Sound & Acoustics

Why same-size singing bowls can sound so different

Diameter alone cannot determine an instrument’s sound.

By ANURAVAPublished Updated AN-KB-A15

The short answer

Two 7-inch bowls can sound different because diameter is only one part of a vibrating shell. Rim thickness, wall profile, height, mass distribution, material properties and small handmade asymmetries alter the bowl’s modes. Playing method then changes which modes are strongly excited. That is why actual measurements and recordings are more informative than diameter alone.

Acoustics / physics

What sets a mode frequency

Acoustics / physics

Modelling of singing bowls derives modal frequencies from radius together with height, wall thickness, material stiffness and density. Modal frequency increases with thickness and falls strongly with radius. Diameter is therefore genuinely influential — it is simply not sufficient, because three of the other four terms can vary freely between two bowls of identical diameter.

What differs between two nominally identical bowls

  • Rim and wall thickness, which vary around the circumference in a hand-raised bowl.
  • Height and the curvature of the wall profile.
  • How mass is distributed between base, wall and rim.
  • Local material condition after repeated heating and hammering.
  • Small departures from perfect rotational symmetry.

Asymmetry is audible

Acoustics / physics

A perfectly symmetrical shell would have paired modes at identical frequencies. Real hand-formed bowls split those pairs slightly, producing two components a fraction of a hertz apart and the slow pulsing known as beating. The degree and character of that beating is one of the clearest audible differences between two same-size bowls, and it is a direct consequence of forming by hand.

Excitation changes the comparison

Acoustics / physics

A tap excites many modes at once; rubbing the rim preferentially builds one. Two bowls can therefore sound similar when struck and quite different when rim-played, or the reverse. A fair comparison has to state how the bowls were excited, not just which bowls they were.

What follows commercially

This is why ANURAVA measures individual instruments rather than publishing a size-to-note chart as though it were a specification. A diameter narrows the field. The measured fundamental, the cents offset against a stated reference, and an exact-piece recording describe the actual object.

Frequently asked

Why don’t two 7-inch bowls have the same note?

Because modal frequency depends on thickness, height, curvature, mass distribution and material as well as radius. Two bowls can share a diameter and differ in every other term.

Can identical-size bowls sound different?

Yes, and audibly so — in pitch, in the strength of their overtones and in the presence and rate of beating produced by small asymmetries.

Why does diameter not predict frequency?

Diameter is one variable in a multi-variable system. It correlates with pitch across a population of bowls but cannot determine the value for any individual piece.

Sources & methodology

  1. Peer-reviewed acousticsTerwagne & Bush, ‘Tibetan singing bowls’Nonlinearity / MITModels bowl vibration from radius, height, wall thickness, stiffness and density; tapping excites multiple modes, rubbing preferentially excites one.
  2. Peer-reviewed acousticsAcoustical Society of America literature on Himalayan singing bowlsJournal of the Acoustical Society of AmericaStick–slip rim excitation; self-excited modes depend substantially on contact friction and the material of the rubbing implement.
  3. First-partyANURAVA Acoustic Method v1.0 and Sound Passport recordsANURAVAFirst-party measurement protocol and per-instrument documentation.

Written and reviewed by ANURAVA. Where a statement rests on a musical convention or a traditional association rather than on measurement, it is labelled as such in the text above.