94edo: Difference between revisions

m Cleanup
+Temperament measures
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:''See also: [[Table of 94edo intervals]]''
:''See also: [[Table of 94edo intervals]]''


== Approximations to prime harmonics ==
== Just approximation ==
=== Selected just intervals ===
{| class="wikitable center-all"
{| class="wikitable center-all"
! colspan="2" |
! colspan="2" |
Line 25: Line 26:
! rowspan="2" |Error
! rowspan="2" |Error
! absolute (¢)
! absolute (¢)
| 0.0
| 0.00
| +0.17
| +0.17
| -3.33
| -3.33
Line 37: Line 38:
| +3.90
| +3.90
|-
|-
! relative (%)
! [[Relative error|relative]] (%)
| 0.0
| 0.0
| +1.4
| +1.4
Line 50: Line 51:
| +30.6
| +30.6
|}
|}
=== Temperament measures ===
The following table shows [[TE temperament measures]] (RMS normalized by the rank) of 94et.
{| class="wikitable center-all"
! colspan="2" |
! 3-limit
! 5-limit
! 7-limit
! 11-limit
! 13-limit
! 17-limit
! 19-limit
! 23-limit
! 29-limit
! 31-limit
|-
! colspan="2" |Octave stretch (¢)
| -0.054
| +0.442
| +0.208
| +0.304
| +0.162
| +0.238
| +0.323
| +0.354
| +0.227
| +0.134
|-
! rowspan="2" |Error
! [[TE error|absolute]] (¢)
| 0.054
| 0.704
| 0.732
| 0.683
| 0.699
| 0.674
| 0.669
| 0.637
| 0.715
| 0.741
|-
! [[TE simple badness|relative]] (%)
| 0.43
| 5.52
| 5.74
| 5.35
| 5.48
| 5.28
| 5.24
| 4.99
| 5.60
| 5.81
|}
94et has a lower relative error than any previous ETs in the 23-limit. The next ET that does better in this subgroup is 193.


== Rank two temperaments ==
== Rank two temperaments ==