53edo: Difference between revisions
Some ratios |
+Temperament measures |
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! rowspan="2" |Error | ! rowspan="2" |Error | ||
! absolute (¢) | ! absolute (¢) | ||
| 0. | | 0.00 | ||
| -0.07 | | -0.07 | ||
| -1.41 | | -1.41 | ||
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| ''9.961'' | | ''9.961'' | ||
|} | |} | ||
=== Temperament measures === | |||
The following table shows [[TE temperament measures]] (RMS normalized by the rank) of 53et. | |||
{| class="wikitable" | |||
! colspan="2" | | |||
! 3-limit | |||
! 5-limit | |||
! 7-limit | |||
! 11-limit | |||
! 13-limit | |||
! 2.3.5.7.13.19 | |||
! 2.3.5.7.13.19.23 | |||
|- | |||
! colspan="2" |Octave stretch (¢) | |||
| +0.022 | |||
| +0.216 | |||
| -0.262 | |||
| +0.248 | |||
| +0.332 | |||
| +0.075 | |||
| -0.115 | |||
|- | |||
! rowspan="2" |Error | |||
! [[TE error|absolute]] (¢) | |||
| 0.022 | |||
| 0.276 | |||
| 0.861 | |||
| 1.279 | |||
| 1.183 | |||
| 0.850 | |||
| 0.915 | |||
|- | |||
! [[TE simple badness|relative]] (%) | |||
| 0.10 | |||
| 1.22 | |||
| 3.81 | |||
| 5.64 | |||
| 5.22 | |||
| 3.75 | |||
| 4.04 | |||
|} | |||
* 53et has a lower relative error than any previous ETs in the 3-, 5-, and 13-limit. The next ET that does better in these subgroups is 306, 118, and 72, respectively. | |||
* 53et is prominent in the 2.3.5.7.13.19 and 2.3.5.7.13.19.23 subgroups. The next ET that does better in either case is 130. | |||
== Linear temperaments == | == Linear temperaments == | ||