21-odd-limit: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
m removed octave kept unisone
Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
m simplified wiki markup
Line 1: Line 1:
{{odd-limit navigation}}
{{odd-limit navigation}}
This is a list of '''21-[[odd-limit]]''' intervals. To [[19-odd-limit]], it adds 6 additional interval pairs involving 21.
This is a list of '''21-[[odd-limit]]''' intervals. To [[19-odd-limit]], it adds 6 interval pairs involving 21.


* [[1/1]]
* [[1/1]]
*'''[[22/21]]''', '''[[21/11]]'''
* '''[[22/21]], [[21/11]]'''
*'''[[21/20]]''', '''[[40/21]]'''
* '''[[21/20]], [[40/21]]'''
*[[20/19]], [[19/10]]
* [[20/19]], [[19/10]]
*[[19/18]], [[36/19]]
* [[19/18]], [[36/19]]
*[[18/17]], [[17/9]]
* [[18/17]], [[17/9]]
*[[17/16]], [[32/17]]
* [[17/16]], [[32/17]]
*[[16/15]], [[15/8]]
* [[16/15]], [[15/8]]
*[[15/14]], [[28/15]]
* [[15/14]], [[28/15]]
*[[14/13]], [[13/7]]
* [[14/13]], [[13/7]]
*[[13/12]], [[24/13]]
* [[13/12]], [[24/13]]
*[[12/11]], [[11/6]]
* [[12/11]], [[11/6]]
*[[11/10]], [[20/11]]
* [[11/10]], [[20/11]]
*'''[[21/19]]''', '''[[38/21]]'''
* '''[[21/19]], [[38/21]]'''
*[[10/9]], [[9/5]]
* [[10/9]], [[9/5]]
*[[19/17]], [[34/19]]
* [[19/17]], [[34/19]]
*[[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]]
*[[22/19]], [[19/11]]
* [[22/19]], [[19/11]]
*[[7/6]], [[12/7]]
* [[7/6]], [[12/7]]
*[[20/17]], [[17/10]]
* [[20/17]], [[17/10]]
*[[13/11]], [[22/13]]
* [[13/11]], [[22/13]]
*[[19/16]], [[32/19]]
* [[19/16]], [[32/19]]
*[[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]]
*'''[[21/17]]''', '''[[34/21]]'''
* '''[[21/17]], [[34/21]]'''
*'''[[26/21]]''', '''[[21/13]]'''
* '''[[26/21]], [[21/13]]'''
*[[5/4]], [[8/5]]
* [[5/4]], [[8/5]]
*[[24/19]], [[19/12]]
* [[24/19]], [[19/12]]
*[[19/15]], [[30/19]]
* [[19/15]], [[30/19]]
*[[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]]
*'''[[21/16]]''', '''[[32/21]]'''
* '''[[21/16]], [[32/21]]'''
*[[4/3]], [[3/2]]
* [[4/3]], [[3/2]]
*[[19/14]], [[28/19]]
* [[19/14]], [[28/19]]
*[[15/11]], [[22/15]]
* [[15/11]], [[22/15]]
*[[26/19]], [[19/13]]
* [[26/19]], [[19/13]]
*[[11/8]], [[16/11]]
* [[11/8]], [[16/11]]
*[[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(s)
|-
|-
! | Ratio
| [[22/21]]
! | Cents Value
| 80.537
! colspan="2" |[[Kite's color notation|Color name]]
| 1or1
! | Name
| loru unison
| undecimal chromatic semitone
|-
|-
| | [[22/21]]
| [[21/20]]
| | 80.537
| 84.467
| | 1or1
| zg2
| | loru unison
| zogu 2nd
| | undecimal chromatic semitone
| septimal chromatic semitone / greater septimal chroma
|-
|-
| | [[21/20]]
| [[21/19]]
| | 84.467
| 173.268
| | zg2
| 19uz2
| | zogu 2nd
| nuzo 2nd
| | septimal chromatic semitone / greater septimal chroma
| small undevicesimal whole tone
|-
|-
| | [[21/19]]
| [[21/17]]
| | 173.268
| 365.825
| | 19uz2
| 17uz3
| | nuzo 2nd
| suzo 3rd
| | small undevicesimal whole tone
| septendecimal submajor third
|-
|-
| | [[21/17]]
| [[26/21]]
| | 365.825
| 369.747
| | 17uz3
| 3or3
| | suzo 3rd
| thoru 3rd
| | septendecimal submajor third
| tridecimal submajor third
|-
|-
| | [[26/21]]
| [[21/16]]
| | 369.747
| 470.781
| | 3or3
| z4
| | thoru 3rd
| zo 4th
| | tridecimal submajor third
| septimal sub-fourth
|-
|-
| | [[21/16]]
| [[32/21]]
| | 470.781
| 729.219
| | z4
| r5
| | zo 4th
| ru 5th
| | septimal sub-fourth
| septimal super-fifth
|-
|-
| | [[32/21]]
| [[21/13]]
| | 729.219
| 830.253
| | r5
| 3uz6
| | ru 5th
| thuzo 6th
| | septimal super-fifth
| tridecimal supraminor sixth
|-
|-
| | [[21/13]]
| [[34/21]]
| | 830.253
| 834.175
| | 3uz6
| 17or6
| | thuzo 6th
| soru 6th
| | tridecimal supraminor sixth
| septendecimal supraminor sixth
|-
|-
| | [[34/21]]
| [[38/21]]
| | 834.175
| 1026.732
| | 17or6
| 19or7
| | soru 6th
| noru 7th
| | septendecimal supraminor sixth
| large undevicesimal minor seventh
|-
|-
| | [[38/21]]
| [[40/21]]
| | 1026.732
| 1115.533
| | 19or7
| ry7
| | noru 7th
| ruyo 7th
| | large undevicesimal minor seventh
| large septimal major seventh
|-
|-
| | [[40/21]]
| [[21/11]]
| | 1115.533
| 1119.463
| | ry7
| 1uz8
| | ruyo 7th
| luzo octave
| | large septimal major seventh
| undecimal diminished octave
|-
| | [[21/11]]
| | 80.537
| | 1uz8
| | luzo octave
| | undecimal diminished octave
|}
|}


[[Category:Just interval]]
[[Category:Just interval]]
[[Category:Odd limit]]
[[Category:Odd limit]]

Revision as of 19:07, 10 June 2020

1-odd-limit  3-odd-limit →

This is a list of 21-odd-limit intervals. To 19-odd-limit, it adds 6 interval pairs involving 21.

Ratio Size (¢) Color name Name(s)
22/21 80.537 1or1 loru unison undecimal chromatic semitone
21/20 84.467 zg2 zogu 2nd septimal chromatic semitone / greater septimal chroma
21/19 173.268 19uz2 nuzo 2nd small undevicesimal whole tone
21/17 365.825 17uz3 suzo 3rd septendecimal submajor third
26/21 369.747 3or3 thoru 3rd tridecimal submajor third
21/16 470.781 z4 zo 4th septimal sub-fourth
32/21 729.219 r5 ru 5th septimal super-fifth
21/13 830.253 3uz6 thuzo 6th tridecimal supraminor sixth
34/21 834.175 17or6 soru 6th septendecimal supraminor sixth
38/21 1026.732 19or7 noru 7th large undevicesimal minor seventh
40/21 1115.533 ry7 ruyo 7th large septimal major seventh
21/11 1119.463 1uz8 luzo octave undecimal diminished octave
Retrieved from "https://en.xen.wiki/index.php?title=21-odd-limit&oldid=46386"