User:Frostburn/Fifth-equivalent Interval Classes
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These tables list interval classes under 3/2-equivalence ordered by complexity analogous to odd-limit.
The tables only list new entries. The limits contain all previous limits.
Note that every third table is empty similar to throdd-limit.
1-(3/2-odd)-limit
Representative | Subunison | Inbounds | Above (or at) 3/2 |
---|---|---|---|
1/1 | 2/3 | 1/1 | 3/2 |
2-(3/2-odd)-limit
Representative | Subunison | Inbounds | Above 3/2 |
---|---|---|---|
1/2 | 3/4 | 9/8 | 27/16 |
2/1 | 8/9 | 4/3 | 2/1 |
4-(3/2-odd)-limit
Representative | Subunison | Inbounds | Above 3/2 |
---|---|---|---|
1/4 | 27/32 | 81/64 | 243/128 |
4/1 | 8/3 | 4/1 | 6/1 |
5-(3/2-odd)-limit
Representative | Subunison | Inbounds | Above 3/2 |
---|---|---|---|
5/4 | 5/6 | 5/4 | 15/8 |
5/2 | 5/3 | 5/2 | 15/4 |
5/1 | 10/3 | 5/1 | 15/2 |
4/5 | 4/5 | 6/5 | 9/5 |
5/3 | 10/9 | 5/3 | 5/2 |
3/5 | 9/10 | 27/20 | 81/40 |
2/5 | 9/10 | 27/20 | 81/40 |
1/5 | 27/40 | 81/80 | 243/160 |
7-(3/2-odd)-limit
Representative | Subunison | Inbounds | Above 3/2 |
---|---|---|---|
7/4 | 7/6 | 7/4 | 21/8 |
7/2 | 7/3 | 7/2 | 21/4 |
5/7 | 5/7 | 15/14 | 45/28 |
7/1 | 14/3 | 7/1 | 21/2 |
3/7 | 27/28 | 81/56 | 243/112 |
7/6 | 7/9 | 7/6 | 7/4 |
1/7 | 81/112 | 243/224 | 729/448 |
6/7 | 6/7 | 9/7 | 27/14 |
7/5 | 14/15 | 7/5 | 21/10 |
4/7 | 6/7 | 9/7 | 27/14 |
2/7 | 27/28 | 81/56 | 243/112 |
7/3 | 14/9 | 7/3 | 7/2 |
8-(3/2-odd)-limit
Representative | Subunison | Inbounds | Above 3/2 |
---|---|---|---|
1/8 | 243/256 | 729/512 | 2187/1024 |
5/8 | 15/16 | 45/32 | 135/64 |
7/8 | 7/8 | 21/16 | 63/32 |
8/1 | 16/3 | 8/1 | 12/1 |
8/5 | 16/15 | 8/5 | 12/5 |
8/7 | 16/21 | 8/7 | 12/7 |
10-(3/2-odd)-limit
Representative | Subunison | Inbounds | Above 3/2 |
---|---|---|---|
7/10 | 7/10 | 21/20 | 63/40 |
10/1 | 20/3 | 10/1 | 15/1 |
1/10 | 243/320 | 729/640 | 2187/1280 |
10/7 | 20/21 | 10/7 | 15/7 |
11-(3/2-odd)-limit
Representative | Subunison | Inbounds | Above 3/2 |
---|---|---|---|
11/8 | 11/12 | 11/8 | 33/16 |
11/4 | 11/6 | 11/4 | 33/8 |
11/2 | 11/3 | 11/2 | 33/4 |
2/11 | 81/88 | 243/176 | 729/352 |
11/1 | 22/3 | 11/1 | 33/2 |
4/11 | 9/11 | 27/22 | 81/44 |
11/5 | 22/15 | 11/5 | 33/10 |
6/11 | 9/11 | 27/22 | 81/44 |
11/3 | 22/9 | 11/3 | 11/2 |
8/11 | 8/11 | 12/11 | 18/11 |
11/7 | 22/21 | 11/7 | 33/14 |
10/11 | 10/11 | 15/11 | 45/22 |
1/11 | 243/352 | 729/704 | 2187/1408 |
11/10 | 11/15 | 11/10 | 33/20 |
3/11 | 81/88 | 243/176 | 729/352 |
11/6 | 11/9 | 11/6 | 11/4 |
5/11 | 15/22 | 45/44 | 135/88 |
11/9 | 22/27 | 11/9 | 11/6 |
7/11 | 21/22 | 63/44 | 189/88 |
9/11 | 9/11 | 27/22 | 81/44 |
13-(3/2-odd)-limit
Representative | Subunison | Inbounds | Above 3/2 |
---|---|---|---|
13/8 | 13/12 | 13/8 | 39/16 |
13/4 | 13/6 | 13/4 | 39/8 |
13/2 | 13/3 | 13/2 | 39/4 |
1/13 | 729/832 | 2187/1664 | 6561/3328 |
13/11 | 26/33 | 13/11 | 39/22 |
13/1 | 26/3 | 13/1 | 39/2 |
2/13 | 81/104 | 243/208 | 729/416 |
13/7 | 26/21 | 13/7 | 39/14 |
3/13 | 81/104 | 243/208 | 729/416 |
4/13 | 9/13 | 27/26 | 81/52 |
13/6 | 13/9 | 13/6 | 13/4 |
5/13 | 45/52 | 135/104 | 405/208 |
6/13 | 9/13 | 27/26 | 81/52 |
7/13 | 21/26 | 63/52 | 189/104 |
13/9 | 26/27 | 13/9 | 13/6 |
8/13 | 12/13 | 18/13 | 27/13 |
13/5 | 26/15 | 13/5 | 39/10 |
13/12 | 13/18 | 13/12 | 13/8 |
13/3 | 26/9 | 13/3 | 13/2 |
9/13 | 9/13 | 27/26 | 81/52 |
10/13 | 10/13 | 15/13 | 45/26 |
13/10 | 13/15 | 13/10 | 39/20 |
11/13 | 11/13 | 33/26 | 99/52 |
12/13 | 12/13 | 18/13 | 27/13 |
14-(3/2-odd)-limit
Representative | Subunison | Inbounds | Above 3/2 |
---|---|---|---|
14/5 | 28/15 | 14/5 | 21/5 |
13/14 | 13/14 | 39/28 | 117/56 |
14/13 | 28/39 | 14/13 | 21/13 |
14/1 | 28/3 | 14/1 | 21/1 |
5/14 | 45/56 | 135/112 | 405/224 |
14/11 | 28/33 | 14/11 | 21/11 |
1/14 | 729/896 | 2187/1792 | 6561/3584 |
11/14 | 11/14 | 33/28 | 99/56 |
16-(3/2-odd)-limit
Representative | Subunison | Inbounds | Above 3/2 |
---|---|---|---|
1/16 | 729/1024 | 2187/2048 | 6561/4096 |
5/16 | 45/64 | 135/128 | 405/256 |
13/16 | 13/16 | 39/32 | 117/64 |
7/16 | 63/64 | 189/128 | 567/256 |
11/16 | 11/16 | 33/32 | 99/64 |
16/1 | 32/3 | 16/1 | 24/1 |
16/13 | 32/39 | 16/13 | 24/13 |
16/5 | 32/15 | 16/5 | 24/5 |
16/7 | 32/21 | 16/7 | 24/7 |
16/11 | 32/33 | 16/11 | 24/11 |