105/64: Difference between revisions

Line 4:

| Cents = 857.094621

| Name = septimal neutral sixth

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

| Color name = zoyo 6th, zy6

| FJS name = M6<sup>5,7</sup>

| Sound =

}}

'''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-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¢. 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.

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 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 ==

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[[Category:7-limit]]

~~[[Category:Interval]]~~

[[Category:Sixth]]

[[Category:Neutral sixth]]

[[Category:~~Overtone~~]]

[[Category:Harmonics]]

@@ Line 4: / Line 4: @@
 | Cents = 857.094621
 | Name = septimal neutral sixth
-| FJS name = M6<sup>35</sup>
+| Color name = zoyo 6th, zy6
+| FJS name = M6<sup>5,7</sup>
+| Sound =
 }}
-'''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-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¢. 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.
+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 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 ==
@@ Line 15: / Line 17: @@
 [[Category:7-limit]]
-[[Category:Interval]]
 [[Category:Sixth]]
 [[Category:Neutral sixth]]
-[[Category:Overtone]]
+[[Category:Harmonics]]