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" |
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==== 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 ==