19-odd-limit: Difference between revisions

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-This is a list of 19-[[Odd limit|odd-limit]] intervals. Also see [[19-limit]].
+{{odd-limit navigation}}
+{{odd-limit intro|19}}
-*[[20/19]], [[19/10]]
+*  [[1/1]]
-*[[19/18]], [[36/19]]
+* '''[[20/19]], [[19/10]]'''
-*[[18/17]], [[17/9]]
+* '''[[19/18]], [[36/19]]'''
-*[[17/16]], [[32/17]]
+* [[18/17]], [[17/9]]
-*[[16/15]], [[15/8]]
+* [[17/16]], [[32/17]]
-*[[15/14]], [[28/15]]
+* [[16/15]], [[15/8]]
-*[[14/13]], [[13/7]]
+* [[15/14]], [[28/15]]
-*[[13/12]], [[24/13]]
+* [[14/13]], [[13/7]]
-*[[12/11]], [[11/6]]
+* [[13/12]], [[24/13]]
-*[[11/10]], [[20/11]]
+* [[12/11]], [[11/6]]
-*[[10/9]], [[9/5]]
+* [[11/10]], [[20/11]]
-*[[19/17]], [[34/19]]
+* [[10/9]], [[9/5]]
-*[[9/8]], [[16/9]]
+* '''[[19/17]], [[34/19]]'''
-*[[17/15]], [[30/17]]
+* [[9/8]], [[16/9]]
-*[[8/7]], [[7/4]]
+* [[17/15]], [[30/17]]
-*[[15/13]], [[26/15]]
+* [[8/7]], [[7/4]]
-*[[22/19]], [[19/11]]
+* [[15/13]], [[26/15]]
-*[[7/6]], [[12/7]]
+* '''[[22/19]], [[19/11]]'''
-*[[20/17]], [[17/10]]
+* [[7/6]], [[12/7]]
-*[[13/11]], [[22/13]]
+* [[20/17]], [[17/10]]
-*[[19/16]], [[32/19]]
+* [[13/11]], [[22/13]]
-*[[6/5]], [[5/3]]
+* '''[[19/16]], [[32/19]]'''
-*[[17/14]], [[28/17]]
+* [[6/5]], [[5/3]]
-*[[11/9]], [[18/11]]
+* [[17/14]], [[28/17]]
-*[[16/13]], [[13/8]]
+* [[11/9]], [[18/11]]
-*[[5/4]], [[8/5]]
+* [[16/13]], [[13/8]]
-*[[24/19]], [[19/12]]
+* [[5/4]], [[8/5]]
-*[[19/15]], [[30/19]]
+* '''[[24/19]], [[19/12]]'''
-*[[14/11]], [[11/7]]
+* '''[[19/15]], [[30/19]]'''
-*[[9/7]], [[14/9]]
+* [[14/11]], [[11/7]]
-*[[22/17]], [[17/11]]
+* [[9/7]], [[14/9]]
-*[[13/10]], [[20/13]]
+* [[22/17]], [[17/11]]
-*[[17/13]], [[26/17]]
+* [[13/10]], [[20/13]]
-*[[4/3]], [[3/2]]
+* [[17/13]], [[26/17]]
-*[[19/14]], [[28/19]]
+* [[4/3]], [[3/2]]
-*[[15/11]], [[22/15]]
+* '''[[19/14]], [[28/19]]'''
-*[[26/19]], [[19/13]]
+* [[15/11]], [[22/15]]
-*[[11/8]], [[16/11]]
+* '''[[26/19]], [[19/13]]'''
-*[[18/13]], [[13/9]]
+* [[11/8]], [[16/11]]
-*[[7/5]], [[10/7]]
+* [[18/13]], [[13/9]]
-*[[24/17]], [[17/12]]
+* [[7/5]], [[10/7]]
+* [[24/17]], [[17/12]]
-[[Category:Just interval]]
+{| class="wikitable center-all right-2 left-5"
+! Ratio
+! Size ([[cents|¢]])
+! colspan="2" | [[Color name]]
+! Name(s)
+|-
+| [[20/19]]
+| 88.801
+| 19uy1
+| nuyo unison
+| lesser undevicesimal semitone
+|-
+| [[19/18]]
+| 93.603
+| 19o2
+| ino 2nd
+| greater undevicesimal semitone
+|-
+| [[19/17]]
+| 192.558
+| 19o17u2
+| nosu 2nd
+| undevicesimal whole tone / "meantone"
+|-
+| [[22/19]]
+| 253.805
+| 19u1o2
+| nulo 2nd
+| undevicesimal second–third
+|-
+| [[19/16]]
+| 297.513
+| 19o3
+| ino 3rd
+| undevicesimal minor third
+|-
+| [[24/19]]
+| 404.442
+| 19u3
+| inu 3rd
+| lesser undevicesimal major third
+|-
+| [[19/15]]
+| 409.244
+| 19og4
+| nogu 4th
+| greater undevicesimal major third
+|-
+| [[19/14]]
+| 528.687
+| 19or4
+| noru 4th
+| undevicesimal acute fourth
+|-
+| [[26/19]]
+| 543.015
+| 19u3o4
+| nutho 4th
+| undevicesimal superfourth
+|-
+| [[19/13]]
+| 656.985
+| 19o3u5
+| nothu 5th
+| undevicesimal subfifth
+|-
+| [[28/19]]
+| 671.313
+| 19uz5
+| nuzo 5th
+| undevicesimal grave fifth
+|-
+| [[30/19]]
+| 790.756
+| 19uy5
+| nuyo 5th
+| lesser undevicesimal minor sixth
+|-
+| [[19/12]]
+| 795.558
+| 19o6
+| ino 6th
+| lesser undevicesimal minor sixth
+|-
+| [[32/19]]
+| 902.487
+| 19u6
+| inu 6th
+| undevicesimal major sixth
+|-
+| [[19/11]]
+| 946.195
+| 19o1u7
+| nolu 7th
+| undevicesimal sixth–seventh
+|-
+| [[34/19]]
+| 1007.442
+| 19u17o7
+| nuso 7th
+| undevicesimal minor seventh
+|-
+| [[36/19]]
+| 1106.397
+| 19u7
+| inu 7th
+| lesser undevicesimal major seventh
+|-
+| [[19/10]]
+| 1111.199
+| 19og8
+| nogu octave
+| greater undevicesimal major seventh
+|}
+The smallest [[equal division of the octave]] which is consistent in the 19-odd-limit is [[80edo]]; that which is distinctly consistent in the same is [[217edo]].
+== See also ==
+* [[19-limit]] ([[prime limit]])
+[[Category:19-odd-limit| ]] <!-- main article -->