Sqrttwo: Difference between revisions

@@ Line 1: / Line 1: @@
-WIP
+{{Novelty}}
+'''Sqrttwo''' is an [[User:CompactStar/Arithmetic interval chain|arithmetic interval chain]] using √2-1 as a [[generator]].
-'''Sqrttwo''' is an [[arithmetic temperament]] using √2 (or the 600-cent tritone) as a [[generator]].
 == Interval chain ==
-{| class="wikitable"
+{|class="wikitable"
-! Generators
-! Cents
-! Decimal
 |-
-| 0
+!Generators up
-| 0.0
+!Cents
-| 1.0000
+!Decimal
 |-
-| 1
+|0
-| 600.0
+|0.0
-| 1.4142
+|1.0000
 |-
-| 2
+|1
-| 1044.7
+|600.0
-| 1.8284
+|1.4142
 |-
-| 3
+|2
-| 376.1
+|1044.7
-| 1.2426
+|1.8284
 |-
-| 4
+|3
-| 874.1
+|198.2
-| 1.6569
+|1.1213
 |-
-| 5
+|4
-| 118.9
+|491.7
-| 1.0711
+|1.3284
 |-
-| 6
+|5
-| 684.9
+|742.5
-| 1.4853
+|1.5355
+|}
+== Just/[[ADO]] tunings ==
+{|class="wikitable"
 |-
-| 7
+!Just generator
-| 1110.7
+!Decimal
-| 1.8995
 |-
-| 8
+|2/5
-| 472.4
+|0.4000
-| 1.3137
 |-
-| 9
+|3/7
-| 946.8
+|0.4286
-| 1.7279
-|}
-== [[ADO]]s supporting sqrttwo arithmetic temperament ==
-{| class="wikitable"
-! ADO
-! Generator
-! Cents
-! Decimal
 |-
-| [[5ado]]
+|5/12
-| [[7/5]]
+|0.4167
-| 582.5
-| 1.4000
 |-
-| [[7ado]]
+|7/17
-| [[10/7]]
+|0.4118
-| 617.5
-| 1.4285
 |-
-| [[12ado]]
+|12/29
-| [[17/12]]
+|0.4138
-| 603.0
-| 1.4166
 |-
-| [[17ado]]
+|17/41
-| [[24/17]]
+|0.4146
-| 597.0
-| 1.4117
 |-
-| [[29ado]]
+|29/70
-| 41/29
+|0.4143
-| 599.5
-| 1.4137
 |}
-[[Category:Temperaments]]
+[[Category:Arithmetic interval chains]]
-[[Category:Arithmetic temperaments]]