User:R-4981/Pepsi

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A graphical expression of the interval chain of the Pepsi.

The Pepsi[idiosyncratic term], one of "irregular" temperament, is constructed by the repetition of power of √3 starting from 3/2 (701.955¢). It can also be regarded as a Regular temperament on the logarithmic axis, i.e., a sequence of intervals with double exponentiational increment ([math]\displaystyle{ 702\cdot2^{3^{n/2}} }[/math]¢).

at first glance this temperament exhibits characteristics similar to Redbull, the direction of its potential use value is fundamentally different because of the different construction methods. Also, since the double index is not a tetration (obvious), this scale cannot be expressed in EDSO or Super-pitchies.

Interval chains

701.955 15.822 905.865 47.465 317.595 142.396 952.785 427.187 458.355 81.56 175.065 244.679 525.196 734.038 375.587 1002.115 1126.761 606.345 ...
3/2 64/63 27/16 36/35 6/5 13/12 19/11 9/7 13/10 21/20 35/32 15/13 35/26 50/33 56/45 9/5 21/11 45/32 ...

See also

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