is set to the singer's Sa and everything is defined from there.

But it does mean a tuner is the wrong judge. A tuner is calibrated to the tempered scale, so it will confirm a Gandhar that your tanpura contradicts. This is the practical form of a rule that runs through all of Nitin's teaching:

"Don't go by the meter. The meter is for the frequency. The meter doesn't give you the pitch."

What This Means When You Sit Down to Practise

Tune your tanpura first, and tune everything else to it. Use a tuner to get into the neighbourhood if you like — for the Sa, where there is nothing to disagree about — and then stop looking at it.

If a note feels wrong on your instrument and the tuner insists it is fine, the tuner is answering a different question. And if the note in question is the Gandhar, you now know the number: thirteen cents.

SECTION 3: GLOSSARY

Term	Definition
Equal temperament	The Western system dividing the octave into twelve exactly equal semitones of 100 cents each, so an instrument can play in any key without retuning.
Natural scale	The Indian system, where every swara is a whole-number ratio to the Sa — Pa at 3/2, Ma at 4/3, Ga at 5/4.
Cent	One 1,200th of an octave. A tempered semitone is exactly 100 cents.
Geometric vs arithmetic	Ratios multiply; cents add. Converting between them requires a logarithmic scale — which is what tempering does.
Chromatic tuning	Tuning an instrument to the twelve equal-tempered semitones. Common among flute makers, and the source of the Gandhar problem.

SECTION 4: KEY TAKEAWAYS

• The natural scale is geometric — swaras are ratios to the Sa. Equal temperament is arithmetic — twelve equal steps of 100 cents.

• Converting between them requires a logarithmic conversion, which is precisely what tempering is.

• Pancham differs by 2 cents and Madhyam by 2 cents the other way — negligible for a normal listener.

• Gandhar differs by about 13 cents, which is well inside what a trained ear detects.

• Bansuris tuned chromatically carry a Gandhar 13 cents above the one your tanpura gives you.

• Neither system is wrong; they solve different problems. But a tuner is calibrated to the tempered scale, so it is the wrong judge for Indian classical music.

• Tune the tanpura first and tune everything to it. Don't go by the meter.

  
  

SECTION 5: FAQ

What is equal temperament?

Equal temperament divides the octave into twelve exactly equal semitones of 100 cents each. It was adopted in Western music so that a fixed-pitch instrument like a piano could play in any key without being retuned. The cost is that almost none of the resulting notes sit exactly where the natural harmonic ratios put them.

Why does my tuner disagree with my tanpura?

Because they are calibrated to different systems. A tuner is built for the tempered scale; a tanpura produces the natural harmonic series. For most notes the difference is about 2 cents and inaudible. For the Gandhar it is around 13 cents, which a trained ear hears easily.

Which note differs most between the two scales?

The Gandhar, by roughly 13 cents — the natural Gandhar sits lower than the tempered one. Pancham and Madhyam differ by only 2 cents each, in opposite directions.

Why do bansuris sometimes sound out of tune on the Gandhar?

Many flute makers tune chromatically, to the equal-tempered scale, because that is the standard they work to. On such a flute the Gandhar is about 13 cents above the Gandhar your tanpura gives you. The flute is not faulty — it is tuned to a different system from the one you are playing in.

Should I use a tuner at all for Indian classical music?

For finding your Sa, a tuner is convenient and there is nothing to disagree about. Beyond that it becomes misleading, because it will confirm notes your tanpura contradicts. The working rule is to tune the tanpura and then tune everything by ear to that.

Is the natural scale better than equal temperament?

Neither is better in the abstract; they solve different problems. Equal temperament makes it possible to play in every key on a fixed instrument. Indian classical music does not need that, because the tanpura is retuned to each performer's Sa and every swara is defined in relation to it.