User:Ganaram inukshuk/Sandbox/JI ratios: Difference between revisions

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-{{JI ratios|Int Limit=1048576|Prime Limit=3}}{{JI ratios|Int Limit=1000|Prime Limit=5}}{{JI ratios}}
+== Simple examples ==
-{{JI ratios|Subgroup=2.3.7.11|Int Limit=200}}
+'''Default search args (Int Limit = 50, Equave = 2/1)'''
-/1, 256/243, 2187/2048, 9/8, 32/27, 19683/16384, 8192/6561, 81/64, 4/3, 1024/729, 729/512, 3/2, 128/81, 6561/4096, 27/16, 16/9, 4096/2187, 243/128, 2/1
+<code><nowiki>{{JI ratios}}</nowiki></code>
+{{JI ratios}}
+'''Search by prime limit'''
+<code><nowiki>{{JI ratios|Prime Limit=5}}</nowiki></code>
+{{JI ratios|Prime Limit=5}}
+'''Search by int limit (use with caution, as large limits may result in an error)'''
+<code><nowiki>{{JI ratios|Int Limit=2200000|Prime Limit=3}}</nowiki></code>
+{{JI ratios|Int Limit=2200000|Prime Limit=3}}
+'''Search by subgroup'''
+<code><nowiki>{{JI ratios|Subgroup=2.3.5.7.13}}</nowiki></code>
+{{JI ratios|Subgroup=2.3.5.7.13}}
+== Custom equave ==
+'''Default of 2/1'''
+<code><nowiki>{{JI ratios|Int Limit=40|Subgroup=2.3.5.17}}</nowiki></code>
+{{JI ratios|Int Limit=40|Subgroup=2.3.5.17}}
+'''3/1'''
+<code><nowiki>{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Equave=3/1}}</nowiki></code>
+{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Equave=3/1}}
+'''3/2'''
+<code><nowiki>{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Equave=3/2}}</nowiki></code>
+{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Equave=3/2}}
+'''17/8'''
+<code><nowiki>{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Equave=17/8}}</nowiki></code>
+{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Equave=17/8}}
+== Nonprime subgroups ==
+'''Composite subgroup element'''
+<code><nowiki>{{JI ratios|Int Limit=40|Subgroup=2.3.5.14}}</nowiki></code>
+{{JI ratios|Int Limit=40|Subgroup=2.3.5.14}}
+'''Rational subgroup element'''
+<code><nowiki>{{JI ratios|Int Limit=40|Subgroup=2.3.5.17/14}}</nowiki></code>
+{{JI ratios|Int Limit=40|Subgroup=2.3.5.17/14}}
+'''Example with both'''
+<code><nowiki>{{JI ratios|Int Limit=40|Subgroup=2.9/5.15.19}}</nowiki></code>
+{{JI ratios|Int Limit=40|Subgroup=2.9/5.15.19}}
+== Ratio filtering ==
+'''No filtering'''
+<code><nowiki>{{JI ratios|Int Limit=40|Subgroup=2.3.5.17}}</nowiki></code>
+{{JI ratios|Int Limit=40|Subgroup=2.3.5.17}}
+'''Complements only'''
+<code><nowiki>{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Complements Only=true}}</nowiki></code>
+{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Complements Only=true}}
+'''Tenney height'''
+<code><nowiki>{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Tenney Height=9}}</nowiki></code>
+{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Tenney Height=9}}
+'''Both options'''
+<code><nowiki>{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Complements Only=true|Tenney Height=9}}</nowiki></code>
+{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Complements Only=true|Tenney Height=9}}
+== Complex examples ==
+'''2/1-equivalent ratios, with nonprime subgroup'''
+<code><nowiki>{{JI ratios|Int Limit=60|Subgroup=2.7.9/5.11/5|Complements Only=true}}</nowiki></code>
+{{JI ratios|Int Limit=60|Subgroup=2.7.9/5.11/5|Complements Only=true}}
+'''3/1-equivalent ratios, with nonprime subgroup'''
+<code><nowiki>{{JI ratios|Int Limit=60|Subgroup=3.7.17.25|Equave=3/1|Complements Only=true}}</nowiki></code>
+{{JI ratios|Int Limit=60|Subgroup=3.7.17.25|Equave=3/1|Complements Only=true}}
+== Subst examples ==
+<code><nowiki>{{subst:JI ratios|Int Limit=1048576|Prime Limit=3}}</nowiki></code>
+/1, 531441/524288, 256/243, 2187/2048, 65536/59049, 9/8, 32/27, 19683/16384, 8192/6561, 81/64, 4/3, 177147/131072, 1024/729, 729/512, 262144/177147, 3/2, 128/81, 6561/4096, 32768/19683, 27/16, 16/9, 59049/32768, 4096/2187, 243/128, 1048576/531441, 2/1