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Map of rank-2 temperaments: Difference between revisions

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m →Twelve periods per octave: Correct broken see also
BudjarnLambeth (talk | contribs)
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Added 10 & 11 periods per octave
Line 3,873: Line 3,873:
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== Twelve periods per octave ==
== Ten periods per octave==
{{See also|Compton family}}
{| class="wikitable sortable mw-collapsible"
{| class="wikitable sortable mw-collapsible"
! colspan="8" | Generator
! colspan="7" |Generator
! Cents
!Cents
! Comments
!Comments
|-
|0\10
|
|
|
|
|
|
|0
|
|-
|1\110
|
|
|
|
|
|
|10.909
|
|-
|1\100
|
|
|
|
|
|
|12
|
|-
|
|2\190
|
|
|
|
|
|12.632
|[[Deca]]
|-
|1\90
|
|
|
|
|
|
|13.333
|Deca
|-
|1\80
|
|
|
|
|
|
|15
|Deca
|-
|1\70
|
|
|
|
|
|
|17.143
|
|-
|1\60
|
|
|
|
|
|
|20
|
|-
|1\50
|
|
|
|
|
|
|24
|[[Decimetra]]
|-
|
|
|
|4\190
|
|
|
|25.263
|Decimetra
|-
|
|
|
|
|7\330
|
|
|25.455
|Decimetra
|-
|
|
|
|
|
|
|17\800
|25.5
|Decimetra
|-
|
|
|
|
|
|10\470
|
|25.532
|Decimetra
|-
|
|
|3\140
|
|
|
|
|25.714
|Decimetra
|-
|
|2\90
|
|
|
|
|
|26.667
|Decimetra
|-
|1\40
|
|
|
|
|
|
|30
|[[Decic]]
|-
|
|
|3\110
|
|
|
|
|32.727
|Decic
|-
|-
| 0\12
| 
|  
|  
|2\70
|
|
|
|  
|  
|  
|  
|34.286
|Decic
|-
|
|
|
|4\170
|
|
|
|28.235
|Decic
|-
|
|
|3\100
|
|
|
|
|36
|Decic
|-
|1\30
|
|
|
|
|
|
|40
|Decic/[[decal]]
|-
|
|3\80
|
|
|
|
|
|45
|Decal/[[decistearn]]
|-
|
|
|
|8\210
|
|
|
|45.714
|Decal/decistearn
|-
|
|
|
|
|13\340
|
|
|45.882
|Decal/decistearn
|-
|
|
|
|
|
|18\470
|
|45.957
|Decal/decistearn
|-
|
|
|
|
|
|
|23\600
|46
|Decal/decistearn
|-
|
|
|5\130
|
|
|
|
|46.154
|Decal/decistearn
|-
|2\50
|
|
|
|
|
|
|48
|Decistearn/[[decavish]]
|-
|
|
|
|
|
|11\270
|
|48.889
|Decavish
|-
|
|
|
|
|9\220
|
|
|49.091
|Decavish
|-
|
|
|
|7\170
|
|
|
|49.412
|Decavish
|-
|
|
|5\120
|
|
|
|
|50
|Decavish
|-
|
|3\70
|
|
|
|
|
|51.429
|Decavish
|-
|
|
|4\90
|
|
|
|
|53.333
|
|-
|
|
|
|5\110
|
|
|
|54.545
|
|-
|
|
|
|
|6\130
|
|
|55.385
|[[Decoid]]
|-
|1\20
|
|
|
|
|
|
|60
|
|}
== Eleven periods per octave==
{| class="wikitable sortable mw-collapsible"
! colspan="6" |Generator
!Cents
!Comments
|-
|0\11
|
|  
|  
|  
|  
|  
|  
| 0
|
|  
|0
|
|-
|
|1\55
|
|
|
|
|21.818
|
|-
|1\44
|
|
|
|
|
|27.273
|
|-
|-
|
|2\77
|
|
|
|  
|  
| 31.169
|  
|  
|
| 1\636
|
|
|
|
| 1.887
|
|-
|-
|  
|1\33
|  
|
|  
|
| 1\624
|
|  
|
|  
|
|  
|36.364
|  
|
| 1.923
|-
|  
|
|3\88
|
|
|
|
|40.909
|
|-
|2\55
|
|
|
|
|
|42.636
|[[Hendecatonic]]
|-
|
|3\77
|
|
|
|
|46.753
|Hendecatonic
|-
|
|
|
|7\176
|
|
|47.727
|Hendecatonic
|-
|
|
|
|
|11\275
|
|48
|Hendecatonic
|-
|
|
|4\99
|
|
|
|48.485
|Hendecatonic/[[cohendecatonic]]
|-
|
|
|
|
|9\220
|
|49.091
|Cohendecatonic
|-
|
|
|
|
|
|14\341
|49.267
|Cohendecatonic
|-
|
|
|
|5\121
|
|
|49.587
|Cohendecatonic
|-
|
|
|
|
|6\143
|
|50.350
|
|-
|
|
|
|
|
|7\165
|50.909
|
|-
|1\22
|
|
|
|
|
|54.545
|[[Undeka]]
|}
 
==Twelve periods per octave==
{{See also|Compton family}}
{| class="wikitable sortable mw-collapsible"
! colspan="8" |Generator
!Cents
!Comments
|-
|0\12
|
|
|
|
|
|
|
|0
|
|-
|
|
|
|1\636
|
|
|
|
|1.887
|
|-
|
|
|
|1\624
|
|
|
|
|1.923
|
|-
|-
|  
|
|  
|
|  
|
|  
|
| 2\1236
|2\1236
|  
|
|  
|
|  
|
| 1.942
|1.942
| [[Atomic]]
|[[Atomic]]
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
| 3\1848
|3\1848
|  
|
|  
|
| 1.948
|1.948
| Atomic
|Atomic
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 4\2460
|4\2460
|  
|
| 1.951
|1.951
| Atomic
|Atomic
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 5\3072
|5\3072
| 1.953
|1.953
| Atomic
|Atomic
|-
|-
|  
|
|  
|
|  
|
| 1\612
|1\612
|  
|
|  
|
|  
|
|  
|
| 1.961
|1.961
| Atomic
|Atomic
|-
|-
|  
|
|  
|
|  
|
| 1\600
|1\600
|  
|
|  
|
|  
|
|  
|
| 2
|2
|  
|
|-
|-
|  
|
|  
|
|  
|
| 1\588
|1\588
|  
|
|  
|
|  
|
|  
|
| 2.041
|2.041
|  
|
|-
|-
|  
|
|  
|
|  
|
| 1\576
|1\576
|  
|
|  
|
|  
|
|  
|
| 2.083
|2.083
|  
|
|-
|-
|  
|
|  
|
|  
|
| ...
|...
|  
|
|  
|
|  
|
|  
|
| ...
|...
|  
|
|-
|-
|  
|
|  
|
|  
|
| 1\108
|1\108
|  
|
|  
|
|  
|
|  
|
| 11.111
|11.111
|  
|
|-
|-
|  
|
|  
|
|  
|
| 1\96
|1\96
|  
|
|  
|
|  
|
|  
|
| 12.5
|12.5
| [[Compton]]
|[[Compton]]
|-
|-
|  
|
|  
|
|  
|
| 1\84
|1\84
|  
|
|  
|
|  
|
|  
|
| 14.286
|14.286
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
| 3\240
|3\240
|  
|
|  
|
| 15
|15
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 8\636
|8\636
| 15.094
|15.094
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 5\396
|5\396
|  
|
| 15.152
|15.152
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 7\552
|7\552
| 15.217
|15.217
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
|  
|
| 2\156
|2\156
|  
|
|  
|
|  
|
| 15.385
|15.385
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 7\540
|7\540
| 15.556
|15.556
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 5\384
|5\384
|  
|
| 15.625
|15.625
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 8\612
|8\612
| 15.686
|15.686
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
| 3\228
|3\228
|  
|
|  
|
| 15.789
|15.789
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 7\528
|7\528
| 15.909
|15.909
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 4\300
|4\300
|  
|
| 16
|16
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 5\372
|5\372
| 16.129
|16.129
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
| 1\72
|1\72
|  
|
|  
|
|  
|
|  
|
| 16.667
|16.667
| Compton
|Compton
|-
|-
|  
|
|  
|
| 1\60
|1\60
|  
|
|  
|
|  
|
|  
|
|  
|
| 20
|20
| Compton
|Compton
|-
|-
|  
|
|  
|
|  
|
| 2\108
|2\108
|  
|
|  
|
|  
|
|  
|
| 22.222
|22.222
|  
|
|-
|-
|  
|
| 1\48
|1\48
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 25
|25
| [[Catler]]
|[[Catler]]
|-
|-
|  
|
|  
|
|  
|
| 3\132
|3\132
|  
|
|  
|
|  
|
|  
|
| 27.273
|27.273
| Catler
|Catler
|-
|-
|  
|
|  
|
| 2\84
|2\84
|  
|
|  
|
|  
|
|  
|
|  
|
| 28.571
|28.571
| Catler
|Catler
|-
|-
|  
|
|  
|
|  
|
| 3\120
|3\120
|  
|
|  
|
|  
|
|  
|
| 30
|30
| Catler
|Catler
|-
|-
| 1\36
|1\36
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 33.333
|33.333
| Catler/[[Catnip]]
|Catler/[[Catnip]]
|-
|-
|  
|
|  
|
|  
|
| 4\132
|4\132
|  
|
|  
|
|  
|
|  
|
| 36.364
|36.364
| Catnip
|Catnip
|-
|-
|  
|
|  
|
| 3\96
|3\96
|  
|
|  
|
|  
|
|  
|
|  
|
| 37.5
|37.5
| Catnip
|Catnip
|-
|-
|  
|
|  
|
|  
|
| 5\156
|5\156
|  
|
|  
|
|  
|
|  
|
| 38.462
|38.462
| Catnip
|Catnip
|-
|-
|  
|
| 2\60
|2\60
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 40
|40
| Catnip
|Catnip
|-
|-
|  
|
|  
|
|  
|
| 5\144
|5\144
|  
|
|  
|
|  
|
|  
|
| 41.667
|41.667
|  
|
|-
|-
|  
|
|  
|
| 3\84
|3\84
|  
|
|  
|
|  
|
|  
|
|  
|
| 42.857
|42.857
| [[Magnesium]]
|[[Magnesium]]
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 16\444
|16\444
| 43.243
|43.243
| Magnesium
|Magnesium
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 13\360
|13\360
|  
|
| 43.333
|43.333
| Magnesium
|Magnesium
|-
|-
|  
|
|  
|
|  
|
|  
|
|  
|
| 10\276
|10\276
|  
|
|  
|
| 43.378
|43.378
|  
|
|-
|-
|  
|
|  
|
|  
|
|  
|
| 7\192
|7\192
|  
|
|  
|
|  
|
| 43.75
|43.75
|  
|
|-
|-
|  
|
|  
|
|  
|
| 4\108
|4\108
|  
|
|  
|
|  
|
|  
|
| 44.444
|44.444
|  
|
|-
|-
| 1\24
|1\24
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|
| 50
|50
|  
|
|}
|}


== See also ==
==See also==
* [[Fractional-octave temperaments]]: Lists dozens more temperaments beyond what can be listed here.
*[[Fractional-octave temperaments]]: Lists dozens more temperaments beyond what can be listed here.


[[Category:Rank 2]]
[[Category:Rank 2]]
[[Category:Lists of temperaments]]
[[Category:Lists of temperaments]]
Retrieved from "https://en.xen.wiki/w/Map_of_rank-2_temperaments"