58edo: Difference between revisions
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+Temperament measures |
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=== | == Just approximation == | ||
=== Selected just intervals === | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
! colspan="2" | | ! colspan="2" | | ||
| Line 265: | Line 265: | ||
|- | |- | ||
! rowspan="2" |Error | ! rowspan="2" |Error | ||
!absolute (¢) | ! absolute (¢) | ||
| 0. | | 0.00 | ||
| +1.59 | | +1.59 | ||
| +6.79 | | +6.79 | ||
| Line 276: | Line 276: | ||
| -7.58 | | -7.58 | ||
|- | |- | ||
!relative (%) | ! relative (%) | ||
| 0.0 | | 0.0 | ||
| +7.2 | | +7.2 | ||
| Line 287: | Line 287: | ||
| -36.7 | | -36.7 | ||
|} | |} | ||
=== Temperament measures === | |||
The following table shows [[TE temperament measures]] (RMS normalized by the rank) of 58et. | |||
{| class="wikitable center-all" | |||
! colspan="2" | | |||
! 3-limit | |||
! 5-limit | |||
! 7-limit | |||
! 11-limit | |||
! 13-limit | |||
! 17-limit | |||
|- | |||
! colspan="2" |Octave stretch (¢) | |||
| -0.47 | |||
| -1.29 | |||
| -1.29 | |||
| -1.45 | |||
| -1.56 | |||
| -1.28 | |||
|- | |||
! rowspan="2" |Error | |||
! [[TE error|absolute]] (¢) | |||
| 0.47 | |||
| 1.22 | |||
| 1.05 | |||
| 1.00 | |||
| 0.94 | |||
| 1.10 | |||
|- | |||
! [[TE simple badness|relative]] (%) | |||
| 2.28 | |||
| 5.89 | |||
| 5.10 | |||
| 4.83 | |||
| 4.56 | |||
| 5.33 | |||
|} | |||
* 58et has a lower relative error than any previous ETs in the 13-limit. The next ET that does better in this subgroup is 72. | |||
== Rank two temperaments == | == Rank two temperaments == | ||