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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]φ[/math]) and acoustic silver ratio [math]δ<sub>s</sub>[/math] as generators, respectively replacing the [[3/2]] perfect fifth and the [[2/1]] octave used in common practice music. [[wikipedia:Electrum|Electrum]] refers to naturally-occurring alloy which is mainly made up of gold and silver. | |||
== Untempered version (arranged in quasi-Pythagorean fashion) == | |||
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|+ | |||
! colspan="3" | | |||
! colspan="3" | | |||
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!In terms of | |||
metallic ratios | |||
!In surd form | |||
!Absolute cents | |||
!In terms of metallic ratios | |||
!In surd form | |||
!Absolute cents | |||
|- | |||
| colspan="2" |1 | |||
|0 | |||
|[math]δ<sub>s</sub>[/math] | |||
|<nowiki>[math]\frac {1 + \sqrt{2}}{2}[/math]</nowiki> | |||
|1525.854 | |||
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Revision as of 07:21, 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]φ[/math]) and acoustic silver ratio [math]δs[/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)
| In terms of
metallic ratios |
In surd form | Absolute cents | In terms of metallic ratios | In surd form | Absolute cents |
|---|---|---|---|---|---|
| 1 | 0 | [math]δs[/math] | [math]\frac {1 + \sqrt{2}}{2}[/math] | 1525.854 | |