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| == Approximation to JI == | | == Approximation to JI == |
| [[File:19ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 19-limit intervals approximated in 19edo]] | | [[File:19ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 19-limit intervals approximated in 19edo]] |
| === 15-odd-limit interval mappings === | | === Interval mappings === |
| The following table shows how [[15-odd-limit intervals]] are represented in 19edo. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''.
| | {{Q-odd-limit intervals|19}} |
| | |
| {| class="wikitable center-all mw-collapsible mw-collapsed" | |
| |+style=white-space:nowrap| 15-odd-limit intervals by direct approximation (even if inconsistent)
| |
| ! Interval, complement
| |
| ! Error (abs, [[Cent|¢]])
| |
| ! Error (rel, [[Relative cent|%]])
| |
| |-
| |
| | [[6/5]], [[5/3]]
| |
| | 0.148
| |
| | 0.2
| |
| |-
| |
| | [[14/13]], [[13/7]]
| |
| | 1.982
| |
| | 3.1
| |
| |-
| |
| | [[15/13]], [[26/15]]
| |
| | 4.891
| |
| | 7.7
| |
| |-
| |
| | [[18/13]], [[13/9]]
| |
| | 5.039
| |
| | 8.0
| |
| |-
| |
| | [[15/14]], [[28/15]]
| |
| | 6.873
| |
| | 10.9
| |
| |-
| |
| | [[9/7]], [[14/9]]
| |
| | 7.021
| |
| | 11.1
| |
| |-
| |
| | [[10/9]], [[9/5]]
| |
| | 7.070
| |
| | 11.2
| |
| |-
| |
| | '''[[4/3]], [[3/2]]'''
| |
| | '''7.218'''
| |
| | '''11.4'''
| |
| |-
| |
| | '''[[5/4]], [[8/5]]'''
| |
| | '''7.366'''
| |
| | '''11.7'''
| |
| |-
| |
| | [[13/10]], [[20/13]]
| |
| | 12.109
| |
| | 19.2
| |
| |-
| |
| | [[13/12]], [[24/13]]
| |
| | 12.257
| |
| | 19.4
| |
| |-
| |
| | [[7/5]], [[10/7]]
| |
| | 14.091
| |
| | 22.3
| |
| |-
| |
| | [[7/6]], [[12/7]]
| |
| | 14.239
| |
| | 22.5
| |
| |-
| |
| | [[9/8]], [[16/9]]
| |
| | 14.436
| |
| | 22.9
| |
| |-
| |
| | [[16/15]], [[15/8]]
| |
| | 14.585
| |
| | 23.1
| |
| |-
| |
| | '''[[11/8]], [[16/11]]'''
| |
| | '''17.103'''
| |
| | '''27.1'''
| |
| |-
| |
| | '''[[16/13]], [[13/8]]'''
| |
| | '''19.475'''
| |
| | '''30.8'''
| |
| |-
| |
| | '''[[8/7]], [[7/4]]'''
| |
| | '''21.457'''
| |
| | '''34.0'''
| |
| |-
| |
| | [[12/11]], [[11/6]]
| |
| | 24.321
| |
| | 38.5
| |
| |-
| |
| | [[11/10]], [[20/11]]
| |
| | 24.469
| |
| | 38.7
| |
| |-
| |
| | ''[[14/11]], [[11/7]]''
| |
| | ''24.597''
| |
| | ''38.9''
| |
| |-
| |
| | ''[[13/11]], [[22/13]]''
| |
| | ''26.580''
| |
| | ''42.1''
| |
| |-
| |
| | ''[[15/11]], [[22/15]]''
| |
| | ''31.470''
| |
| | ''49.8''
| |
| |-
| |
| | [[11/9]], [[18/11]]
| |
| | 31.539
| |
| | 49.9
| |
| |}
| |
| {{15-odd-limit|19}}
| |
|
| |
|
| == Regular temperament properties == | | == Regular temperament properties == |