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User:MisterShafXen/2.3.19 subgroup - Revision history
2026-07-16T07:06:28Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=User:MisterShafXen/2.3.19_subgroup&diff=204741&oldid=prev
MisterShafXen: Created page with "Here is my take on the 2.3.19 JI subgroup. == Intervals == 2/1, 1 0 0: Octave 3/2, -1 1 0: Perfect 5th 19/16, -4 0 1: Minor 3rd 19/12, -2 -1 1: Minor 6th, major tetratone 19/18, -1 -2 1: Semitone 361/324, -2 -4 2: Tone 16983563041/11019960576, -8 -16 8: Minor tetratone 918330048/893871739, 6 15 -7: Tetratone comma == Temperaments == Taking the tetratone comma as our comma to be tempered out, we get the following temperament: 12&23bhh Equal Temperament Ma..."
2025-07-18T13:30:32Z
<p>Created page with "Here is my take on the 2.3.19 JI subgroup. == Intervals == 2/1, 1 0 0: Octave 3/2, -1 1 0: Perfect 5th 19/16, -4 0 1: Minor 3rd 19/12, -2 -1 1: Minor 6th, major tetratone 19/18, -1 -2 1: Semitone 361/324, -2 -4 2: Tone 16983563041/11019960576, -8 -16 8: Minor tetratone 918330048/893871739, 6 15 -7: Tetratone comma == Temperaments == Taking the tetratone comma as our comma to be tempered out, we get the following temperament: 12&23bhh Equal Temperament Ma..."</p>
<p><b>New page</b></p><div>Here is my take on the 2.3.19 JI subgroup.<br />
<br />
== Intervals ==<br />
2/1, 1 0 0: Octave<br />
<br />
3/2, -1 1 0: Perfect 5th <br />
<br />
19/16, -4 0 1: Minor 3rd <br />
<br />
19/12, -2 -1 1: Minor 6th, major tetratone <br />
<br />
19/18, -1 -2 1: Semitone <br />
<br />
361/324, -2 -4 2: Tone <br />
<br />
16983563041/11019960576, -8 -16 8: Minor tetratone <br />
<br />
918330048/893871739, 6 15 -7: Tetratone comma<br />
<br />
== Temperaments ==<br />
Taking the tetratone comma as our comma to be tempered out, we get the following temperament:<br />
<br />
12&23bhh<br />
<br />
Equal Temperament Mappings<br />
{| class="wikitable"<br />
!<br />
!2<br />
!3<br />
!19<br />
!<br />
|-<br />
|[ ⟨<br />
|12<br />
|19<br />
|51<br />
|]<br />
|-<br />
|⟨<br />
|23<br />
|37<br />
|99<br />
|] ⟩<br />
|}<br />
<br />
<br />
Reduced Mapping<br />
{| class="wikitable"<br />
!<br />
!2<br />
!3<br />
!19<br />
!<br />
|-<br />
|[ ⟨<br />
|1<br />
|1<br />
|3<br />
|]<br />
|-<br />
|⟨<br />
|0<br />
|7<br />
|15<br />
|] ⟩<br />
|}<br />
<br />
<br />
TE Generator Tunings (cents)<br />
<br />
⟨1199.8112, 100.1369]<br />
<br />
<br />
TE Step Tunings (cents)<br />
<br />
⟨96.47394, 1.83148]<br />
<br />
<br />
TE Tuning Map (cents)<br />
<br />
⟨1199.811, 1900.769, 5101.487]<br />
<br />
<br />
TE Mistunings (cents)<br />
<br />
⟨-0.189, -1.186, 3.974]</div>
MisterShafXen