User:Ganaram inukshuk/Sandbox/JI ratios

Simple examples

Default search args (Int Limit = 50, Equave = 2/1)

{{JI ratios}}

1/1, 30/29, 29/28, 28/27, 27/26, 26/25, 25/24, 24/23, 23/22, 22/21, 21/20, 20/19, 19/18, 18/17, 17/16, 16/15, 15/14, 29/27, 14/13, 27/25, 13/12, 25/23, 12/11, 23/21, 11/10, 21/19, 10/9, 29/26, 19/17, 28/25, 9/8, 26/23, 17/15, 25/22, 8/7, 23/20, 15/13, 22/19, 29/25, 7/6, 27/23, 20/17, 13/11, 19/16, 25/21, 6/5, 29/24, 23/19, 17/14, 28/23, 11/9, 27/22, 16/13, 21/17, 26/21, 5/4, 29/23, 24/19, 19/15, 14/11, 23/18, 9/7, 22/17, 13/10, 30/23, 17/13, 21/16, 25/19, 29/22, 4/3, 27/20, 23/17, 19/14, 15/11, 26/19, 11/8, 29/21, 18/13, 25/18, 7/5, 24/17, 17/12, 27/19, 10/7, 23/16, 13/9, 29/20, 16/11, 19/13, 22/15, 25/17, 28/19, 3/2, 29/19, 26/17, 23/15, 20/13, 17/11, 14/9, 25/16, 11/7, 30/19, 19/12, 27/17, 8/5, 29/18, 21/13, 13/8, 18/11, 23/14, 28/17, 5/3, 27/16, 22/13, 17/10, 29/17, 12/7, 19/11, 26/15, 7/4, 30/17, 23/13, 16/9, 25/14, 9/5, 29/16, 20/11, 11/6, 24/13, 13/7, 28/15, 15/8, 17/9, 19/10, 21/11, 23/12, 25/13, 27/14, 29/15, 2/1

Search by prime limit

{{JI ratios|Prime Limit=5}}

1/1, 25/24, 16/15, 27/25, 10/9, 9/8, 6/5, 5/4, 4/3, 27/20, 25/18, 3/2, 25/16, 8/5, 5/3, 27/16, 16/9, 9/5, 15/8, 2/1

Search by int limit (use with caution, as large limits may result in an error)

{{JI ratios|Int Limit=2200000|Prime Limit=3}}

1/1, 531441/524288, 256/243, 2187/2048, 65536/59049, 9/8, 32/27, 19683/16384, 8192/6561, 81/64, 2097152/1594323, 4/3, 177147/131072, 1024/729, 729/512, 262144/177147, 3/2, 1594323/1048576, 128/81, 6561/4096, 32768/19683, 27/16, 16/9, 59049/32768, 4096/2187, 243/128, 1048576/531441, 2/1

Search by subgroup

{{JI ratios|Subgroup=2.3.5.7.13}}

1/1, 28/27, 27/26, 26/25, 25/24, 21/20, 16/15, 15/14, 14/13, 27/25, 13/12, 10/9, 28/25, 9/8, 8/7, 15/13, 7/6, 25/21, 6/5, 16/13, 26/21, 5/4, 9/7, 13/10, 21/16, 4/3, 27/20, 18/13, 25/18, 7/5, 10/7, 13/9, 3/2, 20/13, 14/9, 25/16, 8/5, 21/13, 13/8, 5/3, 27/16, 12/7, 26/15, 7/4, 16/9, 25/14, 9/5, 24/13, 13/7, 28/15, 15/8, 25/13, 27/14, 2/1

Custom equave

Default of 2/1

{{JI ratios|Int Limit=40|Subgroup=2.3.5.17}}

1/1, 25/24, 18/17, 17/16, 16/15, 27/25, 10/9, 9/8, 17/15, 20/17, 32/27, 6/5, 5/4, 34/27, 32/25, 4/3, 27/20, 34/25, 25/18, 24/17, 17/12, 36/25, 25/17, 40/27, 3/2, 25/16, 27/17, 8/5, 5/3, 27/16, 17/10, 30/17, 16/9, 9/5, 15/8, 32/17, 17/9, 2/1

3/1

{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Equave=3/1}}

1/1, 25/24, 18/17, 17/16, 16/15, 27/25, 10/9, 9/8, 17/15, 20/17, 32/27, 6/5, 5/4, 34/27, 32/25, 4/3, 27/20, 34/25, 25/18, 24/17, 17/12, 36/25, 25/17, 40/27, 3/2, 25/16, 27/17, 8/5, 5/3, 27/16, 17/10, 30/17, 16/9, 9/5, 15/8, 32/17, 17/9, 2/1, 25/12, 36/17, 17/8, 32/15, 20/9, 9/4, 34/15, 40/17, 12/5, 5/2, 8/3, 27/10, 25/9, 17/6, 3/1

3/2

{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Equave=3/2}}

1/1, 25/24, 18/17, 17/16, 16/15, 27/25, 10/9, 9/8, 17/15, 20/17, 32/27, 6/5, 5/4, 34/27, 32/25, 4/3, 27/20, 34/25, 25/18, 24/17, 17/12, 36/25, 25/17, 40/27, 3/2

17/8

{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Equave=17/8}}

1/1, 25/24, 18/17, 17/16, 16/15, 27/25, 10/9, 9/8, 17/15, 20/17, 32/27, 6/5, 5/4, 34/27, 32/25, 4/3, 27/20, 34/25, 25/18, 24/17, 17/12, 36/25, 25/17, 40/27, 3/2, 25/16, 27/17, 8/5, 5/3, 27/16, 17/10, 30/17, 16/9, 9/5, 15/8, 32/17, 17/9, 2/1, 25/12, 36/17, 17/8

Nonprime subgroups

Composite subgroup element

{{JI ratios|Int Limit=40|Subgroup=2.3.5.14}}

1/1, 28/27, 25/24, 16/15, 15/14, 27/25, 10/9, 28/25, 9/8, 8/7, 7/6, 32/27, 6/5, 5/4, 32/25, 9/7, 4/3, 27/20, 25/18, 7/5, 10/7, 36/25, 40/27, 3/2, 14/9, 25/16, 8/5, 5/3, 27/16, 12/7, 7/4, 16/9, 25/14, 9/5, 28/15, 15/8, 27/14, 2/1

Rational subgroup element

{{JI ratios|Int Limit=40|Subgroup=2.3.5.17/14}}

1/1, 35/34, 25/24, 16/15, 27/25, 10/9, 9/8, 32/27, 6/5, 17/14, 21/17, 5/4, 32/25, 4/3, 27/20, 25/18, 36/25, 40/27, 3/2, 25/16, 8/5, 34/21, 28/17, 5/3, 27/16, 16/9, 9/5, 15/8, 2/1

Example with both

{{JI ratios|Int Limit=40|Subgroup=2.9/5.15.19}}

1/1, 16/15, 10/9, 32/27, 19/16, 19/15, 38/27, 27/19, 30/19, 32/19, 27/16, 9/5, 15/8, 2/1

Ratio filtering

No filtering

{{JI ratios|Int Limit=40|Subgroup=2.3.5.17}}

1/1, 25/24, 18/17, 17/16, 16/15, 27/25, 10/9, 9/8, 17/15, 20/17, 32/27, 6/5, 5/4, 34/27, 32/25, 4/3, 27/20, 34/25, 25/18, 24/17, 17/12, 36/25, 25/17, 40/27, 3/2, 25/16, 27/17, 8/5, 5/3, 27/16, 17/10, 30/17, 16/9, 9/5, 15/8, 32/17, 17/9, 2/1

Complements only

{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Complements Only=true}}

1/1, 18/17, 17/16, 16/15, 10/9, 9/8, 17/15, 20/17, 32/27, 6/5, 5/4, 34/27, 32/25, 4/3, 27/20, 34/25, 25/18, 24/17, 17/12, 36/25, 25/17, 40/27, 3/2, 25/16, 27/17, 8/5, 5/3, 27/16, 17/10, 30/17, 16/9, 9/5, 15/8, 32/17, 17/9, 2/1

Tenney height

{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Tenney Height=9}}

1/1, 18/17, 17/16, 16/15, 10/9, 9/8, 17/15, 20/17, 6/5, 5/4, 4/3, 25/18, 24/17, 17/12, 25/17, 3/2, 25/16, 27/17, 8/5, 5/3, 27/16, 17/10, 30/17, 16/9, 9/5, 15/8, 17/9, 2/1

Both options

{{JI ratios|Int Limit=40|Subgroup=2.3.5.17|Complements Only=true|Tenney Height=9}}

1/1, 18/17, 16/15, 10/9, 9/8, 17/15, 20/17, 6/5, 5/4, 4/3, 24/17, 17/12, 3/2, 8/5, 5/3, 17/10, 30/17, 16/9, 9/5, 15/8, 17/9, 2/1

Complex examples

2/1-equivalent ratios, with nonprime subgroup

{{JI ratios|Int Limit=60|Subgroup=2.7.9/5.11/5|Complements Only=true}}

1/1, 36/35, 11/10, 10/9, 8/7, 11/9, 44/35, 35/22, 18/11, 7/4, 9/5, 20/11, 35/18, 2/1

3/1-equivalent ratios, with nonprime subgroup

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

1/1, 51/49, 27/25, 21/17, 9/7, 25/17, 27/17, 17/9, 51/25, 7/3, 17/7, 25/9, 49/17, 3/1

Subst examples

{{subst:JI ratios|Int Limit=1048576|Prime Limit=3}}

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