105/64: Difference between revisions

{{Infobox Interval|Ratio=105/64|Monzo=-6 1 1 1|Cents=857.094621|Name=septimal neutral sixth}}

'''105/64''' is a 7 [[Prime limit|prime-limit]] neutral sixth and is 857.095¢ wide. It might be called a septimal neutral sixth.

When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the difference between 5\7 and 105/64 is 0.048236¢. When we also consider that 105/64 can be thought of as the octave reduced greatest common factor of 3, 5, and 7, 105/64 and its octave equivalents might be used to tune 7edo on a stringed instrument via [[Harmonic|harmonics]], though so far this idea has not been tested.