
谐波体验
Harmonic Experience
W. A. Mathieu · 初版 1997 年
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_Harmonic Experience_ 提供了一种全面的音乐视角,将纯律这一古老的谐波体系与现代十二平均律体系融为一体。W.A. Mathieu 认为“音乐的法则不是在我们的大脑中形成的,而是在我们身体的共鸣腔中形成的”,他深刻意识到迫切需要一种体验式的教学,将我们_思考_音乐的方式与我们实践音乐的方式重新连接起来。Mathieu 提供了上千个谱例和图表来阐释他的观点,使读者能够达到更深层次的共鸣,去聆听现有的
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如果有人对和声理论以及为什么 I/IV/V 进行如此普遍感兴趣,我强烈推荐 W.A. Mathieu 的《The Harmonic Experience》。他深入剖析了泛音列(harmonic series),以及音程本质上是如何对应低质数比率的。我在做了 15 年职业音乐人之后读了这本书,简直大开耳界……
If anyone has interest in harmonic theory and why I/IV/V progressions are so pervasive, I highly recommend "The Harmonic Experience" by W.A. Mathieu. He really gets into the harmonic series, and how intervals are really low prime ratios. I read this book after being a professional musician for 15 years and it was an ear opening…
……https://www.amazon.com/Semiology-Graphics-Diagrams-Networks-... https://medium.com/@karlsluis/before-tufte-there-was-bertin-... 有意思的是,我喜欢的另一本比较冷门的书(20年前买来读过)也是关于和声的:https://www.amazon.com/Harmonic-Experience-Harmony-Natural-E... 我觉得和声分两种:十二平均律(equal temperament)的和声,以及基于物理学的“替代”和声,而这本书讲的是后者。仅从链接我看不出来……
…https://www.amazon.com/Semiology-Graphics-Diagrams-Networks-... https://medium.com/@karlsluis/before-tufte-there-was-bertin-... Interestingly another relatively unknown book I like (and bought/read 20 years ago) is also about harmony: https://www.amazon.com/Harmonic-Experience-Harmony-Natural-E... I would say there's two kinds of harmony: harmony in equal temperament, and "alternative" harmonies based on physics, and this is about the latter. I can't tell from the link what…
……我们所联想到的悲伤,仅仅是因为比率的倒数性质——更复杂的质数出现在分母上(与上面大七度 M7 的泛音特性相反)。简单一句话:去读 W.A. Mathieu 的《Harmonic Experience》吧
…that we associate with sadness is simply the reciprocal nature of the ratio - the more complicated prime is in the denominator (as opposed to the overtonal nature of the M7 above) Short answer: read Harmonic Experience by W.A. Mathieu
我之前提到过这个,但对我来说,这个宏大课题上的权威之作绝对是 W.A. Mathieu 的《The Harmonic Experience》。他极其透彻地探讨了低质数比率、为什么它们听起来悦耳,以及为什么现代西方和声的基石只是这些比率的近似值、而非真正的原值……
I've mentioned this before, but for me, the definitive work on this vast subject is "The Harmonic Experience" by W.A. Mathieu. He really gets into low prime ratios, why they sound good to us, and also why the building blocks of modern western harmony are approximations of those ratios, rather than the real thing.…
……记谱法并不是在衡量这类事物的每一项指标上都优于其他所有体系。Gary Garrett 在 Youtube 上有更多点阵(lattice)演示。这里有一个根据 W. A. Mathieu 的《Harmonic Experience》中的示例制作的动画(该书大量使用点阵来解释和声,也是我所知道解释如何理解它们的最好参考):https://www.youtube.com/watch?v=I49bj-X7fH0 一个 3-5 点阵……
…notation isn't better than every other system according to every metric we could use to compare such things. Gary Garrett has more lattice demos on Youtube. Here's one that's an animation of an example in Harmonic Experience by W. A. Mathieu (which uses lattices extensively to explain harmony and is the best reference I know of for explaining how to understand them): https://www.youtube.com/watch?v=I49bj-X7fH0 A 3-5 lattice…
也许是 W.A. Mathieu 的《Harmonic Experience》。
Perhaps Harmonic Experience by W.A. Mathieu.