53edo: Difference between revisions

Fredg999 category edits (talk | contribs)
JI approximation: use the module for the error table (and +rel error to the direct approx table)
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{| class="wikitable center-all mw-collapsible mw-collapsed"
{| class="wikitable center-all mw-collapsible mw-collapsed"
|+style=white-space:nowrap| Direct mapping (even if inconsistent)
|+style=white-space:nowrap| 15-odd-limit intervals by direct mapping (even if inconsistent)
|-
|-
! Interval, complement
! Interval, complement
! Error (abs, [[Cent|¢]])
! Error (abs, [[Cent|¢]])
! Error (rel, [[Relative cent|%]])
|-  
|-  
| '''[[4/3]], [[3/2]]'''  
| '''[[3/2]], [[4/3]]'''
| '''0.068'''  
| '''0.068'''
| '''0.3'''
|-  
|-  
| [[9/8]], [[16/9]]  
| [[9/8]], [[16/9]]
| 0.136  
| 0.136
| 0.6
|-  
|-  
| [[10/9]], [[9/5]]  
| [[9/5]], [[10/9]]
| 1.272  
| 1.272
| 5.6
|-  
|-  
| [[15/13]], [[26/15]]  
| [[15/13]], [[26/15]]
| 1.316  
| 1.316
| 5.8
|-  
|-  
| [[6/5]], [[5/3]]  
| [[5/3]], [[6/5]]
| 1.340
| 1.340
| 5.9
|-  
|-  
| [[13/10]], [[20/13]]  
| [[13/10]], [[20/13]]
| 1.384  
| 1.384
| 6.1
|-  
|-  
| '''[[5/4]], [[8/5]]'''  
| '''[[5/4]], [[8/5]]'''
| '''1.408'''  
| '''1.408'''
| '''6.2'''
|-  
|-  
| [[16/15]], [[15/8]]  
| [[15/8]], [[16/15]]
| 1.476  
| 1.476
| 6.5
|-  
|-  
| [[18/13]], [[13/9]]  
| [[13/9]], [[18/13]]
| 2.655  
| 2.655
| 11.7
|-  
|-  
| [[13/12]], [[24/13]]  
| [[13/12]], [[24/13]]
| 2.724  
| 2.724
| 12.0
|-  
|-  
| '''[[16/13]], [[13/8]]'''  
| '''[[13/8]], [[16/13]]'''
| '''2.792'''  
| '''2.792'''
| '''12.3'''
|-  
|-  
| '''[[8/7]], [[7/4]]'''  
| '''[[7/4]], [[8/7]]'''
| '''4.759'''  
| '''4.759'''
| '''21.0'''
|-  
|-  
| [[7/6]], [[12/7]]  
| [[7/6]], [[12/7]]
| 4.827  
| 4.827
| 21.3
|-  
|-  
| [[9/7]], [[14/9]]  
| [[9/7]], [[14/9]]
| 4.895  
| 4.895
| 21.6
|-  
|-  
| [[13/11]], [[22/13]]  
| [[13/11]], [[22/13]]
| 5.130
| 5.130
| 22.7
|-  
|-  
| [[7/5]], [[10/7]]  
| [[7/5]], [[10/7]]
| 6.167  
| 6.167
| 27.2
|-  
|-  
| [[15/14]], [[28/15]]  
| [[15/14]], [[28/15]]
| 6.235  
| 6.235
| 27.5
|-  
|-  
| [[15/11]], [[22/15]]  
| [[15/11]], [[22/15]]
| 6.445  
| 6.445
| 28.5
|-  
|-  
| [[11/10]], [[20/11]]  
| [[11/10]], [[20/11]]
| 6.514  
| 6.514
| 28.8
|-  
|-  
| [[14/13]], [[13/7]]  
| [[13/7]], [[14/13]]
| 7.551  
| 7.551
| 33.3
|-  
|-  
| [[11/9]], [[18/11]]  
| [[11/9]], [[18/11]]
| 7.785  
| 7.785
| 34.4
|-  
|-  
| [[12/11]], [[11/6]]  
| [[11/6]], [[12/11]]
| 7.854  
| 7.854
| 34.7
|-  
|-  
| '''[[11/8]], [[16/11]]'''  
| '''[[11/8]], [[16/11]]'''
| '''7.922'''  
| '''7.922'''
| '''35.0'''
|-  
|-  
| ''[[14/11]], [[11/7]]''
| ''[[11/7]], [[14/11]]''
| ''9.961''  
| ''9.961''
| ''44.0''
|}
|}
{{15-odd-limit|53}}


== Regular temperament properties ==
== Regular temperament properties ==