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The 833 cents scale is a musical tuning and scale proposed by Heinz Bohlen based on combination tones, an interval of 833.09 cents, and, coincidentally, the Fibonacci sequence. The golden ratio is , which as a musical interval is 833.09 cents. In the 833 cents scale this interval is taken as an alternative to the octave as the interval of repetition, however the golden ratio is not regarded as an equivalent interval (notes 833.09 cents apart are not "the same" in the 833 cents scale the way notes 1200 cents apart are in traditional tunings). Other music theorists such as , in his 1993 "The Tonality of the Golden Section", and appear to have also created this scale prior to Bohlen's discovery of it.

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  • The 833 cents scale is a musical tuning and scale proposed by Heinz Bohlen based on combination tones, an interval of 833.09 cents, and, coincidentally, the Fibonacci sequence. The golden ratio is , which as a musical interval is 833.09 cents. In the 833 cents scale this interval is taken as an alternative to the octave as the interval of repetition, however the golden ratio is not regarded as an equivalent interval (notes 833.09 cents apart are not "the same" in the 833 cents scale the way notes 1200 cents apart are in traditional tunings). Other music theorists such as , in his 1993 "The Tonality of the Golden Section", and appear to have also created this scale prior to Bohlen's discovery of it. (en)
  • 黄金比音律(おうごんひおんりつ)または833セントスケールは、833.09セントの音程の組み合わせで構成される音律であり、フィボナッチ数列に基づく。黄金比は であり、この比を音程に換算すると833.09セント( )に相当する。 (ja)
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  • November 2018 (en)
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  • Tetrachord, steps: 0, 3, 4, 7 (en)
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  • Trichord, steps: 0, 4, 7 (en)
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  • The 833 cents scale is a musical tuning and scale proposed by Heinz Bohlen based on combination tones, an interval of 833.09 cents, and, coincidentally, the Fibonacci sequence. The golden ratio is , which as a musical interval is 833.09 cents. In the 833 cents scale this interval is taken as an alternative to the octave as the interval of repetition, however the golden ratio is not regarded as an equivalent interval (notes 833.09 cents apart are not "the same" in the 833 cents scale the way notes 1200 cents apart are in traditional tunings). Other music theorists such as , in his 1993 "The Tonality of the Golden Section", and appear to have also created this scale prior to Bohlen's discovery of it. (en)
  • 黄金比音律(おうごんひおんりつ)または833セントスケールは、833.09セントの音程の組み合わせで構成される音律であり、フィボナッチ数列に基づく。黄金比は であり、この比を音程に換算すると833.09セント( )に相当する。 (ja)
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  • 833 cents scale (en)
  • 黄金比音律 (ja)
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