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| WIP | | WIP |
| | | '''Sqrttwo''' is an [[arithmetic temperament]] using -1+√2 as a generator. |
| '''Sqrttwo''' is an [[arithmetic temperament]] using √2 (or the 600-cent tritone) as a [[generator]]. | |
| | |
| == Interval chain == | | == Interval chain == |
| {| class="wikitable"
| |
| ! Generators
| |
| ! Cents
| |
| ! Decimal
| |
| |-
| |
| | 0
| |
| | 0.0
| |
| | 1.0000
| |
| |-
| |
| | 1
| |
| | 600.0
| |
| | 1.4142
| |
| |-
| |
| | 2
| |
| | 1044.7
| |
| | 1.8284
| |
| |-
| |
| | 3
| |
| | 376.1
| |
| | 1.2426
| |
| |-
| |
| | 4
| |
| | 874.1
| |
| | 1.6569
| |
| |-
| |
| | 5
| |
| | 118.9
| |
| | 1.0711
| |
| |-
| |
| | 6
| |
| | 684.9
| |
| | 1.4853
| |
| |-
| |
| | 7
| |
| | 1110.7
| |
| | 1.8995
| |
| |-
| |
| | 8
| |
| | 472.4
| |
| | 1.3137
| |
| |-
| |
| | 9
| |
| | 946.8
| |
| | 1.7279
| |
| |}
| |
|
| |
| == [[ADO]]s supporting sqrttwo arithmetic temperament ==
| |
| {| class="wikitable"
| |
| ! ADO
| |
| ! Generator
| |
| ! Cents
| |
| ! Decimal
| |
| |-
| |
| | [[5ado]]
| |
| | [[7/5]]
| |
| | 582.5
| |
| | 1.4000
| |
| |-
| |
| | [[7ado]]
| |
| | [[10/7]]
| |
| | 617.5
| |
| | 1.4285
| |
| |-
| |
| | [[12ado]]
| |
| | [[17/12]]
| |
| | 603.0
| |
| | 1.4166
| |
| |-
| |
| | [[17ado]]
| |
| | [[24/17]]
| |
| | 597.0
| |
| | 1.4117
| |
| |-
| |
| | [[29ado]]
| |
| | [[41/29]]
| |
| | 599.5
| |
| | 1.4137
| |
| |}
| |
| [[Category:Temperaments]]
| |
| [[Category:Arithmetic temperaments]]
| |