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{{SandBox please edit after this line}}
[[Category:Sandboxes]] {{SandBox please edit after this line}}
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_s</math> as generators, 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)==
{{nowrap|''Iθ''{{"}} + ''bθ''{{``}} + ''mgL''&thinsp;sin(''θ'') {{=}} 0}}
{| class="wikitable"
 
|+
702
Period = <math>δ_s</math>
 
! colspan="3" |Intervals with hyper-generator <math>φ</math>
fafshdtharsgdasjdkhajsgdh
! colspan="3" |Intervals with hypo-generator <math>φ^{-1}</math>
 
|-
Test
!In terms of metallic ratios
 
!In surd form
hi
!Absolute cents
 
!In terms of metallic ratios
== 29L 12s, ig. ==
!In surd form
 
!Absolute cents
{{Infobox MOS|Scale Signature=29L 12s|debug=1}}
|-
 
| colspan="2" |1
{{MOS intro|Scale Signature = 29L 12s}}
|0
 
|<math>δ_s</math>
=== Scale properties ===
|<math>1 + \sqrt{2}</math>
{{TAMNAMS use|Scale Signature=29L 12s}}
|1525.854
 
|-
==== Intervals ====
|<math>φ</math>
{{MOS intervals|Scale Signature=29L 12s}}
|<math>\frac{1 + \sqrt{5}}{2}</math>
 
|833.090
==== Generator chain ====
|<math>{δ_s} {φ^{-1}}</math>
{{MOS genchain|Scale Signature=29L 12s}}
|<math>\frac{(1+ \sqrt{2})(\sqrt{5} - 1)}{2}</math>
 
|692.764
==== Modes ====
|-
{{MOS mode degrees|Scale Signature=29L 12s}}
|<math>{δ_s^{-1}} {φ^2}</math>
 
|<math>\frac{(3+ \sqrt{5})(\sqrt{2} - 1)}{2}</math>
=== Scale tree ===
|140.326
{{MOS tuning spectrum|Scale Signature=29L 12s}}
|<math>{δ_s^{2}} {φ^{-2}}</math>
|<math>\frac{(3 + 2 \sqrt{2})(3 - \sqrt{5})}{2}</math>
|1385.528
|}