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Catalog of rank two temperaments: Difference between revisions

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Line 82: Line 82:
|2.3.5
|2.3.5
|[[Blackwood]]
|[[Blackwood]]
|5-edo + ya
|Sawa + ya
|(P8/5, ^1)
|(P8/5, ^1)
|[8 -5 0]
|[8 -5 0]
Line 165: Line 165:
|2.3.5
|2.3.5
|[[Compton]]
|[[Compton]]
|12-edo + ya
|Lalawa + ya
|(P8/12, ^1)
|(P8/12, ^1)
|[-19 12 0]
|[-19 12 0]
Line 220: Line 220:
|-
|-
|2.3.7||(blackwood)
|2.3.7||(blackwood)
|5-edo + za
|Sawa + za
|(P8/5, ^1)
|(P8/5, ^1)
|[8 -5 0]||90.225||[5 8 14] [0 0 1]||2.76||5.666||0.927
|[8 -5 0]||90.225||[5 8 14] [0 0 1]||2.76||5.666||0.927
Line 276: Line 276:
|[-9 11 -3]||15.027||[1 3 8] [0 -3 -11]||6.04||0.431||0.833
|[-9 11 -3]||15.027||[1 3 8] [0 -3 -11]||6.04||0.431||0.833
|-
|-
|2.3.7||(catler, compton)||12-edo + za
|2.3.7||(catler, compton)||Lalawa + za
|(P8/12, ^1)
|(P8/12, ^1)
|[-19 12 0]||23.46||[12 19 34] [0 0 -1]||6.588||0.617||0.923
|[-19 12 0]||23.46||[12 19 34] [0 0 -1]||6.588||0.617||0.923
Line 300: Line 300:
| 243/242||7.139||[1 3 7] [0 -2 -5]||2.745||0.451||0.404
| 243/242||7.139||[1 3 7] [0 -2 -5]||2.745||0.451||0.404
|-
|-
|2.3.11||(blacksmith, ferrier)||5-edo + ila
|2.3.11||(blacksmith, ferrier)||Sawa + ila
|(P8/5, ^1)
|(P8/5, ^1)
|[8 -5 0]||90.225||[5 8 17] [0 0 1]||2.76||5.666||0.927
|[8 -5 0]||90.225||[5 8 17] [0 0 1]||2.76||5.666||0.927
Line 356: Line 356:
|[-18 7 2]||16.321||[1 0 9] [0 2 -7]||6.241||0.453||0.861
|[-18 7 2]||16.321||[1 0 9] [0 2 -7]||6.241||0.453||0.861
|-
|-
|2.3.11||(compton, catler, duodecim)||12-edo + ila
|2.3.11||(compton, catler, duodecim)||Lalawa + ila
|(P8/12, ^1)
|(P8/12, ^1)
|[-19 12 0]||23.46||[12 19 42] [0 0 -1]||6.588||0.617||0.923
|[-19 12 0]||23.46||[12 19 42] [0 0 -1]||6.588||0.617||0.923
Line 372: Line 372:
| 169/162||73.235||[2 3 7] [0 1 2]||2.554||4.968||0.831
| 169/162||73.235||[2 3 7] [0 1 2]||2.554||4.968||0.831
|-
|-
|2.3.13||(blackwood)||5-edo + tha
|2.3.13||(blackwood)||Sawa + tha
|(P8/5, ^1)
|(P8/5, ^1)
|[8 -5 0]||90.225||[5 8 18] [0 0 1]||2.76||5.666||0.927
|[8 -5 0]||90.225||[5 8 18] [0 0 1]||2.76||5.666||0.927
Line 418: Line 418:
|-
|-
|2.3.13||(compton, catcall, catler)
|2.3.13||(compton, catcall, catler)
|12-edo + tha
|Lalawa + tha
|(P8/12, ^1)
|(P8/12, ^1)
|[-19 12 0]||23.46||[12 19 45] [0 0 -1]||6.588||0.617||0.923
|[-19 12 0]||23.46||[12 19 45] [0 0 -1]||6.588||0.617||0.923
Line 546: Line 546:
| | Quad
| | Quad
|2-edo & Yoyo + za
|2-edo & Yoyo + za
'''(4-edo + za?)'''
|(P8/4, ^1)
|(P8/4, ^1)
| | 9/8, 25/24 (27/25)
| | 9/8, 25/24 (27/25)
Line 690: Line 689:
|2.3.5.7
|2.3.5.7
| | Quint
| | Quint
|5-edo & Gubi + za
|Sawa & Gubi + za
|(P8/5, ^1)
|(P8/5, ^1)
| | 256/243, 16/15 (27/25)
| | 256/243, 16/15 (27/25)
Line 803: Line 802:
|2.3.5.7
|2.3.5.7
| | Blacksmith
| | Blacksmith
|5-edo (& Zo) + ya
|Sawa (& Zo) + ya
|(P8/5, ^1)
|(P8/5, ^1)
| | 256/243, 28/27 (49/48)
| | 256/243, 28/27 (49/48)
Line 882: Line 881:
|2.3.5.7
|2.3.5.7
| | Jamesbond
| | Jamesbond
|7-edo (& Gu) + za
|Lawa (& Gu) + za
|(P8/7, ^1)
|(P8/7, ^1)
| | 2187/2048, '''(25/24)''' 81/80
| | 2187/2048, '''(25/24)''' 81/80
Line 1,181: Line 1,180:
|2.3.5.7
|2.3.5.7
| | Catler
| | Catler
|12-edo (& Gu) + za
|Lalawa (& Gu) + za
|(P8/12, ^1)
|(P8/12, ^1)
| |[-19 12], 81/80 (128/125)
| |[-19 12], 81/80 (128/125)
Line 1,527: Line 1,526:
|2.3.5.7
|2.3.5.7
| | Compton
| | Compton
|12-edo & Ruyoyo
|Lalawa & Ruyoyo
|(P8/12, ^1)
|(P8/12, ^1)
| |[-19 12], 225/224  
| |[-19 12], 225/224  
Line 2,316: Line 2,315:
|2.3.5.7
|2.3.5.7
| |1-edo (& Yobi) + za
| |1-edo (& Yobi) + za
or za nowa (2.7 JI)
| | 4/3, 5/4
| | 4/3, 5/4
|(P8, M2)
|(P8, M2)
Line 2,327: Line 2,327:
|2.3.5.7
|2.3.5.7
| |1-edo (& Rubi) + ya
| |1-edo (& Rubi) + ya
or ya nowa (2.5 JI)
| | 4/3, 8/7 (7/6)  
| | 4/3, 8/7 (7/6)  
|(P8, M3)
|(P8, M3)
Line 2,588: Line 2,589:
|-
|-
| |  
| |  
|2-edo & Yoyo & Ruyo + ela  
|2-edo & Yoyo & Ruyo + ela
'''(4-edo & Ruyo + ela?)'''
| | 9/8, 25/24, 15/14
| | 9/8, 25/24, 15/14
|(P8/4, ^1)
|(P8/4, ^1)
Line 2,697: Line 2,697:
|-
|-
| |  
| |  
|5-edo & Gubi & Zogu + ela
|Sawa & Gubi & Zogu + ela
| | 256/243, 16/15, 21/20 (28/27)
| | 256/243, 16/15, 21/20 (28/27)
|(P8/5, ^1)
|(P8/5, ^1)
Line 2,868: Line 2,868:
|-
|-
| |  
| |  
|5-edo (& Zo & Loru) + ya
|Sawa (& Zo & Loru) + ya
| | 256/243, 28/27, 22/21 (33/32)
| | 256/243, 28/27, 22/21 (33/32)
|(P8/5, ^1)
|(P8/5, ^1)
Line 2,895: Line 2,895:
|-
|-
| | Ferrum
| | Ferrum
|5-edo & Zo & Luzoyo
|Sawa & Zo & Luzoyo
| | 256/243, 28/27 (49/48), 35/33
| | 256/243, 28/27 (49/48), 35/33
|(P8/5, ^1)
|(P8/5, ^1)
Line 2,950: Line 2,950:
|-
|-
| | Jamesbond
| | Jamesbond
|7-edo (& Gu & Lo) + za
|Lawa (& Gu & Lo) + za
| | [-11 7], (25/24) 81/80, 33/32 (45/44)
| | [-11 7], (25/24) 81/80, 33/32 (45/44)
|(P8/7,^1)
|(P8/7,^1)
Line 3,032: Line 3,032:
|-
|-
| | Blacksmith
| | Blacksmith
|5-edo & Zo & Loyo
|Sawa & Zo & Loyo
| | 256/243, 28/27 (49/48 64/63), 55/54
| | 256/243, 28/27 (49/48 64/63), 55/54
|(P8/5, ^1)
|(P8/5, ^1)
Line 3,087: Line 3,087:
|-
|-
| | Ferrier
| | Ferrier
|5-edo & Zo & Lozogugu
|Sawa & Zo & Lozogugu
| | 256/243, 28/27 (49/48 64/63), 77/75
| | 256/243, 28/27 (49/48 64/63), 77/75
|(P8/5, ^1)
|(P8/5, ^1)
Line 3,150: Line 3,150:
|-
|-
| | Duodecim
| | Duodecim
|12-edo (& Gu & Rugu) + ela
|Lalawa (& Gu & Rugu) + ela
| | [-19 12], 81/80, 36/35 (50/49 64/63)
| | [-19 12], 81/80, 36/35 (50/49 64/63)
|(P8/12, ^1)
|(P8/12, ^1)
Line 4,071: Line 4,071:
|-
|-
|1-edo & Yobi & Rubi + ela
|1-edo & Yobi & Rubi + ela
or ela nowa
or ela nowa (2.11 JI)
| | 4/3, 5/4, 8/7 (7/6)
| | 4/3, 5/4, 8/7 (7/6)
|(P8, P4)
|(P8, P4)
Line 4,081: Line 4,081:
|-
|-
|1-edo & Yobi & Loquad + za
|1-edo & Yobi & Loquad + za
or za nowa
or za nowa (2.7 JI)
| | 4/3, 5/4, 11/8 (11/10)
| | 4/3, 5/4, 11/8 (11/10)
|(P8, M2)
|(P8, M2)
Line 4,361: Line 4,361:
|-
|-
| |  
| |  
|2-edo & Yoyo & Ruyo + ela  
|2-edo & Yoyo & Ruyo + ela
'''(4-edo & Ruyo + ela?)'''
| | 9/8, 25/24, 15/14
| | 9/8, 25/24, 15/14
|(P8/4, ^1)
|(P8/4, ^1)
Line 4,470: Line 4,469:
|-
|-
| |  
| |  
|5-edo & Gubi & Zogu + ela
|Sawa & Gubi & Zogu + ela
| | 256/243, 16/15, 21/20 (28/27)
| | 256/243, 16/15, 21/20 (28/27)
|(P8/5, ^1)
|(P8/5, ^1)
Line 4,641: Line 4,640:
|-
|-
| |  
| |  
|5-edo (& Zo & Loru) + ya
|Sawa (& Zo & Loru) + ya
| | 256/243, 28/27, 22/21 (33/32)
| | 256/243, 28/27, 22/21 (33/32)
|(P8/5, ^1)
|(P8/5, ^1)
Line 4,668: Line 4,667:
|-
|-
| | Ferrum
| | Ferrum
|5-edo & Zo & Luzoyo
|Sawa & Zo & Luzoyo
| | 256/243, 28/27 (49/48), 35/33
| | 256/243, 28/27 (49/48), 35/33
|(P8/5, ^1)
|(P8/5, ^1)
Line 4,723: Line 4,722:
|-
|-
| | Jamesbond
| | Jamesbond
|7-edo (& Gu & Lo) + za
|Lawa (& Gu & Lo) + za
| | [-11 7], (25/24) 81/80, 33/32 (45/44)
| | [-11 7], (25/24) 81/80, 33/32 (45/44)
|(P8/7,^1)
|(P8/7,^1)
Line 4,805: Line 4,804:
|-
|-
| | Blacksmith
| | Blacksmith
|5-edo & Zo & Loyo
|Sawa & Zo & Loyo
| | 256/243, 28/27 (49/48 64/63), 55/54
| | 256/243, 28/27 (49/48 64/63), 55/54
|(P8/5, ^1)
|(P8/5, ^1)
Line 4,860: Line 4,859:
|-
|-
| | Ferrier
| | Ferrier
|5-edo & Zo & Lozogugu
|Sawa & Zo & Lozogugu
| | 256/243, 28/27 (49/48 64/63), 77/75
| | 256/243, 28/27 (49/48 64/63), 77/75
|(P8/5, ^1)
|(P8/5, ^1)
Line 4,923: Line 4,922:
|-
|-
| | Duodecim
| | Duodecim
|12-edo (& Gu & Rugu) + ela
|Lalawa (& Gu & Rugu) + ela
| | [-19 12], 81/80, 36/35 (50/49 64/63)
| | [-19 12], 81/80, 36/35 (50/49 64/63)
|(P8/12, ^1)
|(P8/12, ^1)
Line 5,844: Line 5,843:
|-
|-
|1-edo & Yobi & Rubi + ela
|1-edo & Yobi & Rubi + ela
or ela nowa
or ela nowa (2.11 JI)
| | 4/3, 5/4, 8/7 (7/6)
| | 4/3, 5/4, 8/7 (7/6)
|(P8, P4)
|(P8, P4)
Line 5,854: Line 5,853:
|-
|-
|1-edo & Yobi & Loquad + za
|1-edo & Yobi & Loquad + za
or za nowa
or za nowa (2.7 JI)
| | 4/3, 5/4, 11/8 (11/10)
| | 4/3, 5/4, 11/8 (11/10)
|(P8, M2)
|(P8, M2)
Line 6,135: Line 6,134:
|-
|-
| |  
| |  
|2-edo & Yoyo & Ruyo + ela  
|2-edo & Yoyo & Ruyo + ela
'''(4-edo & Ruyo + ela?)'''
| | 9/8, 25/24, 15/14
| | 9/8, 25/24, 15/14
|(P8/4, ^1)
|(P8/4, ^1)
Line 6,244: Line 6,242:
|-
|-
| |  
| |  
|5-edo & Gubi & Zogu + ela
|Sawa & Gubi & Zogu + ela
| | 256/243, 16/15, 21/20 (28/27)
| | 256/243, 16/15, 21/20 (28/27)
|(P8/5, ^1)
|(P8/5, ^1)
Line 6,415: Line 6,413:
|-
|-
| |  
| |  
|5-edo (& Zo & Loru) + ya
|Sawa (& Zo & Loru) + ya
| | 256/243, 28/27, 22/21 (33/32)
| | 256/243, 28/27, 22/21 (33/32)
|(P8/5, ^1)
|(P8/5, ^1)
Line 6,442: Line 6,440:
|-
|-
| | Ferrum
| | Ferrum
|5-edo & Zo & Luzoyo
|Sawa & Zo & Luzoyo
| | 256/243, 28/27 (49/48), 35/33
| | 256/243, 28/27 (49/48), 35/33
|(P8/5, ^1)
|(P8/5, ^1)
Line 6,497: Line 6,495:
|-
|-
| | Jamesbond
| | Jamesbond
|7-edo (& Gu & Lo) + za
|Lawa (& Gu & Lo) + za
| | [-11 7], (25/24) 81/80, 33/32 (45/44)
| | [-11 7], (25/24) 81/80, 33/32 (45/44)
|(P8/7,^1)
|(P8/7,^1)
Line 6,579: Line 6,577:
|-
|-
| | Blacksmith
| | Blacksmith
|5-edo & Zo & Loyo
|Sawa & Zo & Loyo
| | 256/243, 28/27 (49/48 64/63), 55/54
| | 256/243, 28/27 (49/48 64/63), 55/54
|(P8/5, ^1)
|(P8/5, ^1)
Line 6,634: Line 6,632:
|-
|-
| | Ferrier
| | Ferrier
|5-edo & Zo & Lozogugu
|Sawa & Zo & Lozogugu
| | 256/243, 28/27 (49/48 64/63), 77/75
| | 256/243, 28/27 (49/48 64/63), 77/75
|(P8/5, ^1)
|(P8/5, ^1)
Line 6,697: Line 6,695:
|-
|-
| | Duodecim
| | Duodecim
|12-edo (& Gu & Rugu) + ela
|Lalawa (& Gu & Rugu) + ela
| | [-19 12], 81/80, 36/35 (50/49 64/63)
| | [-19 12], 81/80, 36/35 (50/49 64/63)
|(P8/12, ^1)
|(P8/12, ^1)
Line 7,618: Line 7,616:
|-
|-
|1-edo & Yobi & Rubi + ela
|1-edo & Yobi & Rubi + ela
or ela nowa
or ela nowa (2.11 JI)
| | 4/3, 5/4, 8/7 (7/6)
| | 4/3, 5/4, 8/7 (7/6)
|(P8, P4)
|(P8, P4)
Line 7,628: Line 7,626:
|-
|-
|1-edo & Yobi & Loquad + za
|1-edo & Yobi & Loquad + za
or za nowa
or za nowa (2.7 JI)
| | 4/3, 5/4, 11/8 (11/10)
| | 4/3, 5/4, 11/8 (11/10)
|(P8, M2)
|(P8, M2)
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