10edo: Difference between revisions
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==== Selected 13-limit intervals ==== | ==== Selected 13-limit intervals ==== | ||
[[File:10ed2-001.svg|alt=alt : Your browser has no SVG support.]] | [[File:10ed2-001.svg|alt=alt : Your browser has no SVG support.]] | ||
=== Temperament measures === | |||
The following table shows [[TE temperament measures]] (RMS normalized by the rank) of 10et. | |||
{| class="wikitable center-all" | |||
! colspan="2" | | |||
! 3-limit | |||
! 2.3.7 | |||
! 2.3.7.13 | |||
! 2.3.7.13.17 | |||
! 5-limit | |||
! 7-limit | |||
! 2.3.5.7.13 | |||
! 2.3.5.7.13.17 | |||
|- | |||
! colspan="2" |Octave stretch (¢) | |||
| -5.69 | |||
| -2.77 | |||
| -2.05 | |||
| -2.37 | |||
| -0.09 | |||
| +0.72 | |||
| +0.60 | |||
| -0.11 | |||
|- | |||
! rowspan="2" |Error | |||
![[TE error|absolute]] (¢) | |||
| 5.66 | |||
| 6.23 | |||
| 5.54 | |||
| 5.00 | |||
| 9.27 | |||
| 8.15 | |||
| 7.30 | |||
| 6.85 | |||
|- | |||
![[TE simple badness|relative]] (%) | |||
| 4.74 | |||
| 5.20 | |||
| 4.62 | |||
| 4.17 | |||
| 7.73 | |||
| 6.79 | |||
| 6.08 | |||
| 5.70 | |||
|} | |||
* 10et has a lower relative error than any previous ETs in the 7- and 17-limit. The next ET that does better in these subgroups is 12 and 22, respectively. | |||
* 10et is prominent in the 2.3.7.13, 2.3.5.7.13, 2.3.7.13.17, and 2.3.5.7.13.17 subgroup. The next ET that does better in these subgroups is 17, 19, 36 and 31, respectively. | |||
== Linear temperaments (with images for MOS horagrams) == | == Linear temperaments (with images for MOS horagrams) == | ||