105/64: Difference between revisions

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+'''105/64''' is a [[7-limit]] neutral sixth and is 857.095{{c}} wide. It might be called a septimal neutral sixth.
-'''105/64''' is a [[7-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 0.048{{c}}, 1/7 of an [[akjaysma]]. In addition, it only differs from the large tridecimal neutral sixth ([[64/39]]) by [[4096/4095]]. When we also consider that 105/64 can be thought of as the [[octave reduction|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]]s, though so far this idea has not been tested.
-When used as a generator, it approximates [[7edo]] as the 6th note of the scale; the [[Akjaysma|difference between 5\7 and 105/64]] is 0.048¢. In addition, it only differs from the large tridecimal neutral sixth ([[64/39]]) by a schismina ([[4096/4095]]). 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]]s, though so far this idea has not been tested.
 == See also ==