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Amity family: Difference between revisions

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The '''amity family''' tempers out the 5-limit [[amity comma]], 1600000/1594323. The generator for the [[amity]] temperament is the acute minor third, which means the 6/5 just minor third raised by an 81/80 comma to 243/200, and from this it derives its name. If you are looking for a different kind of neutral third this could be the temperament for you.
{{Technical data page}}
The '''amity family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] the [[amity comma]] ({{monzo|legend=1| 9 -13 15 }}, [[ratio]]: 1600000/1594323).  


== Amity ==
== Amity ==
{{Main| Amity }}
{{Main| Amity }}


In the 5-limit amity is a genuine [[microtemperament]], with 58\205 being a possible tuning. Another good choice is (64/5)<sup>1/13</sup>, which gives a pure classical major third. [[Mos scale]]s of 11, 18, 25, 32, 39, 46 or 53 notes are available.  
The [[generator]] for the amity temperament is the acute minor third, which means the [[6/5]] just minor third raised by a [[81/80|syntonic comma]] comma to [[243/200]], and from this it derives its name. If you are looking for a different kind of neutral third, this could be the temperament for you. Its [[ploidacot]] is gamma-pentacot. It is a member of the [[syntonic–chromatic equivalence continuum]] with {{nowrap| ''n'' {{=}} 5 }}, so it equates an apotome with a stack of five syntonic commas. It is also in the [[schismic–Mercator equivalence continuum]] with {{nowrap| ''n'' {{=}} 5 }}, so unless 53edo is used as a tuning, the schisma is always observed.
 
Amity is a genuine [[microtemperament]] in the 5-limit, with 58\205 being a possible tuning. Another good choice is (64/5)<sup>1/13</sup>, which gives a pure classical major third. [[Mos scale]]s of 11, 18, 25, 32, 39, 46 or 53 notes are available.  


[[Subgroup]]: 2.3.5
[[Subgroup]]: 2.3.5
Line 14: Line 17:
: mapping generators: ~2, ~243/200
: mapping generators: ~2, ~243/200


[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~243/200 = 339.537
[[Optimal tuning]]s:
 
* [[CTE]]: ~2 = 1\1, ~243/200 = 339.537
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~243/200 = 339.519
* [[POTE]]: ~2 = 1\1, ~243/200 = 339.519


{{Optimal ET sequence|legend=1| 7, 32c, 39, 46, 53, 152, 205, 258, 1085, 1343, 1601, 1859b, 2117bc }}
{{Optimal ET sequence|legend=1| 7, 32c, 39, 46, 53, 152, 205, 258, 1085, 1343, 1601, 1859b, 2117bc }}
Line 42: Line 45:
{{Mapping|legend=1| 1 3 6 -2 | 0 -5 -13 17 }}
{{Mapping|legend=1| 1 3 6 -2 | 0 -5 -13 17 }}


{{Multival|legend=1| 5 13 -17 9 -41 -76 }}
Optimal tunings:
 
* CTE: ~2 = 1\1, ~128/105 = 339.446
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~128/105 = 339.446
* POTE: ~2 = 1\1, ~128/105 = 339.432
 
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~128/105 = 339.432


{{Optimal ET sequence|legend=1| 7, 32cd, 39, 46, 53, 99, 152, 251, 905bcdd }}
{{Optimal ET sequence|legend=1| 7, 32cd, 39, 46, 53, 99, 152, 251, 905bcdd }}
Line 59: Line 60:
Mapping: {{mapping| 1 3 6 -2 21 | 0 -5 -13 17 -62 }}
Mapping: {{mapping| 1 3 6 -2 21 | 0 -5 -13 17 -62 }}


Optimal tuning (CTE): ~2 = 1\1, ~128/105 = 339.485
Optimal tunings:
 
* CTE: ~2 = 1\1, ~128/105 = 339.485
Optimal tuning (POTE): ~2 = 1\1, ~128/105 = 339.464
* POTE: ~2 = 1\1, ~128/105 = 339.464


Optimal ET sequence: {{Optimal ET sequence| 46e, 53, 99e, 152, 357d, 509dd, 661dd }}
Optimal ET sequence: {{Optimal ET sequence| 46e, 53, 99e, 152, 357d, 509dd, 661dd }}
Line 74: Line 75:
Mapping: {{mapping| 1 3 6 -2 21 17 | 0 -5 -13 17 -62 -47 }}
Mapping: {{mapping| 1 3 6 -2 21 17 | 0 -5 -13 17 -62 -47 }}


Optimal tuning (CTE): ~2 = 1\1, ~128/105 = 339.508
Optimal tunings:
 
* CTE: ~2 = 1\1, ~128/105 = 339.508
Optimal tuning (POTE): ~2 = 1\1, ~128/105 = 339.481
* POTE: ~2 = 1\1, ~128/105 = 339.481


Optimal ET sequence: {{Optimal ET sequence| 46ef, 53, 99ef, 152f, 205 }}
Optimal ET sequence: {{Optimal ET sequence| 46ef, 53, 99ef, 152f, 205 }}
Line 115: Line 116:
Mapping: {{mapping| 1 3 6 -2 6 | 0 -5 -13 17 -9 }}
Mapping: {{mapping| 1 3 6 -2 6 | 0 -5 -13 17 -9 }}


Optimal tuning (CTE): ~2 = 1\1, ~11/9 = 339.390
Optimal tunings:
 
* CTE: ~2 = 1\1, ~11/9 = 339.390
Optimal tuning (POTE): ~2 = 1\1, ~11/9 = 339.390
* POTE: ~2 = 1\1, ~11/9 = 339.390


Optimal ET sequence: {{Optimal ET sequence| 7, 25cdde, 32cd, 39, 46, 53, 99 }}
Optimal ET sequence: {{Optimal ET sequence| 7, 25cdde, 32cd, 39, 46, 53, 99 }}
Line 130: Line 131:
Mapping: {{mapping| 1 3 6 -2 6 2 | 0 -5 -13 17 -9 6 }}
Mapping: {{mapping| 1 3 6 -2 6 2 | 0 -5 -13 17 -9 6 }}


Optimal tuning (CTE): ~2 = 1\1, ~11/9 = 339.411
Optimal tunings:
 
* CTE: ~2 = 1\1, ~11/9 = 339.411
Optimal tuning (POTE): ~2 = 1\1, ~11/9 = 339.419
* POTE: ~2 = 1\1, ~11/9 = 339.419


Optimal ET sequence: {{Optimal ET sequence| 7, 25cddef, 32cd, 39, 46, 53, 99 }}
Optimal ET sequence: {{Optimal ET sequence| 7, 25cddef, 32cd, 39, 46, 53, 99 }}
Line 145: Line 146:
Mapping: {{mapping| 1 3 6 -2 6 2 -1 | 0 -5 -13 17 -9 6 18 }}
Mapping: {{mapping| 1 3 6 -2 6 2 -1 | 0 -5 -13 17 -9 6 18 }}


Optimal tuning (CTE): ~2 = 1\1, ~11/9 = 339.366
Optimal tunings:
 
* CTE: ~2 = 1\1, ~11/9 = 339.366
Optimal tuning (POTE): ~2 = 1\1, ~11/9 = 339.366
* POTE: ~2 = 1\1, ~11/9 = 339.366


Optimal ET sequence: {{Optimal ET sequence| 7, 25cddefgg, 32cdg, 39, 46, 99 }}
Optimal ET sequence: {{Optimal ET sequence| 7, 25cddefgg, 32cdg, 39, 46, 99 }}
Line 160: Line 161:
Mapping: {{mapping| 1 3 6 -2 6 2 -1 0 | 0 -5 -13 17 -9 6 18 15 }}
Mapping: {{mapping| 1 3 6 -2 6 2 -1 0 | 0 -5 -13 17 -9 6 18 15 }}


Optimal tuning (CTE): ~2 = 1\1, ~11/9 = 339.415
Optimal tunings:
 
* CTE: ~2 = 1\1, ~11/9 = 339.415
Optimal tuning (POTE): ~2 = 1\1, ~11/9 = 339.407
* POTE: ~2 = 1\1, ~11/9 = 339.407


Optimal ET sequence: {{Optimal ET sequence| 7, 25cddefgghh, 32cdgh, 39h, 46, 53, 99h }}
Optimal ET sequence: {{Optimal ET sequence| 7, 25cddefgghh, 32cdgh, 39h, 46, 53, 99h }}
Line 177: Line 178:
Mapping: {{mapping| 1 3 6 -2 -7 | 0 -5 -13 17 37 }}
Mapping: {{mapping| 1 3 6 -2 -7 | 0 -5 -13 17 37 }}


Optimal tuning (CTE): ~2 = 1\1, ~128/105 = 339.314
Optimal tunings:
 
* CTE: ~2 = 1\1, ~128/105 = 339.314
Optimal tuning (POTE): ~2 = 1\1, ~128/105 = 339.340
* POTE: ~2 = 1\1, ~128/105 = 339.340


Optimal ET sequence: {{Optimal ET sequence| 46, 99e, 145 }}
Optimal ET sequence: {{Optimal ET sequence| 46, 99e, 145 }}
Line 192: Line 193:
Mapping: {{mapping| 1 3 6 -2 -7 -11 | 0 -5 -13 17 37 52 }}
Mapping: {{mapping| 1 3 6 -2 -7 -11 | 0 -5 -13 17 37 52 }}


Optimal tuning (CTE): ~2 = 1\1, ~128/105 = 339.277
Optimal tunings:
 
* CTE: ~2 = 1\1, ~128/105 = 339.277
Optimal tuning (POTE): ~2 = 1\1, ~128/105 = 339.313
* POTE: ~2 = 1\1, ~128/105 = 339.313


Optimal ET sequence: {{Optimal ET sequence| 46, 99ef, 145, 191c, 336cef, 527bccef }}
Optimal ET sequence: {{Optimal ET sequence| 46, 99ef, 145, 191c, 336cef, 527bccef }}
Line 207: Line 208:
Mapping: {{mapping| 1 3 6 -2 -7 -11 -1 | 0 -5 -13 17 37 52 18 }}
Mapping: {{mapping| 1 3 6 -2 -7 -11 -1 | 0 -5 -13 17 37 52 18 }}


Optimal tuning (CTE): ~2 = 1\1, ~17/14 = 339.272
Optimal tunings:
 
* CTE: ~2 = 1\1, ~17/14 = 339.272
Optimal tuning (POTE): ~2 = 1\1, ~17/14 = 339.313
* POTE: ~2 = 1\1, ~17/14 = 339.313


Optimal ET sequence: {{Optimal ET sequence| 46, 99ef, 145, 191c }}
Optimal ET sequence: {{Optimal ET sequence| 46, 99ef, 145, 191c }}
Line 222: Line 223:
Mapping: {{mapping| 1 3 6 -2 -7 -11 -1 -13 | 0 -5 -13 17 37 52 18 61 }}
Mapping: {{mapping| 1 3 6 -2 -7 -11 -1 -13 | 0 -5 -13 17 37 52 18 61 }}


Optimal tuning (CTE): ~2 = 1\1, ~17/14 = 339.282
Optimal tunings:
 
* CTE: ~2 = 1\1, ~17/14 = 339.282
Optimal tuning (POTE): ~2 = 1\1, ~17/14 = 339.325
* POTE: ~2 = 1\1, ~17/14 = 339.325


Optimal ET sequence: {{Optimal ET sequence| 46, 99ef, 145, 191c, 336cefg }}
Optimal ET sequence: {{Optimal ET sequence| 46, 99ef, 145, 191c, 336cefg }}
Line 239: Line 240:
: mapping generators: ~99/70, ~64/55
: mapping generators: ~99/70, ~64/55


Optimal tuning (CTE): ~99/70 = 1\2, ~64/55 = 260.566
Optimal tunings:
 
* CTE: ~99/70 = 1\2, ~64/55 = 260.566
Optimal tuning (POTE): ~99/70 = 1\2, ~64/55 = 260.561
* POTE: ~99/70 = 1\2, ~64/55 = 260.561


Optimal ET sequence: {{Optimal ET sequence| 14cde, 32cde, 46, 106, 152, 350 }}
Optimal ET sequence: {{Optimal ET sequence| 14cde, 32cde, 46, 106, 152, 350 }}
Line 254: Line 255:
Mapping: {{mapping| 2 1 -1 13 13 20 | 0 5 13 -17 -14 -29 }}
Mapping: {{mapping| 2 1 -1 13 13 20 | 0 5 13 -17 -14 -29 }}


Optimal tuning (CTE): ~99/70 = 1\2, ~64/55 = 260.607
Optimal tunings:
 
* CTE: ~99/70 = 1\2, ~64/55 = 260.607
Optimal tuning (POTE): ~99/70 = 1\2, ~64/55 = 260.583
* POTE: ~99/70 = 1\2, ~64/55 = 260.583


Optimal ET sequence: {{Optimal ET sequence| 46, 106f, 152f, 198 }}
Optimal ET sequence: {{Optimal ET sequence| 46, 106f, 152f, 198 }}
Line 269: Line 270:
{{Mapping|legend=1| 1 3 6 11 | 0 -5 -13 -29 }}
{{Mapping|legend=1| 1 3 6 11 | 0 -5 -13 -29 }}


{{Multival|legend=1| 5 13 29 9 32 31 }}
Optimal tunings:
 
* CTE: ~2 = 1\1, ~243/200 = 339.154
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~243/200 = 339.154
* POTE: ~2 = 1\1, ~243/200 = 338.993
 
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~243/200 = 338.993


{{Optimal ET sequence|legend=1| 7d, 25cddd, 32cdd, 39d, 46 }}
{{Optimal ET sequence|legend=1| 7d, 25cddd, 32cdd, 39d, 46 }}
Line 286: Line 285:
Mapping: {{mapping| 1 3 6 11 6 | 0 -5 -13 -29 -9 }}
Mapping: {{mapping| 1 3 6 11 6 | 0 -5 -13 -29 -9 }}


Optimal tuning (CTE): ~2 = 1\1, ~11/9 = 339.136
Optimal tunings:
 
* CTE: ~2 = 1\1, ~11/9 = 339.136
Optimal tuning (POTE): ~2 = 1\1, ~11/9 = 339.047
* POTE: ~2 = 1\1, ~11/9 = 339.047


Optimal ET sequence: {{Optimal ET sequence| 7d, 25cddde, 32cdd, 39d, 46 }}
Optimal ET sequence: {{Optimal ET sequence| 7d, 25cddde, 32cdd, 39d, 46 }}
Line 303: Line 302:
{{Mapping|legend=1| 1 3 6 13 | 0 -5 -13 -36 }}
{{Mapping|legend=1| 1 3 6 13 | 0 -5 -13 -36 }}


{{Multival|legend=1| 5 13 36 9 43 47 }}
Optimal tunings:
 
* CTE: ~2 = 1\1, ~243/200 = 339.711
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~243/200 = 339.711
* POTE: ~2 = 1\1, ~243/200 = 339.763
 
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~243/200 = 339.763


{{Optimal ET sequence|legend=1| 7d, 32cdddd, 39ddd, 46d, 53, 166, 219c, 272c }}
{{Optimal ET sequence|legend=1| 7d, 32cdddd, 39ddd, 46d, 53, 166, 219c, 272c }}
Line 320: Line 317:
Mapping: {{mapping| 1 3 6 13 -9 | 0 -5 -13 -36 44 }}
Mapping: {{mapping| 1 3 6 13 -9 | 0 -5 -13 -36 44 }}


Optimal tuning (CTE): ~2 = 1\1, ~243/200 = 339.751
Optimal tunings:
 
* CTE: ~2 = 1\1, ~243/200 = 339.751
Optimal tuning (POTE): ~2 = 1\1, ~243/200 = 339.763
* POTE: ~2 = 1\1, ~243/200 = 339.763


Optimal ET sequence: {{Optimal ET sequence| 53, 113, 166, 551ccee }}
Optimal ET sequence: {{Optimal ET sequence| 53, 113, 166, 551ccee }}
Line 335: Line 332:
Mapping: {{mapping| 1 3 6 13 -9 2 | 0 -5 -13 -36 44 6 }}
Mapping: {{mapping| 1 3 6 13 -9 2 | 0 -5 -13 -36 44 6 }}


Optimal tuning (CTE): ~2 = 1\1, ~39/32 = 339.754
Optimal tunings:
 
* CTE: ~2 = 1\1, ~39/32 = 339.754
Optimal tuning (POTE): ~2 = 1\1, ~39/32 = 339.764
* POTE: ~2 = 1\1, ~39/32 = 339.764


Optimal ET sequence: {{Optimal ET sequence| 53, 113, 166 }}
Optimal ET sequence: {{Optimal ET sequence| 53, 113, 166 }}
Line 350: Line 347:
Mapping: [{{val| 1 3 6 13 6 }}, {{val| 0 -5 -13 -36 -9 }}]
Mapping: [{{val| 1 3 6 13 6 }}, {{val| 0 -5 -13 -36 -9 }}]


Optimal tuning (CTE): ~2 = 1\1, ~11/9 = 339.680
Optimal tunings:
 
* CTE: ~2 = 1\1, ~11/9 = 339.680
Optimal tuning (POTE): ~2 = 1\1, ~11/9 = 339.814
* POTE: ~2 = 1\1, ~11/9 = 339.814


Optimal ET sequence: {{Optimal ET sequence| 7d, 32cdddd, 39ddd, 46d, 53 }}
Optimal ET sequence: {{Optimal ET sequence| 7d, 32cdddd, 39ddd, 46d, 53 }}
Line 365: Line 362:
Mapping: [{{val| 1 3 6 13 6 2 }}, {{val| 0 -5 -13 -36 -9 6 }}]
Mapping: [{{val| 1 3 6 13 6 2 }}, {{val| 0 -5 -13 -36 -9 6 }}]


Optimal tuning (CTE): ~2 = 1\1, ~11/9 = 339.685
Optimal tunings:
 
* CTE: ~2 = 1\1, ~11/9 = 339.685
Optimal tuning (POTE): ~2 = 1\1, ~11/9 = 339.784
* POTE: ~2 = 1\1, ~11/9 = 339.784


Optimal ET sequence: {{Optimal ET sequence| 7d, 32cdddd, 39ddd, 46d, 53 }}
Optimal ET sequence: {{Optimal ET sequence| 7d, 32cdddd, 39ddd, 46d, 53 }}
Line 382: Line 379:
{{Mapping|legend=1| 1 3 6 -17 | 0 -5 -13 70 }}
{{Mapping|legend=1| 1 3 6 -17 | 0 -5 -13 70 }}


[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~243/200 = 339.554
Optimal tunings:
 
* CTE: ~2 = 1\1, ~243/200 = 339.554
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~243/200 = 339.553
* POTE: ~2 = 1\1, ~243/200 = 339.553


{{Optimal ET sequence|legend=1| 53, 205d, 258, 311, 675, 986 }}
{{Optimal ET sequence|legend=1| 53, 205d, 258, 311, 675, 986 }}
Line 397: Line 394:
Mapping: {{mapping| 1 3 6 -17 36 | 0 -5 -13 70 -115 }}
Mapping: {{mapping| 1 3 6 -17 36 | 0 -5 -13 70 -115 }}


Optimal tuning (CTE): ~2 = 1\1, ~243/200 = 339.554
Optimal tunings:
 
* CTE: ~2 = 1\1, ~243/200 = 339.554
Optimal tuning (POTE): ~2 = 1\1, ~243/200 = 339.554
* POTE: ~2 = 1\1, ~243/200 = 339.554


Optimal ET sequence: {{Optimal ET sequence| 53, 205de, 258, 311, 675, 986 }}
Optimal ET sequence: {{Optimal ET sequence| 53, 205de, 258, 311, 675, 986 }}
Line 412: Line 409:
Mapping: {{mapping| 1 3 6 -17 36 17 | 0 -5 -13 70 -115 -47 }}
Mapping: {{mapping| 1 3 6 -17 36 17 | 0 -5 -13 70 -115 -47 }}


Optimal tuning (CTE): ~2 = 1\1, ~243/200 = 339.554
Optimal tunings:
 
* CTE: ~2 = 1\1, ~243/200 = 339.554
Optimal tuning (POTE): ~2 = 1\1, ~243/200 = 339.554
* POTE: ~2 = 1\1, ~243/200 = 339.554


Optimal ET sequence: {{Optimal ET sequence| 53, 205de, 258, 311, 675, 986, 1661cf }}
Optimal ET sequence: {{Optimal ET sequence| 53, 205de, 258, 311, 675, 986, 1661cf }}
Line 427: Line 424:
Mapping: {{mapping| 1 3 6 -17 36 17 -31 | 0 -5 -13 70 -115 -47 124 }}
Mapping: {{mapping| 1 3 6 -17 36 17 -31 | 0 -5 -13 70 -115 -47 124 }}


Optimal tuning (CTE): ~2 = 1\1, ~243/200 = 339.555
Optimal tunings:
 
* CTE: ~2 = 1\1, ~243/200 = 339.555
Optimal tuning (POTE): ~2 = 1\1, ~243/200 = 339.555
* POTE: ~2 = 1\1, ~243/200 = 339.555


Optimal ET sequence: {{Optimal ET sequence| 53, 205deg, 258g, 311, 675, 1661cf, 2336bccf, 3011bccf }}
Optimal ET sequence: {{Optimal ET sequence| 53, 205deg, 258g, 311, 675, 1661cf, 2336bccf, 3011bccf }}
Line 442: Line 439:
Mapping: {{mapping| 1 3 6 -17 36 17 -31 15 | 0 -5 -13 70 -115 -47 124 -38 }}
Mapping: {{mapping| 1 3 6 -17 36 17 -31 15 | 0 -5 -13 70 -115 -47 124 -38 }}


Optimal tuning (CTE): ~2 = 1\1, ~208/171 = 339.555
Optimal tunings:
 
* CTE: ~2 = 1\1, ~208/171 = 339.555
Optimal tuning (POTE): ~2 = 1\1, ~208/171 = 339.555
* POTE: ~2 = 1\1, ~208/171 = 339.555


Optimal ET sequence: {{Optimal ET sequence| 53, 205deg, 258g, 311, 675, 986, 1661cfh }}
Optimal ET sequence: {{Optimal ET sequence| 53, 205deg, 258g, 311, 675, 986, 1661cfh }}
Line 461: Line 458:
: mapping generators: ~343/240, ~7/6
: mapping generators: ~343/240, ~7/6


{{Multival|legend=1| 10 26 12 18 -9 -45 }}
Optimal tunings:
 
* CTE: ~343/240 = 1\2, ~7/6 = 260.563
[[Optimal tuning]] ([[CTE]]): ~343/240 = 1\2, ~7/6 = 260.563
* POTE: ~343/240 = 1\2, ~7/6 = 260.402
 
[[Optimal tuning]] ([[POTE]]): ~343/240 = 1\2, ~7/6 = 260.402


{{Optimal ET sequence|legend=1| 14c, 32c, 46, 106d, 152d }}
{{Optimal ET sequence|legend=1| 14c, 32c, 46, 106d, 152d }}
Line 478: Line 473:
Mapping: {{mapping| 2 1 -1 3 3 | 0 5 13 6 9 }}
Mapping: {{mapping| 2 1 -1 3 3 | 0 5 13 6 9 }}


Optimal tuning (CTE): ~99/70 = 1\2, ~7/6 = 260.653
Optimal tunings:
 
* CTE: ~99/70 = 1\2, ~7/6 = 260.653
Optimal tuning (POTE): ~99/70 = 1\2, ~7/6 = 260.393
* POTE: ~99/70 = 1\2, ~7/6 = 260.393


Optimal ET sequence: {{Optimal ET sequence| 14c, 32c, 46, 152de, 198, 244dee }}
Optimal ET sequence: {{Optimal ET sequence| 14c, 32c, 46, 152de, 198, 244dee }}
Line 493: Line 488:
Mapping: {{mapping| 2 1 -1 3 3 0 | 0 5 13 6 9 17 }}
Mapping: {{mapping| 2 1 -1 3 3 0 | 0 5 13 6 9 17 }}


Optimal tuning (CTE): ~55/39 = 1\2, ~7/6 = 260.811
Optimal tunings:
 
* CTE: ~55/39 = 1\2, ~7/6 = 260.811
Optimal tuning (POTE): ~55/39 = 1\2, ~7/6 = 260.618
* POTE: ~55/39 = 1\2, ~7/6 = 260.618


Optimal ET sequence: {{Optimal ET sequence| 14cf, 32cf, 46 }}
Optimal ET sequence: {{Optimal ET sequence| 14cf, 32cf, 46 }}
Line 512: Line 507:
: mapping generators: ~2, ~14/9
: mapping generators: ~2, ~14/9


{{Multival|legend=1| 10 26 19 18 2 -29 }}
Optimal tunings:
 
* CTE: ~2 = 1\1, ~9/7 = 430.168
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~9/7 = 430.168
* POTE: ~2 = 1\1, ~9/7 = 430.219
 
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~9/7 = 430.219


{{Optimal ET sequence|legend=1| 14c, 39d, 53 }}
{{Optimal ET sequence|legend=1| 14c, 39d, 53 }}
Line 529: Line 522:
Mapping: {{mapping| 1 8 19 15 15 | 0 -10 -26 -19 -18 }}
Mapping: {{mapping| 1 8 19 15 15 | 0 -10 -26 -19 -18 }}


Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 430.220
Optimal tunings:
 
* CTE: ~2 = 1\1, ~9/7 = 430.220
Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 430.192
* POTE: ~2 = 1\1, ~9/7 = 430.192


Optimal ET sequence: {{Optimal ET sequence| 14c, 39d, 53 }}
Optimal ET sequence: {{Optimal ET sequence| 14c, 39d, 53 }}
Line 544: Line 537:
Mapping: {{mapping| 1 8 19 15 15 30 | 0 -10 -26 -19 -18 -41 }}
Mapping: {{mapping| 1 8 19 15 15 30 | 0 -10 -26 -19 -18 -41 }}


Optimal tuning (CTE): ~2 = 1\1, ~9/7 = 430.233
Optimal tunings:
 
* CTE: ~2 = 1\1, ~9/7 = 430.233
Optimal tuning (POTE): ~2 = 1\1, ~9/7 = 430.216
* POTE: ~2 = 1\1, ~9/7 = 430.216


Optimal ET sequence: {{Optimal ET sequence| 14cf, 39df, 53 }}
Optimal ET sequence: {{Optimal ET sequence| 14cf, 39df, 53 }}
Line 563: Line 556:
: mapping generators: ~2, ~320/189
: mapping generators: ~2, ~320/189


{{Multival|legend=1| 15 39 -5 27 -50 -121 }}
Optimal tunings:
 
* CTE: ~2 = 1\1, ~189/160 = 286.816
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~189/160 = 286.816
* POTE: ~2 = 1\1, ~189/160 = 286.787
 
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~189/160 = 286.787


{{Optimal ET sequence|legend=1| 46, 113, 159, 205d, 364d }}
{{Optimal ET sequence|legend=1| 46, 113, 159, 205d, 364d }}
Line 580: Line 571:
Mapping: {{mapping| 1 13 32 -1 -11 | 0 -15 -39 5 19 }}
Mapping: {{mapping| 1 13 32 -1 -11 | 0 -15 -39 5 19 }}


Optimal tuning (CTE): ~2 = 1\1, ~33/28 = 286.813
Optimal tunings:
 
* CTE: ~2 = 1\1, ~33/28 = 286.813
Optimal tuning (POTE): ~2 = 1\1, ~33/28 = 286.797
* POTE: ~2 = 1\1, ~33/28 = 286.797


Optimal ET sequence: {{Optimal ET sequence| 46, 113, 159, 205d, 364d }}
Optimal ET sequence: {{Optimal ET sequence| 46, 113, 159, 205d, 364d }}
Line 595: Line 586:
Mapping: {{mapping| 1 13 32 -1 -11 -10 | 0 -15 -39 5 19 18 }}
Mapping: {{mapping| 1 13 32 -1 -11 -10 | 0 -15 -39 5 19 18 }}


Optimal tuning (CTE): ~2 = 1\1, ~13/11 = 286.803
Optimal tunings:
 
* CTE: ~2 = 1\1, ~13/11 = 286.803
Optimal tuning (POTE): ~2 = 1\1, ~13/11 = 286.789
* POTE: ~2 = 1\1, ~13/11 = 286.789


Optimal ET sequence: {{Optimal ET sequence| 46, 113, 159, 364df, 523ddff }}
Optimal ET sequence: {{Optimal ET sequence| 46, 113, 159, 364df, 523ddff }}
Line 610: Line 601:
Mapping: {{mapping| 1 13 32 -1 -11 -10 -2 | 0 -15 -39 5 19 18 8 }}
Mapping: {{mapping| 1 13 32 -1 -11 -10 -2 | 0 -15 -39 5 19 18 8 }}


Optimal tuning (CTE): ~2 = 1\1, ~13/11 = 286.804
Optimal tunings:
 
* CTE: ~2 = 1\1, ~13/11 = 286.804
Optimal tuning (POTE): ~2 = 1\1, ~13/11 = 286.795
* POTE: ~2 = 1\1, ~13/11 = 286.795


Optimal ET sequence: {{Optimal ET sequence| 46, 113, 159, 364df, 523ddff }}
Optimal ET sequence: {{Optimal ET sequence| 46, 113, 159, 364df, 523ddff }}
Line 627: Line 618:
{{Mapping|legend=1| 1 8 19 46 | 0 -15 -39 -101 }}
{{Mapping|legend=1| 1 8 19 46 | 0 -15 -39 -101 }}


{{Multival|legend=1| 15 39 101 27 118 125 }}
Optimal tunings:
 
* CTE: ~2 = 1\1, ~168/125 = 513.180
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~168/125 = 513.180
* POTE: ~2 = 1\1, ~168/125 = 513.178
 
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~168/125 = 513.178


{{Optimal ET sequence|legend=1| 7d, …, 145d, 152, 311, 774, 1085 }}
{{Optimal ET sequence|legend=1| 7d, …, 145d, 152, 311, 774, 1085 }}
Line 644: Line 633:
Mapping: {{mapping| 1 8 19 46 18 | 0 -15 -39 -101 -34 }}
Mapping: {{mapping| 1 8 19 46 18 | 0 -15 -39 -101 -34 }}


Optimal tuning (CTE): ~2 = 1\1, ~121/90 = 513.181
Optimal tunings:
 
* CTE: ~2 = 1\1, ~121/90 = 513.181
Optimal tuning (POTE): ~2 = 1\1, ~121/90 = 513.177
* POTE: ~2 = 1\1, ~121/90 = 513.177


Optimal ET sequence: {{Optimal ET sequence| 7d, …, 145d, 152, 311, 774, 1085e, 1396e }}
Optimal ET sequence: {{Optimal ET sequence| 7d, …, 145d, 152, 311, 774, 1085e, 1396e }}
Line 659: Line 648:
Mapping: {{mapping| 1 8 19 46 18 64 | 0 -15 -39 -101 -34 -141 }}
Mapping: {{mapping| 1 8 19 46 18 64 | 0 -15 -39 -101 -34 -141 }}


Optimal tuning (CTE): ~2 = 1\1, ~35/26 = 513.184
Optimal tunings:
 
* CTE: ~2 = 1\1, ~35/26 = 513.184
Optimal tuning (POTE): ~2 = 1\1, ~35/26 = 513.182
* POTE: ~2 = 1\1, ~35/26 = 513.182


Optimal ET sequence: {{Optimal ET sequence| 152f, 159, 311 }}
Optimal ET sequence: {{Optimal ET sequence| 152f, 159, 311 }}
Line 674: Line 663:
Mapping: {{mapping| 1 8 19 46 18 64 -22 | 0 -15 -39 -101 -34 -141 61 }}
Mapping: {{mapping| 1 8 19 46 18 64 -22 | 0 -15 -39 -101 -34 -141 61 }}


Optimal tuning (CTE): ~2 = 1\1, ~35/26 = 513.185
Optimal tunings:
 
* CTE: ~2 = 1\1, ~35/26 = 513.185
Optimal tuning (POTE): ~2 = 1\1, ~35/26 = 513.186
* POTE: ~2 = 1\1, ~35/26 = 513.186


Optimal ET sequence: {{Optimal ET sequence| 152f, 159, 311, 1714cdeg, 2025cdefgg, 2336bccdefgg }}
Optimal ET sequence: {{Optimal ET sequence| 152f, 159, 311, 1714cdeg, 2025cdefgg, 2336bccdefgg }}
Line 689: Line 678:
Mapping: {{mapping| 1 8 19 46 18 64 -22 53 | 0 -15 -39 -101 -34 -141 61 -114 }}
Mapping: {{mapping| 1 8 19 46 18 64 -22 53 | 0 -15 -39 -101 -34 -141 61 -114 }}


Optimal tuning (CTE): ~2 = 1\1, ~35/26 = 513.184
Optimal tunings:
 
* CTE: ~2 = 1\1, ~35/26 = 513.184
Optimal tuning (POTE): ~2 = 1\1, ~35/26 = 513.185
* POTE: ~2 = 1\1, ~35/26 = 513.185


Optimal ET sequence: {{Optimal ET sequence| 152f, 159, 311 }}
Optimal ET sequence: {{Optimal ET sequence| 152f, 159, 311 }}
Line 704: Line 693:
Mapping: {{mapping| 1 8 19 46 18 64 -22 53 49 | 0 -15 -39 -101 -34 -141 61 -114 -104 }}
Mapping: {{mapping| 1 8 19 46 18 64 -22 53 49 | 0 -15 -39 -101 -34 -141 61 -114 -104 }}


Optimal tuning (CTE): ~2 = 1\1, ~35/26 = 513.184
Optimal tunings:
 
* CTE: ~2 = 1\1, ~35/26 = 513.184
Optimal tuning (POTE): ~2 = 1\1, ~35/26 = 513.185
* POTE: ~2 = 1\1, ~35/26 = 513.185


Optimal ET sequence: {{Optimal ET sequence| 152f, 159, 311, 1714cdeghi, 2025cdefgghhi, 2336bccdefgghhi }}
Optimal ET sequence: {{Optimal ET sequence| 152f, 159, 311, 1714cdeghi, 2025cdefgghhi, 2336bccdefgghhi }}
Line 719: Line 708:
Mapping: {{mapping| 1 8 19 46 18 64 -22 53 49 72 | 0 -15 -39 -101 -34 -141 61 -114 -104 -157 }}
Mapping: {{mapping| 1 8 19 46 18 64 -22 53 49 72 | 0 -15 -39 -101 -34 -141 61 -114 -104 -157 }}


Optimal tuning (CTE): ~2 = 1\1, ~35/26 = 513.185
Optimal tunings:
 
* CTE: ~2 = 1\1, ~35/26 = 513.185
Optimal tuning (POTE): ~2 = 1\1, ~35/26 = 513.186
* POTE: ~2 = 1\1, ~35/26 = 513.186


Optimal ET sequence: {{Optimal ET sequence| 152fj, 159, 311, 1403cdgh, 1714cdeghi, 2025cdefgghhij, 2336bccdefgghhij }}
Optimal ET sequence: {{Optimal ET sequence| 152fj, 159, 311, 1403cdgh, 1714cdeghi, 2025cdefgghhij, 2336bccdefgghhij }}
Line 738: Line 727:
{{Mapping|legend=1| 1 3 6 5 | 0 -20 -52 -31 }}
{{Mapping|legend=1| 1 3 6 5 | 0 -20 -52 -31 }}


{{Multival|legend=1| 20 52 31 36 -7 -74 }}
Optimal tunings:
 
* CTE: ~2 = 1\1, ~21/20 = 84.8831
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~21/20 = 84.8831
* POTE: ~2 = 1\1, ~21/20 = 84.880
 
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~21/20 = 84.880


{{Optimal ET sequence|legend=1| 14c, …, 85c, 99, 212, 311, 721, 1032, 1753b }}
{{Optimal ET sequence|legend=1| 14c, …, 85c, 99, 212, 311, 721, 1032, 1753b }}
Line 755: Line 742:
Mapping: {{mapping| 1 3 6 5 -8 | 0 -20 -52 -31 162 }}
Mapping: {{mapping| 1 3 6 5 -8 | 0 -20 -52 -31 162 }}


Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 84.8843
Optimal tunings:
 
* CTE: ~2 = 1\1, ~21/20 = 84.8843
Optimal tuning (POTE): ~2 = 1\1, ~21/20 = 84.8843
* POTE: ~2 = 1\1, ~21/20 = 84.8843


Optimal ET sequence: {{Optimal ET sequence| 99, 212e, 311, 721, 1032, 1343, 2375bc }}
Optimal ET sequence: {{Optimal ET sequence| 99, 212e, 311, 721, 1032, 1343, 2375bc }}
Line 770: Line 757:
Mapping: {{mapping| 1 3 6 5 -8 -5 | 0 -20 -52 -31 162 123 }}
Mapping: {{mapping| 1 3 6 5 -8 -5 | 0 -20 -52 -31 162 123 }}


Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 84.8837
Optimal tunings:
 
* CTE: ~2 = 1\1, ~21/20 = 84.8837
Optimal tuning (POTE): ~2 = 1\1, ~21/20 = 84.8838
* POTE: ~2 = 1\1, ~21/20 = 84.8838


Optimal ET sequence: {{Optimal ET sequence| 99, 212ef, 311, 721, 1032 }}
Optimal ET sequence: {{Optimal ET sequence| 99, 212ef, 311, 721, 1032 }}
Line 785: Line 772:
Mapping: {{mapping| 1 3 6 5 14 | 0 -20 -52 -31 -149 }}
Mapping: {{mapping| 1 3 6 5 14 | 0 -20 -52 -31 -149 }}


Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 84.8883
Optimal tunings:
 
* CTE: ~2 = 1\1, ~21/20 = 84.8883
Optimal tuning (POTE): ~2 = 1\1, ~21/20 = 84.8896
* POTE: ~2 = 1\1, ~21/20 = 84.8896


Optimal ET sequence: {{Optimal ET sequence| 99e, 212, 311, 2389bccd, 2700bccde, 3011bccde, 3322bccdde }}
Optimal ET sequence: {{Optimal ET sequence| 99e, 212, 311, 2389bccd, 2700bccde, 3011bccde, 3322bccdde }}
Line 800: Line 787:
Mapping: {{mapping| 1 3 6 5 14 17 | 0 -20 -52 -31 -149 -188 }}
Mapping: {{mapping| 1 3 6 5 14 17 | 0 -20 -52 -31 -149 -188 }}


Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 84.8895
Optimal tunings:
 
* CTE: ~2 = 1\1, ~21/20 = 84.8895
Optimal tuning (POTE): ~2 = 1\1, ~21/20 = 84.8910
* POTE: ~2 = 1\1, ~21/20 = 84.8910


Optimal ET sequence: {{Optimal ET sequence| 99ef, 212, 311, 1145c, 1456cd, 1767cd }}
Optimal ET sequence: {{Optimal ET sequence| 99ef, 212, 311, 1145c, 1456cd, 1767cd }}
Line 815: Line 802:
Mapping: {{mapping| 1 3 6 5 -1 | 0 -20 -52 -31 63 }}
Mapping: {{mapping| 1 3 6 5 -1 | 0 -20 -52 -31 63 }}


Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 84.9005
Optimal tunings:
 
* CTE: ~2 = 1\1, ~21/20 = 84.9005
Optimal tuning (POTE): ~2 = 1\1, ~21/20 = 84.9091
* POTE: ~2 = 1\1, ~21/20 = 84.9091


Optimal ET sequence: {{Optimal ET sequence| 14ce, …, 85cee, 99, 212 }}
Optimal ET sequence: {{Optimal ET sequence| 14ce, …, 85cee, 99, 212 }}
Line 830: Line 817:
Mapping: {{mapping| 1 3 6 5 -1 2 | 0 -20 -52 -31 63 24 }}
Mapping: {{mapping| 1 3 6 5 -1 2 | 0 -20 -52 -31 63 24 }}


Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 84.9049
Optimal tunings:
 
* CTE: ~2 = 1\1, ~21/20 = 84.9049
Optimal tuning (POTE): ~2 = 1\1, ~21/20 = 84.9127
* POTE: ~2 = 1\1, ~21/20 = 84.9127


Optimal ET sequence: {{Optimal ET sequence| 14ce, …, 85ceef, 99, 113, 212 }}
Optimal ET sequence: {{Optimal ET sequence| 14ce, …, 85ceef, 99, 113, 212 }}
Line 845: Line 832:
Mapping: {{mapping| 1 3 6 5 7 | 0 -20 -52 -31 -50 }}
Mapping: {{mapping| 1 3 6 5 7 | 0 -20 -52 -31 -50 }}


Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 84.9022
Optimal tunings:
 
* CTE: ~2 = 1\1, ~21/20 = 84.9022
Optimal tuning (POTE): ~2 = 1\1, ~21/20 = 84.8917
* POTE: ~2 = 1\1, ~21/20 = 84.8917


Optimal ET sequence: {{Optimal ET sequence| 14c, …, 85ce, 99e, 113, 212e }}
Optimal ET sequence: {{Optimal ET sequence| 14c, …, 85ce, 99e, 113, 212e }}
Line 860: Line 847:
Mapping: {{mapping| 1 3 6 5 7 10 | 0 -20 -52 -31 -50 -89 }}
Mapping: {{mapping| 1 3 6 5 7 10 | 0 -20 -52 -31 -50 -89 }}


Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 84.9153
Optimal tunings:
 
* CTE: ~2 = 1\1, ~21/20 = 84.9153
Optimal tuning (POTE): ~2 = 1\1, ~21/20 = 84.9164
* POTE: ~2 = 1\1, ~21/20 = 84.9164


Optimal ET sequence: {{Optimal ET sequence| 14cf, …, 85ceff, 99ef, 113, 212ef, 325ce, 537cdeef }}
Optimal ET sequence: {{Optimal ET sequence| 14cf, …, 85ceff, 99ef, 113, 212ef, 325ce, 537cdeef }}
Line 875: Line 862:
Mapping: {{mapping| 2 6 12 10 13 | 0 -20 -52 -31 -43 }}
Mapping: {{mapping| 2 6 12 10 13 | 0 -20 -52 -31 -43 }}


Optimal tuning (CTE): ~99/70 = 1\2, ~21/20 = 84.8781
Optimal tunings:
 
* CTE: ~99/70 = 1\2, ~21/20 = 84.8781
Optimal tuning (POTE): ~99/70 = 1\2, ~21/20 = 84.8788
* POTE: ~99/70 = 1\2, ~21/20 = 84.8788


Optimal ET sequence: {{Optimal ET sequence| 14c, …, 170bccde, 184c, 198, 212, 410 }}
Optimal ET sequence: {{Optimal ET sequence| 14c, …, 170bccde, 184c, 198, 212, 410 }}
Line 890: Line 877:
Mapping: {{mapping| 2 6 12 10 13 19 | 0 -20 -52 -31 -43 -82 }}
Mapping: {{mapping| 2 6 12 10 13 19 | 0 -20 -52 -31 -43 -82 }}


Optimal tuning (CTE): ~99/70 = 1\2, ~21/20 = 84.8759
Optimal tunings:
 
* CTE: ~99/70 = 1\2, ~21/20 = 84.8759
Optimal tuning (POTE): ~99/70 = 1\2, ~21/20 = 84.8750
* POTE: ~99/70 = 1\2, ~21/20 = 84.8750


Optimal ET sequence: {{Optimal ET sequence| 14c, …, 184cff, 198, 410 }}
Optimal ET sequence: {{Optimal ET sequence| 14c, …, 184cff, 198, 410 }}
Line 905: Line 892:
Mapping: {{mapping| 1 3 6 5 3 | 0 -40 -104 -62 13 }}
Mapping: {{mapping| 1 3 6 5 3 | 0 -40 -104 -62 13 }}


Optimal tuning (CTE): ~2 = 1\1, ~4096/3993 = 42.4414
Optimal tunings:
 
* CTE: ~2 = 1\1, ~4096/3993 = 42.4414
Optimal tuning (POTE): ~2 = 1\1, ~4096/3993 = 42.4391
* POTE: ~2 = 1\1, ~4096/3993 = 42.4391


Optimal ET sequence: {{Optimal ET sequence| 85c, 113, 198, 311, 1131, 1442, 1753be }}
Optimal ET sequence: {{Optimal ET sequence| 85c, 113, 198, 311, 1131, 1442, 1753be }}
Line 920: Line 907:
Mapping: {{mapping| 1 3 6 5 3 6 | 0 -40 -104 -62 13 -65 }}
Mapping: {{mapping| 1 3 6 5 3 6 | 0 -40 -104 -62 13 -65 }}


Optimal tuning (CTE): ~2 = 1\1, ~40/39 = 42.4425
Optimal tunings:
 
* CTE: ~2 = 1\1, ~40/39 = 42.4425
Optimal tuning (POTE): ~2 = 1\1, ~40/39 = 42.4391
* POTE: ~2 = 1\1, ~40/39 = 42.4391


Optimal ET sequence: {{Optimal ET sequence| 85c, 113, 198, 311, 1753beff, 2064beff, 2375bceff }}
Optimal ET sequence: {{Optimal ET sequence| 85c, 113, 198, 311, 1753beff, 2064beff, 2375bceff }}
Line 937: Line 924:
{{Mapping|legend=1| 1 13 32 -15 | 0 -25 -65 39 }}
{{Mapping|legend=1| 1 13 32 -15 | 0 -25 -65 39 }}


[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~48/35 = 547.909
[[Optimal tuning]] (CTE): ~2 = 1\1, ~48/35 = 547.909


{{Optimal ET sequence|legend=1| 46, 219c, 265, 311 }}
{{Optimal ET sequence|legend=1| 46, 219c, 265, 311 }}
Line 978: Line 965:
{{Mapping|legend=1| 1 8 19 20 | 0 -25 -65 -67 }}
{{Mapping|legend=1| 1 8 19 20 | 0 -25 -65 -67 }}


{{Multival|legend=1| 25 65 67 45 36 -27 }}
Optimal tunings:
 
* CTE: ~2 = 1\1, ~11907/10000 = 307.915
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~11907/10000 = 307.915
* POTE: ~2 = 1\1, ~11907/10000 = 307.941
 
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~11907/10000 = 307.941


{{Optimal ET sequence|legend=1| 39d, 74cd, 113, 152, 265, 417, 1516ccdd, 1933ccdd }}
{{Optimal ET sequence|legend=1| 39d, 74cd, 113, 152, 265, 417, 1516ccdd, 1933ccdd }}
Line 995: Line 980:
Mapping: {{mapping| 1 8 19 20 5 | 0 -25 -65 -67 -6 }}
Mapping: {{mapping| 1 8 19 20 5 | 0 -25 -65 -67 -6 }}


Optimal tuning (CTE): ~2 = 1\1, ~3200/2673 = 307.915
Optimal tunings:
 
* CTE: ~2 = 1\1, ~3200/2673 = 307.915
Optimal tuning (POTE): ~2 = 1\1, ~3200/2673 = 307.906
* POTE: ~2 = 1\1, ~3200/2673 = 307.906


Optimal ET sequence: {{Optimal ET sequence| 39d, 74cd, 113, 152, 265, 417, 1099cdee }}
Optimal ET sequence: {{Optimal ET sequence| 39d, 74cd, 113, 152, 265, 417, 1099cdee }}
Line 1,010: Line 995:
Mapping: {{mapping| 1 8 19 20 5 25 | 0 -25 -65 -67 -6 -83 }}
Mapping: {{mapping| 1 8 19 20 5 25 | 0 -25 -65 -67 -6 -83 }}


Optimal tuning (CTE): ~2 = 1\1, ~143/120 = 307.922
Optimal tunings:
 
* CTE: ~2 = 1\1, ~143/120 = 307.922
Optimal tuning (POTE): ~2 = 1\1, ~143/120 = 307.913
* POTE: ~2 = 1\1, ~143/120 = 307.913


Optimal ET sequence: {{Optimal ET sequence| 39df, 74cdf, 113, 152f, 265 }}
Optimal ET sequence: {{Optimal ET sequence| 39df, 74cdf, 113, 152f, 265 }}
Line 1,019: Line 1,004:


[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Pages with mostly numerical content]]
[[Category:Amity family| ]] <!-- main article -->
[[Category:Amity family| ]] <!-- main article -->
[[Category:Amity| ]] <!-- key article -->
[[Category:Amity| ]] <!-- key article -->
[[Category:Rank 2]]
[[Category:Rank 2]]
Retrieved from "https://en.xen.wiki/w/Amity_family"