Mirkwai family: Difference between revisions

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The '''mirkwai family''' of [[planar temperament]]s tempers out the [[mirkwai comma]], 16875/16807.

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: [[Eigenmonzo]]s (unchanged-intervals): 2, 10/9, 8/7

[[Badness]]: 0.342 × 10-3

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: [[Eigenmonzo]]s (unchanged-intervals): 2, 11/9, 5/4

{{Optimal ET sequence|legend=1| 31, 41, 72, 152, 224, 631d, 855d }}

[[Badness]]: 0.266 × 10-3

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Mapping: [{{val| 1 0 0 0 2 -3 }}, {{val| 0 1 3 3 0 3 }}, {{val| 0 0 -5 -4 4 }}]

Optimal ~~GPV~~ sequence~~: {{Val list~~| 31f, 39df, 41, 72, 111, 152f, 183, 224, 631d, 855d }}

{{Optimal ET sequence|legend=1| 31f, 39df, 41, 72, 111, 152f, 183, 224, 631d, 855d }}

Badness: 0.721 × 10-3

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: [[Eigenmonzo]]s (unchanged-intervals): 2, 14/13, 4/3

Optimal ~~GPV~~ sequence~~: {{Val list~~| 31, 49f, 72, 103, 121, 152f, 193, 224 }}

{{Optimal ET sequence|legend=1| 31, 49f, 72, 103, 121, 152f, 193, 224 }}

Badness: 0.700 × 10-3

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Mapping: [{{val| 1 0 0 0 2 1 }}, {{val| 0 1 3 3 0 6 }}, {{val| 0 0 -5 -4 3 -14 }}]

Optimal ~~GPV~~ sequence~~: {{Val list~~| 31, 64cdf, 72, 103, 111, 152, 175f, 183, 469f }}

{{Optimal ET sequence|legend=1| 31, 64cdf, 72, 103, 111, 152, 175f, 183, 469f }}

Badness: 0.826 × 10-3

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Mapping: [{{val| 1 0 0 0 2 2 }}, {{val| 0 1 3 3 0 -2 }}, {{val| 0 0 -5 -4 3 10 }}]

Optimal ~~GPV~~ sequence~~: {{Val list~~| 31f, 41, 72, 121, 193 }}

Badness: 0.930 × 10-3

[[Category:Temperament families]]

[[Category:Pages with mostly numerical content]]

[[Category:Mirkwai family]]

[[Category:Rank 3]]

@@ Line 1: / Line 1: @@
+{{Technical data page}}
 The '''mirkwai family''' of [[planar temperament]]s tempers out the [[mirkwai comma]], 16875/16807.
@@ Line 18: / Line 19: @@
 : [[Eigenmonzo]]s (unchanged-intervals): 2, 10/9, 8/7
-{{Val list|legend=1| 31, 41, 72, 152, 224 }}
+{{Optimal ET sequence|legend=1| 31, 41, 72, 152, 224 }}
 [[Badness]]: 0.342 × 10<sup>-3</sup>
@@ Line 44: / Line 45: @@
 : [[Eigenmonzo]]s (unchanged-intervals): 2, 11/9, 5/4
-{{Val list|legend=1| 31, 41, 72, 152, 224, 631d, 855d }}
+{{Optimal ET sequence|legend=1| 31, 41, 72, 152, 224, 631d, 855d }}
 [[Badness]]: 0.266 × 10<sup>-3</sup>
@@ Line 59: / Line 60: @@
 Mapping: [{{val| 1 0 0 0 2 -3 }}, {{val| 0 1 3 3 0 3 }}, {{val| 0 0 -5 -4 4 }}]
-Optimal GPV sequence: {{Val list| 31f, 39df, 41, 72, 111, 152f, 183, 224, 631d, 855d }}
+{{Optimal ET sequence|legend=1| 31f, 39df, 41, 72, 111, 152f, 183, 224, 631d, 855d }}
 Badness: 0.721 × 10<sup>-3</sup>
@@ Line 80: / Line 81: @@
 : [[Eigenmonzo]]s (unchanged-intervals): 2, 14/13, 4/3
-Optimal GPV sequence: {{Val list| 31, 49f, 72, 103, 121, 152f, 193, 224 }}
+{{Optimal ET sequence|legend=1| 31, 49f, 72, 103, 121, 152f, 193, 224 }}
 Badness: 0.700 × 10<sup>-3</sup>
@@ Line 91: / Line 92: @@
 Mapping: [{{val| 1 0 0 0 2 1 }}, {{val| 0 1 3 3 0 6 }}, {{val| 0 0 -5 -4 3 -14 }}]
-Optimal GPV sequence: {{Val list| 31, 64cdf, 72, 103, 111, 152, 175f, 183, 469f }}
+{{Optimal ET sequence|legend=1| 31, 64cdf, 72, 103, 111, 152, 175f, 183, 469f }}
 Badness: 0.826 × 10<sup>-3</sup>
@@ Line 102: / Line 103: @@
 Mapping: [{{val| 1 0 0 0 2 2 }}, {{val| 0 1 3 3 0 -2 }}, {{val| 0 0 -5 -4 3 10 }}]
-Optimal GPV sequence: {{Val list| 31f, 41, 72, 121, 193 }}
+{{Optimal ET sequence|legend=1| 31f, 41, 72, 121, 193 }}
 Badness: 0.930 × 10<sup>-3</sup>
 [[Category:Temperament families]]
+[[Category:Pages with mostly numerical content]]
 [[Category:Mirkwai family]] <!-- main article -->
 [[Category:Rank 3]]