Pith Number

pith:L2TCCZOY

pith:2026:L2TCCZOYRKRIHMY4QFMXRJ3XDV

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The Wolf and the Cello: Modelling and design of multiple resonance suppressors in large string instruments

Emiliano Cristiani, Francesca L. Ignoto, Simone Cacace

A coupled dynamical model shows that one or two tuned suppressors can eliminate wolf notes in large string instruments while limiting damage to tonal balance.

arxiv:2605.16210 v1 · 2026-05-15 · math.DS · cs.NA · math.NA · math.OC

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\pithnumber{L2TCCZOYRKRIHMY4QFMXRJ3XDV}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

The proposed numerical tests give insights about optimal tuning and placement of one or two suppressors, achieving effective wolf-note suppression while preserving as much as possible the global tonal balance.

C2weakest assumption

The two-dimensional body model with combined second-order elastic and fourth-order stiffness contributions accurately captures the relevant resonances that interact with the string; this modeling choice is stated in the abstract as the basis for the coupled dynamics.

C3one line summary

A coupled string-body model with elastic and stiffness terms is simulated with one or two tuned mass dampers to optimize wolf-note suppression and tonal balance in large bowed instruments.

References

13 extracted · 13 resolved · 0 Pith anchors

[1] P. Neubauer, J. Tschesche, J. B¨os, et al. An active-system approach for eliminating the wolf note on a cello. The Journal of the Acoustical Society of America, 143:2965–2974, 2018 2018

[2] M. A. C. V. Raman. On the “wolf-note” in bowed stringed instruments.Philosophical Magazine Series 6, 32:391–395, 1916 1916

[3] I. M. Firth and J. M. Buchanan. The wolf in the cello.The Journal of the Acoustical Society of America, 53:457–463, 1973 1973

[4] M. E. McIntyre and J. Woodhouse. The acoustics of stringed musical instruments.Interdisciplinary Science Reviews, 3:157–173, 1978 1978

[5] M. E. McIntyre and J. Woodhouse. On the fundamentals of bowed-string dynamics.Acustica, 43(2):93–108, 1979 1979

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:01:58.207007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ea62165d88aa283b31c815978a7771d67af3af3347bc97451a82a7e5462f1b0

Aliases

arxiv: 2605.16210 · arxiv_version: 2605.16210v1 · doi: 10.48550/arxiv.2605.16210 · pith_short_12: L2TCCZOYRKRI · pith_short_16: L2TCCZOYRKRIHMY4 · pith_short_8: L2TCCZOY

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/L2TCCZOYRKRIHMY4QFMXRJ3XDV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5ea62165d88aa283b31c815978a7771d67af3af3347bc97451a82a7e5462f1b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f429c03b2af6f097594944518955801ae6df07750b7d3489ef4a8cd3b7fb248a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-15T17:26:06Z",
    "title_canon_sha256": "b2b6e5521e4f80befe15415e26ab9a7f822b57c71e6f79ddf2cc2060382bf56f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16210",
    "kind": "arxiv",
    "version": 1
  }
}