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== Interval chains ==
== Interval chains ==
There are two different mappings of the 11 limit. One is just called "pajara" and is slightly more complex but suffers almost no loss of accuracy compared to the 7 limit. The other, called "pajarous" to avoid confusion, loses some accuracy and there's little reason to use it unless you're using 22edo, which is the intersection of both systems.
There are two different mappings of the 11-limit. One is just called "pajara" and is slightly more complex but suffers almost no loss of accuracy compared to the 7-limit. The other, called "pajarous" to avoid confusion, loses some accuracy and there's little reason to use it unless you're using 22edo, which is the intersection of both systems.


=== Basic 7-limit pajara ===
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">'''Intervals of pajara (12&amp;22)'''</div>
<div class="mw-collapsible-content">
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 771.81
! | Generator
| | 878.86
! | -11
| | 985.90
! | -10
| | 1092.95
! | -9
| | 0.
! | -8
| | 107.05
! | -7
| | 214.10
! | -6
| | 321.14
| | 428.19
|-
|-
| | 14/9
! | Cents*
| | 5/3
| | 24.26
| | 7/4~16/9
| | 131.15
| | 238.03
| | 344.92
| | 451.80
| | 558.69
|-
! | Ratios
| |  
| |  
| |  
| |  
| | 1/1
| | 11/9
| |  
| |  
| | 9/8~8/7
| | 11/8
| | 6/5
|-
| | 9/7
! | Generator
! | -5
! | -4
! | -3
! | -2
! | -1
! | 0
|-
|-
| | 171.81
! | Cents*
| | 278.86
| | 65.57
| | 385.90
| | 172.46
| | 492.95
| | 279.34
| | 600.
| | 386.23
| | 707.05
| | 493.11
| | 814.10
| | 600.00
| | 921.14
| | 1028.19
|-
|-
| | 10/9
! | Ratios
| |
| | 11/10, 10/9
| | 7/6
| | 7/6
| | 5/4
| | 5/4
| | 4/3
| | 4/3
| | 7/5~10/7
| | 7/5, 10/7
| | 3/2
|-
| | 8/5
! | Generator
| | 12/7
! | 0
| | 9/5
! | 1
|}
! | 2
 
! | 3
=== 11-limit pajara ===
! | 4
{| class="wikitable"
! | 5
|-
|-
| | 344.92
! | Cents*
| | 451.80
| | 0.00
| | 558.69
| | 665.57
| | 772.46
| | 879.34
| | 986.23
| | 1093.11
| | 0.
| | 106.89
| | 106.89
| | 213.77
| | 213.77
Line 73: Line 80:
| | 427.54
| | 427.54
| | 534.43
| | 534.43
| | 641.31
| | 748.20
| | 855.08
|-
|-
| | 11/9
! | Ratios
| |
| | 11/8
| |
| | 14/9~11/7
| | 5/3
| | 7/4~16/9
| |
| | 1/1
| | 1/1
| |  
| | 16/15, 15/14
| | 9/8~8/7
| | 9/8, 8/7
| | 6/5
| | 6/5
| | 14/9~9/7
| | 14/11, 9/7
| |  
| | 15/11
| | 16/11
|-
| |  
! | Generator
| | 18/11
! | 6
! | 7
! | 8
! | 9
! | 10
! | 11
|-
|-
| | 944.92
! | Cents*
| | 1051.80
| | 1158.69
| | 65.57
| | 172.46
| | 279.34
| | 386.23
| | 493.11
| | 600.
| | 706.89
| | 813.77
| | 920.66
| | 1027.54
| | 1134.43
| | 41.31
| | 41.31
| | 148.20
| | 148.20
| | 255.08
| | 255.08
| | 361.97
| | 468.85
| | 575.74
|-
|-
! | Ratios
| |  
| |  
| | 11/6
| | 12/11
| |  
| |  
| |
| | 11/10~10/9
| | 7/6
| | 5/4
| | 4/3
| | 7/5~10/7
| | 3/2
| | 8/5
| | 12/7
| | 9/5
| |  
| |  
| |  
| |  
| | 12/11
| |  
| |  
|}
|}
<nowiki>*</nowiki> in 11-limit POTE tuning
</div></div>


=== Pajarous ===
 
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">'''Intervals of pajarous (10&amp;22)'''</div>
<div class="mw-collapsible-content">
{| class="wikitable"
{| class="wikitable"
|-
|-
! | Generator
! |
! | -10
! | -9
! | -8
! | -7
! | -6
|-
! | Cents*
| |
| | 104.22
| | 213.80
| | 323.38
| | 432.96
| | 432.96
| | 542.54
| | 542.53
| | 652.11
| | 761.69
| | 871.27
| | 980.85
| | 1090.42
| | 0.
| | 109.58
| | 219.15
| | 328.73
| | 438.31
| | 547.89
| | 657.46
| | 767.04
|-
|-
| | 14/11
! | Ratios
| |  
| |  
| | 16/11
| | 14/9
| | 18/11~5/3
| | 7/4~16/9
| |  
| |  
| | 1/1
| |  
| |  
| | 9/8~8/7
| | 6/5~11/9
| | 9/7
| | 11/8
| |  
| |  
| | 11/7
| | 14/11
| | 15/11
|-
|-
| | 1032.96
! | Generator
| | 1142.54
! | -5
! | -4
! | -3
! | -2
! | -1
! | 0
|-
! | Cents*
| | 52.11
| | 52.11
| | 161.69
| | 161.69
| | 271.27
| | 271.27
| | 380.85
| | 380.84
| | 490.42
| | 490.42
| | 600.
| | 600.00
| | 709.58
| | 819.15
| | 928.73
| | 1038.31
| | 1147.89
| | 57.46
| | 167.04
|-
|-
| | 20/11
! | Ratios
| |  
| |  
| |
| | 12/11, 10/9
| | 12/11~10/9
| | 7/6
| | 7/6
| | 5/4
| | 5/4
| | 4/3
| | 4/3
| | 7/5~10/7
| | 7/5, 10/7
| | 3/2
|-
| | 8/5
! | Generator
| | 12/7
! | 0
| | 9/5~11/6
! | 1
! | 2
! | 3
! | 4
! | 5
|-
! | Cents*
| | 0.00
| | 109.58
| | 219.16
| | 328.73
| | 438.31
| | 547.89
|-
! | Ratios
| | 1/1
| | 16/15, 15/14
| | 9/8, 8/7
| | 6/5, 11/9
| | 9/7
| | 11/8
|-
! | Generator
! | 6
! | 7
! | 8
! | 9
! | 10
! |
|-
! | Cents*
| | 57.47
| | 167.04
| | 276.62
| | 386.20
| | 495.78
| |  
| |  
|-
! | Ratios
| |  
| |  
| | 11/10
| | 11/10
| |
| |
| |
| |
|}
|}
<nowiki>*</nowiki> in 11-limit POTE tuning
</div></div>


== MOSes ==
== MOSes ==
Retrieved from "https://en.xen.wiki/w/Pajara"