31edo: Difference between revisions

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=== Temperament measures ===
=== Temperament measures ===
The following table shows [[TE temperament measures]] (RMS normalized by the rank) of 31et.  
The following table shows [[TE temperament measures]] (RMS normalized) of 31et.  
{| class="wikitable center-all"
{| class="wikitable center-all"
! colspan="2" |
! colspan="2" |
Line 695: Line 695:
! 11-limit
! 11-limit
! 13-limit
! 13-limit
! 17-limit
|-
|-
! colspan="2" |Octave stretch (¢)
! colspan="2" |Octave stretch (¢)
Line 702: Line 703:
| +1.21
| +1.21
| +0.50
| +0.50
| +0.039
|-
|-
! rowspan="2" |Error
! rowspan="2" |Error
Line 710: Line 712:
| 1.49
| 1.49
| 2.07
| 2.07
| 2.23
|-
|-
! [[TE simple badness|relative]] (%)
! [[TE simple badness|relative]] (%)
Line 717: Line 720:
| 3.84
| 3.84
| 5.35
| 5.35
| 5.75
|}
|}
* 31et has a lower relative error than any previous ETs in all harmonic limits from 7 to 31.  
* 31et is lower in relative error than any previous ETs in the 7-, 11-, 13-, and 17-limit. The next ETs in those subgroups are 72, 72, 41, and 46, respectively.


== Relationship to 12-edo ==
== Relationship to 12-edo ==