n(n+1)

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    Also not sure what this game is called, but it contains some interesting mathematical properties. Can you see the oblong numbers (2,6,12,20,30...) in this representation?

    Per Mathgym:

    Readers who are familiar with the theory of music will recognise the list of oblongs as the intervals in decreasing order of consonance: Octave (1:2), Perfect Fifth (2:3), Perfect Fourth (3:4), Major Third (4:5), Minor Third (5:6), etc. It is Pythagoras who is credited with discovering this mathematical relationship between music and numbers.

    This discovery, that the pitch of a note is related to the length of the string which produced it, is credited as being the spark which ignited Pythagoras' imagination and philosophy. It allowed Pythagoras a glimpse of a whole new order in the Universe, one governed by intellect and logic and capable of the sublimest of pleasures. And a glimpse was all that he needed.

    With this discovery, Pythagoras and the Pythagoreans set in train a way of investigation which has proved to be one of the most productive ideas in human history - that mathematics can be used to unravel the mysteries of the Universe.

    1. arialittlhous 76 months ago | reply

      Wow! I'm so glad I found you. I've recently become obsessed with creating a puzzle book for children that explicates the connection between music and numbers....but I know nothing about either...would you be up for talking on the phone? Or in person? I'm in Boston, MA. Thanks.

      DC

    2. Natural Math 73 months ago | reply

      I used your picture to illustrate my blog post, "60 ways to make math activities inclusive" - THANKS!

      www.naturalmath.com/index.php?option=com_jd-wp&Itemid...

    3. drlippman 64 months ago | reply

      Thanks for the nice photo - I used it on the cover of my CC licensed math textbook Math in Society

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