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Mode Selection Rules for Two-Delay Systems: Dynamical Explanation for the Function of the Register Hole on the Clarinet
http://hdl.handle.net/10228/5862
http://hdl.handle.net/10228/586295f4e579-90eb-44e2-994f-68bada2fd1eb
| 名前 / ファイル | ライセンス | アクション |
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JPSJ83_124003.pdf (3.9 MB)
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| アイテムタイプ | 学術雑誌論文 = Journal Article(1) | |||||
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| 公開日 | 2016-11-02 | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| タイトル | ||||||
| タイトル | Mode Selection Rules for Two-Delay Systems: Dynamical Explanation for the Function of the Register Hole on the Clarinet | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 著者 |
高橋, 公也
× 高橋, 公也× Goya, Kana× Goya, Saya |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Generally, time-delay systems are regarded as multi-attractor systems. We investigate mode selection rules for two-delay systems considering which oscillation mode is first excited by the Hopf bifurcation with increasing a bifurcation parameter. In particular, we focus on the case that the strength of the short time delay α1 is lower than that of the long time delay α2. In a certain range of α1/α2 in which it is sufficiently small but still not negligible, the third-harmonic mode occupies a particular range of the ratio of the two delay times such that 2 < tR2/tR1 < 4, where tR1 and tR2 denote the short and long delay times, respectively. This is the key for understanding the function of the register hole on the clarinet, which is smaller in radius than the other tone holes, but works well to raise the pitch of first register notes in a wide range more than an octave by a twelfth (19 semitones), i.e., generating third harmonics, when opened. This is confirmed using a simple model of the clarinet with two delays: short and long time delays are regarded as delayed reflections caused by the register hole and the open end of the pipe, respectively. The working range of the register hole roughly corresponds to the particular range of the third-harmonic mode for two-delay systems (2 < tR2/tR1 < 4). | |||||
| 言語 | en | |||||
| 書誌情報 |
en : Journal of the Physical Society of Japan 巻 83, 号 124003, p. 1-14, 発行日 2014-11-14 |
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| 出版社 | ||||||
| 出版者 | 日本物理学会 | |||||
| 言語 | ja | |||||
| DOI | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | https://doi.org/10.7566/JPSJ.83.124003 | |||||
| NCID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA00704814 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 0031-9015 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | EISSN | |||||
| 収録物識別子 | 1347-4073 | |||||
| 著作権関連情報 | ||||||
| 権利情報 | Copyright (c) 2014 The Physical Society of Japan (J. Phys. Soc. Jpn. 83, 124003.) | |||||
| 出版タイプ | ||||||
| 出版タイプ | AM | |||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
| 査読の有無 | ||||||
| 値 | yes | |||||
| 研究者情報 | ||||||
| URL | https://hyokadb02.jimu.kyutech.ac.jp/html/250_ja.html | |||||
| 連携ID | ||||||
| 値 | 5746 | |||||
