Sqrttwo: Difference between revisions
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== Just tunings == | == Just tunings == | ||
These tunings will require d-[[ADO]] for intervals 1 and 2, 2d-[[ADO]] for intervals 3-7, and 3d-[[ADO]] for intervals 8-16, where d is the denominator of the just generator. | |||
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Revision as of 04:43, 3 March 2023
Sqrttwo is an arithmetic temperament using √2-1 as a generator.
Interval chain
| Generators up | Cents | Decimal |
|---|---|---|
| 0 | 0.0 | 1.0000 |
| 1 | 600.0 | 1.4142 |
| 2 | 1044.7 | 1.8284 |
| 3 | 198.2 | 1.1213 |
| 4 | 491.7 | 1.3284 |
| 5 | 742.5 | 1.5355 |
Just tunings
These tunings will require d-ADO for intervals 1 and 2, 2d-ADO for intervals 3-7, and 3d-ADO for intervals 8-16, where d is the denominator of the just generator.
| Just generator | Decimal |
|---|---|
| 2/5 | 0.4000 |
| 3/7 | 0.4286 |
| 5/12 | 0.4167 |
| 7/17 | 0.4118 |
| 12/29 | 0.4138 |
| 17/41 | 0.4146 |
| 29/70 | 0.4143 |