It is one of the greatest mistakes in music to think that an octave is a doubling of frequency.
http://euroelectron.blogspot.gr/2015/06/octave-stretch.html
http://www.speech.kth.se/prod/publications/files/qpsr/1971/1971_12_1_051-067.pdf
http://www.mmk.ei.tum.de/persons/ter/top/octstretch.html
Below is the matrix for the Pleiades tuning for the DX7ii
http://euroelectron.blogspot.gr/2015/06/octave-stretch.html
http://www.speech.kth.se/prod/publications/files/qpsr/1971/1971_12_1_051-067.pdf
http://www.mmk.ei.tum.de/persons/ter/top/octstretch.html
Below is the matrix for the Pleiades tuning for the DX7ii
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