SandBox: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Iwuqety (talk | contribs)
No edit summary
ArrowHead294 (talk | contribs)
mNo edit summary
 
(46 intermediate revisions by 8 users not shown)
Line 1: Line 1:
{{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, 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)==
~~<noinclude />~~
{| class="wikitable"
 
|+
833.090{{c}}
! colspan="3" |Intervals with hyper-generator <math>φ</math>
! colspan="3" |Intervals with hypo-generator <math>φ^{-1}</math>
|-
!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_s</math>
|<math>\frac{1 + sqrt\2}{2}</math>
|1525.854
|-
|
|
|
|
|
|
|-
|
|
|
|
|
|
|}

Latest revision as of 16:06, 6 August 2025


This is the sandbox. To experiment with editing, click on the [Edit] tab.

~~~~

833.090 ¢