Sqrttwo: Difference between revisions
Jump to navigation
Jump to search
CompactStar (talk | contribs) No edit summary |
CompactStar (talk | contribs) No edit summary |
||
| Line 60: | Line 60: | ||
| [[7ado]] | | [[7ado]] | ||
| [[10/7]] | | [[10/7]] | ||
| 617. | | 617.5 | ||
| 1.4285 | | 1.4285 | ||
|- | |- | ||
| Line 70: | Line 70: | ||
| [[17ado]] | | [[17ado]] | ||
| [[24/17]] | | [[24/17]] | ||
| | | 597.0 | ||
| 1.4117 | | 1.4117 | ||
|- | |- | ||
| [[29ado]] | | [[29ado]] | ||
| 41/29 | | 41/29 | ||
| 599. | | 599.5 | ||
| 1.4137 | | 1.4137 | ||
|} | |} | ||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||
[[Category:Arithmetic temperaments]] | [[Category:Arithmetic temperaments]] | ||
Revision as of 03:10, 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 | 376.0 | 1.2426 |
| 4 | 874.1 | 1.6568 |
| 5 | 118.8 | 1.0710 |
| 6 | 684.8 | 1.4852 |
| 7 | 1110.7 | 1.8994 |
| 8 | 472.4 | 1.3137 |
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 |