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| Line 18: | Line 18: | ||
|0 | |0 | ||
|<math>δ_s</math> | |<math>δ_s</math> | ||
|<math>\frac{1 + sqrt\2}{2}</math> | |<math>\frac{1 + sqrt\{2}}{2}</math> | ||
|1525.854 | |1525.854 | ||
|- | |- | ||
Revision as of 07:44, 12 June 2021
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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 | |