Marvel family: Difference between revisions

Ordering (strong ext up, weak ext down)
m Save "mapping generators" for strong exts; instead add for weak exts; links cleanup
Line 34: Line 34:
[[Comma list]]: c = 225/224
[[Comma list]]: c = 225/224


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


Mapping generators: ~2, ~3, ~5
Mapping generators: ~2, ~3, ~5
Line 44: Line 44:
: Angle (secor, 3/2) = 106.958 degrees
: Angle (secor, 3/2) = 106.958 degrees


Minimax tuning:  
[[Minimax tuning]]:  
* 7-odd-limit: 3 and 5 1/4c flat, 7 just
* 7-odd-limit: 3 and 5 1/4c flat, 7 just
: [{{monzo| 1 0 0 0 }}, {{monzo| 5/4 1/2 -1/2 1/4 }}, {{monzo| 5/4 -1/2 1/2 1/4 }}, {{monzo| 0 0 0 1 }}]
: [{{monzo| 1 0 0 0 }}, {{monzo| 5/4 1/2 -1/2 1/4 }}, {{monzo| 5/4 -1/2 1/2 1/4 }}, {{monzo| 0 0 0 1 }}]
Line 54: Line 54:
{{Val list|legend=1| 10, 12, 19, 22, 31, 41, 72, 197, 269c }}
{{Val list|legend=1| 10, 12, 19, 22, 31, 41, 72, 197, 269c }}


Badness: 0.0365 × 10<sup>-3</sup>
[[Badness]]: 0.0365 × 10<sup>-3</sup>


[[Projection pair]]s: 7 225/32
[[Projection pair]]s: 7 225/32
Line 110: Line 110:
[[Comma list]]: 225/224, 385/384
[[Comma list]]: 225/224, 385/384


Mapping: [{{val| 1 0 0 -5 12 }}, {{val| 0 1 0 2 -1 }}, {{val| 0 0 1 2 -3 }}]
[[Mapping]]: [{{val| 1 0 0 -5 12 }}, {{val| 0 1 0 2 -1 }}, {{val| 0 0 1 2 -3 }}]
 
Mapping generators: ~2, ~3, ~5


Map to lattice: [{{val| 0 -1 0 -2 1 }}, {{val| 0 -1 1 0 -2 }}]
Map to lattice: [{{val| 0 -1 0 -2 1 }}, {{val| 0 -1 1 0 -2 }}]
Line 127: Line 125:
{{Val list|legend=1| 10, 12e, 19, 22, 31, 41, 53, 72, 166, 197e, 269ce, 341ce }}
{{Val list|legend=1| 10, 12e, 19, 22, 31, 41, 53, 72, 166, 197e, 269ce, 341ce }}


Badness: 0.255 × 10<sup>-3</sup>
[[Badness]]: 0.255 × 10<sup>-3</sup>


[[Projection pair]]s: 7 225/32 11 4096/375
[[Projection pair]]s: 7 225/32 11 4096/375
Line 374: Line 372:


Comma list: 105/104, 144/143, 196/195
Comma list: 105/104, 144/143, 196/195
Mapping: [{{val| 1 0 0 -5 12 -8 }}, {{val| 0 1 0 2 -1 3 }}, {{val| 0 0 1 2 -3 3 }}]


Minimax tuning:  
Minimax tuning:  
* 13-odd-limit eigenmonzo subgroup: 2.9/7.13/11
* 13-odd-limit eigenmonzo subgroup: 2.9/7.13/11
* 15-odd-limit eigenmonzo subgroup: 2.5/3.13/11
* 15-odd-limit eigenmonzo subgroup: 2.5/3.13/11
Mapping: [{{val| 1 0 0 -5 12 -8 }}, {{val| 0 1 0 2 -1 3 }}, {{val| 0 0 1 2 -3 3 }}]


{{Val list|legend=1| 9, 10, 19, 22f, 31, 41, 72f, 122f, 163df }}
{{Val list|legend=1| 9, 10, 19, 22f, 31, 41, 72f, 122f, 163df }}
Line 438: Line 436:


[[Mapping]]: [{{val| 1 0 0 -5 -9 }}, {{val| 0 1 0 2 2 }}, {{val| 0 0 1 2 4 }}]
[[Mapping]]: [{{val| 1 0 0 -5 -9 }}, {{val| 0 1 0 2 2 }}, {{val| 0 0 1 2 4 }}]
Mapping generators: ~2, ~3, ~5


Map to lattice: [{{val| 0 -1 0 -2 -2 }}, {{val| 0 -1 1 0 2 }}]
Map to lattice: [{{val| 0 -1 0 -2 -2 }}, {{val| 0 -1 1 0 2 }}]
Line 511: Line 507:
[[Mapping]]: [{{val| 1 0 0 -5 2 }}, {{val| 0 1 0 2 -2 }}, {{val| 0 0 1 2 2 }}]
[[Mapping]]: [{{val| 1 0 0 -5 2 }}, {{val| 0 1 0 2 -2 }}, {{val| 0 0 1 2 2 }}]


Minimax tuning: 11-odd-limit eigenmonzo subgroup: 2.7/5.11/9
[[Minimax tuning]]: 11-odd-limit eigenmonzo subgroup: 2.7/5.11/9


{{Val list|legend=1| 12, 19, 22, 34d, 41, 104, 157ce, 198ce, 220ce, 261ce }}
{{Val list|legend=1| 12, 19, 22, 34d, 41, 104, 157ce, 198ce, 220ce, 261ce }}
Line 683: Line 679:


[[Mapping]]: [{{val| 1 0 0 -5 -13 }}, {{val| 0 1 0 2 6 }}, {{val| 0 0 1 2 3 }}]
[[Mapping]]: [{{val| 1 0 0 -5 -13 }}, {{val| 0 1 0 2 6 }}, {{val| 0 0 1 2 3 }}]
Mapping generators: ~2, ~3, ~5


Map to lattice: [{{val| 0 0 -1 -2 -3 }}, {{val| 0 1 -1 0 3 }}]
Map to lattice: [{{val| 0 0 -1 -2 -3 }}, {{val| 0 1 -1 0 3 }}]
Line 877: Line 871:


Mapping: [{{val| 1 1 0 -3 2 -5 }}, {{val| 0 2 0 4 5 -2 }}, {{val| 0 0 1 2 0 4 }}]
Mapping: [{{val| 1 1 0 -3 2 -5 }}, {{val| 0 2 0 4 5 -2 }}, {{val| 0 0 1 2 0 4 }}]
Mapping generators: ~2, ~11/9, ~5


{{Val list|legend=1| 31, 72, 103, 175f, (240) }}
{{Val list|legend=1| 31, 72, 103, 175f, (240) }}
Line 1,093: Line 1,089:


Mapping: [{{val| 1 1 3 3 2 0 }}, {{val| 0 6 -7 -2 15 0 }}, {{val| 0 0 0 0 0 1 }}]
Mapping: [{{val| 1 1 3 3 2 0 }}, {{val| 0 6 -7 -2 15 0 }}, {{val| 0 0 0 0 0 1 }}]
Mapping generators: ~2, ~15/14, ~13


{{Val list|legend=1| 10, 31, 41, 62, 72, 103, 175f, 216c, 288cdf, 391bcdef }}
{{Val list|legend=1| 10, 31, 41, 62, 72, 103, 175f, 216c, 288cdf, 391bcdef }}