User:Moremajorthanmajor/4wtn: Difference between revisions

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'''4WTN''', if the attempt is made to use it as an actual scale, would alternate dividing 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, ~~and~~ two equal steps of another interval between 300 and 400 cents. This will create ~~three equally-spaced intervals~~ between an interval between 600 and 800 cents and the just perfect fifth. 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.

'''4WTN''', if the attempt is made to use it as an actual scale, would optimally alternate dividing 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, alternating these with two equal steps of another interval between 300 and 400 cents. This will create an interval exactly halfway between an interval between 600 and 800 cents and the just perfect fifth. 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 4WTN==

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!''“fifth” 2 = 800¢''

|-

|1

!1

| colspan="5" |350.9775

! colspan="5" |350.9775

|-

|2

!2

| colspan="5" |701.955

! colspan="5" |701.955

|-

|3

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|''1501.955''

|}

[[Category:Well tempered nonet]]

@@ Line 1: / Line 1: @@
-'''4WTN''', if the attempt is made to use it as an actual scale, would alternate dividing 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, and two equal steps of another interval between 300 and 400 cents. This will create three equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth. 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.
+'''4WTN''', if the attempt is made to use it as an actual scale, would optimally alternate dividing 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, alternating these with two equal steps of another interval between 300 and 400 cents. This will create an interval exactly halfway between an interval between 600 and 800 cents and the just perfect fifth. 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 4WTN==
@@ Line 16: / Line 16: @@
 !''“fifth” 2 = 800¢''
 |-
-|1
+!1
-| colspan="5" |350.9775
+! colspan="5" |350.9775
 |-
-|2
+!2
-| colspan="5" |701.955
+! colspan="5" |701.955
 |-
 |3
@@ Line 36: / Line 36: @@
 |''1501.955''
 |}
+[[Category:Well tempered nonet]]