Keemic temperaments: Difference between revisions

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 {{Technical data page}}<br><br>
-These temper out the keema, {{monzo| -5 -3 3 1 }} = [[875/864]]. Keemic temperaments include [[Jubilismic clan #Doublewide|doublewide]], [[Meantone family #Flattone|flattone]], [[Porcupine family #Septimal porcupine|porcupine]], [[Shibboleth family #Superkleismic|superkleismic]], [[Magic family #Septimal magic|magic]], [[Kleismic family #Keemun|keemun]], and [[Sycamore family #Septimal sycamore|sycamore]]. Discussed below are quasitemp, chromo, undeka, barbad, hyperkleismic, and sevond.
+These temper out the keema, {{monzo| -5 -3 3 1 }} = [[875/864]]. Keemic temperaments include [[Jubilismic clan #Doublewide|doublewide]], [[Meantone family #Flattone|flattone]], [[Porcupine family #Septimal porcupine|porcupine]], [[Shibboleth family #Superkleismic|superkleismic]], [[Magic family #Septimal magic|magic]], [[Kleismic family #Keemun|keemun]], [[11th-octave temperaments #Undeka|undeka]], and [[Sycamore family #Septimal sycamore|sycamore]]. Discussed below are quasitemp, chromo, barbad, hyperkleismic, and sevond.
 == Quasitemp ==
-: ''For the 5-limit version of this temperament, see [[High badness temperaments #Quasitemp]].''
+: ''For the 5-limit version of this temperament, see [[Miscellaneous 5-limit temperaments #Quasitemp]].''
 [[Subgroup]]: 2.3.5.7
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 {{Mapping|legend=1| 1 5 5 5 | 0 -14 -11 -9 }}
-: mapping generators: ~2, ~25/21
+: Mapping generators: ~2, ~25/21
 {{Multival|legend=1| 14 11 9 -15 -25 -10 }}
@@ Line 85: / Line 85: @@
 {{Mapping|legend=1| 1 1 2 2 | 0 13 7 18 }}
-: mapping generators: ~2, ~25/24
+: Mapping generators: ~2, ~25/24
 [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~25/24 = 53.816
@@ Line 92: / Line 92: @@
 [[Badness]]: 0.090769
-== Undeka ==
-: ''For the 5-limit version of this temperament, see [[High badness temperaments #Undeka]].''
-[[Subgroup]]: 2.3.5.7
-[[Comma list]]: 875/864, 3200/3087
-{{Mapping|legend=1| 11 0 8 31 | 0 1 1 0 }}
-: mapping generators: ~21/20, ~3
-{{Multival|legend=1| 11 11 0 -8 -31 -31 }}
-[[Optimal tuning]] ([[POTE]]): ~21/20 = 1\11, ~3/2 = 708.792
-{{Optimal ET sequence|legend=1| 11c, 22 }}
-[[Badness]]: 0.141782
-=== 11-limit ===
-Subgroup: 2.3.5.7.11
-Comma list: 100/99, 352/343, 385/384
-Mapping: {{mapping| 11 0 8 31 38 | 0 1 1 0 0 }}
-Optimal tuning (POTE): ~21/20 = 1\11, ~3/2 = 706.768
-{{Optimal ET sequence|legend=1| 11c, 22 }}
-Badness: 0.068672
-=== 13-limit ===
-Subgroup: 2.3.5.7.11.13
-Comma list: 65/63, 100/99, 169/165, 352/343
-Mapping: {{mapping| 11 0 8 31 38 23 | 0 1 1 0 0 1 }}
-Optimal tuning (POTE): ~13/12 = 1\11, ~3/2 = 707.764
-{{Optimal ET sequence|legend=1| 11cf, 22 }}
-Badness: 0.056528
 == Barbad ==
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 {{Mapping|legend=1| 1 9 7 11 | 0 -19 -12 -21 }}
-: mapping generators: ~2, ~98/75
+: Mapping generators: ~2, ~98/75
 {{Multival|legend=1| 19 12 21 -25 -20 15 }}
@@ Line 188: / Line 143: @@
 {{Mapping|legend=1| 1 -3 -2 2 | 0 17 16 3 }}
-: mapping generators: ~2, ~6/5
+: Mapping generators: ~2, ~6/5
 {{Multival|legend=1| 17 16 3 -14 -43 -38 }}
@@ Line 233: / Line 188: @@
 {{Mapping|legend=1| 7 0 -6 53 | 0 1 2 -3 }}
-: mapping generators: ~10/9, ~3
+: Mapping generators: ~10/9, ~3
 [[Optimal tuning]] ([[POTE]]): ~10/9 = 1\7, ~3/2 = 705.613