16/15: Difference between revisions

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== Approximation ==
== Approximation ==
16/15 is very accurately approximated by [[43edo]] (4\43).
16/15 is very accurately approximated by [[43edo]] (4\43).
{{Interval edo approximation|16/15}}


== Temperaments ==
== Temperaments ==
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* [[Stockhausenic]]
* [[Stockhausenic]]


In addition, this [[fractional-octave temperaments]] are generated by a ~16/15:
In addition, the following [[fractional-octave temperaments]] are generated by a ~16/15:
* [[Quintosec]]
* [[Quintosec]]
{{todo|complete list}}
{{Todo|complete list}}
 
Some [[11th-octave temperaments]] treat ~16/15 as the period, including [[hendecatonic (temperament)|hendecatonic]].


Some [[11th-octave temperaments]] treat ~16/15 as the period, including [[hendecatonic]].
{| class="wikitable"
|+ EDO Approximations for 16/15
|-
! EDO !! Step size !! Absolute Error ([[Cent|¢]]) !! [[Relative_interval_error|Relative Error]] ([[Relative_cent|%]])
|-
| [[10edo|10]] || 1\10 || +8.27 || +6.89
|-
| [[11edo|11]] || 1\11 || -2.64 || -2.42
|-
| [[21edo|21]] || 2\21 || +2.55 || +4.47
|-
| [[22edo|22]] || 2\22 || -2.64 || -4.84
|-
| [[32edo|32]] || 3\32 || +0.77 || +2.05
|-
| [[33edo|33]] || 3\33 || -2.64 || -7.26
|-
| [[42edo|42]] || 4\42 || +2.55 || +8.94
|-
| [[43edo|43]] || 4\43 || -0.10 || -0.37
|-
| [[53edo|53]] || 5\53 || +1.48 || +6.52
|-
| [[54edo|54]] || 5\54 || -0.62 || -2.79
|}
== See also ==
== See also ==
* [[15/8]] – its [[octave complement]]
* [[15/8]] – its [[octave complement]]
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[[Category:Semitone]]
[[Category:Semitone]]
[[Category:Father]]
[[Category:Father]]
[[Category:Commas named after their interval size]]
[[Category:Commas named for the generator of their temperament]]