15-odd-limit: Difference between revisions
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This is a list of '''15-[[odd-limit]]''' intervals. To [[13-odd-limit]], it adds four interval pairs involving 15. | This is a list of '''15-[[odd-limit]]''' intervals. To [[13-odd-limit]], it adds four interval pairs involving 15. | ||
This collection of intervals has proven to be useful for illustrating certain characteristics of medium-sized [[EDO]]s ( | This collection of intervals has proven to be useful for illustrating certain characteristics of medium-sized [[EDO]]s (~15 to 41 steps). | ||
* [[1/1]] | * [[1/1]] | ||
* '''[[16/15]] | * '''[[16/15]], [[15/8]]''' | ||
* '''[[15/14]], [[28/15]]''' | * '''[[15/14]], [[28/15]]''' | ||
* [[14/13]], [[13/7]] | * [[14/13]], [[13/7]] | ||
| Line 14: | Line 14: | ||
* [[9/8]], [[16/9]] | * [[9/8]], [[16/9]] | ||
* [[8/7]], [[7/4]] | * [[8/7]], [[7/4]] | ||
* '''[[15/13]] | * '''[[15/13]], [[26/15]]''' | ||
* [[7/6]], [[12/7]] | * [[7/6]], [[12/7]] | ||
* [[13/11]], [[22/13]] | * [[13/11]], [[22/13]] | ||
| Line 25: | Line 25: | ||
* [[13/10]], [[20/13]] | * [[13/10]], [[20/13]] | ||
* [[4/3]], [[3/2]] | * [[4/3]], [[3/2]] | ||
* '''[[15/11]] | * '''[[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" | {| class="wikitable center-all right-2 left-5" | ||
! Ratio | |||
! Size ([[cents|¢]]) | |||
! colspan="2" | [[Color name]] | |||
! Name(s) | |||
|- | |- | ||
| [[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, tridecimal second-third | ||
|- | |- | ||
| [[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, tridecimal sixth-seventh | ||
|- | |- | ||
| [[28/15]] | |||
| | | 1080.557 | ||
| | | zg8 | ||
| | | zogu octave | ||
| | | small septimal major seventh | ||
|- | |- | ||
| [[15/8]] | |||
| 1088.269 | |||
| y7 | |||
| yo 7th | |||
| just major seventh | |||
|} | |} | ||