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adding parenthetical "(unchanged intervals)" to eigenmonzo lists
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Line 108: Line 108:
Badness: 0.542 × 10<sup>-3</sup>
Badness: 0.542 × 10<sup>-3</sup>


== Freya ==
== Agni ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


[[Comma list]]: 2401/2400, 3025/3024
[[Comma list]]: 385/384, 1375/1372
 
[[Mapping]]: [{{val| 1 1 1 2 5 }}, {{val| 0 2 1 1 0 }}, {{val| 0 0 2 1 -3 }}]


[[Mapping]]: [{{val| 1 1 3 3 2 }}, {{val| 0 2 3 2 1 }}, {{val| 0 0 -4 -2 3 }}]
Mapping generators: ~2, ~49/40, ~10/7


Mapping generators: ~2, ~49/40, ~55/42
Map to lattice: [{{val| 0 2 1 1 0 }}, {{val| 0 0 2 1 -3 }}]


[[Minimax tuning]]:
Lattice basis:  
* [[11-odd-limit]] eigenmonzos (unchanged intervals): 2, 14/11, 4/3
: 49/40 length = 0.756, 10/7 length = 0.819
: Angle (49/40, 10/7) = 106.460 degrees


{{Val list|legend=1| 31, 41, 72, 167, 188, 198, 239, 270, 342, 612, 954, 1566, 3101de, 3443de, 4055de, 4397cdee, 4667dee, 5009cddee }}
[[Minimax tuning]]:
* [[11-odd-limit]]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 0 1 0 0 0 }}, {{monzo| 23/10 3/10 2/5 0 -2/5 }}, {{monzo| 12/5 2/5 1/5 0 -1/5 }}, {{monzo| 23/10 3/10 -3/5 0 3/5 }}]
: [[Eigenmonzo]]s (unchanged intervals): 2, 4/3, 11/10


[[Badness]]: 0.170 × 10<sup>-3</sup>
{{Val list|legend=1| 27, 31, 41, 68, 72, 140, 171e, 212, 284, 496ce, 527cee, 739cdeee, 811ccdeee, 1023ccdeee }}


[[Projection pair]]s: ~3 = ~2401/800, ~5 = ~22880495169/4575312500, ~7 = ~1058841/151250, ~11 = ~33275/3024 to 2.49/5.77/3
[[Badness]]: 0.494 × 10<sup>-3</sup>


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


Comma list: 2401/2400, 3025/3024, 4096/4095
Comma list: 385/384, 625/624, 1375/1372
 
Mapping: [{{val| 1 1 1 2 5 -1 }}, {{val| 0 2 1 1 0 2 }}, {{val| 0 0 2 1 -3 8 }}]
 
Vals: {{Val list| 31, 68, 72, 103, 140, 212, 243e, 315ef, 455eef, 770cdeeeff }}
 
Badness: 0.923 × 10<sup>-3</sup>
 
== Zisa ==
Subgroup: 2.3.5.7.11
 
[[Comma list]]: 2401/2400, 5632/5625
 
[[Mapping]]: [{{val| 1 1 1 2 -3 }}, {{val| 0 2 1 1 8 }}, {{val| 0 0 2 1 8 }}]
 
{{Val list|legend=1| 31, 68e, 99e, 130, 239, 270, 670, 940, 1210, 2150c }}
 
[[Badness]]: 0.640 × 10<sup>-3</sup>


Mapping: [{{val| 1 1 3 3 2 4 }}, {{val| 0 2 3 2 1 -9 }}, {{val| 0 0 -4 -2 3 6 }}]
=== 13-limit ===
Subgroup: 2.3.5.7.11.13


Mapping generators: ~2, ~49/40, ~55/42
Comma list: 1001/1000, 1716/1715, 4096/4095


Vals: {{Val list| 31, 41, 72f, 198f, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615 }}
Mapping: [{{val| 1 1 1 2 -3 7 }}, {{val| 0 2 1 1 8 -6 }}, {{val| 0 0 2 1 8 -3 }}]


Badness: 0.855 × 10<sup>-3</sup>
Vals: {{Val list| 31, 78f, 99e, 109, 130, 239, 270, 571, 701, 841, 971, 1241 }}


Projection pairs: ~3 = ~2401/800, ~5 = ~22880495169/4575312500, ~7 = ~1058841/151250, ~11 = ~33275/3024, ~13 = ~1814078464000000000000000/139662717676432916098329 to 2.49/5.77/3
Badness: 0.830 × 10<sup>-3</sup>


== Baldur ==
== Baldur ==
Line 176: Line 200:
Projection pairs: 2 19600/9801 3 676/225 5 10400/2079 7 20384000/2910897 11 19208000000000000/1750211597736459 13 5026736/385875 to 10/7.200/99.26/15
Projection pairs: 2 19600/9801 3 676/225 5 10400/2079 7 20384000/2910897 11 19208000000000000/1750211597736459 13 5026736/385875 to 10/7.200/99.26/15


== Agni ==
== Freya ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


[[Comma list]]: 385/384, 1375/1372
[[Comma list]]: 2401/2400, 3025/3024


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


Mapping generators: ~2, ~49/40, ~10/7
Mapping generators: ~2, ~49/40, ~55/42


Map to lattice: [{{val| 0 2 1 1 0 }}, {{val| 0 0 2 1 -3 }}]
[[Minimax tuning]]:
* [[11-odd-limit]] eigenmonzos (unchanged intervals): 2, 14/11, 4/3


Lattice basis:
{{Val list|legend=1| 31, 41, 72, 167, 188, 198, 239, 270, 342, 612, 954, 1566, 3101de, 3443de, 4055de, 4397cdee, 4667dee, 5009cddee }}
: 49/40 length = 0.756, 10/7 length = 0.819
: Angle (49/40, 10/7) = 106.460 degrees


[[Minimax tuning]]:  
[[Badness]]: 0.170 × 10<sup>-3</sup>
* [[11-odd-limit]]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 0 1 0 0 0 }}, {{monzo| 23/10 3/10 2/5 0 -2/5 }}, {{monzo| 12/5 2/5 1/5 0 -1/5 }}, {{monzo| 23/10 3/10 -3/5 0 3/5 }}]
: [[Eigenmonzo]]s (unchanged intervals): 2, 4/3, 11/10


{{Val list|legend=1| 27, 31, 41, 68, 72, 140, 171e, 212, 284, 496ce, 527cee, 739cdeee, 811ccdeee, 1023ccdeee }}
[[Projection pair]]s: ~3 = ~2401/800, ~5 = ~22880495169/4575312500, ~7 = ~1058841/151250, ~11 = ~33275/3024 to 2.49/5.77/3
 
[[Badness]]: 0.494 × 10<sup>-3</sup>


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


Comma list: 385/384, 625/624, 1375/1372
Comma list: 2401/2400, 3025/3024, 4096/4095
 
Mapping: [{{val| 1 1 3 3 2 4 }}, {{val| 0 2 3 2 1 -9 }}, {{val| 0 0 -4 -2 3 6 }}]
 
Mapping generators: ~2, ~49/40, ~55/42


Mapping: [{{val| 1 1 1 2 5 -1 }}, {{val| 0 2 1 1 0 2 }}, {{val| 0 0 2 1 -3 8 }}]
Vals: {{Val list| 31, 41, 72f, 198f, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615 }}


Vals: {{Val list| 31, 68, 72, 103, 140, 212, 243e, 315ef, 455eef, 770cdeeeff }}
Badness: 0.855 × 10<sup>-3</sup>


Badness: 0.923 × 10<sup>-3</sup>
Projection pairs: ~3 = ~2401/800, ~5 = ~22880495169/4575312500, ~7 = ~1058841/151250, ~11 = ~33275/3024, ~13 = ~1814078464000000000000000/139662717676432916098329 to 2.49/5.77/3


== Vili ==
== Vili ==
Line 232: Line 254:


Badness: 0.738 × 10<sup>-3</sup>
Badness: 0.738 × 10<sup>-3</sup>
== Zisa ==
Subgroup: 2.3.5.7.11
[[Comma list]]: 2401/2400, 5632/5625
[[Mapping]]: [{{val| 1 1 1 2 -3 }}, {{val| 0 2 1 1 8 }}, {{val| 0 0 2 1 8 }}]
{{Val list|legend=1| 31, 68e, 99e, 130, 239, 270, 670, 940, 1210, 2150c }}
[[Badness]]: 0.640 × 10<sup>-3</sup>
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 1001/1000, 1716/1715, 4096/4095
Mapping: [{{val| 1 1 1 2 -3 7 }}, {{val| 0 2 1 1 8 -6 }}, {{val| 0 0 2 1 8 -3 }}]
Vals: {{Val list| 31, 78f, 99e, 109, 130, 239, 270, 571, 701, 841, 971, 1241 }}
Badness: 0.830 × 10<sup>-3</sup>


== Frigg ==
== Frigg ==
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