15-odd-limit: Difference between revisions
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use the proper centered tilde. in some fonts "(~15 .. 41 steps)" looks like "(˜15 .. 41 steps)" which is bad. |
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This is a list of 15-[[Odd limit|odd-limit]] intervals. It has proven helpful for showing JI properties of medium-sized [[EDO]] systems (∼15 .. 41 steps). To [[13-odd-limit]], it adds four additional interval pairs involving 15. | This is a list of 15-[[Odd limit|odd-limit]] intervals. It has proven helpful for showing JI properties of medium-sized [[EDO]] systems (∼15 .. 41 steps). To [[13-odd-limit]], it adds four additional interval pairs involving 15. | ||
* [[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]] | ||
| Line 10: | Line 10: | ||
* [[9/8]], [[16/9]] | * [[9/8]], [[16/9]] | ||
* [[8/7]], [[7/4]] | * [[8/7]], [[7/4]] | ||
* [[15/13]], [[26/15]] | * '''[[15/13]]''', '''[[26/15]]''' | ||
* [[7/6]], [[12/7]] | * [[7/6]], [[12/7]] | ||
* [[13/11]], [[22/13]] | * [[13/11]], [[22/13]] | ||
| Line 21: | Line 21: | ||
* [[13/10]], [[20/13]] | * [[13/10]], [[20/13]] | ||
* [[4/3]], [[3/2]] | * [[4/3]], [[3/2]] | ||
* [[15/11]], [[22/15]] | * '''[[15/11]]''', '''[[22/15]]''' | ||
* [[11/8]], [[16/11]] | * [[11/8]], [[16/11]] | ||
* [[18/13]], [[13/9]] | * [[18/13]], [[13/9]] | ||
* [[7/5]], [[10/7| | * [[7/5]], [[10/7]] | ||
{| class="wikitable" | |||
|- | |||
! | Ratio | |||
! | Cents Value | |||
! colspan="2" |[[Kite's color notation|Color Name]] | |||
! | Name | |||
|- | |||
| | [[16/15]] | |||
| | 111.731 | |||
| | g2 | |||
| | gu 2nd | |||
| | classic diatonic semitone | |||
|- | |||
| | [[15/14]] | |||
| | 119.443 | |||
| | ry1 | |||
| | ruyo unison | |||
| | septimal diatonic semitone | |||
|- | |||
| | [[15/13]] | |||
| | 247.741 | |||
| | 3uy2 | |||
| | thuyo 2nd | |||
| | tridecimal supermajor second | |||
|- | |||
| | [[15/11]] | |||
| | 536.951 | |||
| | 1uy4 | |||
| | luyo 4th | |||
| | undecimal acute fourth | |||
|- | |||
| | [[22/15]] | |||
| | 663.049 | |||
| | 1og5 | |||
| | logu 5th | |||
| | undecimal grave fifth | |||
|- | |||
| | [[26/15]] | |||
| | 952.259 | |||
| | 3og7 | |||
| | thogu 7th | |||
| | tridecimal subminor seventh | |||
|- | |||
| | [[28/15]] | |||
| | 1080.557 | |||
| | zg8 | |||
| | zogu octave | |||
| | small septimal major seventh | |||
|- | |||
| | [[15/8]] | |||
| | 1088.269 | |||
| | y7 | |||
| | yo 7th | |||
| | just major seventh | |||
|} | |||
[[Category:15-limit-diamond]] | [[Category:15-limit-diamond]] | ||
[[Category:Just interval]] | [[Category:Just interval]] | ||
Revision as of 10:51, 15 June 2019
This is a list of 15-odd-limit intervals. It has proven helpful for showing JI properties of medium-sized EDO systems (∼15 .. 41 steps). To 13-odd-limit, it adds four additional interval pairs involving 15.
- 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
- 8/7, 7/4
- 15/13, 26/15
- 7/6, 12/7
- 13/11, 22/13
- 6/5, 5/3
- 11/9, 18/11
- 16/13, 13/8
- 5/4, 8/5
- 14/11, 11/7
- 9/7, 14/9
- 13/10, 20/13
- 4/3, 3/2
- 15/11, 22/15
- 11/8, 16/11
- 18/13, 13/9
- 7/5, 10/7
| Ratio | Cents Value | Color Name | Name | |
|---|---|---|---|---|
| 16/15 | 111.731 | g2 | gu 2nd | classic diatonic semitone |
| 15/14 | 119.443 | ry1 | ruyo unison | septimal diatonic semitone |
| 15/13 | 247.741 | 3uy2 | thuyo 2nd | tridecimal supermajor second |
| 15/11 | 536.951 | 1uy4 | luyo 4th | undecimal acute fourth |
| 22/15 | 663.049 | 1og5 | logu 5th | undecimal grave fifth |
| 26/15 | 952.259 | 3og7 | thogu 7th | tridecimal subminor seventh |
| 28/15 | 1080.557 | zg8 | zogu octave | small septimal major seventh |
| 15/8 | 1088.269 | y7 | yo 7th | just major seventh |