2edf: Difference between revisions

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'''~~2EDF~~''', if the attempt is made to use it as an actual scale, would divide the [[just perfect fifth]] into two equal parts, each of size 350.9775 ~~cents~~, which is to say sqrt(3/2) as a frequency ratio. It corresponds to 3.4190 [[edo]]. If we want to consider it to be a temperament, it tempers out [[6/5]], [[9/7]], [[32/27]], and [[81/80]] in the patent val.

'''2edf''', if the attempt is made to use it as an actual scale, would divide the [[just perfect fifth]] into two equal parts, each of size 350.9775 [[cent]]s, which is to say sqrt (3/2) as a frequency ratio. It corresponds to 3.4190 [[edo]]. If we want to consider it to be a temperament, it tempers out [[6/5]], [[9/7]], [[32/27]], and [[81/80]] in the patent val.

==Factoids about ~~2EDF~~==

== Factoids about 2edf ==

60/49 and 49/40 are [[Nearest just interval|good rational representations]] of the square root of 3/2.

~~2EDF~~ is ~~closely related~~ to the [[~~Breedsmic temperaments|~~hemififths ~~temperament~~]], which tempers out 2401/2400 and 5120/5103 in the 7-limit.

2edf's step size is close to the generator of the [[hemififths]] temperament, which tempers out 2401/2400 and 5120/5103 in the 7-limit.

== Intervals ==

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! Cents

|-

|1

| 1

|350.98

| 350.98

|-

|2

| 2

|701.96

| 701.96

|}

[[Category:Edf]]

[[Category:Edonoi]]

@@ Line 1: / Line 1: @@
-'''2EDF''', if the attempt is made to use it as an actual scale, would divide the [[just perfect fifth]] into two equal parts, each of size 350.9775 cents, which is to say sqrt(3/2) as a frequency ratio. It corresponds to 3.4190 [[edo]]. If we want to consider it to be a temperament, it tempers out [[6/5]], [[9/7]], [[32/27]], and [[81/80]] in the patent val.
+'''2edf''', if the attempt is made to use it as an actual scale, would divide the [[just perfect fifth]] into two equal parts, each of size 350.9775 [[cent]]s, which is to say sqrt (3/2) as a frequency ratio. It corresponds to 3.4190 [[edo]]. If we want to consider it to be a temperament, it tempers out [[6/5]], [[9/7]], [[32/27]], and [[81/80]] in the patent val.
-==Factoids about 2EDF==
+== Factoids about 2edf ==
 /49 and 49/40 are [[Nearest just interval|good rational representations]] of the square root of 3/2.
-EDF is closely related to the [[Breedsmic temperaments|hemififths temperament]], which tempers out 2401/2400 and 5120/5103 in the 7-limit.
+edf's step size is close to the generator of the [[hemififths]] temperament, which tempers out 2401/2400 and 5120/5103 in the 7-limit.
 == Intervals ==
@@ Line 11: / Line 11: @@
 ! Cents
 |-
-|1
+| 1
-|350.98
+| 350.98
 |-
-|2
+| 2
-|701.96
+| 701.96
 |}
 [[Category:Edf]]
 [[Category:Edonoi]]