15-odd-limit: Difference between revisions
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]] | ||
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* [[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]] | ||
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* [[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]] | ||