Kalismic temperaments: Difference between revisions

Line 29:

: mapping generators: ~55/49, ~3, ~5

[[Optimal tuning]]s:

* [[WE]]: ~55/49 = 200.0008{{c}}, ~3/2 = 701.9318{{c}}, ~5/4 = 386.3342{{c}}

: [[error map]]: {{val| +0.005 -0.018 +0.031 -0.004 -0.018 }}

* [[CWE]]: ~55/49 = 200.0000{{c}}, ~3/2 = 701.9320{{c}}, ~5/4 = 386.3393{{c}}

: error map: {{val| 0.000 -0.023 +0.026 -0.011 -0.028 }}

{{Optimal ET sequence|legend=1| 12, 42, 48dee, 54c, 60e, 72, 198, 270, 342, 612, 954, 1236, 1506, 1578, 1848, 3426, 4038, 5616, 7464, 17118e, 18966e }}

[[Badness]] (~~Smith~~): 0.~~116 × 10-3~~

[[Badness]] (Sintel): 0.140

== Lycoris ==

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Line 45:

[[Comma list]]: 9801/9800, 1771561/1771470

: mapping generators: ~99/70, ~3, ~81/70

: mapping generators: ~99/70, ~3, ~11/9

[[Optimal tuning]] ([[~~CTE~~]]): ~99/70 = 600.0000{{c}}, ~3/2 = 701.~~9439~~{{c}}, ~81/70 = ~~252~~.~~6028~~{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~99/70 = 600.0018{{c}}, ~3/2 = 701.9411{{c}}, ~11/9 = 347.3976{{c}}

: [[error map]]: {{val| +0.004 -0.010 +0.013 -0.018 -0.031 }}

* [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 701.9414{{c}}, ~11/9 = 347.3969{{c}}

: error map: {{val| 0.000 -0.014 +0.009 +0.014 -0.038 }}

{{Optimal ET sequence|legend=1| 152, 328, 342, 836, 1178, 1354, 1506, 1848, 2684, 4038, 4190, 4532, 11254, 15786e }}

[[Badness]] (~~Smith~~): 0.~~249 × 10-3~~

[[Badness]] (Sintel): 0.299

=== Higanbana ===

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Line 63:

Comma list: 9801/9800, 10648/10647, 1399680/1399489

Mapping: {{mapping| 2 1 5 -~~3 3 8~~ | 0 2 2 6 4 1 | 0 0 -6 5 -1 4 }}

Mapping: {{mapping| 2 1 -1 2 2 4 | 0 2 2 6 4 1 | 0 0 6 -5 1 4 }}

: mapping generators: ~99/70, ~1458/1001, ~81/70

Optimal ~~tuning (CTE)~~: ~99/70 = 600.0000{{c}}, ~1458/1001 = 650.~~9715~~{{c}}, ~81/70 = ~~252~~.~~6037~~{{c}}

Optimal tunings:

* WE: ~99/70 = 599.9996{{c}}, ~1458/1001 = 650.9717{{c}}, ~11/9 = 347.3963{{c}}

* CWE: ~99/70 = 600.0000{{c}}, ~1458/1001 = 650.9718{{c}}, ~11/9 = 347.3964{{c}}

{{Optimal ET sequence|legend=0| 166, 190, 304d, 328, 494, 684, 1012, 1178, 1506, 2190, 2684, 4190, 6380, 9064, 15938 }}

Badness (~~Smith~~): 0.~~416 × 10-3~~

Badness (Sintel): 0.389

== Van gogh ==

Line 68:

Line 80:

: mapping generators: ~99/70, ~3, ~9/7

: mapping generators: ~99/70, ~3, ~11/10

[[Optimal tuning]]s:

* [[WE]]: ~99/70 = 600.0022{{c}}, ~3/2 = 701.9464{{c}}, ~11/9 = 164.9319{{c}}

: [[error map]]: {{val| +0.004 -0.004 +0.022 +0.005 -0.046 }}

* [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 701.9469{{c}}, ~11/9 = 164.9316{{c}}

: error map: {{val| 0.000 -0.008 +0.018 -0.000 -0.055 }}

{{Optimal ET sequence|legend=1| 22, 58, 80, 138cde, 204cde, 226ce, 240d, 262d, 284, 320, 342, 742, 764, 1084, 1106, 1448, 1506, 1848, 4038, 4802, 5144, 6992 }}

[[Badness]] (~~Smith~~): 0.~~297 × 10-3~~

[[Badness]] (Sintel): 0.358

== Sif ==

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: mapping generators: ~99/70, ~3

[[Optimal tuning]] ([[~~CTE~~]]): ~99/70 = 600.0000{{c}}, ~3/2 = 701.~~9492~~{{c}}, ~48/35 = 546.~~6041~~{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~99/70 = 599.9863{{c}}, ~3/2 = 701.9658{{c}}, ~48/35 = 546.5930{{c}}

: [[error map]]: {{val| -0.027 -0.017 +0.045 +0.052 +0.000 }}

* [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 701.9755{{c}}, ~48/35 = 546.6052{{c}}

: error map: {{val| 0.000 +0.021 +0.107 +0.124 +0.101 }}

{{Optimal ET sequence|legend=1| 22, 46, 68, 114, 134, 156, 178, 202, 224, 270, 494, 742, 764, 966, 1236, 1506, 2742, 3236, 3506, 4742d, 10990ccdde, 15732ccdddee }}

[[Badness]] (~~Smith~~): 0.~~423 × 10-3~~

[[Badness]] (Sintel): 0.508

=== 13-limit ===

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Mapping: {{mapping| 2 0 1 7 11 16 | 0 1 0 1 -1 -3 | 0 0 4 -5 -1 1 }}

Optimal ~~tuning (CTE)~~: ~99/70 = 600.0000{{c}}, ~3/2 = 701.~~9902~~{{c}}, ~48/35 = 546.~~6064~~{{c}}

Optimal tunings:

* WE: ~99/70 = 599.9857{{c}}, ~3/2 = 701.9705{{c}}, ~48/35 = 546.5927{{c}}

* CWE: ~99/70 = 600.0000{{c}}, ~3/2 = 701.9877{{c}}, ~48/35 = 546.6058{{c}}

{{Optimal ET sequence|legend=0| 22, 46, 156f, 178, 202f, 224, 270, 494, 764, 1012, 1236, 1506, 3236, 3506, 4742df, 6248cdf, 8248cdef, 12990ccddeff, 14496ccdddeeff }}

Badness (~~Smith~~): 0.~~339 × 10-3~~

Badness (Sintel): 0.317

== Loki ==

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: mapping generators: ~99/70, ~3, ~5

[[Optimal tuning]]s:

* [[WE]]: ~99/70 = 599.9481{{c}}, ~3/2 = 702.1195{{c}}, ~5/4 = 386.7636{{c}}

: [[error map]]: {{val| -0.104 +0.061 +0.242 -0.005 -0.128 }}

* [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 702.1647{{c}}, ~5/4 = 386.7768{{c}}

: error map: {{val| 0.000 +0.210 +0.463 +0.163 +0.119 }}

{{Optimal ET sequence|legend=1| 12, 22, 34d, 56d, 74d, 84de, 96d, 118, 130, 152, 248, 270, 670, 822, 940, 1092, 1362c, 2032c, 2302c }}

[[Badness]] (~~Smith~~): 0.~~493 × 10-3~~

[[Badness]] (Sintel): 0.592

== Pessoal ==

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: mapping generators: ~99/70, ~3, ~32/21

[[Optimal tuning]] ([[~~CTE~~]]): ~99/70 = 600.0000{{c}}, ~3/2 = 702.~~0759~~{{c}}, ~32/21 = 728.~~7910~~{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~99/70 = 599.9711{{c}}, ~3/2 = 702.0265{{c}}, ~32/21 = 728.7942{{c}}

: [[error map]]: {{val| -0.058 +0.014 +0.040 +0.122 -0.040 }}

* [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 702.0635{{c}}, ~32/21 = 728.8214{{c}}

: error map: {{val| 0.000 +0.109 +0.150 +0.289 +0.134 }}

{{Optimal ET sequence|legend=1| 36, 46, 84, 94, 130, 224, 270, 494, 764, 1164, 1658, 3586cd, 5244cdde, 6008bcdde }}

[[Badness]] (~~Smith~~): 0.~~499 × 10-3~~

[[Badness]] (Sintel): 0.599

=== 13-limit ===

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Mapping: {{mapping| 2 0 1 10 14 13 | 0 1 0 -1 -3 -1 | 0 0 3 -1 2 -2 }}

Optimal ~~tuning (CTE)~~: ~99/70 = 600.0000{{c}}, ~3/2 = 702.~~0637~~{{c}}, ~32/21 = 728.~~7786~~{{c}}

Optimal tunings:

* WE: ~99/70 = 599.9835{{c}}, ~3/2 = 702.0253{{c}}, ~32/21 = 728.7700{{c}}

* CWE: ~99/70 = 600.0000{{c}}, ~3/2 = 702.0477{{c}}, ~32/21 = 728.7882{{c}}

{{Optimal ET sequence|legend=0| 36, 46, 84, 94, 130, 224, 270, 494, 764, 1258, 1882d, 2152d }}

Badness (~~Smith~~): 0.~~391 × 10-3~~

Badness (Sintel): 0.366

== Linus ==

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: ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #Linus]].''

Linus [[tempering out|tempers out]] the [[linus comma]], {{monzo| 11 -10 -10 10 }} in the 7-limit and can be described as the 80 & 130 & 270 temperament. It tempers out 9801/9800 and 391314/390625 in the 11-limit; 1001/1000, 4225/4224, and 4459/4455 in the 13-limit. The 1/10-octave period interval represents 15/14, three of which represents 16/13, and five of which represents both 99/70 and 140/99.

Linus [[tempering out|tempers out]] the [[linus comma]], {{monzo| 11 -10 -10 10 }} in the 7-limit and can be described as the {{nowrap| 80 & 130 & 270 }} temperament. It tempers out 9801/9800 and 391314/390625 in the 11-limit; 1001/1000, 4225/4224, and 4459/4455 in the 13-limit. The 1/10-octave period interval represents 15/14, three of which represents 16/13, and five of which represents both 99/70 and 140/99.

[[Subgroup]]: 2.3.5.7.11

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[[Optimal tuning]] ([[~~CTE~~]]): ~15/14 = 120.0000{{c}}, ~3/2 = 702.~~0010~~{{c}}, ~5/4 = 386.~~5927~~{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~15/14 = 119.9975{{c}}, ~3/2 = 702.0188{{c}}, ~5/4 = 386.6399{{c}}

: [[error map]]: {{val| -0.025 +0.039 +0.276 -0.215 -0.143 }}

* [[CWE]]: ~15/14 = 120.0000{{c}}, ~3/2 = 702.0181{{c}}, ~5/4 = 386.6218{{c}}

: error map: {{val| 0.000 +0.063 +0.308 -0.186 -0.092 }}

{{Optimal ET sequence|legend=1| 50, 60e, 80, 130, 190, 270, 670, 940, 1130, 1400, 1800c, 2070c, 2340c }}

[[Badness]] (~~Smith~~): 1.~~12 × 10-3~~

[[Badness]] (Sintel): 1.34

=== 13-limit ===

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Mapping: {{mapping| 10 0 0 -11 4 37 | 0 1 0 1 -1 0 | 0 0 1 1 2 0 }}

Optimal ~~tuning (CTE)~~: ~15/14 = ~~1200~~.0000{{c}}, ~3/2 = ~~702~~.~~0010~~{{c}}, ~5/4 = 386.~~5928~~{{c}}

Optimal tunings:

* WE: ~15/14 = 120.0054{{c}}, ~3/2 = 701.9625{{c}}, ~5/4 = 386.4910{{c}}

* CWE: ~15/14 = 120.0000{{c}}, ~3/2 = 701.9533{{c}}, ~5/4 = 386.5119{{c}}

{{Optimal ET sequence|legend=0| 50, 60e, 80, 130, 190, 270, 590, 730, 860, 1130, 1590df, 1860def }}

Badness (~~Smith~~): 0.~~771 × 10-3~~

Badness (Sintel): 0.721

[[Category:Temperament collections]]

[[Category:Kalismic temperaments| ]]

[[Category:Rank 3]]

@@ Line 29: / Line 29: @@
 {{Mapping|legend=1| 6 0 0 8 17 | 0 1 0 -2 -4 | 0 0 1 2 3 }}
 : mapping generators: ~55/49, ~3, ~5
+[[Optimal tuning]]s:
+* [[WE]]: ~55/49 = 200.0008{{c}}, ~3/2 = 701.9318{{c}}, ~5/4 = 386.3342{{c}}
+: [[error map]]: {{val| +0.005 -0.018 +0.031 -0.004 -0.018 }}
+* [[CWE]]: ~55/49 = 200.0000{{c}}, ~3/2 = 701.9320{{c}}, ~5/4 = 386.3393{{c}}
+: error map: {{val| 0.000 -0.023 +0.026 -0.011 -0.028 }}
 {{Optimal ET sequence|legend=1| 12, 42, 48dee, 54c, 60e, 72, 198, 270, 342, 612, 954, 1236, 1506, 1578, 1848, 3426, 4038, 5616, 7464, 17118e, 18966e }}
-[[Badness]] (Smith): 0.116 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.140
 == Lycoris ==
@@ Line 39: / Line 45: @@
 [[Comma list]]: 9801/9800, 1771561/1771470
-{{Mapping|legend=1| 2 0 4 -6 1 | 0 1 1 3 2 | 0 0 -6 5 -1 }}
+{{Mapping|legend=1| 2 0 -2 1 0 | 0 1 1 3 2 | 0 0 6 -5 1 }}
-: mapping generators: ~99/70, ~3, ~81/70
+: mapping generators: ~99/70, ~3, ~11/9
-[[Optimal tuning]] ([[CTE]]): ~99/70 = 600.0000{{c}}, ~3/2 = 701.9439{{c}}, ~81/70 = 252.6028{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~99/70 = 600.0018{{c}}, ~3/2 = 701.9411{{c}}, ~11/9 = 347.3976{{c}}
+: [[error map]]: {{val| +0.004 -0.010 +0.013 -0.018 -0.031 }}
+* [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 701.9414{{c}}, ~11/9 = 347.3969{{c}}
+: error map: {{val| 0.000 -0.014 +0.009 +0.014 -0.038 }}
 {{Optimal ET sequence|legend=1| 152, 328, 342, 836, 1178, 1354, 1506, 1848, 2684, 4038, 4190, 4532, 11254, 15786e }}
-[[Badness]] (Smith): 0.249 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.299
 === Higanbana ===
@@ Line 53: / Line 63: @@
 Comma list: 9801/9800, 10648/10647, 1399680/1399489
-Mapping: {{mapping| 2 1 5 -3 3 8 | 0 2 2 6 4 1 | 0 0 -6 5 -1 4 }}
+Mapping: {{mapping| 2 1 -1 2 2 4 | 0 2 2 6 4 1 | 0 0 6 -5 1 4 }}
 : mapping generators: ~99/70, ~1458/1001, ~81/70
-Optimal tuning (CTE): ~99/70 = 600.0000{{c}}, ~1458/1001 = 650.9715{{c}}, ~81/70 = 252.6037{{c}}
+Optimal tunings:
+* WE: ~99/70 = 599.9996{{c}}, ~1458/1001 = 650.9717{{c}}, ~11/9 = 347.3963{{c}}
+* CWE: ~99/70 = 600.0000{{c}}, ~1458/1001 = 650.9718{{c}}, ~11/9 = 347.3964{{c}}
 {{Optimal ET sequence|legend=0| 166, 190, 304d, 328, 494, 684, 1012, 1178, 1506, 2190, 2684, 4190, 6380, 9064, 15938 }}
-Badness (Smith): 0.416 × 10<sup>-3</sup>
+Badness (Sintel): 0.389
 == Van gogh ==
@@ Line 68: / Line 80: @@
 {{Mapping|legend=1| 2 0 8 0 11 | 0 1 1 2 1 | 0 0 -9 -1 -10 }}
-: mapping generators: ~99/70, ~3, ~9/7
+: mapping generators: ~99/70, ~3, ~11/10
+[[Optimal tuning]]s:
+* [[WE]]: ~99/70 = 600.0022{{c}}, ~3/2 = 701.9464{{c}}, ~11/9 = 164.9319{{c}}
+: [[error map]]: {{val| +0.004 -0.004 +0.022 +0.005 -0.046 }}
+* [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 701.9469{{c}}, ~11/9 = 164.9316{{c}}
+: error map: {{val| 0.000 -0.008 +0.018 -0.000 -0.055 }}
 {{Optimal ET sequence|legend=1| 22, 58, 80, 138cde, 204cde, 226ce, 240d, 262d, 284, 320, 342, 742, 764, 1084, 1106, 1448, 1506, 1848, 4038, 4802, 5144, 6992 }}
-[[Badness]] (Smith): 0.297 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.358
 == Sif ==
@@ Line 82: / Line 100: @@
 : mapping generators: ~99/70, ~3
-[[Optimal tuning]] ([[CTE]]): ~99/70 = 600.0000{{c}}, ~3/2 = 701.9492{{c}}, ~48/35 = 546.6041{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~99/70 = 599.9863{{c}}, ~3/2 = 701.9658{{c}}, ~48/35 = 546.5930{{c}}
+: [[error map]]: {{val| -0.027 -0.017 +0.045 +0.052 +0.000 }}
+* [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 701.9755{{c}}, ~48/35 = 546.6052{{c}}
+: error map: {{val| 0.000 +0.021 +0.107 +0.124 +0.101 }}
 {{Optimal ET sequence|legend=1| 22, 46, 68, 114, 134, 156, 178, 202, 224, 270, 494, 742, 764, 966, 1236, 1506, 2742, 3236, 3506, 4742d, 10990ccdde, 15732ccdddee }}
-[[Badness]] (Smith): 0.423 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.508
 === 13-limit ===
@@ Line 95: / Line 117: @@
 Mapping: {{mapping| 2 0 1 7 11 16 | 0 1 0 1 -1 -3 | 0 0 4 -5 -1 1 }}
-Optimal tuning (CTE): ~99/70 = 600.0000{{c}}, ~3/2 = 701.9902{{c}}, ~48/35 = 546.6064{{c}}
+Optimal tunings:
+* WE: ~99/70 = 599.9857{{c}}, ~3/2 = 701.9705{{c}}, ~48/35 = 546.5927{{c}}
+* CWE: ~99/70 = 600.0000{{c}}, ~3/2 = 701.9877{{c}}, ~48/35 = 546.6058{{c}}
 {{Optimal ET sequence|legend=0| 22, 46, 156f, 178, 202f, 224, 270, 494, 764, 1012, 1236, 1506, 3236, 3506, 4742df, 6248cdf, 8248cdef, 12990ccddeff, 14496ccdddeeff }}
-Badness (Smith): 0.339 × 10<sup>-3</sup>
+Badness (Sintel): 0.317
 == Loki ==
@@ Line 108: / Line 132: @@
 {{Mapping|legend=1| 2 0 0 -21 -18 | 0 1 0 4 2 | 0 0 1 3 4 }}
 : mapping generators: ~99/70, ~3, ~5
+[[Optimal tuning]]s:
+* [[WE]]: ~99/70 = 599.9481{{c}}, ~3/2 = 702.1195{{c}}, ~5/4 = 386.7636{{c}}
+: [[error map]]: {{val| -0.104 +0.061 +0.242 -0.005 -0.128 }}
+* [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 702.1647{{c}}, ~5/4 = 386.7768{{c}}
+: error map: {{val| 0.000 +0.210 +0.463 +0.163 +0.119 }}
 {{Optimal ET sequence|legend=1| 12, 22, 34d, 56d, 74d, 84de, 96d, 118, 130, 152, 248, 270, 670, 822, 940, 1092, 1362c, 2032c, 2302c }}
-[[Badness]] (Smith): 0.493 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.592
 == Pessoal ==
@@ Line 123: / Line 153: @@
 : mapping generators: ~99/70, ~3, ~32/21
-[[Optimal tuning]] ([[CTE]]): ~99/70 = 600.0000{{c}}, ~3/2 = 702.0759{{c}}, ~32/21 = 728.7910{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~99/70 = 599.9711{{c}}, ~3/2 = 702.0265{{c}}, ~32/21 = 728.7942{{c}}
+: [[error map]]: {{val| -0.058 +0.014 +0.040 +0.122 -0.040 }}
+* [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 702.0635{{c}}, ~32/21 = 728.8214{{c}}
+: error map: {{val| 0.000 +0.109 +0.150 +0.289 +0.134 }}
 {{Optimal ET sequence|legend=1| 36, 46, 84, 94, 130, 224, 270, 494, 764, 1164, 1658, 3586cd, 5244cdde, 6008bcdde }}
-[[Badness]] (Smith): 0.499 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.599
 === 13-limit ===
@@ Line 136: / Line 170: @@
 Mapping: {{mapping| 2 0 1 10 14 13 | 0 1 0 -1 -3 -1 | 0 0 3 -1 2 -2 }}
-Optimal tuning (CTE): ~99/70 = 600.0000{{c}}, ~3/2 = 702.0637{{c}}, ~32/21 = 728.7786{{c}}
+Optimal tunings:
+* WE: ~99/70 = 599.9835{{c}}, ~3/2 = 702.0253{{c}}, ~32/21 = 728.7700{{c}}
+* CWE: ~99/70 = 600.0000{{c}}, ~3/2 = 702.0477{{c}}, ~32/21 = 728.7882{{c}}
 {{Optimal ET sequence|legend=0| 36, 46, 84, 94, 130, 224, 270, 494, 764, 1258, 1882d, 2152d }}
-Badness (Smith): 0.391 × 10<sup>-3</sup>
+Badness (Sintel): 0.366
 == Linus ==
@@ Line 146: / Line 182: @@
 : ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #Linus]].''
-Linus [[tempering out|tempers out]] the [[linus comma]], {{monzo| 11 -10 -10 10 }} in the 7-limit and can be described as the 80 & 130 & 270 temperament. It tempers out 9801/9800 and 391314/390625 in the 11-limit; 1001/1000, 4225/4224, and 4459/4455 in the 13-limit. The 1/10-octave period interval represents 15/14, three of which represents 16/13, and five of which represents both 99/70 and 140/99.
+Linus [[tempering out|tempers out]] the [[linus comma]], {{monzo| 11 -10 -10 10 }} in the 7-limit and can be described as the {{nowrap| 80 & 130 & 270 }} temperament. It tempers out 9801/9800 and 391314/390625 in the 11-limit; 1001/1000, 4225/4224, and 4459/4455 in the 13-limit. The 1/10-octave period interval represents 15/14, three of which represents 16/13, and five of which represents both 99/70 and 140/99.
 [[Subgroup]]: 2.3.5.7.11
@@ Line 154: / Line 190: @@
 {{Mapping|legend=1| 10 0 0 -11 4 | 0 1 0 1 -1 | 0 0 1 1 2 }}
-[[Optimal tuning]] ([[CTE]]): ~15/14 = 120.0000{{c}}, ~3/2 = 702.0010{{c}}, ~5/4 = 386.5927{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~15/14 = 119.9975{{c}}, ~3/2 = 702.0188{{c}}, ~5/4 = 386.6399{{c}}
+: [[error map]]: {{val| -0.025 +0.039 +0.276 -0.215 -0.143 }}
+* [[CWE]]: ~15/14 = 120.0000{{c}}, ~3/2 = 702.0181{{c}}, ~5/4 = 386.6218{{c}}
+: error map: {{val| 0.000 +0.063 +0.308 -0.186 -0.092 }}
 {{Optimal ET sequence|legend=1| 50, 60e, 80, 130, 190, 270, 670, 940, 1130, 1400, 1800c, 2070c, 2340c }}
-[[Badness]] (Smith): 1.12 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 1.34
 === 13-limit ===
@@ Line 167: / Line 207: @@
 Mapping: {{mapping| 10 0 0 -11 4 37 | 0 1 0 1 -1 0 | 0 0 1 1 2 0 }}
-Optimal tuning (CTE): ~15/14 = 1200.0000{{c}}, ~3/2 = 702.0010{{c}}, ~5/4 = 386.5928{{c}}
+Optimal tunings:
+* WE: ~15/14 = 120.0054{{c}}, ~3/2 = 701.9625{{c}}, ~5/4 = 386.4910{{c}}
+* CWE: ~15/14 = 120.0000{{c}}, ~3/2 = 701.9533{{c}}, ~5/4 = 386.5119{{c}}
 {{Optimal ET sequence|legend=0| 50, 60e, 80, 130, 190, 270, 590, 730, 860, 1130, 1590df, 1860def }}
-Badness (Smith): 0.771 × 10<sup>-3</sup>
+Badness (Sintel): 0.721
 [[Category:Temperament collections]]
 [[Category:Kalismic temperaments| ]] <!-- main article -->
 [[Category:Rank 3]]

Kalismic temperaments: Difference between revisions

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