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This is a list of '''17-[[odd-limit]]''' intervals. To [[15-odd-limit]], it adds 8 additional interval pairs involving 17. Also see [[17-limit]].
{{Odd-limit navigation|17}}
{{Odd-limit intro|17}}


* '''[[18/17]]''', '''[[17/9]]'''
* [[1/1]]
* '''[[17/16]]''', '''[[32/17]]'''
* '''[[18/17]], [[17/9]]'''
* '''[[17/16]], [[32/17]]'''
* [[16/15]], [[15/8]]
* [[16/15]], [[15/8]]
* [[15/14]], [[28/15]]
* [[15/14]], [[28/15]]
Line 11: Line 13:
* [[10/9]], [[9/5]]
* [[10/9]], [[9/5]]
* [[9/8]], [[16/9]]
* [[9/8]], [[16/9]]
* '''[[17/15]]''', '''[[30/17]]'''
* '''[[17/15]], [[30/17]]'''
* [[8/7]], [[7/4]]
* [[8/7]], [[7/4]]
* [[15/13]], [[26/15]]
* [[15/13]], [[26/15]]
* [[7/6]], [[12/7]]
* [[7/6]], [[12/7]]
* '''[[20/17]]''', '''[[17/10]]'''
* '''[[20/17]], [[17/10]]'''
* [[13/11]], [[22/13]]
* [[13/11]], [[22/13]]
* [[6/5]], [[5/3]]
* [[6/5]], [[5/3]]
* '''[[17/14]]''', '''[[28/17]]'''
* '''[[17/14]], [[28/17]]'''
* [[11/9]], [[18/11]]
* [[11/9]], [[18/11]]
* [[16/13]], [[13/8]]
* [[16/13]], [[13/8]]
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* [[14/11]], [[11/7]]
* [[14/11]], [[11/7]]
* [[9/7]], [[14/9]]
* [[9/7]], [[14/9]]
* '''[[22/17]]''', '''[[17/11]]'''
* '''[[22/17]], [[17/11]]'''
* [[13/10]], [[20/13]]
* [[13/10]], [[20/13]]
* '''[[17/13]]''', '''[[26/17]]'''
* '''[[17/13]], [[26/17]]'''
* [[4/3]], [[3/2]]
* [[4/3]], [[3/2]]
* [[15/11]], [[22/15]]
* [[15/11]], [[22/15]]
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* [[18/13]], [[13/9]]
* [[18/13]], [[13/9]]
* [[7/5]], [[10/7]]
* [[7/5]], [[10/7]]
* '''[[24/17]]''', '''[[17/12]]'''
* '''[[24/17]], [[17/12]]'''


{| class="wikitable"
{| class="wikitable center-all right-2 left-5"
! Ratio
! Size ([[cents|¢]])
! colspan="2" | [[Color name]]
! Name
|-
|-
! | Ratio
| [[18/17]]
! | Cents Value
| 98.955
! colspan="2" |[[Kite's color notation|Color Name]]
| 17u1
! | Name
| su unison
| small septendecimal semitone
|-
|-
| | [[18/17]]
| [[17/16]]
| | 98.955
| 104.955
| | 17u1
| 17o2
| | su unison
| iso 2nd
| | small septendecimal semitone
| large septendecimal semitone
|-
|-
| | [[17/16]]
| [[17/15]]
| | 104.955
| 216.687
| | 17o2
| 17og3
| | iso 2nd
| sogu 3rd
| | large septendecimal semitone
| septendecimal whole tone
|-
|-
| | [[17/15]]
| [[20/17]]
| | 216.687
| 281.358
| | 17og3
| 17uy2
| | sogu 3rd
| suyo 2nd
| | septendecimal whole tone
| septendecimal minor third
|-
|-
| | [[20/17]]
| [[17/14]]
| | 281.358
| 336.130
| | 17uy2
| 17or3
| | suyo 2nd
| soru 3rd
| | septendecimal minor third
| septendecimal supraminor third
|-
|-
| | [[17/14]]
| [[22/17]]
| | 336.130
| 446.363
| | 17or3
| 17u1o3
| | soru 3rd
| sulo 3rd
| | septendecimal supraminor third
| septendecimal supermajor third
|-
|-
| | [[22/17]]
| [[17/13]]
| | 446.363
| 464.428
| | 17u1o3
| 17o3u4
| | sulo 3rd
| sothu 4th
| | septendecimal supermajor third
| septendecimal sub-fourth
|-
|-
| | [[17/13]]
| [[24/17]]
| | 464.428
| 597.000
| | 17o3u4
| 17u4
| | sothu 4th
| su 4th
| | septendecimal sub-fourth
| lesser septendecimal tritone
|-
|-
| | [[24/17]]
| [[17/12]]
| | 597.000
| 603.000
| | 17u4
| 17o5
| | su 4th
| iso 5th
| | lesser septendecimal tritone
| greater septendecimal tritone
|-
|-
| | [[17/12]]
| [[26/17]]
| | 603.000
| 735.572
| | 17o5
| 17u3o5
| | iso 5th
| sutho 5th
| | greater septendecimal tritone
| septendecimal super-fifth
|-
|-
| | [[26/17]]
| [[17/11]]
| | 735.572
| 753.637
| | 17u3o5
| 17o1u6
| | sutho 5th
| solu 6th
| | septendecimal super-fifth
| septendecimal subminor sixth
|-
|-
| | [[17/11]]
| [[28/17]]
| | 753.637
| 863.870
| | 17o1u6
| 17uz6
| | solu 6th
| suzo 6th
| | septendecimal subminor sixth
| septendecimal submajor sixth
|-
|-
| | [[28/17]]
| [[17/10]]
| | 863.870
| 918.642
| | 17uz6
| 17og7
| | suzo 6th
| sogu 7th
| | septendecimal submajor sixth
| septendecimal major sixth
|-
|-
| | [[17/10]]
| [[30/17]]
| | 918.642
| 983.313
| | 17og7
| 17uy6
| | sogu 7th
| suyo 6th
| | septendecimal major sixth
| septendecimal minor seventh
|-
|-
| | [[30/17]]
| [[32/17]]
| | 983.313
| 1095.045
| | 17uy6
| 17u7
| | suyo 6th
| su 7th
| | septendecimal minor seventh
| small septendecimal major seventh
|-
|-
| | [[32/17]]
| [[17/9]]
| | 1095.045
| 1101.045
| | 17u7
| 17o8
| | su 7th
| iso octave
| | small septendecimal major seventh
| large 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:Just interval]]
[[Category:17-odd-limit| ]] <!-- main article -->
[[Category:Odd limit]]
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