SandBox
This is the sandbox. To experiment with editing, click on the [Edit] tab.
The Electrum temperaments are a group of rank-2 temperaments proposed by Iwuqety, inspired by the idea of using the acoustic phi (golden ratio [math]\displaystyle{ φ }[/math]) and acoustic silver ratio [math]\displaystyle{ δ_s }[/math] as generators, respectively replacing the 3/2 perfect fifth and the 2/1 octave used in common practice music. Electrum refers to naturally-occurring alloy which is mainly made up of gold and silver.
Untempered version (arranged in quasi-Pythagorean fashion)
Intervals with hyper-generator [math]\displaystyle{ φ }[/math] | Intervals with hypo-generator [math]\displaystyle{ φ^{-1} }[/math] | ||||
---|---|---|---|---|---|
In terms of metallic ratios | In surd form | Absolute cents | In terms of metallic ratios | In surd form | Absolute cents |
1 | 0 | [math]\displaystyle{ δ_s }[/math] | [math]\displaystyle{ \frac{1 + sqrt\{2}{2}} }[/math] | 1525.854 | |