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    Cover of Harmonic Experience

    Harmonic Experience

    W. A. Mathieu · 1997

    _Harmonic Experience_ offers a comprehensive view of music that reconciles the ancient harmonic system of just intonation with the modern system of 12-tone equal temperament. Saying that “the rules of music were not formed in our brains but in the resonance chambers of our bodies,” W.A. Mathieu recognizes the pronounced need for an experiential kind of teaching that reconnects the way we _think_ music with the way we do music. Mathieu provides over a thousand musical examples and diagrams to illustrate the ideas he presents, allowing readers to reach a deeper level of response, to hear existing musical compositions more clearly, and to become thoroughly engaged in their own musical creativity.

    PhilosophyArts, Games & MediaHistory
    Open LibraryAmazon
    Stats for nerds
    7recommend
    15mentions
    9people
    2014–2025years
    80% recommend20% neutral

    Mentions per year

    2014201620182020202220242025

    What Hacker News says

    1. tshaddoxOct 2025
      I first became aware of this concept many years on Gary Garrett's blog, where he primarily refers to it as "the lattice." His introduction to the concept gives a brief history:

      https://www.garygarrett.me/?p=342

      More introduction to the lattice:

      https://www.garygarrett.me/?p=995

      https://www.garygarrett.me/?p=1632

      https://www.garygarrett.me/?p=1696

      Some comparison audio between equal temperament and just intonation:

      https://www.garygarrett.me/?p=1812

      Some songs with lattice animations:

      https://www.garygarrett.me/?p=103

      https://www.garygarrett.me/?p=1253

      I also like this book which Gary recommends, although it's very challenging and I never made it all the way through:

      https://www.amazon.com/Harmonic-Experience-Harmony-Natural-E...

      thread
    2. giraffe_ladyApr 2023
      Mathieu's Harmonic Experience. Definitive book on reconciling just & equal temperament and how to develop embodied understanding of the relationships between notes.
      thread
    3. whycombsFeb 2022
      Sorry, a lot of this is wrong. A major 7th is not 17:9 but 15:8. Our ear tries to represent all these rich resonances in as simple primes as possible (Think, combos of 2's 3's and 5's - and occasionally 7's in blue notes).

      A minor 6th isn't just a note in between, but a simple 4:5, The minor sound 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

      thread
    4. chubotJan 2020
      I remember getting Semiology of Graphics from the Palo Alto library around 2006. At the time it was sort of legendary and out of print, but it looks like it's since been reprinted. I think you can get most of the ideas from newer books, but it's well done and clearly ahead of its time.

      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 the other harmony book is about. What's good about it?

      As far as computer books, I've read a lot of recommendations here over the years like "thinking forth", "Computer Lib" by Ted Nelson, etc. They are well known to some audiences but not others.

      ----

      I also enjoy reading what people though the computing future would be like. I have "Superdistribution" by Brad Cox:

      https://news.ycombinator.com/item?id=21833331

      And "Mirror Worlds" by Gelertner:

      https://www.amazon.com/Mirror-Worlds-Software-Universe-Shoeb...

      I'm pretty sure Gelertner claims that the Facebook feed is identical to his "life streams". I guess taken literally it's hard not to see the current Internet as a "mirror world" that's becoming the real world.

      thread
    5. elihuMar 2018
      Perhaps Harmonic Experience by W.A. Mathieu.
      thread
    6. hypertextheroDec 2017
      Yes. See Harmonic Experience: Tonal Harmony from Its Natural Origins to Its Modern Expression by W.A. Mathieu

      https://www.goodreads.com/book/show/114365.Harmonic_Experien...

      thread

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