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| == Approximation to JI == | | == Approximation to JI == |
| [[File:31ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 19-limit intervals approximated in 31edo]] | | [[File:31ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 19-limit intervals approximated in 31edo]] |
| === 15-odd-limit interval mappings === | | === Interval mappings === |
| The following table shows how [[15-odd-limit intervals]] are represented in 31edo. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''.
| | {{Q-odd-limit intervals|31}} |
| | |
| {| class="wikitable center-all mw-collapsible mw-collapsed" | |
| |+ style="white-space: nowrap; font-size: 110%;" | 15-odd-limit intervals by direct mapping (even if inconsistent)
| |
| |-
| |
| ! Interval, complement
| |
| ! Error (abs, [[Cent|¢]])
| |
| ! Error (rel, [[Relative cent|%]])
| |
| |-
| |
| | '''[[5/4]], [[8/5]]'''
| |
| | '''0.783'''
| |
| | '''2.0'''
| |
| |-
| |
| | [[11/9]], [[18/11]]
| |
| | 0.979
| |
| | 2.5
| |
| |-
| |
| | '''[[7/4]], [[8/7]]'''
| |
| | '''1.084'''
| |
| | '''2.8'''
| |
| |-
| |
| | [[7/5]], [[10/7]]
| |
| | 1.867
| |
| | 4.8
| |
| |-
| |
| | [[15/14]], [[28/15]]
| |
| | 3.314
| |
| | 8.6
| |
| |-
| |
| | [[7/6]], [[12/7]]
| |
| | 4.097
| |
| | 10.6
| |
| |-
| |
| | [[11/6]], [[12/11]]
| |
| | 4.202
| |
| | 10.9
| |
| |-
| |
| | [[15/8]], [[16/15]]
| |
| | 4.398
| |
| | 11.4
| |
| |-
| |
| | [[15/11]], [[22/15]]
| |
| | 4.985
| |
| | 12.9
| |
| |-
| |
| | '''[[3/2]], [[4/3]]'''
| |
| | '''5.181'''
| |
| | '''13.4'''
| |
| |-
| |
| | [[5/3]], [[6/5]]
| |
| | 5.964
| |
| | 15.4
| |
| |-
| |
| | [[11/7]], [[14/11]]
| |
| | 8.298
| |
| | 21.4
| |
| |-
| |
| | [[9/7]], [[14/9]]
| |
| | 9.278
| |
| | 24.0
| |
| |-
| |
| | '''[[11/8]], [[16/11]]'''
| |
| | '''9.382'''
| |
| | '''24.2'''
| |
| |-
| |
| | [[11/10]], [[20/11]]
| |
| | 10.166
| |
| | 26.3
| |
| |-
| |
| | [[13/10]], [[20/13]]
| |
| | 10.302
| |
| | 26.6
| |
| |-
| |
| | [[9/8]], [[16/9]]
| |
| | 10.362
| |
| | 26.8
| |
| |-
| |
| | '''[[13/8]], [[16/13]]'''
| |
| | '''11.085'''
| |
| | '''28.6'''
| |
| |-
| |
| | [[9/5]], [[10/9]]
| |
| | 11.145
| |
| | 28.8
| |
| |-
| |
| | [[13/7]], [[14/13]]
| |
| | 12.169
| |
| | 31.4
| |
| |-
| |
| | [[15/13]], [[26/15]]
| |
| | 15.483
| |
| | 40.0
| |
| |-
| |
| | [[13/12]], [[24/13]]
| |
| | 16.266
| |
| | 42.0
| |
| |-
| |
| | ''[[13/9]], [[18/13]]''
| |
| | ''17.263''
| |
| | ''44.6''
| |
| |-
| |
| | ''[[13/11]], [[22/13]]''
| |
| | ''18.242''
| |
| | ''47.1''
| |
| |}
| |
| {{15-odd-limit|31}}
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| == Relationship to 12-edo == | | == Relationship to 12-edo == |