Posts Tagged ‘pi’

Musical Pi, Part 3

March 26, 2008

Finally, the last four tracks in the suite of π-based music, composed by Jon Turner. (See also part 1 and part 2.)

8. Quest 4 Pi 2
MM=288 175mm 2:26
The first part is the same as 1; after the central cadence on C, the harmony no longer changes, and this forms a coda. The guitar continues to shred the rhythm over the final C7sus harmony.
9. Circle of the Great Spirit 2
MM=72 94mm 4/4 5:13
19 digits of π, theme of 1, in 4/4 with variations:
Introduction: 457/0.
Theme: 31848/9 0/5 949/1 3B/6 9186/2 64/1 -4/0 5/0 7/0.
Variation 1: each duration is divided into two half-length durations.
(Variation 2: is track 1 above, CGS1, in triple meter, 3/4.)
Variation 3: durations are divided into 4, creating a rhythmic crescendo typical of classical variations.
Theme: closing anthem.
Coda: 457/0 eight times.

Bonus track(s):

10. Arc Tango X
MM=170 784mm 4/4 18:06
Same as 2, but continues way beyond 160 to 768.
Long jam already, in flux, could go way beyond…
11. Quest 4 Pi complete
MM=288 341mm 4:44
Finished on FZ birthday 07!
1 and 2 continuous.

Musical Pi, Part 2

March 19, 2008

Following up (at long last) on Musical Pi, Part 1, we present the remaining nine pieces (plus bonus tracks!) in the suite of music based on π, composed by Jon Turner, professor of musical composition at Nazareth. (see also part 1 and part 3) Click for the next 7 pieces.

Turning Sequences into Blankets

March 16, 2008

pi-pattern-1-many-colors.jpgSuppose you want to make a blanket (or placemat, or wall hanging,…) and you want it to be, you know, mathy. One way is to pick your favorite sequence of positive integers and use that sequence to create the blanket. Click here to see how (and to discover how the picture to the left is a representation of the first 9 digits of pi).

Musical Pi, Part 1

January 27, 2008

Jon Turner, a professor of musical composition here at Nazareth, has composed a suite of music based on π! (see also part 2 and part 3) As he says:

The basic idea is to use the decimal expansion of pi to give an unendingly varying [but] related series of notes.

The first step was to convert π to base 12 (to match the chromatic musical scale), so

\pi = 3.1415926535\ldots_{10} = 3.184809493B\ldots_{12}

(where B represents decimal 11 in base 12). Starting with C at 0, he gets

\pi = E\flat D\flat A\flat E A\flat C\ldots

Hear the result!