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! colspan="3" |Intervals with hyper-generator <math>φ</math> | ! colspan="3" |Intervals with hyper-generator <math>φ</math> | ||
! colspan="3" |Intervals with hypo-generator <math>φ^-1</math> | ! colspan="3" |Intervals with hypo-generator <math>φ^{-1}</math> | ||
|- | |- | ||
!In terms of metallic ratios | !In terms of metallic ratios | ||
Revision as of 07:40, 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] | 1525.854 | ||