[HN Gopher] Prime and Fibonacci Numbers in Music
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       Prime and Fibonacci Numbers in Music
        
       Author : cbracketdash
       Score  : 37 points
       Date   : 2021-05-28 21:34 UTC (2 days ago)
        
 (HTM) web link (github.com)
 (TXT) w3m dump (github.com)
        
       | Mediterraneo10 wrote:
       | This has been done many times before. Composers who explicitly
       | based their rhythms on the Fibonacci sequence include Per Norgard
       | and Sofia Gubaidulina. (While Bartok is sometimes said to have
       | done so, evidence is lacking.) Brian Ferneyhough makes use of
       | prime numbers in one scene from his opera _Shadowtime_.
       | 
       | In the popular-music world, BT wrote a Fibonacci-sequence tune
       | that was a club hit in 1999.
        
         | Grazester wrote:
         | I came here to drop BT's name. Also see his song 1.618 based on
         | the Golden ratio
         | 
         | https://www.youtube.com/watch?v=ybgsUo5kcyM
        
       | IAmGraydon wrote:
       | Reminds me of the harmonic progression in "Virtual Insanity" by
       | Jamiroquai.
        
       | weatherlight wrote:
       | https://en.wikipedia.org/wiki/Lateralus_(song)
        
       | E_Alman wrote:
       | The song Lateralus by the band Tool, is all based on the
       | Fibonacci sequence, and it's a masterpiece. Here goes the link if
       | someone is curious: https://www.youtube.com/watch?v=Y7JG63IuaWs
       | 
       | Enjoy :)
        
         | twirlock wrote:
         | Perhaps the most pretentious gimmick in the history of recorded
         | music.
        
       | capnorange wrote:
       | konnakol https://youtu.be/ZAVZtCZV9aI
        
       | cbracketdash wrote:
       | I also posted the source code on Github:
       | https://github.com/Polydynamical/fibprimes
        
         | motohagiography wrote:
         | > " In other words, the Fibonacci numbers mod 7 are cyclic
         | after 16 numbers and that cycle is used for the bottom notes."
         | 
         | To my naive view, that's really interesting. Whereas duodecimal
         | number systems fell out of cultural fashion around the world,
         | we have settled on one in the chromatic scale of western music
         | and the way we often develop an intuition for the proportions
         | and symmetries in music is using a mod/base-12 system. I have
         | no real insight to add other than to just appreciate the
         | coincidence that the periodicity of this cycle sounds nice. The
         | idea that music can be discovered is just appealing.
        
           | dehrmann wrote:
           | The magic of having 12 equally spaced notes in the chromatic
           | scale is that specific important intervals are closely
           | approximated by ratios of small integers, and you can
           | transpose a piece to any key (this doesn't work if you tune
           | to exact ratios). Small, integer ratios supposedly mean the
           | frequencies will sound similar or related because the peaks
           | and troughs sync up every 2-5 cycles.
           | 
           | I say supposedly because studies have found remote tribes,
           | played the, the same note, but in different octaves, and
           | asked if they're the same of different. A lot of people
           | couldn't associate that they're the same, which would imply
           | these ratios aren't actually important. I have serious doubts
           | about these studies, though; from a signal processing
           | perspective, 440 Hz and 880 Hz are related at a physical
           | level, so it's surprising that recognizing this similarity
           | isn't almost innate.
        
       | hammock wrote:
       | Cantus for Benjamin Britton is based on a simpler linear
       | sequence. And beautiful
        
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       (page generated 2021-05-30 23:01 UTC)