37edo: Difference between revisions
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== Just approximation == | |||
=== Selected just intervals === | |||
{| class="wikitable center-all" | |||
! colspan="2" | | |||
! prime 2 | |||
! prime 3 | |||
! prime 5 | |||
! prime 7 | |||
! prime 11 | |||
! prime 13 | |||
! prime 17 | |||
! prime 19 | |||
! prime 23 | |||
|- | |||
! rowspan="2" |Error | |||
! absolute (¢) | |||
| 0.0 | |||
| +11.56 | |||
| +2.88 | |||
| +4.15 | |||
| +0.03 | |||
| +2.72 | |||
| -7.66 | |||
| -5.62 | |||
| -12.06 | |||
|- | |||
! [[Relative error|relative]] (%) | |||
| 0.0 | |||
| +35.6 | |||
| +8.9 | |||
| +12.8 | |||
| +0.1 | |||
| +8.4 | |||
| -23.6 | |||
| -17.3 | |||
| -37.2 | |||
|} | |||
=== Temperament measures === | |||
The following table shows [[TE temperament measures]] (RMS normalized by the rank) of 37et. | |||
{| class="wikitable" | |||
! colspan="2" | | |||
! 3-limit | |||
! 5-limit | |||
! 7-limit | |||
! 11-limit | |||
! 13-limit | |||
! no-3 11-limit | |||
! no-3 13-limit | |||
! no-3 17-limit | |||
! no-3 19-limit | |||
! no-3 23-limit | |||
|- | |||
! colspan="2" |Octave stretch (¢) | |||
| -3.65 | |||
| -2.85 | |||
| -2.50 | |||
| -2.00 | |||
| -1.79 | |||
| -0.681 | |||
| -0.692 | |||
| -0.265 | |||
| -0.0386 | |||
| +0.299 | |||
|- | |||
! rowspan="2" |Error | |||
! [[TE error|absolute]] (¢) | |||
| 3.64 | |||
| 3.18 | |||
| 2.82 | |||
| 2.71 | |||
| 2.52 | |||
| 0.681 | |||
| 0.610 | |||
| 1.11 | |||
| 1.17 | |||
| 1.41 | |||
|- | |||
! [[TE simple badness|relative]] (%) | |||
| 11.24 | |||
| 9.82 | |||
| 8.70 | |||
| 8.37 | |||
| 7.78 | |||
| 2.10 | |||
| 1.88 | |||
| 3.41 | |||
| 3.59 | |||
| 4.35 | |||
|} | |||
* 37et is most prominent in the no-3 11-, 13-, 17-, 19- and 23-limit subgroups. The next ET that does better in these subgroups is 109, 581, 103, 124 and 93, respectively. | |||
== Scales == | == Scales == | ||
| Line 424: | Line 518: | ||
== Links == | == Links == | ||
* [http://tonalsoft.com/enc/number/37-edo/37edo.aspx 37edo at Tonalsoft] | * [http://tonalsoft.com/enc/number/37-edo/37edo.aspx 37edo at Tonalsoft] [[Category:37edo| ]] <!-- main article --> | ||
[[Category:37edo| ]] <!-- main article --> | |||
[[Category:Edo]] | [[Category:Edo]] | ||
[[Category:Prime EDO]] | [[Category:Prime EDO]] | ||
[[Category:Subgroup]] | [[Category:Subgroup]] | ||