17edo: Difference between revisions
Comma table cleanup |
+Temperament measures |
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For a more complete list, see [[Ups and Downs Notation#Chords and Chord Progressions|Ups and Downs Notation - Chords and Chord Progressions]]. | For a more complete list, see [[Ups and Downs Notation#Chords and Chord Progressions|Ups and Downs Notation - Chords and Chord Progressions]]. | ||
== Selected just intervals by error == | == Just approximation == | ||
=== Selected just intervals by error === | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
! colspan="2" | | ! colspan="2" | | ||
| Line 499: | Line 501: | ||
==== Selected 13-limit intervals ==== | ==== Selected 13-limit intervals ==== | ||
[[File:17ed2-001.svg|alt=alt : Your browser has no SVG support.]] | [[File:17ed2-001.svg|alt=alt : Your browser has no SVG support.]] | ||
=== Temperament measures === | |||
The following table shows [[TE temperament measures]] (RMS normalized by the rank) of 17et. | |||
{| class="wikitable center-all" | |||
! colspan="2" | | |||
! 3-limit | |||
! 7-limit no-5 | |||
! 11-limit no-5 | |||
! 13-limit no-5 | |||
|- | |||
! colspan="2" |Octave stretch (¢) | |||
| -1.24 | |||
| -3.13 | |||
| -3.31 | |||
| -3.00 | |||
|- | |||
! rowspan="2" |Error | |||
![[TE error|absolute]] (¢) | |||
| 1.24 | |||
| 2.85 | |||
| 2.49 | |||
| 2.31 | |||
|- | |||
![[TE simple badness|relative]] (%) | |||
| 1.76 | |||
| 4.05 | |||
| 3.54 | |||
| 3.28 | |||
|} | |||
* 17et has a lower relative error than any previous ETs in the no-5 11- and 13-limit. The next ET that does better in these subgroups is 41 and 207, respectively. | |||
== Commas == | == Commas == | ||