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User:Frostburn/Fifth-equivalent Interval Classes: Difference between revisions

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Create page. Add first two sets.
 
Frostburn (talk | contribs)
autopatrolled, emailconfirmed
322 edits
Remove duplicates. Sort by inbounds intervals.
 
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These tables list interval classes under 3/2-equivalence ordered by complexity analogous to [[odd-limit]].
These tables list interval classes under 3/2-equivalence ordered by complexity analogous to [[odd-limit]].


Note that every third set is empty similar to throdd-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 ==
== 1-(3/2-odd)-limit ==
Line 22: Line 24:
| 2/1 || 8/9 || 4/3 || 2/1
| 2/1 || 8/9 || 4/3 || 2/1
|}
|}
 
== 4-(3/2-odd)-limit ==
TODO: Higher limits
{| class="wikitable"
|+
|-
! Representative !! Subunison !! Inbounds !! Above 3/2
|-
| 4 || 64/81 || 32/27 || 16/9
|-
| 1/4 || 27/32 || 81/64 || 243/128
|}
== 5-(3/2-odd)-limit ==
{| class="wikitable"
|+
|-
! Representative !! Subunison !! Inbounds !! Above 3/2
|-
| 1/5 || 27/40 || 81/80 || 243/160
|-
| 5/2 || 20/27 || 10/9 || 5/3
|-
| 4/5 || 4/5 || 6/5 || 9/5
|-
| 5/4 || 5/6 || 5/4 || 15/8
|-
| 3/5 || 9/10 || 27/20 || 81/40
|-
| 5 || 80/81 || 40/27 || 20/9
|}
== 7-(3/2-odd)-limit ==
{| class="wikitable"
|+
|-
! Representative !! Subunison !! Inbounds !! Above 3/2
|-
| 7/2 || 56/81 || 28/27 || 14/9
|-
| 5/7 || 5/7 || 15/14 || 45/28
|-
| 1/7 || 81/112 || 243/224 || 729/448
|-
| 7/4 || 7/9 || 7/6 || 7/4
|-
| 6/7 || 6/7 || 9/7 || 27/14
|-
| 7 || 224/243 || 112/81 || 56/27
|-
| 7/5 || 14/15 || 7/5 || 21/10
|-
| 3/7 || 27/28 || 81/56 || 243/112
|}
== 8-(3/2-odd)-limit ==
{| class="wikitable"
|+
|-
! Representative !! Subunison !! Inbounds !! Above 3/2
|-
| 8 || 512/729 || 256/243 || 128/81
|-
| 8/5 || 32/45 || 16/15 || 8/5
|-
| 8/7 || 16/21 || 8/7 || 12/7
|-
| 7/8 || 7/8 || 21/16 || 63/32
|-
| 5/8 || 15/16 || 45/32 || 135/64
|-
| 1/8 || 243/256 || 729/512 || 2187/1024
|}
== 10-(3/2-odd)-limit ==
{| class="wikitable"
|+
|-
! Representative !! Subunison !! Inbounds !! Above 3/2
|-
| 7/10 || 7/10 || 21/20 || 63/40
|-
| 1/10 || 243/320 || 729/640 || 2187/1280
|-
| 10 || 640/729 || 320/243 || 160/81
|-
| 10/7 || 20/21 || 10/7 || 15/7
|}
== 11-(3/2-odd)-limit ==
{| class="wikitable"
|+
|-
! Representative !! Subunison !! Inbounds !! Above 3/2
|-
| 5/11 || 15/22 || 45/44 || 135/88
|-
| 1/11 || 243/352 || 729/704 || 2187/1408
|-
| 11/7 || 44/63 || 22/21 || 11/7
|-
| 11/2 || 176/243 || 88/81 || 44/27
|-
| 8/11 || 8/11 || 12/11 || 18/11
|-
| 11/10 || 11/15 || 11/10 || 33/20
|-
| 11/4 || 22/27 || 11/9 || 11/6
|-
| 9/11 || 9/11 || 27/22 || 81/44
|-
| 10/11 || 10/11 || 15/11 || 45/22
|-
| 11/8 || 11/12 || 11/8 || 33/16
|-
| 3/11 || 81/88 || 243/176 || 729/352
|-
| 7/11 || 21/22 || 63/44 || 189/88
|-
| 11 || 704/729 || 352/243 || 176/81
|-
| 11/5 || 44/45 || 22/15 || 11/5
|}
== 13-(3/2-odd)-limit ==
{| class="wikitable"
|+
|-
! Representative !! Subunison !! Inbounds !! Above 3/2
|-
| 9/13 || 9/13 || 27/26 || 81/52
|-
| 13/8 || 13/18 || 13/12 || 13/8
|-
| 13 || 1664/2187 || 832/729 || 416/243
|-
| 10/13 || 10/13 || 15/13 || 45/26
|-
| 13/5 || 104/135 || 52/45 || 26/15
|-
| 3/13 || 81/104 || 243/208 || 729/416
|-
| 13/11 || 26/33 || 13/11 || 39/22
|-
| 7/13 || 21/26 || 63/52 || 189/104
|-
| 13/7 || 52/63 || 26/21 || 13/7
|-
| 11/13 || 11/13 || 33/26 || 99/52
|-
| 13/2 || 208/243 || 104/81 || 52/27
|-
| 5/13 || 45/52 || 135/104 || 405/208
|-
| 13/10 || 13/15 || 13/10 || 39/20
|-
| 1/13 || 729/832 || 2187/1664 || 6561/3328
|-
| 12/13 || 12/13 || 18/13 || 27/13
|-
| 13/4 || 26/27 || 13/9 || 13/6
|}
== 14-(3/2-odd)-limit ==
{| class="wikitable"
|+
|-
! Representative !! Subunison !! Inbounds !! Above 3/2
|-
| 14/13 || 28/39 || 14/13 || 21/13
|-
| 11/14 || 11/14 || 33/28 || 99/56
|-
| 5/14 || 45/56 || 135/112 || 405/224
|-
| 1/14 || 729/896 || 2187/1792 || 6561/3584
|-
| 14 || 1792/2187 || 896/729 || 448/243
|-
| 14/5 || 112/135 || 56/45 || 28/15
|-
| 14/11 || 28/33 || 14/11 || 21/11
|-
| 13/14 || 13/14 || 39/28 || 117/56
|}
== 16-(3/2-odd)-limit ==
{| class="wikitable"
|+
|-
! Representative !! Subunison !! Inbounds !! Above 3/2
|-
| 16/7 || 128/189 || 64/63 || 32/21
|-
| 11/16 || 11/16 || 33/32 || 99/64
|-
| 5/16 || 45/64 || 135/128 || 405/256
|-
| 1/16 || 729/1024 || 2187/2048 || 6561/4096
|-
| 13/16 || 13/16 || 39/32 || 117/64
|-
| 16/13 || 32/39 || 16/13 || 24/13
|-
| 16 || 2048/2187 || 1024/729 || 512/243
|-
| 16/5 || 128/135 || 64/45 || 32/15
|-
| 16/11 || 32/33 || 16/11 || 24/11
|-
| 7/16 || 63/64 || 189/128 || 567/256
|}
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