Sqrttwo

From Xenharmonic Wiki
Jump to navigation Jump to search
This page presents a novelty topic. It features ideas which are less likely to find practical applications in xenharmonic music. It may contain 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 feature idiosyncratic terms, notations, 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