42edo: Difference between revisions

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Add section on octave stretch
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* [[zpi|189zpi]] (~41.83edo)
* [[zpi|189zpi]] (~41.83edo)
* [[Ed257/128#42ed257/128|42ed257/128]]
* [[Ed257/128#42ed257/128|42ed257/128]]
These improve 3/1 and 5/1 at the cost of worsening 11/1.


Compressed versions of 42edo include
Compressed versions of 42edo include
* [[zpi|191zpi]] (~42.19edo)
* [[zpi|191zpi]] (~42.19edo)
* [[Ed255/128#42ed255/128|42ed255/128]]
* [[Ed255/128#42ed255/128|42ed255/128]]
These improve 3/1, 5/1 and 13/1 at the cost of worsening 7/1.
Comparison of relative error:
{| class="wikitable sortable mw-collapsible mw-collapsed"
|+
!Relative error of
!42ed257/128
!42edo
!42ed255/128
|-
!2nd harmonic
|23.5%
|0.0%
|23.9%
|-
!3rd harmonic
|19.6%
|43.2%
|5.4%
|-
!5th harmonic
|2.4%
|47.9%
|7.5%
|-
!7th harmonic
|24.9%
|9.1%
|42.2%
|-
!11th harmonic
|48.3%
|29.6%
|12.1%
|-
!13th harmonic
|45.1%
|41.8%
|30.1%
|}


== Intervals ==
== Intervals ==