Ragismic family: Difference between revisions

Xenwolf (talk | contribs)
m Downgrade headings. HTML pages generated from normal wiki pages should have exactly one h1 heading: its lemma
m Some edo lists reviewed (hope the others are mostly right)
Line 6: Line 6:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


[[Comma list]]: 4375/4374
[[Comma list]]: [[4375/4374]]


[[Mapping]]: [{{val|1 0 0 1}}, {{val|0 1 0 7}}, {{val|0 0 1 -4}}]
[[Mapping]]: [{{val| 1 0 0 1 }}, {{val| 0 1 0 7 }}, {{val| 0 0 1 -4 }}]


Mapping generators: ~2, ~3, ~5
Mapping generators: ~2, ~3, ~5


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


Lattice basis:  
Lattice basis:  
Line 19: Line 19:


[[Minimax tuning]]:
[[Minimax tuning]]:
* 7-odd-limit eigenmonzos: 2, 8/7, 5/4
* [[7-odd-limit]] eigenmonzos: 2, 8/7, 5/4
* 9-odd-limit eigenmonzos: 2, 4/3, 7/5
* [[9-odd-limit]] eigenmonzos: 2, 4/3, 7/5


{{Val list|legend=1| 9, 19, 26, 27, 45, 46, 53, 72, 80, 91, 99, 171, 270, 441, 494, 612, 665, 935, 1106, 1277, 1376, 1718, 1889, 6279 }}
{{Val list|legend=1| 19, 27, 45, 46, 53, 72, 99, 171, 441, 612, 935, 1106, 1277, 1547, 1718, 4983, 6701, 8419 }}


[[Projection pair]]: ~7 = ~4374/625
[[Projection pair]]: ~7 = ~4374/625
Line 28: Line 28:
Scales: [[Ragismic19]]
Scales: [[Ragismic19]]


== Thor ==
== Thor ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 38: Line 38:


[[Minimax tuning]]:
[[Minimax tuning]]:
* 11-odd-limit eigenmonzos: 2, 11/10, 8/7
* [[11-odd-limit]] eigenmonzos: 2, 11/10, 8/7


{{Val list|legend=1| 72, 118, 152, 224, 270, 342, 494, 612, 764, 836 }}
{{Val list|legend=1| 26, 34d, 46, 72, 118, 152, 224, 270, 342, 494, 612, 836, 1106, 1448, 2554, 4002e, 5720e, 7168cee }}


[[Badness]]: 0.0888 × 10<sup>-3</sup>
[[Badness]]: 0.0888 × 10<sup>-3</sup>
Line 46: Line 46:
Projection pairs: 2 = ~9801/4900, ~7 = ~21434787/3062500, ~11 = ~2310905821257/210087500000 to 3.5.14/11
Projection pairs: 2 = ~9801/4900, ~7 = ~21434787/3062500, ~11 = ~2310905821257/210087500000 to 3.5.14/11


=== Donar ===
=== Donar ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 65: Line 65:
* 15-odd-limit eigenmonzos: 2, 8/7, 15/11
* 15-odd-limit eigenmonzos: 2, 8/7, 15/11


Vals: {{Val list| 46, 80, 92, 126, 144, 178, 190, 224, 494, 684, 954, 1178, 1942, 3120, 3390 }}
Vals: {{Val list| 34d, 46, 80, 144, 178, 190, 224, 494, 684, 764, 954, 1178, 1448, 6970ceeff, 8418ceeff }}


Badness: 0.322 × 10<sup>-3</sup>
Badness: 0.322 × 10<sup>-3</sup>
Line 71: Line 71:
Scales: [[Donar46]]
Scales: [[Donar46]]


=== Thunor ===
=== Thunor ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 89: Line 89:
* 13- and 15-odd-limit eigenmonzos: 2, 16/13, 9/7
* 13- and 15-odd-limit eigenmonzos: 2, 16/13, 9/7


Vals: {{Val list| 26, 46, 72, 178, 224, 270, 494 }}
Vals: {{Val list| 26, 46, 72, 152f, 198, 224, 270, 494, 764, 1258 }}


Badness: 0.341 × 10<sup>-3</sup>
Badness: 0.341 × 10<sup>-3</sup>


=== Rym ===
=== Rym ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 102: Line 102:
Mapping generators: ~99/70, ~3, ~5
Mapping generators: ~99/70, ~3, ~5


Vals: {{Val list| 46, 106, 118, 152, 224, 270, 494, 764, 1106, 1376, 1870 }}
Vals: {{Val list| 46, 72f, 106, 118, 152, 224, 270, 494, 764, 1106, 1376, 1870 }}


Badness: 0.549 × 10<sup>-3</sup>
Badness: 0.549 × 10<sup>-3</sup>
Line 128: Line 128:
Vals: {{Val list| 46, 224, 270, 494, 764, 1395, 1889 }}
Vals: {{Val list| 46, 224, 270, 494, 764, 1395, 1889 }}


== Bragi ==
== Bragi ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 150: Line 150:
Vals: {{Val list| 19, 46, 224, 270, 494, 764 }}
Vals: {{Val list| 19, 46, 224, 270, 494, 764 }}


== Beyla ==
== Beyla ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 161: Line 161:
{{Val list|legend=1| 7, 19, 26, 45, 46, 53, 72, 118, 190, 315e, 361e, 433de, 623cde }}
{{Val list|legend=1| 7, 19, 26, 45, 46, 53, 72, 118, 190, 315e, 361e, 433de, 623cde }}


[[Badness]]: 0.000721
[[Badness]]: 0.721 × 10<sup>-3</sup>


=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 176: Line 176:
Badness: 0.840 × 10<sup>-3</sup>
Badness: 0.840 × 10<sup>-3</sup>


== Heimdall ==
== Heimdall ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11