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Buzzardsmic clan: Difference between revisions

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Full 7-limit temperaments discussed elsewhere are:
Full 7-limit temperaments discussed elsewhere are:
* [[Blackwood]] (+28/27) → [[Limmic temperaments #Blackwood|Limmic temperaments]]
* [[Blackwood]] (+28/27) → [[Blackwood family #Blackwood|Blackwood family]]
* ''[[Quadrasruta]]'' (+2048/2025) → [[Diaschismic family #Quadrasruta|Diaschismic family]]
* ''[[Quadrasruta]]'' (+2048/2025) → [[Diaschismic family #Quadrasruta|Diaschismic family]]
* ''[[Hemikleismic]] (+4000/3969) → [[Kleismic family #Hemikleismic|Kleismic family]]
* ''[[Hemikleismic]] (+4000/3969) → [[Kleismic family #Hemikleismic|Kleismic family]]
Line 64: Line 64:
Comma list: 176/175, 540/539, 5120/5103
Comma list: 176/175, 540/539, 5120/5103


Mapping: {{mapping| 1 0 -6 4 -12 | 0 4 21 -3 39 }}
{{Mapping|legend=0| 1 0 -6 4 -12 | 0 4 21 -3 39 }}


Optimal tunings:  
Optimal tunings:  
Line 79: Line 79:
Comma list: 176/175, 351/350, 540/539, 676/675
Comma list: 176/175, 351/350, 540/539, 676/675


Mapping: {{mapping| 1 0 -6 4 -12 -7 | 0 4 21 -3 39 27 }}
{{Mapping|legend=0| 1 0 -6 4 -12 -7 | 0 4 21 -3 39 27 }}


Optimal tunings:  
Optimal tunings:  
Line 94: Line 94:
Comma list: 176/175, 256/255, 351/350, 442/441, 540/539
Comma list: 176/175, 256/255, 351/350, 442/441, 540/539


Mapping: {{mapping| 1 0 -6 4 -12 -7 14 | 0 4 21 -3 39 27 -25 }}
{{Mapping|legend=0| 1 0 -6 4 -12 -7 14 | 0 4 21 -3 39 27 -25 }}


Optimal tunings:  
Optimal tunings:  
Line 109: Line 109:
Comma list: 176/175, 256/255, 286/285, 324/323, 351/350, 540/539
Comma list: 176/175, 256/255, 286/285, 324/323, 351/350, 540/539


Mapping: {{mapping| 1 0 -6 4 -12 -7 14 -12 | 0 4 21 -3 39 27 -25 41 }}
{{Mapping|legend=0| 1 0 -6 4 -12 -7 14 -12 | 0 4 21 -3 39 27 -25 41 }}


Optimal tunings:  
Optimal tunings:  
Line 124: Line 124:
Comma list: 99/98, 385/384, 2200/2187
Comma list: 99/98, 385/384, 2200/2187


Mapping: {{mapping| 1 0 -6 4 9 | 0 4 21 -3 -14 }}
{{Mapping|legend=0| 1 0 -6 4 9 | 0 4 21 -3 -14 }}


Optimal tunings:  
Optimal tunings:  
Line 139: Line 139:
Comma list: 99/98, 275/273, 385/384, 572/567
Comma list: 99/98, 275/273, 385/384, 572/567


Mapping: {{mapping| 1 0 -6 4 9 -7 | 0 4 21 -3 -14 27 }}
{{Mapping|legend=0| 1 0 -6 4 9 -7 | 0 4 21 -3 -14 27 }}


Optimal tunings:  
Optimal tunings:  
Line 173: Line 173:
Comma list: 540/539, 896/891, 12005/11979
Comma list: 540/539, 896/891, 12005/11979


Mapping: {{mapping| 1 0 17 4 11 | 0 4 -37 -3 -19 }}
{{Mapping|legend=0| 1 0 17 4 11 | 0 4 -37 -3 -19 }}


Optimal tunings:  
Optimal tunings:  
Line 188: Line 188:
Comma list: 352/351, 364/363, 540/539, 676/675
Comma list: 352/351, 364/363, 540/539, 676/675


Mapping: {{mapping| 1 0 17 4 11 16 | 0 4 -37 -3 -19 -31 }}
{{Mapping|legend=0| 1 0 17 4 11 16 | 0 4 -37 -3 -19 -31 }}


Optimal tunings:  
Optimal tunings:  
Line 252: Line 252:
Comma list: 169/168, 225/224, 640/637
Comma list: 169/168, 225/224, 640/637


Mapping: {{mapping| 1 -4 10 7 3 | 0 8 -11 -6 1 }}
{{Mapping|legend=0| 1 -4 10 7 3 | 0 8 -11 -6 1 }}


Optimal tunings:  
Optimal tunings:  
Line 267: Line 267:
Comma list: 225/224, 385/384, 6655/6561
Comma list: 225/224, 385/384, 6655/6561


Mapping: {{mapping| 1 -4 10 7 -14 | 0 8 -11 -6 25 }}
{{Mapping|legend=0| 1 -4 10 7 -14 | 0 8 -11 -6 25 }}


Optimal tunings:  
Optimal tunings:  
Line 282: Line 282:
Comma list: 169/168, 225/224, 275/273, 385/384
Comma list: 169/168, 225/224, 275/273, 385/384


Mapping: {{mapping| 1 -4 10 7 -14 3 | 0 8 -11 -6 25 1 }}
{{Mapping|legend=0| 1 -4 10 7 -14 3 | 0 8 -11 -6 25 1 }}


Optimal tunings:  
Optimal tunings:  
Line 297: Line 297:
Comma list: 99/98, 176/175, 51200/50421
Comma list: 99/98, 176/175, 51200/50421


Mapping: {{mapping| 1 -4 10 7 23 | 0 8 -11 -6 -28 }}
{{Mapping|legend=0| 1 -4 10 7 23 | 0 8 -11 -6 -28 }}


Optimal tunings:  
Optimal tunings:  
Line 312: Line 312:
Comma list: 99/98, 169/168, 176/175, 640/637
Comma list: 99/98, 169/168, 176/175, 640/637


Mapping: {{mapping| 1 -4 10 7 23 3 | 0 8 -11 -6 -28 1 }}
{{Mapping|legend=0| 1 -4 10 7 23 3 | 0 8 -11 -6 -28 1 }}


Optimal tunings:  
Optimal tunings:  
Line 351: Line 351:
Comma list: 126/125, 176/175, 1344/1331
Comma list: 126/125, 176/175, 1344/1331


Mapping: {{mapping| 1 -4 0 7 3 | 0 12 5 -9 1 }}
{{Mapping|legend=0| 1 -4 0 7 3 | 0 12 5 -9 1 }}


Optimal tunings:  
Optimal tunings:  
Line 366: Line 366:
Comma list: 126/125, 144/143, 176/175, 364/363
Comma list: 126/125, 144/143, 176/175, 364/363


Mapping: {{mapping| 1 -4 0 7 3 -7 | 0 12 5 -9 1 23 }}
{{Mapping|legend=0| 1 -4 0 7 3 -7 | 0 12 5 -9 1 23 }}


Optimal tunings:  
Optimal tunings:  
Line 376: Line 376:
Badness (Sintel): 0.944
Badness (Sintel): 0.944


==== 17-limit ====
=== 17-limit ===
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


Comma list: 126/125, 144/143, 176/175, 221/220, 256/255
Comma list: 126/125, 144/143, 176/175, 221/220, 256/255


Mapping: {{mapping| 1 -4 0 7 3 -7 12 | 0 12 5 -9 1 23 -17 }}
{{Mapping|legend=0| 1 -4 0 7 3 -7 12 | 0 12 5 -9 1 23 -17 }}


Optimal tunings:  
Optimal tunings:  
Line 391: Line 391:
Badness (Sintel): 1.14
Badness (Sintel): 1.14


==== 19-limit ====
=== 19-limit ===
Subgroup: 2.3.5.7.11.13.17.19
Subgroup: 2.3.5.7.11.13.17.19


Comma list: 96/95, 126/125, 144/143, 153/152, 176/175, 221/220
Comma list: 96/95, 126/125, 144/143, 153/152, 176/175, 221/220


Mapping: {{mapping| 1 -4 0 7 3 -7 12 1 | 0 12 5 -9 1 23 -17 7 }}
{{Mapping|legend=0| 1 -4 0 7 3 -7 12 1 | 0 12 5 -9 1 23 -17 7 }}


Optimal tunings:  
Optimal tunings:  
Line 406: Line 406:
Badness (Sintel): 1.15
Badness (Sintel): 1.15


==== 23-limit ====
=== 23-limit ===
Subgroup: 2.3.5.7.11.13.17.19.23
Subgroup: 2.3.5.7.11.13.17.19.23


Comma list: 96/95, 126/125, 144/143, 153/152, 176/175, 221/220, 231/230
Comma list: 96/95, 126/125, 144/143, 153/152, 176/175, 221/220, 231/230


Mapping: {{mapping| 1 -4 0 7 3 -7 12 1 5 | 0 12 5 -9 1 23 -17 7 -1 }}
{{Mapping|legend=0| 1 -4 0 7 3 -7 12 1 5 | 0 12 5 -9 1 23 -17 7 -1 }}


Optimal tunings:  
Optimal tunings:  
Line 421: Line 421:
Badness (Sintel): 1.19
Badness (Sintel): 1.19


==== 29-limit ====
=== 29-limit ===
Subgroup: 2.3.5.7.11.13.17.19.23.29
Subgroup: 2.3.5.7.11.13.17.19.23.29


Comma list: 96/95, 116/115, 126/125, 144/143, 153/152, 176/175, 221/220, 231/230
Comma list: 96/95, 116/115, 126/125, 144/143, 153/152, 176/175, 221/220, 231/230


Mapping: {{mapping| 1 -4 0 7 3 -7 12 1 5 3 | 0 12 5 -9 1 23 -17 7 -1 4 }}
{{Mapping|legend=0| 1 -4 0 7 3 -7 12 1 5 3 | 0 12 5 -9 1 23 -17 7 -1 4 }}


Optimal tunings:  
Optimal tunings:  
Line 435: Line 435:


Badness (Sintel): 1.15
Badness (Sintel): 1.15
=== Antemka ===
This temperament has the opposite mappings of 5 and 13 to [[emka]].
Comma list: 105/104, 126/125, 66/65, 1024/1001
Edo join: 15 & 28
Mapping: {{mapping| 1 8 5 -2 4 8|0 -12 -5 9 -1 -8}}
Optimal tuning (CWE): ~2 = 1200.0000{{c}}, ~16/11 = 641.492{{c}}


== Subsedia ==
== Subsedia ==
Line 472: Line 461:
Comma list: 540/539, 1375/1372, 65536/64827
Comma list: 540/539, 1375/1372, 65536/64827


Mapping: {{mapping| 1 0 5 4 -1 | 0 16 -27 -12 45 }}
{{Mapping|legend=0| 1 0 5 4 -1 | 0 16 -27 -12 45 }}


Optimal tunings:  
Optimal tunings:  
Line 487: Line 476:
Comma list: 352/351, 540/539, 676/675, 1375/1372
Comma list: 352/351, 540/539, 676/675, 1375/1372


Mapping: {{mapping| 1 0 5 4 -1 4 | 0 16 -27 -12 45 -3 }}
{{Mapping|legend=0| 1 0 5 4 -1 4 | 0 16 -27 -12 45 -3 }}


Optimal tunings:  
Optimal tunings:  
Line 502: Line 491:
Comma list: 256/255, 352/351, 442/441, 540/539, 715/714
Comma list: 256/255, 352/351, 442/441, 540/539, 715/714


Mapping: {{mapping| 1 0 5 4 -1 4 3 | 0 16 -27 -12 45 -3 11 }}
{{Mapping|legend=0| 1 0 5 4 -1 4 3 | 0 16 -27 -12 45 -3 11 }}


Optimal tunings:  
Optimal tunings:  
Line 517: Line 506:
Comma list: 256/255, 352/351, 400/399, 442/441, 456/455, 715/714
Comma list: 256/255, 352/351, 400/399, 442/441, 456/455, 715/714


Mapping: {{mapping| 1 0 5 4 -1 4 3 10 | 0 16 -27 -12 45 -3 11 -58 }}
{{Mapping|legend=0| 1 0 5 4 -1 4 3 10 | 0 16 -27 -12 45 -3 11 -58 }}


Optimal tunings:  
Optimal tunings:  
Line 549: Line 538:
[[Badness]] (Sintel): 4.57
[[Badness]] (Sintel): 4.57


[[Category:Buzzardsmic clan| ]] <!-- main article -->
[[Category:Temperament clans]]
[[Category:Temperament clans]]
[[Category:Buzzardsmic clan| ]] <!-- main article -->
[[Category:Catalogs of rank-2 temperaments]]
[[Category:Rank 2]]
[[Category:Listen]]
Retrieved from "https://en.xen.wiki/w/Buzzardsmic_clan"