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| === 15-odd-limit interval mappings === | | === 15-odd-limit interval mappings === |
| The following table shows how [[15-odd-limit intervals]] are represented in 53edo. Octave-reduced prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''.
| | {{Q-odd-limit intervals|53}} |
| | |
| {| class="wikitable center-all mw-collapsible mw-collapsed" | |
| |+style=white-space:nowrap| 15-odd-limit intervals by direct mapping (even if inconsistent)
| |
| |-
| |
| ! Interval, complement
| |
| ! Error (abs, [[Cent|¢]])
| |
| ! Error (rel, [[Relative cent|%]])
| |
| |-
| |
| | '''[[3/2]], [[4/3]]'''
| |
| | '''0.068'''
| |
| | '''0.3'''
| |
| |-
| |
| | [[9/8]], [[16/9]]
| |
| | 0.136
| |
| | 0.6
| |
| |-
| |
| | [[9/5]], [[10/9]]
| |
| | 1.272
| |
| | 5.6
| |
| |-
| |
| | [[15/13]], [[26/15]]
| |
| | 1.316
| |
| | 5.8
| |
| |-
| |
| | [[5/3]], [[6/5]]
| |
| | 1.340
| |
| | 5.9
| |
| |-
| |
| | [[13/10]], [[20/13]]
| |
| | 1.384
| |
| | 6.1
| |
| |-
| |
| | '''[[5/4]], [[8/5]]'''
| |
| | '''1.408'''
| |
| | '''6.2'''
| |
| |-
| |
| | [[15/8]], [[16/15]]
| |
| | 1.476
| |
| | 6.5
| |
| |-
| |
| | [[13/9]], [[18/13]]
| |
| | 2.655
| |
| | 11.7
| |
| |-
| |
| | [[13/12]], [[24/13]]
| |
| | 2.724
| |
| | 12.0
| |
| |-
| |
| | '''[[13/8]], [[16/13]]'''
| |
| | '''2.792'''
| |
| | '''12.3'''
| |
| |-
| |
| | '''[[7/4]], [[8/7]]'''
| |
| | '''4.759'''
| |
| | '''21.0'''
| |
| |-
| |
| | [[7/6]], [[12/7]]
| |
| | 4.827
| |
| | 21.3
| |
| |-
| |
| | [[9/7]], [[14/9]]
| |
| | 4.895
| |
| | 21.6
| |
| |-
| |
| | [[13/11]], [[22/13]]
| |
| | 5.130
| |
| | 22.7
| |
| |-
| |
| | [[7/5]], [[10/7]]
| |
| | 6.167
| |
| | 27.2
| |
| |-
| |
| | [[15/14]], [[28/15]]
| |
| | 6.235
| |
| | 27.5
| |
| |-
| |
| | [[15/11]], [[22/15]]
| |
| | 6.445
| |
| | 28.5
| |
| |-
| |
| | [[11/10]], [[20/11]]
| |
| | 6.514
| |
| | 28.8
| |
| |-
| |
| | [[13/7]], [[14/13]]
| |
| | 7.551
| |
| | 33.3
| |
| |-
| |
| | [[11/9]], [[18/11]]
| |
| | 7.785
| |
| | 34.4
| |
| |-
| |
| | [[11/6]], [[12/11]]
| |
| | 7.854
| |
| | 34.7
| |
| |-
| |
| | '''[[11/8]], [[16/11]]'''
| |
| | '''7.922'''
| |
| | '''35.0'''
| |
| |-
| |
| | ''[[11/7]], [[14/11]]''
| |
| | ''9.961''
| |
| | ''44.0''
| |
| |}
| |
| {{15-odd-limit|53}}
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| === Higher-limit JI === | | === Higher-limit JI === |