Xenharmonic Wiki

Starling temperaments: Difference between revisions

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VisualWikitext
- bisemidim (more properly addressed in stearnsmic clan)
m Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "
 
Line 70: Line 70:
Comma list: 126/125, 176/175, 243/242
Comma list: 126/125, 176/175, 243/242


Mapping: {{mapping| 1 -1 0 1 -3 | 0 10 9 7 25 }}
{{Mapping|legend=0| 1 -1 0 1 -3 | 0 10 9 7 25 }}


Optimal tunings:  
Optimal tunings:  
Line 85: Line 85:
Comma list: 126/125, 144/143, 176/175, 196/195
Comma list: 126/125, 144/143, 176/175, 196/195


Mapping: {{mapping| 1 -1 0 1 -3 5 | 0 10 9 7 25 -5 }}
{{Mapping|legend=0| 1 -1 0 1 -3 5 | 0 10 9 7 25 -5 }}


Optimal tunings:  
Optimal tunings:  
Line 100: Line 100:
Comma list: 78/77, 91/90, 126/125, 176/175
Comma list: 78/77, 91/90, 126/125, 176/175


Mapping: {{mapping| 1 -1 0 1 -3 -2 | 0 10 9 7 25 22 }}
{{Mapping|legend=0| 1 -1 0 1 -3 -2 | 0 10 9 7 25 22 }}


Optimal tunings:  
Optimal tunings:  
Line 115: Line 115:
Comma list: 66/65, 105/104, 126/125, 243/242
Comma list: 66/65, 105/104, 126/125, 243/242


Mapping: {{mapping| 1 -1 0 1 -3 -3 | 0 10 9 7 25 26 }}
{{Mapping|legend=0| 1 -1 0 1 -3 -3 | 0 10 9 7 25 26 }}


Optimal tunings:  
Optimal tunings:  
Line 130: Line 130:
Comma list: 99/98, 126/125, 385/384
Comma list: 99/98, 126/125, 385/384


Mapping: {{mapping| 1 -1 0 1 5 | 0 10 9 7 -6 }}
{{Mapping|legend=0| 1 -1 0 1 5 | 0 10 9 7 -6 }}


Optimal tunings:  
Optimal tunings:  
Line 145: Line 145:
Comma list: 56/55, 100/99, 1728/1715
Comma list: 56/55, 100/99, 1728/1715


Mapping: {{mapping| 1 -1 0 1 4 | 0 10 9 7 -2 }}
{{Mapping|legend=0| 1 -1 0 1 4 | 0 10 9 7 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 192: Line 192:
Comma list: 99/98, 121/120, 126/125
Comma list: 99/98, 121/120, 126/125


Mapping: {{mapping| 1 -8 -9 -12 -7 | 0 11 13 17 12 }}
{{Mapping|legend=0| 1 -8 -9 -12 -7 | 0 11 13 17 12 }}


Optimal tunings:  
Optimal tunings:  
Line 214: Line 214:
Comma list: 66/65, 99/98, 121/120, 126/125
Comma list: 66/65, 99/98, 121/120, 126/125


Mapping: {{mapping| 1 -8 -9 -12 -7 -5 | 0 11 13 17 12 10 }}
{{Mapping|legend=0| 1 -8 -9 -12 -7 -5 | 0 11 13 17 12 10 }}


Optimal tunings:  
Optimal tunings:  
Line 250: Line 250:
Comma list: 126/125, 176/175, 26411/26244
Comma list: 126/125, 176/175, 26411/26244


Mapping: {{mapping| 1 -11 -11 -12 -38 | 0 17 18 20 56 }}
{{Mapping|legend=0| 1 -11 -11 -12 -38 | 0 17 18 20 56 }}


Optimal tunings:  
Optimal tunings:  
Line 265: Line 265:
Comma list: 126/125, 176/175, 196/195, 13013/12960
Comma list: 126/125, 176/175, 196/195, 13013/12960


Mapping: {{mapping| 1 -11 -11 -12 -38 0 | 0 17 18 20 56 5 }}
{{Mapping|legend=0| 1 -11 -11 -12 -38 0 | 0 17 18 20 56 5 }}


Optimal tunings:  
Optimal tunings:  
Line 302: Line 302:
Comma list: 126/125, 385/384, 2401/2376
Comma list: 126/125, 385/384, 2401/2376


Mapping: {{mapping| 2 -1 1 3 9 | 0 8 7 5 -4 }}
{{Mapping|legend=0| 2 -1 1 3 9 | 0 8 7 5 -4 }}


Optimal tunings:  
Optimal tunings:  
Line 317: Line 317:
Comma list: 126/125, 196/195, 364/363, 385/384
Comma list: 126/125, 196/195, 364/363, 385/384


Mapping: {{mapping| 2 -1 1 3 9 10 | 0 8 7 5 -4 -5 }}
{{Mapping|legend=0| 2 -1 1 3 9 10 | 0 8 7 5 -4 -5 }}


Optimal tunings:  
Optimal tunings:  
Line 355: Line 355:
Comma list: 126/125, 540/539, 16384/16335
Comma list: 126/125, 540/539, 16384/16335


Mapping: {{mapping| 1 -6 -12 -25 22 | 0 9 17 33 -22 }}
{{Mapping|legend=0| 1 -6 -12 -25 22 | 0 9 17 33 -22 }}


Optimal tunings:  
Optimal tunings:  
Line 370: Line 370:
Comma list: 126/125, 169/168, 540/539, 729/728
Comma list: 126/125, 169/168, 540/539, 729/728


Mapping: {{mapping| 1 -6 -12 -25 22 -14 | 0 9 17 33 -22 21 }}
{{Mapping|legend=0| 1 -6 -12 -25 22 -14 | 0 9 17 33 -22 21 }}


Optimal tunings:  
Optimal tunings:  
Line 385: Line 385:
Comma list: 126/125, 169/168, 221/220, 256/255, 540/539
Comma list: 126/125, 169/168, 221/220, 256/255, 540/539


Mapping: {{mapping| 1 -6 -12 -25 22 -14 26 | 0 9 17 33 -22 21 -26 }}
{{Mapping|legend=0| 1 -6 -12 -25 22 -14 26 | 0 9 17 33 -22 21 -26 }}


Optimal tunings:  
Optimal tunings:  
Line 400: Line 400:
Comma list: 126/125, 169/168, 171/170, 221/220, 256/255, 540/539
Comma list: 126/125, 169/168, 171/170, 221/220, 256/255, 540/539


Mapping: {{mapping| 1 -6 -12 -25 22 -14 26 27 | 0 9 17 33 -22 21 -26 -27 }}
{{Mapping|legend=0| 1 -6 -12 -25 22 -14 26 27 | 0 9 17 33 -22 21 -26 -27 }}


Optimal tunings:  
Optimal tunings:  
Line 415: Line 415:
Comma list: 126/125, 162/161, 169/168, 171/170, 208/207, 221/220, 231/230
Comma list: 126/125, 162/161, 169/168, 171/170, 208/207, 221/220, 231/230


Mapping: {{mapping| 1 -6 -12 -25 22 -14 26 27 2 | 0 9 17 33 -22 21 -26 -27 3 }}
{{Mapping|legend=0| 1 -6 -12 -25 22 -14 26 27 2 | 0 9 17 33 -22 21 -26 -27 3 }}


Optimal tunings:  
Optimal tunings:  
Line 450: Line 450:
Comma list: 126/125, 176/175, 864/847
Comma list: 126/125, 176/175, 864/847


Mapping: {{mapping| 1 -9 -5 2 -12 | 0 13 9 1 19 }}
{{Mapping|legend=0| 1 -9 -5 2 -12 | 0 13 9 1 19 }}


Optimal tunings:  
Optimal tunings:  
Line 465: Line 465:
Comma list: 78/77, 126/125, 144/143, 176/175
Comma list: 78/77, 126/125, 144/143, 176/175


Mapping: {{mapping| 1 -9 -5 2 -12 -2 | 0 13 9 1 19 7 }}
{{Mapping|legend=0| 1 -9 -5 2 -12 -2 | 0 13 9 1 19 7 }}


Optimal tunings:  
Optimal tunings:  
Line 499: Line 499:
Comma list: 99/98, 126/125, 243/242
Comma list: 99/98, 126/125, 243/242


Mapping: {{mapping| 1 -5 -7 -12 -13 | 0 12 17 27 30 }}
{{Mapping|legend=0| 1 -5 -7 -12 -13 | 0 12 17 27 30 }}


Optimal tunings:  
Optimal tunings:  
Line 514: Line 514:
Comma list: 66/65, 99/98, 126/125, 243/242
Comma list: 66/65, 99/98, 126/125, 243/242


Mapping: {{mapping| 1 -5 -7 -12 -13 -10 | 0 12 17 27 30 25 }}
{{Mapping|legend=0| 1 -5 -7 -12 -13 -10 | 0 12 17 27 30 25 }}


Optimal tunings:  
Optimal tunings:  
Line 557: Line 557:
Comma list: 126/125, 385/384, 2420/2401
Comma list: 126/125, 385/384, 2420/2401


Mapping: {{mapping| 1 -7 -4 1 3 | 0 19 14 4 1 }}
{{Mapping|legend=0| 1 -7 -4 1 3 | 0 19 14 4 1 }}


Optimal tunings:  
Optimal tunings:  
Line 572: Line 572:
Comma list: 126/125, 196/195, 385/384, 2420/2401
Comma list: 126/125, 196/195, 385/384, 2420/2401


Mapping: {{mapping| 1 -7 -4 1 3 1 | 0 19 14 4 1 6 }}
{{Mapping|legend=0| 1 -7 -4 1 3 1 | 0 19 14 4 1 6 }}


Optimal tunings:  
Optimal tunings:  
Line 587: Line 587:
Comma list: 126/125, 176/175, 14641/14580
Comma list: 126/125, 176/175, 14641/14580


Mapping: {{mapping| 1 -7 -4 1 -11 | 0 19 14 4 32 }}
{{Mapping|legend=0| 1 -7 -4 1 -11 | 0 19 14 4 32 }}


Optimal tunings:  
Optimal tunings:  
Line 602: Line 602:
Comma list: 126/125, 176/175, 196/195, 14641/14580
Comma list: 126/125, 176/175, 196/195, 14641/14580


Mapping: {{mapping| 1 -7 -4 1 -11 15 | 0 19 14 4 32 -25 }}
{{Mapping|legend=0| 1 -7 -4 1 -11 15 | 0 19 14 4 32 -25 }}


Optimal tunings:  
Optimal tunings:  
Line 617: Line 617:
Comma list: 126/125, 144/143, 176/175, 1540/1521
Comma list: 126/125, 144/143, 176/175, 1540/1521


Mapping: {{mapping| 1 -7 -4 1 -11 1 | 0 19 14 4 32 6 }}
{{Mapping|legend=0| 1 -7 -4 1 -11 1 | 0 19 14 4 32 6 }}


Optimal tunings:  
Optimal tunings:  
Line 652: Line 652:
Comma list: 126/125, 176/175, 16384/16335
Comma list: 126/125, 176/175, 16384/16335


Mapping: {{mapping| 1 -2 2 9 9 | 0 11 1 -19 -17 }}
{{Mapping|legend=0| 1 -2 2 9 9 | 0 11 1 -19 -17 }}


Optimal tunings:  
Optimal tunings:  
Line 667: Line 667:
Comma list: 126/125, 169/168, 176/175, 364/363
Comma list: 126/125, 169/168, 176/175, 364/363


Mapping: {{mapping| 1 -2 2 9 9 5 | 0 11 1 -19 -17 -4 }}
{{Mapping|legend=0| 1 -2 2 9 9 5 | 0 11 1 -19 -17 -4 }}


Optimal tunings:  
Optimal tunings:  
Line 702: Line 702:
Comma list: 99/98, 126/125, 864/847
Comma list: 99/98, 126/125, 864/847


Mapping: {{mapping| 1 -4 -4 -5 -1 | 0 15 17 21 12 }}
{{Mapping|legend=0| 1 -4 -4 -5 -1 | 0 15 17 21 12 }}


Optimal tunings:  
Optimal tunings:  
Line 717: Line 717:
Comma list: 78/77, 99/98, 126/125, 144/143
Comma list: 78/77, 99/98, 126/125, 144/143


Mapping: {{mapping| 1 -4 -4 -5 -1 -3 | 0 15 17 21 12 18 }}
{{Mapping|legend=0| 1 -4 -4 -5 -1 -3 | 0 15 17 21 12 18 }}


Optimal tunings:  
Optimal tunings:  
Line 732: Line 732:
Comma list: 78/77, 99/98, 120/119, 126/125, 144/143
Comma list: 78/77, 99/98, 120/119, 126/125, 144/143


Mapping: {{mapping| 1 -4 -4 -5 -1 -3 0 | 0 15 17 21 12 18 11 }}
{{Mapping|legend=0| 1 -4 -4 -5 -1 -3 0 | 0 15 17 21 12 18 11 }}


Optimal tunings:  
Optimal tunings:  
Line 771: Line 771:
Comma list: 126/125, 540/539, 21609/21296
Comma list: 126/125, 540/539, 21609/21296


Mapping: {{mapping| 27 0 20 33 8 | 0 1 1 1 2 }}
{{Mapping|legend=0| 27 0 20 33 8 | 0 1 1 1 2 }}


Optimal tunings:  
Optimal tunings:  
Line 786: Line 786:
Comma list: 126/125, 144/143, 196/195, 21609/21296
Comma list: 126/125, 144/143, 196/195, 21609/21296


Mapping: {{mapping| 27 0 20 33 8 100 | 0 1 1 1 2 0 }}
{{Mapping|legend=0| 27 0 20 33 8 100 | 0 1 1 1 2 0 }}


Optimal tunings:  
Optimal tunings:  
Line 801: Line 801:
Comma list: 126/125, 144/143, 189/187, 196/195, 1452/1445
Comma list: 126/125, 144/143, 189/187, 196/195, 1452/1445


Mapping: {{mapping| 27 0 20 33 8 100 79 | 0 1 1 1 2 0 2 }}
{{Mapping|legend=0| 27 0 20 33 8 100 79 | 0 1 1 1 2 0 2 }}


Optimal tunings:  
Optimal tunings:  
Line 816: Line 816:
Comma list: 126/125, 144/143, 171/170, 189/187, 196/195, 969/968
Comma list: 126/125, 144/143, 171/170, 189/187, 196/195, 969/968


Mapping: {{mapping| 27 0 20 33 8 100 79 99 | 0 1 1 1 2 0 2 1 }}
{{Mapping|legend=0| 27 0 20 33 8 100 79 99 | 0 1 1 1 2 0 2 1 }}


Optimal tunings:  
Optimal tunings:  
Line 831: Line 831:
Comma list: 126/125, 144/143, 196/195, 221/220, 12005/11968
Comma list: 126/125, 144/143, 196/195, 221/220, 12005/11968


Mapping: {{mapping| 27 0 20 33 8 100 -18 | 0 1 1 1 2 0 3 }}
{{Mapping|legend=0| 27 0 20 33 8 100 -18 | 0 1 1 1 2 0 3 }}


Optimal tunings:  
Optimal tunings:  
Line 846: Line 846:
Comma list: 126/125, 144/143, 196/195, 210/209, 221/220, 1088/1083
Comma list: 126/125, 144/143, 196/195, 210/209, 221/220, 1088/1083


Mapping: {{mapping| 27 0 20 33 8 100 -18 72 | 0 1 1 1 2 0 3 1 }}
{{Mapping|legend=0| 27 0 20 33 8 100 -18 72 | 0 1 1 1 2 0 3 1 }}


Optimal tunings:  
Optimal tunings:  
Line 861: Line 861:
Comma list: 126/125, 169/168, 540/539, 975/968
Comma list: 126/125, 169/168, 540/539, 975/968


Mapping: {{mapping| 27 0 20 33 8 57 | 0 1 1 1 2 1 }}
{{Mapping|legend=0| 27 0 20 33 8 57 | 0 1 1 1 2 1 }}


Optimal tunings:  
Optimal tunings:  
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