Luna family: Difference between revisions

Line 32:

[[Minimax tuning]]:

* [[7-odd-limit]]

* [[7-odd-limit]]: ~28/25 = {{monzo| 1/10 -1/20 0 1/20 }}

: [{{monzo| 1 0 0 0 }}, {{monzo| 5/2 3/4 0 -3/4 }}, {{monzo| 11/5 -1/10 0 1/10 }}, {{monzo| 5/2 -1/4 0 1/4 }}]

: [[Eigenmonzo]]s (unchanged intervals): 2, 7/6

* [[9-odd-limit]]

* [[9-odd-limit]]: ~28/25 = {{monzo| 6/35 -2/35 0 1/35 }}

: [{{monzo| 1 0 0 0 }}, {{monzo| 10/7 6/7 0 -3/7 }}, {{monzo| 82/35 -4/35 0 2/35 }}, {{monzo| 20/7 -2/7 0 1/7 }}]

: [[Eigenmonzo]]s (unchanged intervals): 2, 7/6

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

Line 53:

Minimax tuning:

* 11-odd-limit

* 11-odd-limit: ~28/25 = {{monzo| 5/27 0 0 1/27 -1/27 }}

: [{{monzo| 1 0 0 0 0 }}, {{monzo| 11/9 0 0 -5/9 5/9 }}, {{monzo| 64/27 0 0 2/27 -2/27 }}, {{monzo| 79/27 0 0 5/27 -5/27 }}, {{monzo| 79/27 0 0 -22/27 22/27 }}]

: Eigenmonzos (unchanged intervals): 2, 11/7

~~Vals~~: {{Val list| 25e, 31, 87, 118 }}

Optimal GPV sequence: {{Val list| 25e, 31, 87, 118 }}

Badness: 0.019003

Line 70:

POTE generator: ~28/25 = 193.166

~~Vals~~: {{Val list| 31, 56, 87, 118, 205d }}

Optimal GPV sequence: {{Val list| 31, 56, 87, 118, 205d }}

Badness: 0.021738

Line 98:

POTE generator: ~352/315 = 193.200

~~Vals~~: {{Val list| 118, 323e, 441, 559, 1000e }}

Optimal GPV sequence: {{Val list| 118, 323e, 441, 559, 1000e }}

Badness: 0.058588

Line 128:

POTE generator: ~200/189 = 96.587

~~Vals~~: {{Val list| 87, 236, 323, 410 }}

Optimal GPV sequence: {{Val list| 87, 236, 323, 410 }}

Badness: 0.100077

Line 141:

POTE generator: ~143/135 = 96.586

~~Vals~~: {{Val list| 87, 236, 323, 410 }}

Optimal GPV sequence: {{Val list| 87, 236, 323, 410 }}

Badness: 0.046151

Line 171:

POTE generator: ~121/108 = 193.1732

~~Vals~~: {{Val list| 56d, 118, 292, 410 }}

Optimal GPV sequence: {{Val list| 56d, 118, 292, 410 }}

Badness: 0.067783

@@ Line 32: / Line 32: @@
 [[Minimax tuning]]:
-* [[7-odd-limit]]
+* [[7-odd-limit]]: ~28/25 = {{monzo| 1/10 -1/20 0 1/20 }}
 : [{{monzo| 1 0 0 0 }}, {{monzo| 5/2 3/4 0 -3/4 }}, {{monzo| 11/5 -1/10 0 1/10 }}, {{monzo| 5/2 -1/4 0 1/4 }}]
 : [[Eigenmonzo]]s (unchanged intervals): 2, 7/6
-* [[9-odd-limit]]
+* [[9-odd-limit]]: ~28/25 = {{monzo| 6/35 -2/35 0 1/35 }}
 : [{{monzo| 1 0 0 0 }}, {{monzo| 10/7 6/7 0 -3/7 }}, {{monzo| 82/35 -4/35 0 2/35 }}, {{monzo| 20/7 -2/7 0 1/7 }}]
-: [[Eigenmonzo]]s (unchanged intervals): 2, 7/6
+: [[Eigenmonzo]]s (unchanged intervals): 2, 9/7
 {{Val list|legend=1| 25, 31, 87, 118 }}
@@ Line 53: / Line 53: @@
 Minimax tuning:
-* 11-odd-limit
+* 11-odd-limit: ~28/25 = {{monzo| 5/27 0 0 1/27 -1/27 }}
 : [{{monzo| 1 0 0 0 0 }}, {{monzo| 11/9 0 0 -5/9 5/9 }}, {{monzo| 64/27 0 0 2/27 -2/27 }}, {{monzo| 79/27 0 0 5/27 -5/27 }}, {{monzo| 79/27 0 0 -22/27 22/27 }}]
 : Eigenmonzos (unchanged intervals): 2, 11/7
-Vals: {{Val list| 25e, 31, 87, 118 }}
+Optimal GPV sequence: {{Val list| 25e, 31, 87, 118 }}
 Badness: 0.019003
@@ Line 70: / Line 70: @@
 POTE generator: ~28/25 = 193.166
-Vals: {{Val list| 31, 56, 87, 118, 205d }}
+Optimal GPV sequence: {{Val list| 31, 56, 87, 118, 205d }}
 Badness: 0.021738
@@ Line 98: / Line 98: @@
 POTE generator: ~352/315 = 193.200
-Vals: {{Val list| 118, 323e, 441, 559, 1000e }}
+Optimal GPV sequence: {{Val list| 118, 323e, 441, 559, 1000e }}
 Badness: 0.058588
@@ Line 128: / Line 128: @@
 POTE generator: ~200/189 = 96.587
-Vals: {{Val list| 87, 236, 323, 410 }}
+Optimal GPV sequence: {{Val list| 87, 236, 323, 410 }}
 Badness: 0.100077
@@ Line 141: / Line 141: @@
 POTE generator: ~143/135 = 96.586
-Vals: {{Val list| 87, 236, 323, 410 }}
+Optimal GPV sequence: {{Val list| 87, 236, 323, 410 }}
 Badness: 0.046151
@@ Line 171: / Line 171: @@
 POTE generator: ~121/108 = 193.1732
-Vals: {{Val list| 56d, 118, 292, 410 }}
+Optimal GPV sequence: {{Val list| 56d, 118, 292, 410 }}
 Badness: 0.067783