105/64: Difference between revisions

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{{Infobox Interval

~~| Ratio = 105/64~~

~~| Monzo = -6 1 1 1~~

~~| Cents = 857.094621~~

| Name = septimal neutral sixth

| ~~FJS~~ name = ~~M6<sup>35</sup>~~

| Color name = zy6, zoyo 6th

}}

'''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-[[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 0.048{{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 difference between 5\7 and 105/64 is 0.~~048¢~~. In addition, it only differs from the ~~[[64/39|~~large tridecimal neutral sixth (64/39)]] by a [[4096/4095~~|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 ==

* [[Gallery of just intervals]]

~~[[Category:7-limit]]~~

~~[[Category:Interval]]~~

[[Category:Sixth]]

[[Category:Neutral sixth]]

~~[[Category:Overtone]]~~

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 105/64
-| Monzo = -6 1 1 1
-| Cents = 857.094621
 | Name = septimal neutral sixth
-| FJS name = M6<sup>35</sup>
+| Color name = zy6, zoyo 6th
 }}
+'''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-[[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 0.048{{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 difference between 5\7 and 105/64 is 0.048¢. In addition, it only differs from the [[64/39|large tridecimal neutral sixth (64/39)]] by a [[4096/4095|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 ==
 * [[Gallery of just intervals]]
-[[Category:7-limit]]
-[[Category:Interval]]
 [[Category:Sixth]]
 [[Category:Neutral sixth]]
-[[Category:Overtone]]