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

Ganaram inukshuk (talk | contribs)
No edit summary
Ganaram inukshuk (talk | contribs)
mNo edit summary
 
(6 intermediate revisions by the same user not shown)
Line 1: Line 1:
== Simple examples ==
'''Default search args (Int Limit = 50, Equave = 2/1)'''
<code><nowiki>{{JI ratios}}</nowiki></code>
{{JI ratios}}
{{JI ratios}}


{{JI ratios|Int Limit=1000|Prime Limit=5}}
'''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}}


{{JI ratios|Int Limit=1000|Prime Limit=5|Equave=5/2}}
'''3/1-equivalent ratios, with nonprime subgroup'''


{{JI ratios|Subgroup=2.3.7.11|Int Limit=200}}
<code><nowiki>{{JI ratios|Int Limit=60|Subgroup=3.7.17.25|Equave=3/1|Complements Only=true}}</nowiki></code>


{{JI ratios|Subgroup=2.3.7.11.13/5|Int Limit=150}}
{{JI ratios|Int Limit=60|Subgroup=3.7.17.25|Equave=3/1|Complements Only=true}}


== Subst examples ==
== Subst examples ==


<pre>{{subst:JI ratios|Int Limit=1048576|Prime Limit=3}}</pre>
<code><nowiki>{{subst:JI ratios|Int Limit=1048576|Prime Limit=3}}</nowiki></code>


1/1, 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
1/1, 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