Sqrttwo: Difference between revisions
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| Line 22: | Line 22: | ||
|- | |- | ||
| 3 | | 3 | ||
| 376. | | 376.1 | ||
| 1.2426 | | 1.2426 | ||
|- | |- | ||
| 4 | | 4 | ||
| 874.1 | | 874.1 | ||
| 1. | | 1.6569 | ||
|- | |- | ||
| 5 | | 5 | ||
| 118. | | 118.9 | ||
| 1. | | 1.0711 | ||
|- | |- | ||
| 6 | | 6 | ||
| 684. | | 684.9 | ||
| 1. | | 1.4853 | ||
|- | |- | ||
| 7 | | 7 | ||
| 1110.7 | | 1110.7 | ||
| 1. | | 1.8995 | ||
|- | |- | ||
| 8 | | 8 | ||
| 472.4 | | 472.4 | ||
| 1.3137 | | 1.3137 | ||
|- | |||
| 9 | |||
| 946.8 | |||
| 1.7279 | |||
|} | |} | ||
Revision as of 03:14, 2 March 2023
WIP
Sqrttwo is an arithmetic temperament using √2 (or the 600-cent tritone) as a generator.
Interval chain
| 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 |
ADOs supporting sqrttwo arithmetic temperament
| 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 |