Sqrttwo
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| This page presents a novelty topic. It may contain ideas which are less likely to find practical applications in xenharmonic music, or numbers that are impractically large, exceedingly complex, or chosen arbitrarily.
Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
Sqrttwo is an arithmetic interval chain 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/ADO tunings
| 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 |