Orwellismic temperaments: Difference between revisions
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Temperaments discussed elsewhere are: | Temperaments discussed elsewhere are: | ||
* [[Superpyth]] (+64/63) → [[Archytas clan #Superpyth|Archytas clan]] | |||
* [[Beep]] (+21/20 or 27/25) → [[Bug family #Beep|Bug family]] | * [[Beep]] (+21/20 or 27/25) → [[Bug family #Beep|Bug family]] | ||
* [[Mothra]] (+81/80) → [[Meantone family #Mothra|Meantone family]] | |||
* [[Buzzard]] (+5120/5103) → [[Buzzardsmic clan #Buzzard|Buzzardsmic clan]] | |||
* ''[[Secund]]'' (+405/392 or 525/512) → [[Greenwoodmic temperaments #Secund|Greenwoodmic temperaments]] | |||
* ''[[Echidna]]'' (+2048/2025) → [[Stearnsmic clan #Echidna|Stearnsmic clan]] | |||
* [[Orwell]] (+225/224) → [[Semicomma family #Orwell|Semicomma family]] | |||
* ''[[Doublewide]]'' (+50/49) → [[Jubilismic clan #Doublewide|Jubilismic clan]] | * ''[[Doublewide]]'' (+50/49) → [[Jubilismic clan #Doublewide|Jubilismic clan]] | ||
* [[Myna]] (+126/125) → [[Starling temperaments #Myna|Starling temperaments]] | * [[Myna]] (+126/125) → [[Starling temperaments #Myna|Starling temperaments]] | ||
* ''[[Quartonic]]'' (+4000/3969) → [[Quartonic family]] | * ''[[Quartonic]]'' (+4000/3969) → [[Quartonic family]] | ||
* ''[[Trisensory]]'' (+78732/78125) → [[Sensipent family #Trisensory|Sensipent family]] | * ''[[Trisensory]]'' (+78732/78125) → [[Sensipent family #Trisensory|Sensipent family]] | ||
* ''[[Trimabila]]'' (+268435456/263671875) → [[Mabila family #Trimabila|Mabila family]] | * ''[[Trimabila]]'' (+268435456/263671875) → [[Mabila family #Trimabila|Mabila family]] | ||
Considered below are sentinel, secant, diesic, infraorwell, pentaorwell, triskaidekic, and philips. | Considered below are sentinel, secant, diesic, infraorwell, pentaorwell, triskaidekic, and philips, in the order of increasing [[badness]]. | ||
== Sentinel == | == Sentinel == | ||
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Comma list: 99/98, 243/242, 385/384 | Comma list: 99/98, 243/242, 385/384 | ||
{{Mapping|legend=0| 1 -1 12 -3 -3 | 0 4 -15 9 10 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 61: | Line 62: | ||
Comma list: 99/98, 105/104, 144/143, 243/242 | Comma list: 99/98, 105/104, 144/143, 243/242 | ||
{{Mapping|legend=0| 1 -1 12 -3 -3 5 | 0 4 -15 9 10 -2 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 96: | Line 97: | ||
Comma list: 441/440, 1344/1331, 1728/1715 | Comma list: 441/440, 1344/1331, 1728/1715 | ||
{{Mapping|legend=0| 2 1 0 5 6 | 0 7 15 2 3 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 111: | Line 112: | ||
Comma list: 144/143, 351/350, 364/363, 441/440 | Comma list: 144/143, 351/350, 364/363, 441/440 | ||
{{Mapping|legend=0| 2 1 0 5 6 4 | 0 7 15 2 3 11 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 126: | Line 127: | ||
Comma list: 144/143, 170/169, 221/220, 351/350, 441/440 | Comma list: 144/143, 170/169, 221/220, 351/350, 441/440 | ||
{{Mapping|legend=0| 2 1 0 5 6 4 6 | 0 7 15 2 3 11 7 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 141: | Line 142: | ||
Comma list: 144/143, 153/152, 170/169, 210/209, 221/220, 400/399 | Comma list: 144/143, 153/152, 170/169, 210/209, 221/220, 400/399 | ||
{{Mapping|legend=0| 2 1 0 5 6 4 6 2 | 0 7 15 2 3 11 7 21 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 178: | Line 179: | ||
Comma list: 121/120, 441/440, 891/875 | Comma list: 121/120, 441/440, 891/875 | ||
{{Mapping|legend=0| 1 2 3 3 4 | 0 -13 -21 -6 -17 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 193: | Line 194: | ||
Comma list: 66/65, 121/120, 343/338, 441/440 | Comma list: 66/65, 121/120, 343/338, 441/440 | ||
{{Mapping|legend=0| 1 2 3 3 4 4 | 0 -13 -21 -6 -17 -9 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 228: | Line 229: | ||
Comma list: 176/175, 540/539, 1344/1331 | Comma list: 176/175, 540/539, 1344/1331 | ||
{{Mapping|legend=0| 1 -2 3 -1 1 | 0 16 -3 17 11 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 243: | Line 244: | ||
Comma list: 144/143, 176/175, 196/195, 364/363 | Comma list: 144/143, 176/175, 196/195, 364/363 | ||
{{Mapping|legend=0| 1 -2 3 -1 1 -1 | 0 16 -3 17 11 21 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 279: | Line 280: | ||
Comma list: 896/891, 1728/1715, 2200/2187 | Comma list: 896/891, 1728/1715, 2200/2187 | ||
{{Mapping|legend=0| 5 0 -36 22 57 | 0 1 6 -1 -5 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 294: | Line 295: | ||
Comma list: 325/324, 352/351, 364/363, 1728/1715 | Comma list: 325/324, 352/351, 364/363, 1728/1715 | ||
{{Mapping|legend=0| 5 0 -36 22 57 82 | 0 1 6 -1 -5 -8 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 329: | Line 330: | ||
Comma list: 99/98, 125/121, 385/384 | Comma list: 99/98, 125/121, 385/384 | ||
{{Mapping|legend=0| 13 0 30 16 45 | 0 1 0 1 0 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 344: | Line 345: | ||
Comma list: 78/77, 99/98, 125/121, 1200/1183 | Comma list: 78/77, 99/98, 125/121, 1200/1183 | ||
{{Mapping|legend=0| 13 0 30 16 45 48 | 0 1 0 1 0 0 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 379: | Line 380: | ||
Comma list: 99/98, 385/384, 729/704 | Comma list: 99/98, 385/384, 729/704 | ||
{{Mapping|legend=0| 2 0 33 -7 -12 | 0 1 -9 4 6 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 389: | Line 390: | ||
Badness (Sintel): 3.17 | Badness (Sintel): 3.17 | ||
[[Category:Orwellismic temperaments| ]] <!-- main article --> | [[Category:Orwellismic temperaments| ]] <!-- main article --> | ||
[[Category:Orwellismic| ]] <!-- key article --> | [[Category:Orwellismic| ]] <!-- key article --> | ||
[[Category: | [[Category:Temperament collections]] | ||
[[Category:Catalogs of rank-2 temperaments]] | |||