105/64: Difference between revisions

Line 1:

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

{{Infobox Interval

| Ratio = 105/64

| Monzo = -6 1 1 1

| Cents = 857.094621

| Name = septimal neutral sixth

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

}}

'''105/64''' is a 7 [[Prime limit|prime-limit]] neutral sixth and is 857.095¢ 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 0.048236¢. 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.

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]]s, though so far this idea has not been tested.

== See also ==

* [[Gallery of just intervals]]

~~[[Category:Just interval]]~~

[[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}}
+{{Infobox Interval
+| Ratio = 105/64
+| Monzo = -6 1 1 1
+| Cents = 857.094621
+| Name = septimal neutral sixth
+| FJS name = M6<sup>35</sup>
+}}
-'''105/64''' is a 7 [[Prime limit|prime-limit]] neutral sixth and is 857.095¢ 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 0.048236¢. 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.
+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]]s, though so far this idea has not been tested.
+== See also ==
+* [[Gallery of just intervals]]
-[[Category:Just interval]]
 [[Category:7-limit]]
+[[Category:Interval]]
+[[Category:Sixth]]
+[[Category:Neutral sixth]]
+[[Category:Overtone]]