CaltechAUTHORS
  A Caltech Library Service

Whither Tone Ring Ring?

Politzer, David (2018) Whither Tone Ring Ring? , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20180524-103922787

[img] PDF (arXiv) - Submitted Version
See Usage Policy.

2227Kb
[img] PDF - Submitted Version
See Usage Policy.

2190Kb
[img] Audio (MPEG) (sound sample of tone ring, wood rim, and combined system -- one tap each (Listen to the end!)) - Supplemental Material
See Usage Policy.

542Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20180524-103922787

Abstract

An extremely simple model captures the essence of the interaction of a banjo tone ring with the wood rim. The large scale, low frequency resonances of the assembled system are related to the weights and resonant frequencies of the tone ring and rim separately. Very crude measurements satisfy the derived relations within about 5% for the lowest frequency modes and give qualitative agreement for the next ones on a particular, heavy-tone-ring resonator banjo. The two combined sub-systems become increasingly independent for higher frequency, shorter-lived modes. Nevertheless, the ringing sounds of the struck individual parts, which dominate the perception of their pitch and sustain, are related by the simple model to the sound when the parts are struck when combined into one.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://www.its.caltech.edu/~politzer/ring-taps/tone-ring-ring.pdfAuthorDiscussion Paper
http://www.its.caltech.edu/~politzer/ring-taps/one-tap-each.mp3Authorsound sample
https://arxiv.org/abs/1805.09839arXivDiscussion Paper
ORCID:
AuthorORCID
Politzer, David0000-0002-4983-6621
Contact Email Address:politzer@theory.caltech.edu
Other Numbering System:
Other Numbering System NameOther Numbering System ID
HDP18-01
Record Number:CaltechAUTHORS:20180524-103922787
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180524-103922787
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86589
Collection:CaltechAUTHORS
Deposited By: H. Politzer
Deposited On:25 May 2018 16:57
Last Modified:03 Oct 2019 19:45

Repository Staff Only: item control page