Many college students (and some of you) are fond of playing computer games like Guitar Hero and Rock Band. So they might really appreciate this post about Musical Pi from the 360 blog.

A summary: Jon Turner (professor of musical composition) has composed a suite based on the digits in the decimal expansion of the number pi. **Listen here!** (mine played in Quicktime)

A couple applications of this one for the classroom:

- Even algebra students know what pi is. It might help them to appreciate the randomness (and thus irrational nature) of the decimal expansion. The drum accents the distribution of zeros in the decimal expansion.
- In Math for Elemtary Teachers, we teach alternate bases. Here is a great example of a practical application of that… mapping base 10 to base 12 so that it will correspond one-to-one with the chromatic musical scale.
- For students that are interested in music composition, send them to the blog post on 360 to read more about how both math and composition were used to write the song.

I’d love to have a set of these “songs” to illustrate decimals by sound. (in case anyone is feeling especially energetic today)

- pi (irrational)
- e (irrational)
- 1/5 (rational, one digit… period… BORING!)
- 1/3 (rational, one repeated digit… hear how boring it is)
- 1/11 (rational, two repeated digits… still boring)
- 1/7 (rational, six repeated digits)
- sqrt(3) (back to irrational)

Now we ask students to categorize these, based on the **sound** … and then explain their results!

- sqrt(0.25)
- sqrt(o.o25)
- 1/22
- 1/19
- pi/3

Who says teaching algebra isn’t fun? Anyone want to volunteer to create the sound files? There’s a “how to” on the 360 blog.

**Possibly Related Posts:**

- Group Exploration in Math
- Level Up: Video Games for Learning Algebra
- Coming out of the Closet: I’m a Game Designer!
- Copyright Math
- Scale of the Universe

I love the idea (no time). Your always thinking outside the box.

Now I need to see if our lecturns can play the audio.

Maybe send the calc students in to to create the audio and have them share it with the algebra students (always nice to use free labor – sorry students).

There’s a box? Who knew!

Thanks for a fascinating pointer!

# 1/3 (rational, one repeated digit… hear how boring it is)If you translate .33333… to base 12, it becomes .4 — even more boring!

There’s a chart here.

Dozenal (I think it’s really called duodecimal)

1/2 = 6

1/3 = 4

1/4 = 3

1/5 = 2.4972 4972 4972

1/6 = 2

1/7 = 1.86A351 86A351 86A351

1/8 = 1.6

1/9 = 1.4

1/A = 1.2497 2497 2497

Hi

Thanks for writing about this – it lead to a very interesting train ride home – I posted a follow up to this which may interest you:

http://www.walkingrandomly.com/?p=60

Mike