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posted by LaminatorX on Saturday March 22 2014, @08:45AM   Printer-friendly
from the irrational-exuberance dept.

jorl17 writes:

"Brady Haran over at Numberphile has brought us an amazing experimental track based on Pi. Everything follows patterns of the irrational number, and the result is a mind-blowing progressive rock song. This expands upon the concept first tried with the Golden Ratio song. Notice the length of the video?"

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  • (Score: 4, Informative) by DeKO on Saturday March 22 2014, @04:22PM

    by DeKO (3672) on Saturday March 22 2014, @04:22PM (#19732)

    The 12-TET is far from arbitrary. Read up on the history of scales, and you will see that there was no lack of conventions on how to create them. See this for instance []:"

    The twelve-tone equal-tempered scale is the smallest equal-tempered scale that contains all seven of the basic consonant intervals to a good approximation — within one percent.

    In other words, 12-TET is both mathematically sound, and outlived nearly every alternative ever devised.

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  • (Score: 0) by Anonymous Coward on Sunday March 23 2014, @09:17PM

    by Anonymous Coward on Sunday March 23 2014, @09:17PM (#19992)

    Why 1%?
    Why not 0.979534234987976 percent?

    Seems pretty arbitrary to me.

    • (Score: 1) by DeKO on Monday March 24 2014, @03:30AM

      by DeKO (3672) on Monday March 24 2014, @03:30AM (#20068)

      Sorry, I didn't use the full quote, it ends with:

      ... and contains more consonant intervals than dissonant intervals.

      The 12-TET is a local minimum regarding the approximation to the ratios, the next best approximation is the 53-TET (with 31 and 41 coming close). They are, however, full of dissonant intervals, so most of the notes would never be used anyways. The 1% is not an arbitrary choice, it just happens to be within 1%, all near possibilities are much worse than 1%.