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Quartonic family: Difference between revisions

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Switch to Sintel's badness, WE & CWE tunings (2/2)
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Line 56: Line 56:
Comma list: 176/175, 540/539, 2200/2187
Comma list: 176/175, 540/539, 2200/2187


Mapping: {{mapping| 1 2 3 3 5 | 0 -11 -18 -5 -41 }}
{{Mapping|legend=0| 1 2 3 3 5 | 0 -11 -18 -5 -41 }}


Optimal tunings:  
Optimal tunings:  
Line 71: Line 71:
Comma list: 169/168, 176/175, 325/324, 540/539
Comma list: 169/168, 176/175, 325/324, 540/539


Mapping: {{mapping| 1 2 3 3 5 4 | 0 -11 -18 -5 -41 -8 }}
{{Mapping|legend=0| 1 2 3 3 5 4 | 0 -11 -18 -5 -41 -8 }}


Optimal tunings:  
Optimal tunings:  
Line 86: Line 86:
Comma list: 100/99, 245/242, 864/847
Comma list: 100/99, 245/242, 864/847


Mapping: {{mapping| 1 2 3 3 4 | 0 -11 -18 -5 -14 }}
{{Mapping|legend=0| 1 2 3 3 4 | 0 -11 -18 -5 -14 }}


Optimal tunings:  
Optimal tunings:  
Line 101: Line 101:
Comma list: 78/77, 100/99, 144/143, 245/242
Comma list: 78/77, 100/99, 144/143, 245/242


Mapping: {{mapping| 1 2 3 3 4 4 | 0 -11 -18 -5 -14 -8 }}
{{Mapping|legend=0| 1 2 3 3 4 4 | 0 -11 -18 -5 -14 -8 }}


Optimal tunings:  
Optimal tunings:  
Line 116: Line 116:
Comma list: 99/98, 385/384, 4000/3969
Comma list: 99/98, 385/384, 4000/3969


Mapping: {{mapping| 1 2 3 3 3 | 0 -11 -18 -5 12 }}
{{Mapping|legend=0| 1 2 3 3 3 | 0 -11 -18 -5 12 }}


Optimal tunings:  
Optimal tunings:  
Line 131: Line 131:
Comma list: 99/98, 169/168, 275/273, 385/384
Comma list: 99/98, 169/168, 275/273, 385/384


Mapping: {{mapping| 1 2 3 3 3 4 | 0 -11 -18 -5 12 -8 }}
{{Mapping|legend=0| 1 2 3 3 3 4 | 0 -11 -18 -5 12 -8 }}


Optimal tunings:  
Optimal tunings:  
Line 146: Line 146:
Comma list: 1728/1715, 2420/2401, 2560/2541
Comma list: 1728/1715, 2420/2401, 2560/2541


Mapping: {{mapping| 2 4 6 6 7 | 0 -11 -18 -5 -1 }}
{{Mapping|legend=0| 2 4 6 6 7 | 0 -11 -18 -5 -1 }}
: mapping generators: ~99/70, ~36/35
: mapping generators: ~99/70, ~36/35


Line 162: Line 162:
Comma list: 169/168, 325/324, 364/363, 640/637
Comma list: 169/168, 325/324, 364/363, 640/637


Mapping: {{mapping| 2 4 6 6 7 8 | 0 -11 -18 -5 -1 -8 }}
{{Mapping|legend=0| 2 4 6 6 7 8 | 0 -11 -18 -5 -1 -8 }}


Optimal tunings:  
Optimal tunings:  
Line 177: Line 177:
Comma list: 169/168, 221/220, 289/288, 325/324, 544/539
Comma list: 169/168, 221/220, 289/288, 325/324, 544/539


Mapping: {{mapping| 2 4 6 6 7 8 9 | 0 -11 -18 -5 -1 -8 -11 }}
{{Mapping|legend=0| 2 4 6 6 7 8 9 | 0 -11 -18 -5 -1 -8 -11 }}


Optimal tunings:  
Optimal tunings:  
Line 192: Line 192:
Comma list: 169/168, 221/220, 289/288, 325/324, 544/539, 400/399
Comma list: 169/168, 221/220, 289/288, 325/324, 544/539, 400/399


Mapping: {{mapping| 2 4 6 6 7 8 9 10 | 0 -11 -18 -5 -1 -8 -11 -20 }}
{{Mapping|legend=0| 2 4 6 6 7 8 9 10 | 0 -11 -18 -5 -1 -8 -11 -20 }}


Optimal tunings:  
Optimal tunings:  
Line 207: Line 207:
Comma list: 1331/1323, 1728/1715, 4000/3969
Comma list: 1331/1323, 1728/1715, 4000/3969


Mapping: {{mapping| 1 2 3 3 4 | 0 -33 -54 -15 -43 }}
{{Mapping|legend=0| 1 2 3 3 4 | 0 -33 -54 -15 -43 }}


Optimal tunings:  
Optimal tunings:  
Line 222: Line 222:
Comma list: 169/168, 325/324, 640/637, 1331/1323
Comma list: 169/168, 325/324, 640/637, 1331/1323


Mapping: {{mapping| 1 2 3 3 4 4 | 0 -33 -54 -15 -43 -24 }}
{{Mapping|legend=0| 1 2 3 3 4 4 | 0 -33 -54 -15 -43 -24 }}


Optimal tunings:  
Optimal tunings:  
Line 237: Line 237:
Comma list: 169/168, 325/324, 561/560, 640/637, 850/847
Comma list: 169/168, 325/324, 561/560, 640/637, 850/847


Mapping: {{mapping| 1 2 3 3 4 4 4 | 0 -33 -54 -15 -43 -24 7 }}
{{Mapping|legend=0| 1 2 3 3 4 4 4 | 0 -33 -54 -15 -43 -24 7 }}


Optimal tunings:  
Optimal tunings:  
Line 272: Line 272:
Comma list: 3025/3024, 4000/3993, 10976/10935
Comma list: 3025/3024, 4000/3993, 10976/10935


Mapping: {{mapping| 1 2 3 4 4 | 0 -33 -54 -95 -43 }}
{{Mapping|legend=0| 1 2 3 4 4 | 0 -33 -54 -95 -43 }}


Optimal tunings:  
Optimal tunings:  
Line 287: Line 287:
Comma list: 325/324, 364/363, 1001/1000, 10976/10935
Comma list: 325/324, 364/363, 1001/1000, 10976/10935


Mapping: {{mapping| 1 2 3 4 4 4 | 0 -33 -54 -95 -43 -24 }}
{{Mapping|legend=0| 1 2 3 4 4 4 | 0 -33 -54 -95 -43 -24 }}


Optimal tunings:  
Optimal tunings:  
Line 302: Line 302:
Comma list: 325/324, 364/363, 595/594, 1001/1000, 10976/10935
Comma list: 325/324, 364/363, 595/594, 1001/1000, 10976/10935


Mapping: {{mapping| 1 2 3 4 4 4 4 | 0 -33 -54 -95 -43 -24 7 }}
{{Mapping|legend=0| 1 2 3 4 4 4 4 | 0 -33 -54 -95 -43 -24 7 }}


Optimal tunings:  
Optimal tunings:  
Line 317: Line 317:
Comma list: 325/324, 361/360, 364/363, 595/594, 969/968, 1001/1000
Comma list: 325/324, 361/360, 364/363, 595/594, 969/968, 1001/1000


Mapping: {{mapping| 1 2 3 4 4 4 4 5 | 0 -33 -54 -95 -43 -24 7 -60 }}
{{Mapping|legend=0| 1 2 3 4 4 4 4 5 | 0 -33 -54 -95 -43 -24 7 -60 }}


Optimal tunings:  
Optimal tunings:  
Line 332: Line 332:
Comma list: 325/324, 361/360, 364/363, 460/459, 507/506, 529/528, 760/759
Comma list: 325/324, 361/360, 364/363, 460/459, 507/506, 529/528, 760/759


Mapping: {{mapping| 1 2 3 4 4 4 4 5 5 | 0 -33 -54 -95 -43 -24 7 -60 -38 }}
{{Mapping|legend=0| 1 2 3 4 4 4 4 5 5 | 0 -33 -54 -95 -43 -24 7 -60 -38 }}


Optimal tunings:  
Optimal tunings:  
Line 347: Line 347:
Comma list: 325/324, 361/360, 364/363, 406/405, 460/459, 494/493, 507/506, 529/528
Comma list: 325/324, 361/360, 364/363, 406/405, 460/459, 494/493, 507/506, 529/528


Mapping: {{mapping| 1 2 3 4 4 4 4 5 5 6 | 0 -33 -54 -95 -43 -24 7 -60 -38 -91 }}
{{Mapping|legend=0| 1 2 3 4 4 4 4 5 5 6 | 0 -33 -54 -95 -43 -24 7 -60 -38 -91 }}


Optimal tunings:  
Optimal tunings:  
Line 382: Line 382:
Comma list: 385/384, 4000/3993, 78121827/77948684
Comma list: 385/384, 4000/3993, 78121827/77948684


Mapping: {{mapping| 1 2 3 2 4 | 0 -33 -54 64 -43 }}
{{Mapping|legend=0| 1 2 3 2 4 | 0 -33 -54 64 -43 }}


Optimal tunings:  
Optimal tunings:  
Line 397: Line 397:
Comma list: 325/324, 385/384, 1575/1573, 85683/85184
Comma list: 325/324, 385/384, 1575/1573, 85683/85184


Mapping: {{mapping| 1 2 3 2 4 4 | 0 -33 -54 64 -43 -24 }}
{{Mapping|legend=0| 1 2 3 2 4 4 | 0 -33 -54 64 -43 -24 }}


Optimal tunings:  
Optimal tunings:  
Line 412: Line 412:
Comma list: 273/272, 325/324, 385/384, 1575/1573, 4928/4913
Comma list: 273/272, 325/324, 385/384, 1575/1573, 4928/4913


Mapping: {{mapping| 1 2 3 2 4 4 4 | 0 -33 -54 64 -43 -24 7 }}
{{Mapping|legend=0| 1 2 3 2 4 4 4 | 0 -33 -54 64 -43 -24 7 }}


Optimal tunings:  
Optimal tunings:  
Line 481: Line 481:
Comma list: 1375/1372, 6250/6237, 14641/14580
Comma list: 1375/1372, 6250/6237, 14641/14580


Mapping: {{mapping| 4 8 12 15 17 | 0 -11 -18 -25 -21 }}
{{Mapping|legend=0| 4 8 12 15 17 | 0 -11 -18 -25 -21 }}


Optimal tunings:  
Optimal tunings:  
Line 496: Line 496:
Comma list: 325/324, 1001/1000, 1375/1372, 10648/10647
Comma list: 325/324, 1001/1000, 1375/1372, 10648/10647


Mapping: {{mapping| 4 8 12 15 17 16 | 0 -11 -18 -25 -21 -8 }}
{{Mapping|legend=0| 4 8 12 15 17 16 | 0 -11 -18 -25 -21 -8 }}


Optimal tunings:  
Optimal tunings:  
Line 511: Line 511:
Comma list: 289/288, 325/324, 561/560, 1001/1000, 10648/10647
Comma list: 289/288, 325/324, 561/560, 1001/1000, 10648/10647


Mapping: {{mapping| 4 8 12 15 17 16 18 | 0 -11 -18 -25 -21 -8 -11 }}
{{Mapping|legend=0| 4 8 12 15 17 16 18 | 0 -11 -18 -25 -21 -8 -11 }}


Optimal tunings:  
Optimal tunings:  
Line 526: Line 526:
Comma list: 289/288, 325/324, 361/360, 561/560, 1001/1000, 1331/1330
Comma list: 289/288, 325/324, 361/360, 561/560, 1001/1000, 1331/1330


Mapping: {{mapping| 4 8 12 15 17 16 18 20 | 0 -11 -18 -25 -21 -8 -11 20 }}
{{Mapping|legend=0| 4 8 12 15 17 16 18 20 | 0 -11 -18 -25 -21 -8 -11 20 }}


Optimal tunings:  
Optimal tunings:  
Line 559: Line 559:
Comma list: 540/539, 1375/1372, 390625000/387420489
Comma list: 540/539, 1375/1372, 390625000/387420489


Mapping: {{mapping| 5 10 15 18 19 | 0 -11 -18 -21 -9 }}
{{Mapping|legend=0| 5 10 15 18 19 | 0 -11 -18 -21 -9 }}


Optimal tunings:  
Optimal tunings:  
Line 569: Line 569:
Badness (Sintel): 3.42
Badness (Sintel): 3.42


[[Category:Quartonic family| ]] <!-- main article -->
[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Quartonic family| ]] <!-- main article -->
[[Category:Catalogs of rank-2 temperaments]]
[[Category:Rank 2]]
Retrieved from "https://en.xen.wiki/w/Quartonic_family"