Cover art for podcast The K12 Engineering Education Podcast

The K12 Engineering Education Podcast

99 EpisodesProduced by Pios LabsWebsite

Promoting education in engineering and design for all ages. Learn more and read transcripts at Produced by Pius Wong, engineer, of Pios Labs ( This podcast is for educators, engineers, entrepreneurs, and parents interested in bringing engineering to younger… read more


What Do Equations Sound Like on the Piano?

Let’s make equations musical. Instead of visualizing equations on a graph, let’s listen to them on the piano, merging all our math and music knowledge. You can make two-dimensional x-y math equations audible – or sonify them – by translating the x-values to time and the y-values to the keys of a piano. If you can’t play them on the piano yourself, we can use the free web app Chordinates! by Pios Labs to do it instead. Listen to the sound of coordinates, linear equations, polynomials, trigonometric functions, and random distributions of notes on the piano, and analyze their patterns. Then take the audio review quiz at the end, complete with extended creative and technical challenges. Got your own reactions to this episode? Would love to hear your thoughts.

Related to this episode:
• Chordinates! beta, a free web by Pios Labs:
• Coordinate plane, from
• HCI Beyond the GUI, book by Philip Kortum:
• Google nGram viewer, for analyzing the prevalence of the words “sonify” and “sonification”:

Music credits:
All clips used are under Creative Commons 0 Licenses, including from the following artists.
• Tyler Schanck, The Wandermiles:
• Doctor Dreamchip:
• Moz5a:
• Sondre Drakensson:
• Eathan Markson:
• Don Veca:
• Komit:
• Epon Audio:
• Nate Ziller:
• Julian Evans:

Equations referenced:
• y = x,
• y = -2x,¶ms=-2,0&xmin=0&xmax=51
• Linear equation, minor scale:¶ms=1,-1&xmin=0&xmax=51
• Linear equation, chromatic scale:
• y = x^2,¶ms=1,0,0&xmin=0&xmax=51
• y = 16sin(x), free rhythm,¶ms=16,1,0,0
• y = 5vtan((1/2)x), free rhythm,¶ms=5,0.5,0,0
• Square wave, amplitude = 2, offset = 2, major 3rd harmony,¶ms=2,1,2
• y = uniform random distribution, from -23 to 28,¶ms=28,-23

Subscribe and find more podcast information at: Support Pios Labs with regular donations on Patreon: You’ll also be supporting projects like the Engineer’s Guide to Improv and Art Games, The Calculator Gator, or Chordinates! Thanks to our donors and listeners for making the show possible. The K12 Engineering Education Podcast is a production of Pios Labs:

Educational emoji reaction


Interesting emoji reaction


Funny emoji reaction


Agree emoji reaction


Love emoji reaction


Wow emoji reaction


Listen to The K12 Engineering Education Podcast


A free podcast app for iPhone and Android

  • User-created playlists and collections
  • Download episodes while on WiFi to listen without using mobile data
  • Stream podcast episodes without waiting for a download
  • Queue episodes to create a personal continuous playlist
RadioPublic on iOS and Android
Or by RSS
RSS feed

Connect with listeners

Podcasters use the RadioPublic listener relationship platform to build lasting connections with fans

Yes, let's begin connecting
Browser window

Find new listeners

  • A dedicated website for your podcast
  • Web embed players designed to convert visitors to listeners in the RadioPublic apps for iPhone and Android
Clicking mouse cursor

Understand your audience

  • Capture listener activity with affinity scores
  • Measure your promotional campaigns and integrate with Google and Facebook analytics
Graph of increasing value

Engage your fanbase

  • Deliver timely Calls To Action, including email acquistion for your mailing list
  • Share exactly the right moment in an episode via text, email, and social media
Icon of cellphone with money

Make money

  • Tip and transfer funds directly to podcastsers
  • Earn money for qualified plays in the RadioPublic apps with Paid Listens