Gamelismic clan: Difference between revisions

Xenllium (talk | contribs)
Tags: Mobile edit Mobile web edit
Xenllium (talk | contribs)
Tags: Mobile edit Mobile web edit
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[[Mapping]]: [{{val| 1 1 -1 3 }}, {{val| 0 3 17 -1 }}]
[[Mapping]]: [{{val| 1 1 -1 3 }}, {{val| 0 3 17 -1 }}]
{{Multival|legend=1| 3 17 -1 20 -10 -50 }}


[[POTE generator]]: ~8/7 = 234.417
[[POTE generator]]: ~8/7 = 234.417
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{{Val list|legend=1| 41, 87, 128, 215d }}
{{Val list|legend=1| 41, 87, 128, 215d }}


[[Badness]]: 0.0371
[[Badness]]: 0.037112


Scales: [[rodan26opt]], [[rodan31opt]], [[rodan41opt]]
Scales: [[Rodan26opt]], [[Rodan31opt]], [[Rodan41opt]]


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


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Algebraic generator: [[Algebraic number|positive root]] of ''x''<sup>2</sup> + 16''x'' - 31, or √95 - 8.
Algebraic generator: [[Algebraic number|positive root]] of ''x''<sup>2</sup> + 16''x'' - 31, or √95 - 8.


{{Val list|legend=1| 41, 46, 87 }}
Vals: {{Val list| 41, 46, 87 }}


Badness: 0.0231
Badness: 0.023093


Scales: [[rodan26opt]], [[rodan31opt]], [[rodan41opt]]
Scales: [[Rodan26opt]], [[Rodan31opt]], [[Rodan41opt]]


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


Line 356: Line 356:
Algebraic generator: Gatetone, positive root of 4''x''<sup>6</sup> - 7''x'' - 1. Recurrence converges slowly.
Algebraic generator: Gatetone, positive root of 4''x''<sup>6</sup> - 7''x'' - 1. Recurrence converges slowly.


{{Val list|legend=1| 41, 46, 87 }}
Vals: {{Val list| 41, 46, 87 }}


Badness: 0.0184
Badness: 0.018448


Scales: [[rodan26opt]], [[rodan31opt]], [[rodan41opt]]
Scales: [[Rodan26opt]], [[Rodan31opt]], [[Rodan41opt]]


==== 17-limit ====
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


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* 17-odd-limit eigenmonzos: 2, 18/17
* 17-odd-limit eigenmonzos: 2, 18/17


{{Val list|legend=1| 41, 46, 87, 220dg, 307dgg }}
Vals: {{Val list| 41, 46, 87, 220dg, 307dgg }}


Badness: 0.0167
Badness: 0.016743


Scales: [[rodan26opt]], [[rodan31opt]], [[rodan41opt]]
Scales: [[Rodan26opt]], [[Rodan31opt]], [[Rodan41opt]]


=== Aerodactyl ===
=== Aerodactyl ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


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POTE generator: ~8/7 = 234.639
POTE generator: ~8/7 = 234.639


{{Val list|legend=1| 41f, 46, 133ff }}
Vals: {{Val list| 5, 41f, 46, 133ff }}


Badness: 0.0340
Badness: 0.033986


== Aerodino ==
== Aerodino ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


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POTE generator: ~8/7 = 234.728
POTE generator: ~8/7 = 234.728


{{Val list|legend=1| 41e, 46 }}
Vals: {{Val list| 41e, 46 }}


Badness: 0.0543
Badness: 0.054294


=== 13-limit ===
=== 13-limit ===
Comma list: 91/90, 176/175, 245/243, 847/845
Comma list: 91/90, 176/175, 245/243, 847/845


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POTE generator: ~8/7 = 234.782
POTE generator: ~8/7 = 234.782


{{Val list|legend=1| 41ef, 46 }}
Vals: {{Val list| 41ef, 46 }}


Badness: 0.0358
Badness: 0.035836


== Varan ==
== Varan ==
Comma list: 100/99, 245/243, 1029/1024
Comma list: 100/99, 245/243, 1029/1024


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POTE generator: ~8/7 = 234.145
POTE generator: ~8/7 = 234.145


{{Val list|legend=1| 36ce, 41 }}
Vals: {{Val list| 36ce, 41 }}


Badness: 0.0449
Badness: 0.044937


=== 13-limit ===
=== 13-limit ===
Comma list: 100/99, 105/104, 245/243, 352/351
Comma list: 100/99, 105/104, 245/243, 352/351


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POTE generator: ~8/7 = 234.089
POTE generator: ~8/7 = 234.089


{{Val list|legend=1| 36ce, 41 }}
Vals: {{Val list| 36ce, 41 }}


Badness: 0.0323
Badness: 0.032284


= Guiron =
= Guiron =