42edo: Difference between revisions
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 == | ||