古典吉他的语调和补偿:高温的吉他
M B Anderson1, R G Beausoleil1
1Rosewood Guitar, Seattle, Washington 98103, USA.
The Journal of the Acoustical Society of America
|July 26, 2024
概括
本研究提出了古典吉他语调的模型,解释了弦属性如何影响音调. 它为吉他手提供了实用的方法来提高调音准确度,并在他们的乐器上实现更好的12音等温度 (12-TET).
科学领域:
- 声学 声学 在声学方面
- 音乐乐器 物理 物理
- 弦的振动 弦的振动
背景情况:
- 准确的语调对于乐器来说至关重要.
- 经典吉他通常由于弦属性和位的位置而表现出语调差异.
- 现有的模型可能无法完全捕捉纹弦行为的复杂性.
研究的目的:
- 开发一个直观的物理模型,用于古典吉他发音.
- 量化弦特性 (长度,密度,张力,刚度) 对音频率的影响.
- 为吉他手提供改善语调和实现12音等温度 (12-TET) 的实际方法.
主要方法:
- 对于具有不对称边界条件的刚弦振动频率的表达式的导出.
- 利用对数频率差异 ("cents") 和泰勒数列扩展来分析频率偏差.
- 现场技术的演示,用于测量由于长度调整而导致的开放弦频率变化.
- 为吉他手提供一种程序的建议,以估计从张力和曲刚度的频率变化.
- 应用最小正方形适配方法来确定12-TET的最佳和坚果回落.
主要成果:
- 该模型成功地解并量化了共振长度,线性质量密度,张力和曲刚度对语调的影响.
- 泰勒序列扩展清楚地说明了12-TET频率偏差的起源.
- 展示了一种测量和估计频率转移的实用方法,使吉他手能够理解他们的乐器的语调.
- 最小方形适合法有效地识别了和坚果的挫折,以实现特定吉他和弦组合的近乎完美的12-TET目标.
结论:
- 呈现的直观模型提供了对古典吉他语调的全面理解.
- 吉他手可以利用提出的方法来积极提高他们的乐器的语调.
- 该研究提供了一种一般的方法来调吉他,减少带的乐器内在的音调错误.
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