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Map of rank-2 temperaments: Difference between revisions

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Please make sure each fraction of an octave is always the [[mediant]] of the ones directly above and below.
Please make sure each fraction of an octave is always the [[mediant]] of the ones directly above and below.
Interactive maps of ''all'' linear temperaments with octave, half-octave, third-octave, or tritave period that are logged on the wiki are available [https://hkm2685.github.io/temperament-map/rank2/viewer/ here].


== One period per octave ==
== One period per octave ==
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== Eight periods per octave ==
== Eight periods per octave ==
{{todo| complete table| comment=Add Twilight temperament (optimal ETs 152, 328, 480, 808) and Octium temperament (472, 1400, 1872)}}
{{Todo| complete table |comment=Add Twilight temperament (optimal ETs 152, 328, 480, 808)}}
 
{| class="wikitable sortable mw-collapsible"
{| class="wikitable sortable mw-collapsible"
! colspan="8" | Generator
! colspan="8" | Generator
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|  
|  
| 0
| 0
|
|-
|
|
|
|
| 1\480
|
|
|
| 2.5
|
|-
|
|
|
|
| 1\472
|
|
|
| 2.542
| [[Octium]]
|-
|
|
|
|
|
|
| 4\1872
|
| 2.564
| Octium
|-
|
|
|
|
|
|
|
| 7\3272
| 2.567
| Octium
|-
|
|
|
|
|
| 3\1400
|
|
| 2.571
| Octium
|-
|
|
|
|
| 1\464
|
|
|
| 2.586
|
|-
|
|
|
|
| …
|
|
|
|
|
|-
|
|
|
|
| 1\96
|
|
|
| 12.5
|
|-
|
|
|
|
| 1\88
|
|
|
| 13.635
|  
|  
|-
|-
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|  
|  
| 42.636
| 42.636
| [[Hendecatonic]]
| [[Hendecatonic (temperament)|Hendecatonic]]
|-
|-
|  
|  
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|  
|  
| 48.485
| 48.485
| Hendecatonic/[[Cohendecatonic]]
| Hendecatonic / [[cohendecatonic]]
|-
|-
|  
|  
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