https://en.xen.wiki/index.php?action=history&feed=atom&title=Sensibeta_temperaments
Sensibeta temperaments - Revision history
2026-06-09T18:13:49Z
Revision history for this page on the wiki
MediaWiki 1.43.6
https://en.xen.wiki/index.php?title=Sensibeta_temperaments&diff=223745&oldid=prev
Xenllium at 02:03, 11 February 2026
2026-02-11T02:03:42Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 02:03, 11 February 2026</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l7">Line 7:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* ''[[Slithy]]'' (+4000/3969 or +420175/419904) → [[Octagar temperaments #Slithy|Octagar temperaments]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* ''[[Slithy]]'' (+4000/3969 or +420175/419904) → [[Octagar temperaments #Slithy|Octagar temperaments]]</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* ''[[Ketchup]]'' (+5120/5103) → [[Hemifamity temperaments #Ketchup|Hemifamity temperaments]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* ''[[Ketchup]]'' (+5120/5103) → [[Hemifamity temperaments #Ketchup|Hemifamity temperaments]]</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* ''[[Polypyth]]'' (+6144/6125) → [[Porwell temperaments #Polypyth|Porwell temperaments]]</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* ''[[Marfifths]]'' (+10976/10935 or +15625/15552) → [[Kleismic family #Marfifths|Kleismic family]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* ''[[Marfifths]]'' (+10976/10935 or +15625/15552) → [[Kleismic family #Marfifths|Kleismic family]]</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Elven ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Elven ==</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">{{see also|11th-octave temperaments}}</ins></div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Subgroup]]: 2.3.5.7</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Subgroup]]: 2.3.5.7</div></td></tr>
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Xenllium
https://en.xen.wiki/index.php?title=Sensibeta_temperaments&diff=223737&oldid=prev
Xenllium at 23:18, 10 February 2026
2026-02-10T23:18:19Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:18, 10 February 2026</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l5">Line 5:</td>
<td colspan="2" class="diff-lineno">Line 5:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* ''[[Sensi]]'' (+126/125 or +245/243) → [[Sensipent family #Septimal sensi|Sensipent family]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* ''[[Sensi]]'' (+126/125 or +245/243) → [[Sensipent family #Septimal sensi|Sensipent family]]</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* ''[[Betic]]'' (+225/224) → [[Sycamore family #Betic|Sycamore family]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* ''[[Betic]]'' (+225/224) → [[Sycamore family #Betic|Sycamore family]]</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* ''[[Slithy]]'' (+4000/3969 or +420175/419904) → [[Octagar temperaments #Slithy|Octagar temperaments]]</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* ''[[Ketchup]]'' (+5120/5103) → [[Hemifamity temperaments #Ketchup|Hemifamity temperaments]]</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* ''[[Marfifths]]'' (+10976/10935 or +15625/15552) → [[Kleismic family #Marfifths|Kleismic family]]</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Elven ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Elven ==</div></td></tr>
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Xenllium
https://en.xen.wiki/index.php?title=Sensibeta_temperaments&diff=223736&oldid=prev
Xenllium: Created page with "{{Technical data page}} This is a collection of rank-2 temperaments tempering out the sensibeta comma, 1071875/1062882 = {{monzo| -1 -12 5 3 }}. Temperament considered below is elven. Discussed elsewhere are: * ''Sensi'' (+126/125 or +245/243) → Sensipent family * ''Betic'' (+225/224) → Sycamore family == Elven == Subgroup: 2.3.5.7 Comma list: 1071875..."
2026-02-10T23:08:22Z
<p>Created page with "{{Technical data page}} This is a collection of <a href="/w/Rank-2_temperament" class="mw-redirect" title="Rank-2 temperament">rank-2</a> <a href="/w/Temperament" title="Temperament">temperaments</a> <a href="/w/Tempering_out" title="Tempering out">tempering out</a> the <a href="/w/Sensibeta_comma" title="Sensibeta comma">sensibeta comma</a>, 1071875/1062882 = {{monzo| -1 -12 5 3 }}. Temperament considered below is elven. Discussed elsewhere are: * ''<a href="/w/Sensi" title="Sensi">Sensi</a>'' (+126/125 or +245/243) → <a href="/w/Sensipent_family#Septimal_sensi" title="Sensipent family">Sensipent family</a> * ''<a href="/w/Betic" class="mw-redirect" title="Betic">Betic</a>'' (+225/224) → <a href="/w/Sycamore_family#Betic" title="Sycamore family">Sycamore family</a> == Elven == <a href="/w/Subgroup" class="mw-redirect" title="Subgroup">Subgroup</a>: 2.3.5.7 <a href="/w/Comma_list" class="mw-redirect" title="Comma list">Comma list</a>: 1071875..."</p>
<p><b>New page</b></p><div>{{Technical data page}}<br />
This is a collection of [[Rank-2 temperament|rank-2]] [[temperament]]s [[tempering out]] the [[sensibeta comma]], 1071875/1062882 = {{monzo| -1 -12 5 3 }}.<br />
<br />
Temperament considered below is elven. Discussed elsewhere are:<br />
* ''[[Sensi]]'' (+126/125 or +245/243) → [[Sensipent family #Septimal sensi|Sensipent family]]<br />
* ''[[Betic]]'' (+225/224) → [[Sycamore family #Betic|Sycamore family]]<br />
<br />
== Elven ==<br />
[[Subgroup]]: 2.3.5.7<br />
<br />
[[Comma list]]: 1071875/1062882, 9765625/9680832<br />
<br />
{{Mapping|legend=1| 11 2 7 0 | 0 5 6 10 }}<br />
: Mapping generators: ~729/686, ~756/625<br />
<br />
[[Optimal tuning]]s: <br />
* [[WE]]: ~729/686 = 109.100¢, ~756/625 = 336.888¢<br />
* [[CWE]]: ~729/686 = 109.091¢, ~49/48 = 336.875¢<br />
<br />
{{Optimal ET sequence|legend=1| 121, 253, 374 }}<br />
<br />
[[Badness]] (Sintel): 11.372<br />
<br />
=== 11-limit ===<br />
Subgroup: 2.3.5.7.11<br />
<br />
Comma list: 1375/1372, 4375/4356, 59290/59049<br />
<br />
Mapping: {{mapping| 11 2 7 0 1 | 0 5 6 10 12 }}<br />
<br />
Optimal tunings: <br />
* WE: ~729/686 = 109.101¢, ~297/245 = 336.877¢<br />
* CWE: ~729/686 = 109.091¢, ~297/245 = 336.863¢<br />
<br />
{{Optimal ET sequence|legend=0| 121, 253, 374 }}<br />
<br />
Badness (Sintel): 3.675<br />
<br />
=== 13-limit ===<br />
Subgroup: 2.3.5.7.11.13<br />
<br />
Comma list: 325/324, 1375/1372, 1575/1573, 2200/2197<br />
<br />
Mapping: {{mapping| 11 2 7 0 1 16 | 0 5 6 10 12 8 }}<br />
<br />
Optimal tunings: <br />
* WE: ~125/117 = 109.100¢, ~91/75 = 336.876¢<br />
* CWE: ~125/117 = 109.091¢, ~91/75 = 336.863¢<br />
<br />
{{Optimal ET sequence|legend=0| 121, 253, 374 }}<br />
<br />
Badness (Sintel): 2.019<br />
<br />
=== 17-limit ===<br />
Subgroup: 2.3.5.7.11.13.17<br />
<br />
Comma list: 325/324, 375/374, 595/594, 1275/1274, 2200/2197<br />
<br />
Mapping: {{mapping| 11 2 7 0 1 16 11 | 0 5 6 10 12 8 11 }}<br />
<br />
Optimal tunings: <br />
* WE: ~125/117 = 109.099¢, ~17/14 = 336.867¢<br />
* CWE: ~125/117 = 109.091¢, ~17/14 = 336.856¢<br />
<br />
{{Optimal ET sequence|legend=0| 121, 253, 374 }}<br />
<br />
Badness (Sintel): 1.495<br />
<br />
[[Category:Temperament collections]]<br />
[[Category:Sensibeta temperaments| ]] <!-- main article --><br />
[[Category:Sensibeta| ]] <!-- key article --><br />
[[Category:Rank 2]]</div>
Xenllium