218edo: Difference between revisions

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-'''218edo''', having a step size of 5.50458715596 cents, contains very accurate ratios, such as 7/4, 11/8, 9/7, 8/7, 9/8, 10/9, 11/10 and 17/16, and its step size can be approximated as 5.5 cents.
+'''218edo''', having a step size of 5.50458715596 [[cent]]s, contains very accurate ratios, such as 7/4, 11/8, 9/7, 8/7, 9/8, 10/9, 11/10 and 17/16, and its step size can be approximated as 5.5 cents.
 '''Bold numbers are off within less than 0.1 step size'''
@@ Line 5: / Line 5: @@
 {| class="wikitable"
 |-
-| | fraction:
+! Interval fraction
-| | 3/2
+| [[3/2]]
-| | 4/3
+| [[4/3]]
-| | 5/4
+| [[5/4]]
-| | 8/5
+| [[8/5]]
-| | 5/3
+| [[5/3]]
-| | 6/5
+| [[6/5]]
-| | '''7/4'''
+| '''[[7/4]]'''
-| | '''8/7'''
+| '''[[8/7]]'''
-| | 10/9
+| [[10/9]]
-| | 9/5
+| [[9/5]]
-| | '''9/8'''
+| '''[[9/8]]'''
-| | '''16/9'''
+| '''[[16/9]]'''
 |-
-| | steps in 218edo:
+! Steps in 218edo
-| | 128
+| 128
-| | 90
+| 90
-| | 70
+| 70
-| | 148
+| 148
-| | 161
+| 161
-| | 57
+| 57
-| | '''176'''
+| '''176'''
-| | '''42'''
+| '''42'''
-| | 33
+| 33
-| | 185
+| 185
-| | '''37'''
+| '''37'''
-| | '''181'''
+| '''181'''
 |}
-^ this table shows the nearest matches for the interval, not the matches from the patent val
+^ this table shows the nearest matches for the interval, not the matches from the [[patent val]]
-Suggested subgroups: 2.9.7.17 and 2.9.5.7.11.17.
+Suggested [[subgroup]]s: 2.9.7.17 and 2.9.5.7.11.17.
 Also explore [[436edo]].
-Commas using the 13-limit patent val:
+Commas using the [[13-limit]] patent val:
--limit: 1/1
+; [[3-limit]]: 1/1
--limit: 20000/19683
+; [[5-limit]]: 20000/19683
--limit: 4000/3969 65625/65536 245/243 2401/2400 60025/59049
+; [[7-limit]]: 4000/3969 65625/65536 245/243 2401/2400 60025/59049
--limit: 4000/3993 12005/11979 16384/16335 4375/4356 78125/77616 896/891 67228/66825 1375/1372 6875/6804 5632/5625 385/384 94325/93312 15488/15435 75625/75264 15488/15309 3388/3375 1331/1323 6655/6561 65219/64800 43923/43904 73205/72576
+; [[11-limit]]: 4000/3993 12005/11979 16384/16335 4375/4356 78125/77616 896/891 67228/66825 1375/1372 6875/6804 5632/5625 385/384 94325/93312 15488/15435 75625/75264 15488/15309 3388/3375 1331/1323 6655/6561 65219/64800 43923/43904 73205/72576
--limit: 28672/28561 86240/85683 20480/20449 5600/5577 16807/16731 25000/24843 6125/6084 86625/86528 68992/68445 58080/57967 96800/95823 847/845 41503/41067 33275/33124 65219/64896 29575/29403 4225/4224 21632/21609 676/675 33124/32805 9295/9261 46475/45927 13013/12960 28561/28512
+; [[13-limit]]: 28672/28561 86240/85683 20480/20449 5600/5577 16807/16731 25000/24843 6125/6084 86625/86528 68992/68445 58080/57967 96800/95823 847/845 41503/41067 33275/33124 65219/64896 29575/29403 4225/4224 21632/21609 676/675 33124/32805 9295/9261 46475/45927 13013/12960 28561/28512
 [[Category:Stub]]
+[[Category:Edo]]