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Olympic clan: Difference between revisions

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Tag: Manual revert
m Units & misc. cleanup
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{{Mapping|legend=2| 1 0 0 17 | 0 1 0 -5 | 0 0 1 -2 }}
{{Mapping|legend=2| 1 0 0 17 | 0 1 0 -5 | 0 0 1 -2 }}
: mapping generators: ~2, ~3, ~7


: sval mapping generators: ~2, ~3, ~7
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 702.0805{{c}}, ~7/4 = 969.0275{{c}}
 
[[Optimal tuning]] ([[POTE]]): ~3/2 = 702.0805, ~7/4 = 969.0275


{{Optimal ET sequence|legend=1| 41, 87, 89, 94, 130, 135, 359, 400, 494, 535, 670, 805, 1164, 1299, 1834, 1969, 5102bde, 5237bde, 7206bddee, 10339bbdddeee }}
{{Optimal ET sequence|legend=1| 41, 87, 89, 94, 130, 135, 359, 400, 494, 535, 670, 805, 1164, 1299, 1834, 1969, 5102bde, 5237bde, 7206bddee, 10339bbdddeee }}


[[Badness]]: 0.0183 × 10<sup>-3</sup>
[[Badness]] (Smith): 0.0183 × 10<sup>-3</sup>


=== Overview to extensions ===
=== Overview to extensions ===
Line 39: Line 38:
{{Mapping|legend=1| 1 0 15 0 17 | 0 1 -8 0 -5 | 0 0 0 1 -2 }}
{{Mapping|legend=1| 1 0 15 0 17 | 0 1 -8 0 -5 | 0 0 0 1 -2 }}


[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.7405, ~7/4 = 969.6950
[[Optimal tuning]] ([[CTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 701.7405{{c}}, ~7/4 = 969.6950{{c}}


{{Optimal ET sequence|legend=1| 41, 53, 89, 94, 130, 183, 224, 354, 537, 578, 761d, 985d, 1115de }}
{{Optimal ET sequence|legend=1| 41, 53, 89, 94, 130, 183, 224, 354, 537, 578, 761d, 985d, 1115de }}


[[Badness]]: 1.18 × 10<sup>-3</sup>
[[Badness]] (Smith): 1.18 × 10<sup>-3</sup>


=== 13-limit ===
=== 13-limit ===
Line 52: Line 51:
Mapping: {{mapping| 1 0 15 0 17 -3 | 0 1 -8 0 -5 6 | 0 0 0 1 -2 -1 }}
Mapping: {{mapping| 1 0 15 0 17 -3 | 0 1 -8 0 -5 6 | 0 0 0 1 -2 -1 }}


Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.7333, ~7/4 = 969.7085
Optimal tuning (CTE): ~2 = 1200.0000{{c}}, ~3/2 = 701.7333{{c}}, ~7/4 = 969.7085{{c}}


{{Optimal ET sequence|legend=1| 41, 53, 89, 94, 130, 183, 224, 354, 578, 985d }}
{{Optimal ET sequence|legend=0| 41, 53, 89, 94, 130, 183, 224, 354, 578, 985d }}


Badness: 0.833 × 10<sup>-3</sup>
Badness (Smith): 0.833 × 10<sup>-3</sup>


== Baffin ==
== Baffin ==
Line 65: Line 64:


{{Mapping|legend=1| 1 0 0 13 | 0 2 0 -7 | 0 0 1 -2 }}
{{Mapping|legend=1| 1 0 0 13 | 0 2 0 -7 | 0 0 1 -2 }}
: mapping generators: ~2, ~8192/4725, ~5
: mapping generators: ~2, ~8192/4725, ~5


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8192/4725 = 951.0868, ~5/4 = 386.6183
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~8192/4725 = 951.0868{{c}}, ~5/4 = 386.6183{{c}}


{{Optimal ET sequence|legend=1| 10, 19d, 24, 34, 43, 53, 87, 130, 183, 217, 270, 593, 863, 1133, 1856cd, 2126cd, 2719cd, 2989bcd }}
{{Optimal ET sequence|legend=1| 10, 19d, 24, 34, 43, 53, 87, 130, 183, 217, 270, 593, 863, 1133, 1856cd, 2126cd, 2719cd, 2989bcd }}


[[Badness]]: 0.865 × 10<sup>-3</sup>
[[Badness]] (Smith): 0.865 × 10<sup>-3</sup>


=== 11-limit ===
=== 11-limit ===
Line 81: Line 79:
{{Mapping|legend=1| 1 0 0 13 -9 | 0 2 0 -7 4 | 0 0 1 -2 4 }}
{{Mapping|legend=1| 1 0 0 13 -9 | 0 2 0 -7 4 | 0 0 1 -2 4 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~400/231 = 951.0585, ~5/4 = 386.7912
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~400/231 = 951.0585{{c}}, ~5/4 = 386.7912{{c}}


{{Optimal ET sequence|legend=1| 34, 43, 53, 87, 130, 183, 270, 670, 940, 1210, 2063c }}
{{Optimal ET sequence|legend=0| 34, 43, 53, 87, 130, 183, 270, 670, 940, 1210, 2063c }}


[[Badness]]: 0.976 × 10<sup>-3</sup>
[[Badness]] (Smith): 0.976 × 10<sup>-3</sup>


=== 13-limit ===
=== 13-limit ===
Line 94: Line 92:
Mapping: {{mapping| 1 0 0 13 -9 1 | 0 2 0 -7 4 3 | 0 0 1 -2 4 1 }}
Mapping: {{mapping| 1 0 0 13 -9 1 | 0 2 0 -7 4 3 | 0 0 1 -2 4 1 }}


Optimal tuning (POTE): ~2 = 1\1, ~26/15 = 951.0882, ~5/4 = 386.7507
Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~26/15 = 951.0882{{c}}, ~5/4 = 386.7507{{c}}


{{Optimal ET sequence|legend=1| 34, 43, 53, 87, 130, 183, 217, 270, 940, 1210f }}
{{Optimal ET sequence|legend=0| 34, 43, 53, 87, 130, 183, 217, 270, 940, 1210f }}


Badness: 0.604 × 10<sup>-3</sup>
Badness (Smith): 0.604 × 10<sup>-3</sup>


Complexity spectrum: 15/13, 16/15, 13/12, 4/3, 16/13, 5/4, 18/13, 13/10, 6/5, 9/8, 11/10, 8/7, 7/5, 15/11, 10/9, 13/11, 15/14, 11/8, 7/6, 14/13, 12/11, 9/7, 11/9, 14/11
Complexity spectrum: 15/13, 16/15, 13/12, 4/3, 16/13, 5/4, 18/13, 13/10, 6/5, 9/8, 11/10, 8/7, 7/5, 15/11, 10/9, 13/11, 15/14, 11/8, 7/6, 14/13, 12/11, 9/7, 11/9, 14/11
Line 109: Line 107:
{{Mapping|legend=1| 1 0 2 3 11 | 0 1 0 0 -5 | 0 0 5 -3 6 }}
{{Mapping|legend=1| 1 0 2 3 11 | 0 1 0 0 -5 | 0 0 5 -3 6 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 702.3024, ~256/245 = 77.1952
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 702.3024{{c}}, ~256/245 = 77.1952{{c}}


{{Optimal ET sequence|legend=1| 46, 94, 140, 171, 217, 311, 979, 1290 }}
{{Optimal ET sequence|legend=1| 46, 94, 140, 171, 217, 311, 979, 1290 }}


[[Badness]]: 3.78 × 10<sup>-3</sup>
[[Badness]] (Smith): 3.78 × 10<sup>-3</sup>


=== 13-limit ===
=== 13-limit ===
Line 122: Line 120:
Mapping: {{mapping| 1 0 2 3 11 7 | 0 1 0 0 -5 -2 | 0 0 5 -3 6 -2 }}
Mapping: {{mapping| 1 0 2 3 11 7 | 0 1 0 0 -5 -2 | 0 0 5 -3 6 -2 }}


Optimal tuning (POTE): ~2 = 1\1, ~3/2 = 702.3319, ~117/112 = 77.2152
Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 702.3319{{c}}, ~117/112 = 77.2152{{c}}


{{Optimal ET sequence|legend=1| 46, 77e, 94, 140, 171, 217, 311, 668, 979, 1290 }}
{{Optimal ET sequence|legend=0| 46, 77e, 94, 140, 171, 217, 311, 668, 979, 1290 }}


Badness: 1.67 × 10<sup>-3</sup>
Badness (Smith): 1.67 × 10<sup>-3</sup>


=== 17-limit ===
=== 17-limit ===
Line 135: Line 133:
Mapping: {{mapping| 1 0 2 3 11 7 7 | 0 1 0 0 -5 -2 -2 | 0 0 5 -3 6 -2 4 }}
Mapping: {{mapping| 1 0 2 3 11 7 7 | 0 1 0 0 -5 -2 -2 | 0 0 5 -3 6 -2 4 }}


Optimal tuning (POTE): ~2 = 1\1, ~3/2 = 702.3205, ~68/65 = 77.2255
Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 702.3205{{c}}, ~68/65 = 77.2255{{c}}


{{Optimal ET sequence|legend=1| 46, 77e, 94, 140, 171, 217, 311, 668, 839e, 979g }}
{{Optimal ET sequence|legend=0| 46, 77e, 94, 140, 171, 217, 311, 668, 839e, 979g }}


Badness: 0.989 × 10<sup>-3</sup>
Badness (Smith): 0.989 × 10<sup>-3</sup>


[[Category:Temperament clans]]
[[Category:Temperament clans]]
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