Xenharmonic Wiki

Map of rank-2 temperaments: Difference between revisions

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VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,279 edits
→Three periods per octave: Added Misty and Fog
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,279 edits
→Five periods per octave: Added Slendrismic, and reduced number of columns in all tables by compressing the few leftmost columns into one column (only so far as you can still tell what is the mediant of what just by looking)
Line 10: Line 10:
{| class="wikitable"
{| class="wikitable"
|-
|-
! colspan="12" | Generator
! colspan="9" | Generator
! | Cents
! | Cents
! | Comments
! | Comments
|-
|-
| | 0\2
| | 0\2
| |
| |
| |
| |  
| |  
| |  
| |  
Line 29: Line 26:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 44: Line 38:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 59: Line 50:
| | [[Shrutar|Shrutar]]
| | [[Shrutar|Shrutar]]
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 74: Line 62:
| | Shrutar
| | Shrutar
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 89: Line 74:
| | Shrutar
| | Shrutar
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 104: Line 86:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 119: Line 98:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 134: Line 110:
| | [[Vishnu|Vishnu]]
| | [[Vishnu|Vishnu]]
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 149: Line 122:
| | Vishnu
| | Vishnu
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 164: Line 134:
| | Vishnu
| | Vishnu
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 179: Line 146:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 194: Line 158:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 209: Line 170:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 224: Line 182:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 239: Line 194:
| | [[Harry|Harry]]
| | [[Harry|Harry]]
|-
|-
|
|
|
|
|
|
|
Line 254: Line 206:
|Harry
|Harry
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 269: Line 218:
| | Harry
| | Harry
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 284: Line 230:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 299: Line 242:
| | [[Injera|Injera]]
| | [[Injera|Injera]]
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 314: Line 254:
| | Injera
| | Injera
|-
|-
| |
| |
| |
| |  
| |  
| | 1\12
| | 1\12
Line 329: Line 266:
| | Injera/[[Diaschismic]]
| | Injera/[[Diaschismic]]
|-
|-
|
|
|
|
|
|
|
Line 344: Line 278:
|Diaschismic
|Diaschismic
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 359: Line 290:
| | Diaschismic/[[Srutal]]
| | Diaschismic/[[Srutal]]
|-
|-
|
|
|
|
|
|
|
Line 374: Line 302:
|Srutal
|Srutal
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 389: Line 314:
| | Srutal/[[Pajara]]
| | Srutal/[[Pajara]]
|-
|-
|
|
|
|
|
|
|
Line 404: Line 326:
|Pajara
|Pajara
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 419: Line 338:
| | Pajara
| | Pajara
|-
|-
|
|
|
|
|
|
|
Line 434: Line 350:
|
|
|-
|-
| |
| |
| |
| | 1\10
| | 1\10
| |  
| |  
Line 449: Line 362:
| | [[Octokaidecal]]
| | [[Octokaidecal]]
|-
|-
|
|
|
|
|
|
|
Line 464: Line 374:
|Octokaidecal
|Octokaidecal
|-
|-
| |
| |
| |
| |  
| |  
| | 2\18
| | 2\18
Line 479: Line 386:
| | Octokaidecal
| | Octokaidecal
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 494: Line 398:
| |  
| |  
|-
|-
|
|
|
|
|
|
|
Line 509: Line 410:
|
|
|-
|-
|
|
|
|
|
|
|
Line 524: Line 422:
|Fifive
|Fifive
|-
|-
|
|
|
|
|
|
|
Line 539: Line 434:
|Fifive
|Fifive
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 554: Line 446:
| | [[Fifive|Fifive]]
| | [[Fifive|Fifive]]
|-
|-
|
|
|
|
|
|
|
Line 569: Line 458:
|
|
|-
|-
| |
| |
| | 1\8
| | 1\8
| |
| |  
| |  
| |  
| |  
Line 584: Line 470:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 599: Line 482:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| | 3\22
| | 3\22
Line 614: Line 494:
| | [[Hedgehog|Hedgehog]]/[[Echidna]]
| | [[Hedgehog|Hedgehog]]/[[Echidna]]
|-
|-
|
|
|
|
|
|
|
Line 629: Line 506:
|Hedgehog/Echidna
|Hedgehog/Echidna
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 644: Line 518:
| | Hedgehog/Echidna
| | Hedgehog/Echidna
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 659: Line 530:
| |  
| |  
|-
|-
| |
| |
| |
| | 2\14
| | 2\14
| |  
| |  
Line 674: Line 542:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| | 3\20
| | 3\20
Line 689: Line 554:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 704: Line 566:
| | [[Unidec|Unidec]]/[[Hendec]]
| | [[Unidec|Unidec]]/[[Hendec]]
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 719: Line 578:
| | Unidec/Hendec
| | Unidec/Hendec
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 734: Line 590:
| | Unidec/Hendec
| | Unidec/Hendec
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 749: Line 602:
| |  
| |  
|-
|-
| |
| | 1\6
| | 1\6
| |
| |
| |  
| |  
| |  
| |  
Line 764: Line 614:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 779: Line 626:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 794: Line 638:
| | [[Antikythera]]
| | [[Antikythera]]
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 809: Line 650:
| | Antikythera/[[Wizard]]
| | Antikythera/[[Wizard]]
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 824: Line 662:
| | Antikythera/Wizard
| | Antikythera/Wizard
|-
|-
| |
| |
| |
| |  
| |  
| | 4\22
| | 4\22
Line 839: Line 674:
| | Antikythera/Wizard/[[Astrology]]
| | Antikythera/Wizard/[[Astrology]]
|-
|-
|
|
|
|
|
|
|
Line 854: Line 686:
|Astrology
|Astrology
|-
|-
|
|
|
|
|
|
|
Line 869: Line 698:
|Astrology
|Astrology
|-
|-
|
|
|
|
|
|
|
Line 885: Line 711:
|-
|-
| |  
| |  
| |
| |
| | 3\16
| |  
| |  
| |  
| |  
Line 899: Line 722:
| | [[Lemba]]
| | [[Lemba]]
|-
|-
| |
| |
| |
| |  
| |  
| | 5\26
| | 5\26
Line 914: Line 734:
| | Lemba
| | Lemba
|-
|-
|
|
|
|
|
|
|
Line 929: Line 746:
|Lemba
|Lemba
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 944: Line 758:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 959: Line 770:
| | [[Echidnic|Echidnic]]
| | [[Echidnic|Echidnic]]
|-
|-
|
|
|
|
|
|
|
Line 974: Line 782:
|Echidnic
|Echidnic
|-
|-
|
|
|
|
|
|
|
Line 989: Line 794:
|Echidnic
|Echidnic
|-
|-
|
|
|
|
|
|
|
Line 1,004: Line 806:
|
|
|-
|-
| |
| |
| | 2\10
| | 2\10
| |
| |  
| |  
| |  
| |  
Line 1,019: Line 818:
| | [[Decimal|Decimal]]
| | [[Decimal|Decimal]]
|-
|-
| |
| |
| |
| |  
| |  
| | 5\24
| | 5\24
Line 1,034: Line 830:
| | Decimal
| | Decimal
|-
|-
|
|
|
|
|
|
|
Line 1,050: Line 843:
|-
|-
| |  
| |  
| |
| |
| | 3\14
| |  
| |  
| |  
| |  
Line 1,065: Line 855:
|-
|-
| |  
| |  
| |
| | 4\18
| |
| |
| | 4\18
| |  
| |  
| |  
| |  
Line 1,079: Line 866:
| |  
| |  
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 1,094: Line 878:
| | [[Doublewide|Doublewide]]
| | [[Doublewide|Doublewide]]
|-
|-
|
|
|
|
|
|
|
Line 1,109: Line 890:
|Doublewide
|Doublewide
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 1,124: Line 902:
| | Doublewide
| | Doublewide
|-
|-
| |
| |
| |
| |  
| |  
| |  
| |  
Line 1,140: Line 915:
|-
|-
| | 1\4
| | 1\4
| |
| |
| |
| |  
| |  
| |  
| |  
Line 1,740: Line 1,512:
==Four periods per octave==
==Four periods per octave==
{| class="wikitable"
{| class="wikitable"
! colspan="9" | Generator !! Cents !! Comments
! colspan="7" | Generator !! Cents !! Comments
|-
|-
| 0\4 ||  ||  ||  ||  ||  ||  ||   
| 0\4 ||  ||  ||  ||  ||   
| || 0 ||  
| || 0 ||  
|-
|-
|  ||  ||  ||  ||  || 1\76 ||  ||   
|  ||  ||  || 1\76 ||  ||   
| || 15.789 ||  
| || 15.789 ||  
|-
|-
|  ||  ||  ||  ||  || 1\72 ||  ||   
|  ||  ||  || 1\72 ||  ||   
| || 16.667 || [[Quadritikleismic]]
| || 16.667 || [[Quadritikleismic]]
|-
|-
|  ||  ||  ||  ||  ||  || 2\140 ||   
|  ||  ||  ||  || 2\140 ||   
| || 17.143 || Quadritikleismic
| || 17.143 || Quadritikleismic
|-
|-
|  ||  ||  ||  ||  || 1\68 ||  ||   
|  ||  ||  || 1\68 ||  ||   
| || 17.647 || Quadritikleismic
| || 17.647 || Quadritikleismic
|-
|-
|  ||  ||  ||  ||  || 1\64 ||  ||   
|  ||  ||  || 1\64 ||  ||   
| || 18.75 ||  
| || 18.75 ||  
|-
|-
|  ||  ||  ||  ||  || 1\60 ||  ||   
|  ||  ||  || 1\60 ||  ||   
| || 20 ||  
| || 20 ||  
|-
|-
|  ||  ||  ||  ||  || 1\56 ||  ||   
|  ||  ||  || 1\56 ||  ||   
| || 21.429 ||  
| || 21.429 ||  
|-
|-
|  ||  ||  ||  ||  || 1\52 ||  ||   
|  ||  ||  || 1\52 ||  ||   
| || 23.068 ||  
| || 23.068 ||  
|-
|-
|  ||  ||  ||  ||  || 1\48 ||  ||   
|  ||  ||  || 1\48 ||  ||   
| || 25 ||  
| || 25 ||  
|-
|-
|  ||  ||  ||  ||  || 1\44 ||  ||   
|  ||  ||  || 1\44 ||  ||   
| || 27.273 ||  
| || 27.273 ||  
|-
|-
|  ||  ||  ||  ||  || 1\40 ||  ||   
|  ||  ||  || 1\40 ||  ||   
| || 30 ||  
| || 30 ||  
|-
|-
|  ||  ||  ||  ||  || 1\36 ||  ||   
|  ||  ||  || 1\36 ||  ||   
| || 33.333 ||  
| || 33.333 ||  
|-
|-
|  ||  ||  ||  ||  || 1\32 ||  ||   
|  ||  ||  || 1\32 ||  ||   
| || 37.5 ||  
| || 37.5 ||  
|-
|-
|  ||  ||  ||  ||  || 1\28 ||  ||   
|  ||  ||  || 1\28 ||  ||   
| || 42.857 ||  
| || 42.857 ||  
|-
|-
|
|
|
|
|
|
Line 1,799: Line 1,569:
|[[Hemidim]]
|[[Hemidim]]
|-
|-
|
|
|
|
|
|
Line 1,811: Line 1,579:
|Hemidim
|Hemidim
|-
|-
|  ||  ||  ||  || 1\24 ||  ||  ||   
|  ||  || 1\24 ||  ||  ||   
| || 50 || Hemidim/[[4th-octave temperaments#Darian calendar|Darian calendar]]
| || 50 || Hemidim/[[4th-octave temperaments#Darian calendar|Darian calendar]]
|-
|-
|  ||  ||  || 1\20 ||  ||  ||  ||   
|  || 1\20 ||  ||  ||  ||   
| || 60 ||  
| || 60 ||  
|-
|-
|  ||  || 1\16 ||  ||  ||  ||  ||   
| 1\16 ||  ||  ||  ||  ||   
| || 75 ||  
| || 75 ||  
|-
|-
|
|
|
|
|2\28
|2\28
Line 1,832: Line 1,598:
|[[Demolished]]
|[[Demolished]]
|-
|-
|
|
|
|
|
|
Line 1,844: Line 1,608:
|Demolished
|Demolished
|-
|-
|  || 1\12 ||  ||  ||  ||  ||  ||   
| 1\12 ||  ||  ||  ||  ||   
| || 100 || Demolished/[[Diminished]]
| || 100 || Demolished/[[Diminished]]
|-
|-
|
|
|
|
|
|
Line 1,859: Line 1,621:
|Diminished
|Diminished
|-
|-
|
|
|
|
|
|
Line 1,871: Line 1,631:
|Diminished/[[Unlit]]
|Diminished/[[Unlit]]
|-
|-
|
|
|
|
|
|
Line 1,883: Line 1,641:
|Diminished/Unlit
|Diminished/Unlit
|-
|-
|
|
|
|
|
|
Line 1,895: Line 1,651:
|Diminished/Unlit
|Diminished/Unlit
|-
|-
|
|
|
|
|
|
Line 1,907: Line 1,661:
|Diminished/Unlit/[[Undim]]
|Diminished/Unlit/[[Undim]]
|-
|-
|
|
|
|
|
|
Line 1,919: Line 1,671:
|Diminished/Undim
|Diminished/Undim
|-
|-
|
|
|
|
|
|
Line 1,931: Line 1,681:
|Diminished/Undim
|Diminished/Undim
|-
|-
|
|
|
|
|
|
Line 1,943: Line 1,691:
|Diminished/Undim
|Diminished/Undim
|-
|-
|
|
|
|
|
|
Line 1,955: Line 1,701:
|Diminished/Undim
|Diminished/Undim
|-
|-
|
|
|
|
|
|
Line 1,967: Line 1,711:
|Diminished
|Diminished
|-
|-
|
|
|
|
|
|
Line 1,979: Line 1,721:
|Diminished
|Diminished
|-
|-
|
|
|
|
|
|
Line 1,991: Line 1,731:
|Diminished
|Diminished
|-
|-
|
|
|
|
|
|
Line 2,003: Line 1,741:
|Diminished
|Diminished
|-
|-
|  ||  ||  ||  ||  || 7\80 ||  ||  
|  ||  ||  || 7\80 ||  ||  
| || 105 || Diminished/[[Bidia]]
| || 105 || Diminished/[[Bidia]]
|-
|-
|
|
|
|
|
|
Line 2,018: Line 1,754:
|Diminished/Bidia
|Diminished/Bidia
|-
|-
|
|
|
|
|
|
Line 2,030: Line 1,764:
|Diminished/Bidia
|Diminished/Bidia
|-
|-
|
|
|
|
|
|
Line 2,042: Line 1,774:
|Diminished/Bidia
|Diminished/Bidia
|-
|-
|  ||  ||  ||  ||  || 6\68 ||  ||  
|  ||  ||  || 6\68 ||  ||  
| || 105.882 || Diminished/Bidia
| || 105.882 || Diminished/Bidia
|-
|-
|  ||  ||  ||  ||  || 5\56 ||  ||  
|  ||  ||  || 5\56 ||  ||  
| || 107.143 || Diminished/Bidia
| || 107.143 || Diminished/Bidia
|-
|-
|  ||  ||  ||  || 4\44 ||  ||  ||  
|  ||  || 4\44 ||  ||  ||  
| || 109.091 || Diminished
| || 109.091 || Diminished
|-
|-
|  ||  ||  || 3\32 ||  ||  ||  ||  
|  || 3\32 ||  ||  ||  ||  
| || 112.5 || Diminished
| || 112.5 || Diminished
|-
|-
|  ||  || 2\20 ||  ||  ||  ||  ||  
| 2\20 ||  ||  ||  ||  ||  
| || 120 || Diminished
| || 120 || Diminished
|-
|-
| 1\8 ||  ||  ||  ||  ||  ||  ||  
| 1\8 ||  ||  ||  ||  ||  
| || 150 ||  
| || 150 ||  
|}
|}
Line 2,063: Line 1,795:
==Five periods per octave==
==Five periods per octave==
{| class="wikitable"
{| class="wikitable"
! colspan="9" |Generator!!Cents !!Comments
! colspan="8" |Generator!!Cents !!Comments
|-
|-
|0\5 || || || || ||
|0\5 || || ||
|
|
|
|  
|  
| || 0||
| || 0||
Line 2,075: Line 1,808:
|
|
|
|
|1\35
|1\140
|
|
|
|
|8.571
|
|
|34.286
|-
|
|
|-
|
|
|
|
|
|
|
|
|1\30
|1\135
|
|
|
|
|8.889
|[[5th-octave temperaments#Slendrismic|Slendrismic]]
|-
|
|
|
|
|40
|
|
|-
|
|
|
|
|
|
|
|
|3\400
|9
|Slendrismic
|-
|
|
|2\55
|
|
|
|
|
|
|43.636
|
|
|-
|
|
|2\265
|
|
|9.057
|Slendrismic
|-
|
|
|1\25
|
|
|
|
|
|
|
|
|1\130
|
|
|48
|
|
|9.231
|Slendrismic
|-
|-
|
|
Line 2,123: Line 1,863:
|
|
|
|
|3\70
|1\125
|
|
|
|
|
|9.6
|51.429
|
|
|-
|-
Line 2,134: Line 1,873:
|
|
|
|
|2\45
|
|
|...
|
|
|
|
|
|...
|53.3
|
|
|-
|-
Line 2,147: Line 1,885:
|
|
|
|
|3\65
|1\55
|
|
|
|
|21.818
|
|
|55.385
|-
|
|-
|
|
|
|
|1\20
|
|
|
|
|
|
|1\50
|
|
|
|
|
|24
|60
|
|
|-
|-
Line 2,171: Line 1,907:
|
|
|
|
|4\75
|1\45
|
|
|
|
|
|26.67
|64
|
|
|-
|-
Line 2,182: Line 1,917:
|
|
|
|
|3\55
|1\40
|
|
|
|
|
|
|
|30
|65.455
|
|
|-
|-
Line 2,193: Line 1,927:
|
|
|
|
|1\35
|
|
|
|5\90
|
|
|
|
|
|
|66.667
|34.286
|
|
|-
|-
|
|
|
|
|
|1\30
|2\35
|
|
|
|
Line 2,211: Line 1,943:
|
|
|
|
|68.571
|40
|
|
|-
|-
Line 2,217: Line 1,949:
|
|
|
|
|2\55
|
|
|
|
|5\85
|
|
|
|
|
|43.636
|70.588
|
|
|-
|-
|
|
|1\25
|
|
|
|
|
|
|3\50
|
|
|
|
|
|
|
|48
|72
|
|
|-
|-
Line 2,241: Line 1,971:
|
|
|
|
|3\70
|
|
|
|
|4\65
|
|
|
|
|
|51.429
|73.846
|
|
|-
|-
|  || 1\15||  ||  ||  ||
|
|
|
| || 80||[[Blackwood]]/[[Blacksmith]]
|-
|
|
|2\45
|
|
|
|
|
|
|
|5\70
|
|
|
|
|53.3
|
|
|85.714
|Blackwood/Blacksmith
|-
|-
|
|
|
|
|
|
|3\65
|
|
|4\55
|
|
|
|
|
|
|55.385
|
|
|87.273
|Blackwood/Blacksmith
|-
|-
|1\20
|
|
|
|
Line 2,284: Line 2,007:
|
|
|
|
|7\95
|
|
|
|
|60
|
|
|88.421
|Blackwood/Blacksmith
|-
|-
|
|
|
|
|
|
|3\40
|4\75
|
|
|
|
|
|
|
|
|64
|
|
|90
|Blackwood/Blacksmith
|-
|-
|
|
|
|
|3\55
|
|
|
|
|
|
|8\105
|
|
|
|
|65.455
|
|
|91.429
|Blackwood/Blacksmith
|-
|-
|
|
|
|
|
|
|5\90
|
|
|5\65
|
|
|
|
|
|
|66.667
|
|
|92.308
|Blackwood/Blacksmith
|-
|-
|
|
|2\35
|
|
|
|
|
|
|
|
|7\90
|
|
|
|
|68.571
|
|
|93.333
|Blackwood/Blacksmith
|-
|-
|
|
|
|
|2\25
|
|
|5\85
|
|
|
|
|
|
|
|
|70.588
|
|
|96
|Blackwood/Blacksmith
|-
|-
|
|
|
|
|3\50
|
|
|
|
|5\60
|
|
|
|
|
|
|72
|
|
|100
|Blackwood
|-
|-
|
|
|
|
|
|
|4\65
|
|
|
|
|8\95
|
|
|
|
|73.846
|
|
|101.053
|Blackwood
|-
|-
| 1\15 ||  ||  ||
|
|
|
|
| || 80||[[Blackwood]]/[[Blacksmith]]
|-
|
|
|
|
|3\35
|
|
|5\70
|
|
|
|
|
|
|
|
|102.857
|85.714
|Blackwood
|Blackwood/Blacksmith
|-
|-
|
|
|
|
|4\55
|
|
|
|
|
|7\80
|
|
|
|
|
|
|105
|87.273
|Blackwood
|Blackwood/Blacksmith
|-
|-
|
|
|
|
|
|
|7\95
|
|
|4\45
|
|
|
|
|
|
|
|88.421
|106.667
|Blackwood/Blacksmith
|Blackwood
|-
|-
|
|
|3\40
|
|
|
|
|
|
|
|
|5\55
|
|
|
|
|
|90
|109.091
|Blackwood/Blacksmith
|Blackwood
|-
|-
|
|
|
|
|
|
|8\105
|
|
|
|
|
|
|6\65
|
|91.429
|Blackwood/Blacksmith
|-
|
|
|5\65
|
|
|
|
|
|92.308
|Blackwood/Blacksmith
|-
|
|
|
|7\90
|
|
|
|
|
|
|110.769
|93.333
|Blackwood
|Blackwood/Blacksmith
|-
|-
|2\25
|
|
|
|
Line 2,442: Line 2,180:
|
|
|
|
|7\75
|96
|Blackwood/Blacksmith
|-
|
|
|5\60
|
|
|
|
|
|
|112
|100
|Blackwood
|Blackwood
|-
|-
Line 2,450: Line 2,197:
|
|
|
|
|8\95
|
|
|
|
|
|
|
|
|
|101.053
|8\85
|Blackwood
|112.941
|-
|Blackwood/[[Phi as a Generator|Elderthing]]
|
|-
|3\35
|
|
|
|
|
|
|
|
|
|
|
|
|
|102.857
|
|Blackwood
|9\95
|-
|113.684
|
|Blackwood
|
|-
|
|
|7\80
|
|
|
|
|
|
|
|
|
|105
|
|Blackwood
|
|-
|10\105
|
|
|4\45
|
|
|
|
|
|106.667
|Blackwood
|-
|
|
|
|5\55
|
|
|
|
|109.091
|Blackwood
|-
|
|
|
|
|6\65
|
|
|
|110.769
|Blackwood
|-
|
|
|
|
|
|7\75
|
|
|112
|Blackwood
|-
|
|
|
|
|
|
|8\85
|
|112.941
|Blackwood/[[Phi as a Generator|Elderthing]]
|-
|
|
|
|
|
|
|9\95
|
|113.684
|Blackwood
|-
|
|
|
|
|
|
|10\105
|
|114.286
|114.286
|Blackwood
|Blackwood
|-
|-
|1\10
|1\10
|
|
|
|
|
Line 2,497: Line 2,317:
==Six periods per octave ==
==Six periods per octave ==
{| class="wikitable"
{| class="wikitable"
! colspan="9" |Generator!!Cents !!Comments
! colspan="8" |Generator!!Cents !!Comments
|-
|-
|0\6|| || || ||  
|0\6|| || ||  
|
|
|
|
Line 2,505: Line 2,325:
|||0||
|||0||
|-
|-
|
|
|
|
|
Line 2,517: Line 2,336:
|
|
|-
|-
|
|
|
|
|
Line 2,529: Line 2,347:
|
|
|-
|-
|
|
|
|
|
Line 2,541: Line 2,358:
|[[Sextile]]
|[[Sextile]]
|-
|-
|
|
|
|
|
Line 2,553: Line 2,369:
|Sextile
|Sextile
|-
|-
|
|
|
|
|
Line 2,565: Line 2,380:
|Sextile
|Sextile
|-
|-
|
|
|
|
|
Line 2,577: Line 2,391:
|Sextile
|Sextile
|-
|-
|
|
|
|
|
Line 2,589: Line 2,402:
|Sextile
|Sextile
|-
|-
|
|
|
|
|
Line 2,601: Line 2,413:
|
|
|-
|-
|
|
|
|
|
Line 2,613: Line 2,424:
|
|
|-
|-
|
|
|
|
|
Line 2,625: Line 2,435:
|
|
|-
|-
|
|
|
|
|
Line 2,637: Line 2,446:
|
|
|-
|-
|
|
|
|
|
Line 2,649: Line 2,457:
|
|
|-
|-
|
|
|
|
|
Line 2,661: Line 2,468:
|[[Stearnscape]]
|[[Stearnscape]]
|-
|-
|
|
|
|
|
Line 2,673: Line 2,479:
|Stearnscape
|Stearnscape
|-
|-
|
|
|
|
|
Line 2,685: Line 2,490:
|Stearnscape
|Stearnscape
|-
|-
|
|
|
|
|
Line 2,697: Line 2,501:
|Stearnscape
|Stearnscape
|-
|-
|
|
|
|
|
Line 2,709: Line 2,512:
|
|
|-
|-
|
|
|
|
|
Line 2,721: Line 2,523:
|
|
|-
|-
|
|
|
|
|
Line 2,733: Line 2,534:
|
|
|-
|-
|
|
|
|
|
Line 2,745: Line 2,545:
|
|
|-
|-
|
|
|
|
|
Line 2,757: Line 2,556:
|
|
|-
|-
|
|
|
|
|
Line 2,769: Line 2,567:
|
|
|-
|-
|
|
|
|
|
Line 2,781: Line 2,578:
|
|
|-
|-
|
|
|
|
|
Line 2,793: Line 2,589:
|
|
|-
|-
|
|
|
|
|
Line 2,805: Line 2,600:
|
|
|-
|-
|
|
|
|1\24
|1\24
Line 2,817: Line 2,611:
|  
|  
|-
|-
|
|
|
|
|
Line 2,829: Line 2,622:
|
|
|-
|-
|
|
|
|
|
Line 2,841: Line 2,633:
|
|
|-
|-
|
|
|
|
|
Line 2,853: Line 2,644:
|
|
|-
|-
|
|1\18
|1\18
|
|
Line 2,865: Line 2,655:
|
|
|-
|-
|
|
|
|
|
Line 2,877: Line 2,666:
|
|
|-
|-
|
|
|
|
|
Line 2,889: Line 2,677:
|  
|  
|-
|-
|
|
|
|
|
Line 2,901: Line 2,688:
|
|
|-
|-
|
|
|
|2\30
|2\30
Line 2,913: Line 2,699:
|[[Hexe]]
|[[Hexe]]
|-
|-
|
|
|
|
|
Line 2,925: Line 2,710:
|Hexe
|Hexe
|-
|-
|
|
|
|
|
Line 2,937: Line 2,721:
| Hexe
| Hexe
|-
|-
|
|
|
|
|
Line 2,950: Line 2,733:
|-
|-
|1\12
|1\12
|
|
|
|
|
Line 2,963: Line 2,745:
==Seven periods per octave==
==Seven periods per octave==
{| class="wikitable"
{| class="wikitable"
! colspan="9" |Generator!! Cents!!Comments
! colspan="8" |Generator!! Cents!!Comments
|-
|-
| 0\7|| || || ||
| 0\7|| || ||
|
|
|
|
Line 2,971: Line 2,753:
| ||0||
| ||0||
|-
|-
|
|
|
|
|
Line 2,983: Line 2,764:
|
|
|-
|-
|
|
|
|
|
Line 2,995: Line 2,775:
|[[Absurdity]]
|[[Absurdity]]
|-
|-
|
|
|
|
|
Line 3,007: Line 2,786:
|Absurdity
|Absurdity
|-
|-
|
|
|
|
|
Line 3,019: Line 2,797:
|
|
|-
|-
|
|
|
|
|
Line 3,031: Line 2,808:
|
|
|-
|-
|
|
|
|
|
Line 3,043: Line 2,819:
|
|
|-
|-
|
|
|
|
|
Line 3,055: Line 2,830:
|
|
|-
|-
|
|
|
|
|
Line 3,067: Line 2,841:
|[[Sevond]]
|[[Sevond]]
|-
|-
|
|
|
|
|
Line 3,079: Line 2,852:
|Sevond
|Sevond
|-
|-
|
|
|
|
|
Line 3,091: Line 2,863:
|Sevond
|Sevond
|-
|-
|
|
|
|
|
Line 3,103: Line 2,874:
|
|
|-
|-
|
|
|
|
|
Line 3,115: Line 2,885:
|
|
|-
|-
|
|
|
|
|
Line 3,127: Line 2,896:
|[[Whitewood]]
|[[Whitewood]]
|-
|-
|
|
|
|
|
Line 3,139: Line 2,907:
|Whitewood
|Whitewood
|-
|-
|
|
|
| 1\28
| 1\28
Line 3,151: Line 2,918:
|Whitewood
|Whitewood
|-
|-
|
|
|
|
|
Line 3,163: Line 2,929:
|Whitewood
|Whitewood
|-
|-
|
|
|
|
|
Line 3,175: Line 2,940:
|Whitewood
|Whitewood
|-
|-
|
|
|
|
|
Line 3,187: Line 2,951:
|Whitewood
|Whitewood
|-
|-
|
|1\21
|1\21
|
|
Line 3,199: Line 2,962:
|Whitewood/[[Jamesbond]]/[[7th-octave temperaments#Septimal|Septimal]]
|Whitewood/[[Jamesbond]]/[[7th-octave temperaments#Septimal|Septimal]]
|-
|-
|
|
|
|
|
Line 3,211: Line 2,973:
|Jamesbond/Septimal
|Jamesbond/Septimal
|-
|-
|
|
|
|
|
Line 3,223: Line 2,984:
| Jamesbond/Septimal
| Jamesbond/Septimal
|-
|-
|
|
|
|
|
Line 3,235: Line 2,995:
|Jamesbond/Septimal
|Jamesbond/Septimal
|-
|-
|
|
|
|2\35
|2\35
Line 3,247: Line 3,006:
|Jamesbond/Septimal
|Jamesbond/Septimal
|-
|-
|
|
|
|
|
Line 3,259: Line 3,017:
|Jamesbond/Septimal
|Jamesbond/Septimal
|-
|-
|
|
|
|
|
Line 3,271: Line 3,028:
|Jamesbond/Septimal
|Jamesbond/Septimal
|-
|-
|
|
|
|
|
Line 3,284: Line 3,040:
|-
|-
| 1\14
| 1\14
|
|
|
|
|
Line 3,298: Line 3,053:
{{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) and Octium temperament (472, 1400, 1872)}}
{| class="wikitable"
{| class="wikitable"
! colspan="11" |Generator!!Cents!!Comments
! colspan="9" |Generator!!Cents!!Comments
|-
|-
|0\8|| || || ||
|0\8|| ||
|
|
|
|
Line 3,308: Line 3,063:
| ||0||
| ||0||
|-
|-
|
|
|
|
|
|
Line 3,322: Line 3,075:
|
|
|-
|-
|
|
|
|
|
|
Line 3,336: Line 3,087:
|[[Octoid]]
|[[Octoid]]
|-
|-
|
|
|
|
|
|
Line 3,350: Line 3,099:
|Octoid
|Octoid
|-
|-
|
|
|
|
|
|
Line 3,364: Line 3,111:
|Octoid
|Octoid
|-
|-
|
|
|
|
|
|
Line 3,378: Line 3,123:
|
|
|-
|-
|
|
|
|
|
|
Line 3,392: Line 3,135:
|
|
|-
|-
|
|
|
|
|
|
Line 3,406: Line 3,147:
|
|
|-
|-
|
|
|
|
| 1\40
| 1\40
Line 3,420: Line 3,159:
|
|
|-
|-
|
|
|
|
|
|
Line 3,434: Line 3,171:
|
|
|-
|-
|
|
|1\32
|1\32
|
|
Line 3,448: Line 3,183:
|[[Semidim]]
|[[Semidim]]
|-
|-
|
|
|
|
|
|
Line 3,462: Line 3,195:
|Semidim
|Semidim
|-
|-
|
|
|
|
|2\56
|2\56
Line 3,476: Line 3,207:
|Semidim
|Semidim
|-
|-
|
|
|
|
|
|
Line 3,490: Line 3,219:
|Semidim
|Semidim
|-
|-
|
|
|
|
|
|
Line 3,504: Line 3,231:
|Semidim
|Semidim
|-
|-
|
|
|
|
|
|
Line 3,518: Line 3,243:
|Semidim
|Semidim
|-
|-
|
|
|
|
|
|
Line 3,532: Line 3,255:
|Semidim
|Semidim
|-
|-
|
|
|
|
|
|
Line 3,546: Line 3,267:
|Semidim
|Semidim
|-
|-
|
|
|
|
|
|
Line 3,560: Line 3,279:
|Semidim
|Semidim
|-
|-
|
|
|
|
|
|
Line 3,574: Line 3,291:
|Semidim/[[Octant]]
|Semidim/[[Octant]]
|-
|-
|
|
|
|
|
|
Line 3,588: Line 3,303:
|Semidim/Octant
|Semidim/Octant
|-
|-
|
|
|
|
|
|
Line 3,602: Line 3,315:
|Semidim/Octant
|Semidim/Octant
|-
|-
|
|
|
|
|
|
Line 3,616: Line 3,327:
|Semidim
|Semidim
|-
|-
|
|1\24
|1\24
|
|
|
|
|
Line 3,630: Line 3,339:
|Semidim
|Semidim
|-
|-
|
|
|
|
|
|
Line 3,644: Line 3,351:
|
|
|-
|-
|
|
|
|
| 3\64
| 3\64
Line 3,658: Line 3,363:
|  
|  
|-
|-
|
|
|
|
|
|
Line 3,672: Line 3,375:
|
|
|-
|-
|
|
|2\40
|2\40
|
|
Line 3,686: Line 3,387:
|
|
|-
|-
|
|
|
|
|
|
Line 3,700: Line 3,399:
|
|
|-
|-
|
|
|
|
|3\56
|3\56
Line 3,714: Line 3,411:
|
|
|-
|-
|
|
|
|
|
|
Line 3,729: Line 3,424:
|-
|-
|1\16
|1\16
|
|
|
|
|
|
Line 3,745: Line 3,438:
==Nine periods per octave ==
==Nine periods per octave ==
{| class="wikitable"
{| class="wikitable"
! colspan="6" |Generator!!Cents!! Comments
! colspan="5" |Generator!!Cents!! Comments
|-
|-
|0\9|| ||  || ||  
|0\9||  || ||  
| ||0||
| ||0||
|-
|-
|
|
|
|
|
Line 3,759: Line 3,451:
|
|
|-
|-
|
|
|
|
|
Line 3,768: Line 3,459:
|
|
|-
|-
|
|
|
|
|
Line 3,777: Line 3,467:
|
|
|-
|-
|
|
|
|1\36
|1\36
Line 3,786: Line 3,475:
|
|
|-
|-
|
|
|
|
|
Line 3,795: Line 3,483:
|
|
|-
|-
|
|
|
|
|
Line 3,804: Line 3,491:
|[[Niner]]
|[[Niner]]
|-
|-
|
|
|
|
|
Line 3,813: Line 3,499:
|Niner
|Niner
|-
|-
|
|1\27
|1\27
|
|
Line 3,822: Line 3,507:
|Niner
|Niner
|-
|-
|
|
|
|
|
Line 3,831: Line 3,515:
|[[Ennealimmal]]
|[[Ennealimmal]]
|-
|-
|
|
|
|
|
Line 3,840: Line 3,523:
|Ennealimmal
|Ennealimmal
|-
|-
|
|
|
|
|
Line 3,849: Line 3,531:
|Ennealimmal
|Ennealimmal
|-
|-
|
|
|
|
|
Line 3,858: Line 3,539:
|
|
|-
|-
|
|
|
|2\45
|2\45
Line 3,867: Line 3,547:
|  
|  
|-
|-
|
|
|
|
|
Line 3,876: Line 3,555:
|
|
|-
|-
|
|
|
|
|
Line 3,885: Line 3,563:
|
|
|-
|-
|
|
|
|
|
Line 3,895: Line 3,572:
|-
|-
|1\18
|1\18
|
|
|
|
|
Line 3,908: Line 3,584:


{| class="wikitable"
{| class="wikitable"
! colspan="10" |Generator!!Cents!!Comments
! colspan="9" |Generator!!Cents!!Comments
|-
|-
|0\12|| || || ||
|0\12|| || ||
|
|
|  
|  
Line 3,917: Line 3,593:
| ||0||
| ||0||
|-
|-
|
|
|
|
|
Line 3,930: Line 3,605:
|
|
|-
|-
|
|
|
|
|
Line 3,943: Line 3,617:
|
|
|-
|-
|
|
|
|
|
Line 3,956: Line 3,629:
|[[Atomic]]
|[[Atomic]]
|-
|-
|
|
|
|
|
Line 3,969: Line 3,641:
|Atomic
|Atomic
|-
|-
|
|
|
|
|
Line 3,982: Line 3,653:
|Atomic
|Atomic
|-
|-
|
|
|
|
|
Line 3,995: Line 3,665:
|Atomic
|Atomic
|-
|-
|
|
|
|
|
Line 4,008: Line 3,677:
|
|
|-
|-
|
|
|
|
|
Line 4,021: Line 3,689:
|
|
|-
|-
|
|
|
|
|
Line 4,034: Line 3,701:
|
|
|-
|-
|
|
|
|
|
Line 4,047: Line 3,713:
|
|
|-
|-
|
|
|
|
|
Line 4,060: Line 3,725:
|
|
|-
|-
|
|
|
|
|
Line 4,073: Line 3,737:
|[[Compton]]
|[[Compton]]
|-
|-
|
|
|
|
|
Line 4,086: Line 3,749:
|Compton
|Compton
|-
|-
|
|
|
|
|
Line 4,099: Line 3,761:
|Compton
|Compton
|-
|-
|
|
|
|
|
Line 4,112: Line 3,773:
|Compton
|Compton
|-
|-
|
|
|
|
|
Line 4,125: Line 3,785:
|Compton
|Compton
|-
|-
|
|
|
|
|
Line 4,138: Line 3,797:
|Compton
|Compton
|-
|-
|
|
|
|
|
Line 4,151: Line 3,809:
|Compton
|Compton
|-
|-
|
|
|
|
|
Line 4,164: Line 3,821:
|
|
|-
|-
|
|
|
|1\48
|1\48
Line 4,177: Line 3,833:
|[[Catler]]
|[[Catler]]
|-
|-
|
|
|
|
|
Line 4,190: Line 3,845:
|Catler
|Catler
|-
|-
|
|
|
|
|
Line 4,203: Line 3,857:
|Catler
|Catler
|-
|-
|
|
|
|
|
Line 4,216: Line 3,869:
|Catler
|Catler
|-
|-
|
|1\36
|1\36
|
|
Line 4,229: Line 3,881:
|Catler/[[Catnip]]
|Catler/[[Catnip]]
|-
|-
|
|
|
|
|
Line 4,242: Line 3,893:
|Catnip
|Catnip
|-
|-
|
|
|
|
|
Line 4,255: Line 3,905:
| Catnip
| Catnip
|-
|-
|
|
|
|
|
Line 4,268: Line 3,917:
|Catnip
|Catnip
|-
|-
|
|
|
|2\60
|2\60
Line 4,281: Line 3,929:
|Catnip
|Catnip
|-
|-
|
|
|
|
|
Line 4,294: Line 3,941:
|
|
|-
|-
|
|
|
|
|
Line 4,307: Line 3,953:
| [[Magnesium]]
| [[Magnesium]]
|-
|-
|
|
|
|
|
Line 4,320: Line 3,965:
|Magnesium
|Magnesium
|-
|-
|
|
|
|
|
Line 4,333: Line 3,977:
|Magnesium
|Magnesium
|-
|-
|
|
|
|
|
Line 4,346: Line 3,989:
|Magnesium
|Magnesium
|-
|-
|
|
|
|
|
Line 4,359: Line 4,001:
|
|
|-
|-
|
|
|
|
|
Line 4,372: Line 4,013:
|
|
|-
|-
|
|
|
|
|
Line 4,386: Line 4,026:
|-
|-
|1\24
|1\24
|
|
|
|
|
Retrieved from "https://en.xen.wiki/w/Map_of_rank-2_temperaments"