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ABACABA JI scales: Difference between revisions

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== 729-limit symmetrical ABACABA scales with steps > 20c ==
== 729-limit symmetrical ABACABA scales with steps > 20c ==
=== Tetrachord to 4/3 -> C = 9/8 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 4/3 -> C = 9/8
|+
!A
!A
!B
!B
Line 21: Line 23:
|12/11
|12/11
|121/108
|121/108
|1/1 12/11 11/9 4/3 3/2 18/11 11/6 2/1    
|1/1 12/11 11/9 4/3 3/2 18/11 11/6 2/1  
|121
|121
|-
|-
|13/12
|13/12
|192/169
|192/169
|1/1 13/12 16/13 4/3 3/2 13/8 24/13 2/1  
|1/1 13/12 16/13 4/3 3/2 13/8 24/13 2/1
|169
|169
|-
|-
Line 36: Line 38:
|17/15
|17/15
|300/289
|300/289
|1/1 17/15 20/17 4/3 3/2 17/10 30/17 2/1  
|1/1 17/15 20/17 4/3 3/2 17/10 30/17 2/1
|289
|289
|-
|-
Line 46: Line 48:
|20/19
|20/19
|361/300
|361/300
|1/1 20/19 19/15 4/3 3/2 30/19 19/10 2/1  
|1/1 20/19 19/15 4/3 3/2 30/19 19/10 2/1
|361
|361
|-
|-
Line 61: Line 63:
|23/21
|23/21
|588/529
|588/529
|1/1 23/21 28/23 4/3 3/2 23/14 42/23 2/1  
|1/1 23/21 28/23 4/3 3/2 23/14 42/23 2/1
|529
|529
|-
|-
Line 76: Line 78:
|9/8
|9/8
|256/243
|256/243
|1/1 9/8 32/27 4/3 3/2 27/16 16/9 2/1  
|1/1 9/8 32/27 4/3 3/2 27/16 16/9 2/1
|729
|729
|-
|-
|28/27
|28/27
|243/196
|243/196
|1/1 28/27 9/7 4/3 3/2 14/9 27/14 2/1    
|1/1 28/27 9/7 4/3 3/2 14/9 27/14 2/1  
|729
|729
|-
|-
|18/17
|18/17
|289/243
|289/243
|1/1 18/17 34/27 4/3 3/2 27/17 17/9 2/1  
|1/1 18/17 34/27 4/3 3/2 27/17 17/9 2/1
|729
|729
|}
|}


=== Tetrachord to 7/5 -> C = 50/49 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 7/5 -> C = 50/49
|+
!A
!A
!B
!B
Line 108: Line 111:
|-
|-
|14/13
|14/13
|169/140        
|169/140      
|1/1 14/13 13/10 7/5 10/7 20/13 13/7 2/1
|1/1 14/13 13/10 7/5 10/7 20/13 13/7 2/1
|169            
|169          
|-
|-
|21/20
|21/20
Line 148: Line 151:
|}
|}


=== Tetrachord to 5/4 -> C = 32/25 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 5/4 -> C = 32/25
|+
!A
!A
!B
!B
Line 201: Line 205:
|}
|}


=== Tetrachord to 9/7 -> C = 98/81 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 9/7 -> C = 98/81
|+
!A
!A
!B
!B
Line 244: Line 249:
|}
|}


=== Tetrachord to 11/8 -> C = 128/121 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 11/8 -> C = 128/121
|+
!A
!A
!B
!B
Line 277: Line 283:
|}
|}


=== Tetrachord to 14/11 -> C = 121/98 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 14/11 -> C = 121/98
|+
!A
!A
!B
!B
Line 310: Line 317:
|}
|}


=== Tetrachord to 18/13 -> C = 169/162 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 18/13 -> C = 169/162
|+
!A
!A
!B
!B
Line 343: Line 351:
|}
|}


=== Tetrachord to 13/10 -> C = 200/169 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 13/10 -> C = 200/169
|+
!A
!A
!B
!B
Line 371: Line 380:
|}
|}


=== Tetrachord to 16/13 -> C = 169/128 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 16/13 -> C = 169/128
|+
!A
!A
!B
!B
Line 394: Line 404:
|}
|}


=== Tetrachord to 15/11 -> C = 243/225 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 15/11 -> C = 243/225
|+
!A
!A
!B
!B
Line 427: Line 438:
|}
|}


=== Tetrachord to 6/5 -> C = 25/18 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 6/5 -> C = 25/18
|+
!A
!A
!B
!B
Line 470: Line 482:
|}
|}


=== Tetrachord to 17/13 -> C = 338/289 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 17/13 -> C = 338/289
|+
!A
!A
!B
!B
Line 498: Line 511:
|}
|}


=== Tetrachord to 22/17 -> C = 289/242 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 22/17 -> C = 289/242
|+
!A
!A
!B
!B
Line 526: Line 540:
|}
|}


=== Tetrachord to 17/14 -> C = 392/289 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 17/14 -> C = 392/289
|+
!A
!A
!B
!B
Line 544: Line 559:
|}
|}


=== Tetrachord to 20/17 -> C = 289/200 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 20/17 -> C = 289/200
|+
!A
!A
!B
!B
Line 562: Line 578:
|}
|}


=== Tetrachord to 19/15 -> C = 540/361 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 19/15 -> C = 540/361
|+
!A
!A
!B
!B
Line 585: Line 602:
|}
|}


=== Tetrachord to 24/19 -> C = 361/288 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 24/19 -> C = 361/288
|+
!A
!A
!B
!B
Line 613: Line 631:
|}
|}


=== Tetrachord to 19/16 -> C = 512/361 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 19/16 -> C = 512/361
|+
!A
!A
!B
!B
Line 631: Line 650:
|}
|}


=== Tetrachord to 11/9 -> C = 162/121 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 11/9 -> C = 162/121
|+
!A
!A
!B
!B
Line 649: Line 669:
|}
|}


=== Tetrachord to 22/19 -> C = 361/242 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 22/19 -> C = 361/242
|+
!A
!A
!B
!B
Line 667: Line 688:
|}
|}


=== Tetrachord to 21/16 -> C = 512/441 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 21/16 -> C = 512/441
|+
!A
!A
!B
!B
Line 695: Line 717:
|}
|}


=== Tetrachord to 7/6 -> C = 72/49 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 7/6 -> C = 72/49
|+
!A
!A
!B
!B
Line 723: Line 746:
|}
|}


=== Tetrachord to 26/21 -> C = 441/338 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 26/21 -> C = 441/338
|+
!A
!A
!B
!B
Line 751: Line 775:
|}
|}


=== Tetrachord to 21/17 -> C = 578/451 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 21/17 -> C = 578/451
|+
!A
!A
!B
!B
Line 769: Line 794:
|}
|}


=== Tetrachord to 8/7 -> C = 49/32 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 8/7 -> C = 49/32
|+
!A
!A
!B
!B
Line 787: Line 813:
|}
|}


=== Tetrachord to 32/23 -> C = 529/512 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 32/23 -> C = 529/512
|+
!A
!A
!B
!B
Line 825: Line 852:
|}
|}


=== Tetrachord to 30/23 -> C = 529/540 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 30/23 -> C = 529/540
|+
!A
!A
!B
!B
Line 858: Line 886:
|}
|}


=== Tetrachord to 23/18 -> C = 648/529 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 23/18 -> C = 648/529
|+
!A
!A
!B
!B
Line 886: Line 915:
|}
|}


=== Tetrachord to 28/23 -> C = 529/392 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 28/23 -> C = 529/392
|+
!A
!A
!B
!B
Line 914: Line 944:
|}
|}


=== Tetrachord to 5/4 -> C = 32/25 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 5/4 -> C = 32/25
|+
!A
!A
!B
!B
Line 932: Line 963:
|}
|}


=== Tetrachord to 23/19 -> C = 722/529 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 23/19 -> C = 722/529
|+
!A
!A
!B
!B
Line 950: Line 982:
|}
|}


=== Tetrachord to 13/11 -> C = 242/169 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 13/11 -> C = 242/169
|+
!A
!A
!B
!B
Line 968: Line 1,001:
|}
|}


=== Tetrachord to 26/23 -> C = 529/338 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 26/23 -> C = 529/338
|+
!A
!A
!B
!B
Line 986: Line 1,020:
|}
|}


=== Tetrachord to 25/18 -> C = 648/625 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 25/18 -> C = 648/625
|+
!A
!A
!B
!B
Line 1,024: Line 1,059:
|}
|}


=== Tetrachord to 25/19 -> C = 722/625 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 25/19 -> C = 722/625
|+
!A
!A
!B
!B
Line 1,057: Line 1,093:
|}
|}


=== Tetrachord to 34/25 -> C = 625/578 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 34/25 -> C = 625/578
|+
!A
!A
!B
!B
Line 1,090: Line 1,127:
|}
|}


=== Tetrachord to 32/25 -> C = 32/25 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 32/25 -> C = 32/25
|+
!A
!A
!B
!B
Line 1,118: Line 1,156:
|}
|}


=== Tetrachord to 25/21 -> C = 882/625 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 25/21 -> C = 882/625
|+
!A
!A
!B
!B
Line 1,136: Line 1,175:
|}
|}


=== Tetrachord to 25/22 -> C = 968/625 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 25/22 -> C = 968/625
|+
!A
!A
!B
!B
Line 1,154: Line 1,194:
|}
|}


=== Tetrachord to 28/25 -> C = 625/392 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 28/25 -> C = 625/392
|+
!A
!A
!B
!B
Line 1,172: Line 1,213:
|}
|}


=== Tetrachord to 27/20 -> C = 800/729 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 27/20 -> C = 800/729
|+
!A
!A
!B
!B
Line 1,210: Line 1,252:
|}
|}


=== Tetrachord to 27/22 -> C = 968/729 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 27/22 -> C = 968/729
|+
!A
!A
!B
!B
Line 1,238: Line 1,281:
|}
|}


=== Tetrachord to 34/27 -> C = 729/578 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 34/27 -> C = 729/578
|+
!A
!A
!B
!B
Line 1,261: Line 1,305:
|}
|}


=== Tetrachord to 32/27 -> C = 729/512 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 32/27 -> C = 729/512
|+
!A
!A
!B
!B
Line 1,279: Line 1,324:
|}
|}


=== Tetrachord to 9/8 -> C = 128/81 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 9/8 -> C = 128/81
|+
!A
!A
!B
!B
Line 1,297: Line 1,343:
|}
|}


=== Tetrachord to 27/23 -> C = 1058/729 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 27/23 -> C = 1058/729
|+
!A
!A
!B
!B
Line 1,315: Line 1,362:
|}
|}


=== Tetrachord to 15/13 -> C = 338/225 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 15/13 -> C = 338/225
|+
!A
!A
!B
!B
Line 1,328: Line 1,376:
|}
|}


=== Tetrachord to 10/9 -> C = 81/50 ===
{| class="wikitable"
{| class="wikitable"
|+Tetrachord to 10/9 -> C = 81/50
|+
!A
!A
!B
!B
Retrieved from "https://en.xen.wiki/w/ABACABA_JI_scales"