17-odd-limit: Difference between revisions

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-This is a list of [[17-odd-limit]] intervals. Also see [[17-limit]].
+{{Odd-limit navigation|17}}
+{{Odd-limit intro|17}}
-<ul><li>[[18/17]], [[17/9]]</li><li>[[17/16]], [[32/17]]</li><li>[[16/15]], [[15/8]]</li><li>[[15/14]], [[28/15]]</li><li>[[14/13]], [[13/7]]</li><li>[[13/12]], [[24/13]]</li><li>[[12/11]], [[11/6]]</li><li>[[11/10]], [[20/11]]</li><li>[[10/9]], [[9/5]]</li><li>[[9/8]], [[16/9]]</li><li>[[17/15]], [[30/17]]</li><li>[[8/7]], [[7/4]]</li><li>[[15/13]], [[26/15]]</li><li>[[7/6]], [[12/7]]</li><li>[[20/17]], [[17/10]]</li><li>[[13/11]], [[22/13]]</li><li>[[6/5]], [[5/3]]</li><li>[[17/14]], [[28/17]]</li><li>[[11/9]], [[18/11]]</li><li>[[16/13]], [[13/8]]</li><li>[[5/4]], [[8/5]]</li><li>[[14/11]], [[11/7]]</li><li>[[9/7]], [[14/9]]</li><li>[[22/17]], [[17/11]]</li><li>[[13/10]], [[20/13]]</li><li>[[17/13]], [[26/17]]</li><li>[[4/3]], [[3/2]]</li><li>[[15/11]], [[22/15]]</li><li>[[11/8]], [[16/11]]</li><li>[[18/13]], [[13/9]]</li><li>[[7/5]], [[10/7]]</li><li>[[24/17]], [[17/12]]</li></ul>
+* [[1/1]]
+* '''[[18/17]], [[17/9]]'''
+* '''[[17/16]], [[32/17]]'''
+* [[16/15]], [[15/8]]
+* [[15/14]], [[28/15]]
+* [[14/13]], [[13/7]]
+* [[13/12]], [[24/13]]
+* [[12/11]], [[11/6]]
+* [[11/10]], [[20/11]]
+* [[10/9]], [[9/5]]
+* [[9/8]], [[16/9]]
+* '''[[17/15]], [[30/17]]'''
+* [[8/7]], [[7/4]]
+* [[15/13]], [[26/15]]
+* [[7/6]], [[12/7]]
+* '''[[20/17]], [[17/10]]'''
+* [[13/11]], [[22/13]]
+* [[6/5]], [[5/3]]
+* '''[[17/14]], [[28/17]]'''
+* [[11/9]], [[18/11]]
+* [[16/13]], [[13/8]]
+* [[5/4]], [[8/5]]
+* [[14/11]], [[11/7]]
+* [[9/7]], [[14/9]]
+* '''[[22/17]], [[17/11]]'''
+* [[13/10]], [[20/13]]
+* '''[[17/13]], [[26/17]]'''
+* [[4/3]], [[3/2]]
+* [[15/11]], [[22/15]]
+* [[11/8]], [[16/11]]
+* [[18/13]], [[13/9]]
+* [[7/5]], [[10/7]]
+* '''[[24/17]], [[17/12]]'''
+{| class="wikitable center-all right-2 left-5"
+! Ratio
+! Size ([[cents|¢]])
+! colspan="2" | [[Color name]]
+! Name
+|-
+| [[18/17]]
+| 98.955
+| 17u1
+| su unison
+| small septendecimal semitone
+|-
+| [[17/16]]
+| 104.955
+| 17o2
+| iso 2nd
+| large septendecimal semitone
+|-
+| [[17/15]]
+| 216.687
+| 17og3
+| sogu 3rd
+| septendecimal whole tone
+|-
+| [[20/17]]
+| 281.358
+| 17uy2
+| suyo 2nd
+| septendecimal minor third
+|-
+| [[17/14]]
+| 336.130
+| 17or3
+| soru 3rd
+| septendecimal supraminor third
+|-
+| [[22/17]]
+| 446.363
+| 17u1o3
+| sulo 3rd
+| septendecimal supermajor third
+|-
+| [[17/13]]
+| 464.428
+| 17o3u4
+| sothu 4th
+| septendecimal sub-fourth
+|-
+| [[24/17]]
+| 597.000
+| 17u4
+| su 4th
+| lesser septendecimal tritone
+|-
+| [[17/12]]
+| 603.000
+| 17o5
+| iso 5th
+| greater septendecimal tritone
+|-
+| [[26/17]]
+| 735.572
+| 17u3o5
+| sutho 5th
+| septendecimal super-fifth
+|-
+| [[17/11]]
+| 753.637
+| 17o1u6
+| solu 6th
+| septendecimal subminor sixth
+|-
+| [[28/17]]
+| 863.870
+| 17uz6
+| suzo 6th
+| septendecimal submajor sixth
+|-
+| [[17/10]]
+| 918.642
+| 17og7
+| sogu 7th
+| septendecimal major sixth
+|-
+| [[30/17]]
+| 983.313
+| 17uy6
+| suyo 6th
+| septendecimal minor seventh
+|-
+| [[32/17]]
+| 1095.045
+| 17u7
+| su 7th
+| small septendecimal major seventh
+|-
+| [[17/9]]
+| 1101.045
+| 17o8
+| iso octave
+| large septendecimal major seventh
+|}
+The smallest [[equal division of the octave]] which is consistent in the 17-odd-limit is [[58edo]].
+The one which is distinctly consistent in the same is [[149edo]].
+== See also ==
+* [[17-limit]] ([[prime limit]])
+[[Category:17-odd-limit| ]] <!-- main article -->