Mirwomo temperaments: Difference between revisions

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This is a collection of [[rank-2 temperament|rank-2]] [[regular temperament|temperaments]] [[tempering out]] the [[mirwomo comma]], ({{monzo|legend=1| -15 3 2 2 }}, [[ratio]]: 33075/32768). For the rank-3 temperament, see [[Mirwomo ~~family~~]].

This is a collection of [[rank-2 temperament|rank-2]] [[regular temperament|temperaments]] [[tempering out]] the [[mirwomo comma]], ({{monzo|legend=1| -15 3 2 2 }}, [[ratio]]: 33075/32768). For the rank-3 temperament, see [[Rastmic rank-3 clan #Mirwomo]].

Temperaments dicussed elsewhere are:

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* ''[[Worschmidt]]'' (+126/125) → [[Würschmidt family #Worschmidt|Würschmidt family]]

* ''[[Aurora]]'' (+1029/1000) → [[Keegic temperaments #Aurora|Keegic temperaments]]

* ''[[Whitewood]]'' (+36/35) → [[Whitewood family #Septimal whitewood|Whitewood family]]

* [[Whitewood]] (+36/35) → [[Whitewood family #Septimal whitewood|Whitewood family]]

* ''[[Hours]]'' (+19683/19600) → [[Compton family #Hours|Compton family]]

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[[Comma list]]: 33075/32768, 250047/250000

: mapping generators: ~63/50, ~~~126~~/~~125~~

: mapping generators: ~63/50, ~5/4

[[Optimal tuning]]s:

* [[~~CTE~~]]: ~63/50 = 400.~~000~~{{c}}, ~5/4 = 383.~~425~~{{c}}

* [[WE]]: ~63/50 = 400.2698{{c}}, ~5/4 = 383.6637{{c}}

* [[CWE]]: ~63/50 = 400.~~000~~{{c}}, ~5/4 = 383.~~409~~{{c}}

: [[error map]]: {{val| +0.809 -0.242 -1.031 -0.607 }}

* [[CWE]]: ~63/50 = 400.0000{{c}}, ~5/4 = 383.4090{{c}}

: error map: {{val| 0.000 -1.501 -2.905 -2.916 }}

{{Optimal ET sequence|legend=1| 3, 69, 72, 363cdd, 435ccdd, …, 651bcccddd }}

[[Badness]] (Sintel): 4.03

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Comma list: 441/440, 4125/4096, 4375/4356

Mapping: {{mapping| 3 ~~5 7 8 10~~ | 0 -6 -1 10 9 }}

Mapping: {{mapping| 3 -1 6 18 19 | 0 6 1 -10 -9 }}

Optimal tunings:

* ~~CTE~~: ~44/35 = 400.~~000~~{{c}}, ~5/4 = 383.~~377~~{{c}}

* WE: ~44/35 = 400.2557{{c}}, ~5/4 = 383.6664{{c}}

* CWE: ~44/35 = 400.~~000~~{{c}}, ~5/4 = 383.~~414~~{{c}}

* CWE: ~44/35 = 400.0000{{c}}, ~5/4 = 383.4138{{c}}

{{Optimal ET sequence|legend=0| 3, 69, 72, 291cde, 363cdde, ~~435ccdde~~, ~~507bccdde~~ }}

{{Optimal ET sequence|legend=0| 3, 69, 72, 291cde, 363cdde, …, 579bccddee }}

Badness (Sintel): 1.75

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Comma list: 169/168, 364/363, 441/440, 625/624

Mapping: {{mapping| 3 ~~5 7 8 10 11~~ | 0 -6 -1 10 9 2 }}

Mapping: {{mapping| 3 -1 6 18 19 13 | 0 6 1 -10 -9 -2 }}

Optimal tunings:

* ~~CTE~~: ~44/35 = 400.~~000~~{{c}}, ~5/4 = 383.~~346~~{{c}}

* WE: ~44/35 = 400.3228{{c}}, ~5/4 = 383.7260{{c}}

* CWE: ~44/35 = 400.~~000~~{{c}}, ~5/4 = 383.~~406~~{{c}}

* CWE: ~44/35 = 400.0000{{c}}, ~5/4 = 383.4063{{c}}

@@ Line 1: / Line 1: @@
 {{Technical data page}}
-This is a collection of [[rank-2 temperament|rank-2]] [[regular temperament|temperaments]] [[tempering out]] the [[mirwomo comma]], ({{monzo|legend=1| -15 3 2 2 }}, [[ratio]]: 33075/32768). For the rank-3 temperament, see [[Mirwomo family]].
+This is a collection of [[rank-2 temperament|rank-2]] [[regular temperament|temperaments]] [[tempering out]] the [[mirwomo comma]], ({{monzo|legend=1| -15 3 2 2 }}, [[ratio]]: 33075/32768). For the rank-3 temperament, see [[Rastmic rank-3 clan #Mirwomo]].
 Temperaments dicussed elsewhere are:
@@ Line 13: / Line 13: @@
 * ''[[Worschmidt]]'' (+126/125) → [[Würschmidt family #Worschmidt|Würschmidt family]]
 * ''[[Aurora]]'' (+1029/1000) → [[Keegic temperaments #Aurora|Keegic temperaments]]
-* ''[[Whitewood]]'' (+36/35) → [[Whitewood family #Septimal whitewood|Whitewood family]]
+* [[Whitewood]] (+36/35) → [[Whitewood family #Septimal whitewood|Whitewood family]]
 * ''[[Hours]]'' (+19683/19600) → [[Compton family #Hours|Compton family]]
@@ Line 23: / Line 23: @@
 [[Comma list]]: 33075/32768, 250047/250000
-{{Mapping|legend=1| 3 5 7 8 | 0 -6 -1 10 }}
+{{Mapping|legend=1| 3 -1 6 18 | 0 6 1 -10 }}
-: mapping generators: ~63/50, ~126/125
+: mapping generators: ~63/50, ~5/4
 [[Optimal tuning]]s:
-* [[CTE]]: ~63/50 = 400.000{{c}}, ~5/4 = 383.425{{c}}
+* [[WE]]: ~63/50 = 400.2698{{c}}, ~5/4 = 383.6637{{c}}
-* [[CWE]]: ~63/50 = 400.000{{c}}, ~5/4 = 383.409{{c}}
+: [[error map]]: {{val| +0.809 -0.242 -1.031 -0.607 }}
+* [[CWE]]: ~63/50 = 400.0000{{c}}, ~5/4 = 383.4090{{c}}
+: error map: {{val| 0.000 -1.501 -2.905 -2.916 }}
-{{Optimal ET sequence|legend=1| 3, 69, 72 }}
+{{Optimal ET sequence|legend=1| 3, 69, 72, 363cdd, 435ccdd, …, 651bcccddd }}
 [[Badness]] (Sintel): 4.03
@@ Line 39: / Line 41: @@
 Comma list: 441/440, 4125/4096, 4375/4356
-Mapping: {{mapping| 3 5 7 8 10 | 0 -6 -1 10 9 }}
+Mapping: {{mapping| 3 -1 6 18 19 | 0 6 1 -10 -9 }}
 Optimal tunings:
-* CTE: ~44/35 = 400.000{{c}}, ~5/4 = 383.377{{c}}
+* WE: ~44/35 = 400.2557{{c}}, ~5/4 = 383.6664{{c}}
-* CWE: ~44/35 = 400.000{{c}}, ~5/4 = 383.414{{c}}
+* CWE: ~44/35 = 400.0000{{c}}, ~5/4 = 383.4138{{c}}
-{{Optimal ET sequence|legend=0| 3, 69, 72, 291cde, 363cdde, 435ccdde, 507bccdde }}
+{{Optimal ET sequence|legend=0| 3, 69, 72, 291cde, 363cdde, …, 579bccddee }}
 Badness (Sintel): 1.75
@@ Line 54: / Line 56: @@
 Comma list: 169/168, 364/363, 441/440, 625/624
-Mapping: {{mapping| 3 5 7 8 10 11 | 0 -6 -1 10 9 2 }}
+Mapping: {{mapping| 3 -1 6 18 19 13 | 0 6 1 -10 -9 -2 }}
 Optimal tunings:
-* CTE: ~44/35 = 400.000{{c}}, ~5/4 = 383.346{{c}}
+* WE: ~44/35 = 400.3228{{c}}, ~5/4 = 383.7260{{c}}
-* CWE: ~44/35 = 400.000{{c}}, ~5/4 = 383.406{{c}}
+* CWE: ~44/35 = 400.0000{{c}}, ~5/4 = 383.4063{{c}}
 {{Optimal ET sequence|legend=0| 3, 69, 72 }}