101edo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Wikispaces>xenwolf
**Imported revision 602892676 - Original comment: tel-links removed**
Wikispaces>FREEZE
No edit summary
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''''101-EDO''''' divides the [[Octave|octave]] into 101 equal parts of 11.881 [[cent|cent]]s each. It can be used to tune the [[Schismatic_family|grackle temperament]]. It is the 26th [[prime_numbers|prime]] edo. The 101cd val provides an excellent tuning for [[Magic_family#Witchcraft|witchcraft temperament]], falling between the 13 and 15 limit least squares tuning.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-29 10:21:49 UTC</tt>.<br>
: The original revision id was <tt>602892676</tt>.<br>
: The revision comment was: <tt>tel-links removed</tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">**//101-EDO//** divides the [[octave]] into 101 equal parts of 11.881 [[cent]]s each. It can be used to tune the [[Schismatic family|grackle temperament]]. It is the 26th [[prime numbers|prime]] edo. The 101cd val provides an excellent tuning for [[Magic family#Witchcraft|witchcraft temperament]], falling between the 13 and 15 limit least squares tuning.


[[5-limit]] commas: 32805/32768, &lt;5 13 -11|
[[5-limit|5-limit]] commas: 32805/32768, &lt;5 13 -11|


[[7-limit]] commas: 126/125, 32805/32768, 2430/2401
[[7-limit|7-limit]] commas: 126/125, 32805/32768, 2430/2401


==__Some important MOS scales:__==  
==<u>Some important MOS scales:</u>==


**25 13 25 25 13:** //3L2s MOS// (Pentatonic)
'''25 13 25 25 13:''' ''3L2s MOS'' (Pentatonic)
|| 25 || 297.03 ||
|| 38 || 451.485 ||
|| 63 || 748.515 ||
|| 88 || 1045.545 ||
**17 17 8 17 17 17 8:** //5L2s MOS// (Diatonic Pythagorean)
|| **17** || **201.98** ||
|| 34 || 403.96 ||
|| **42** || **499.01** ||
|| **59** || **700.99** ||
|| **76** || **902.97** ||
|| 93 || 1104.95 ||
**13 13 13 13 13 13 13 10:** //7L1s MOS// (Grumpy Octatonic)
|| 13 || 154.455 ||
|| 26 || 308.911 ||
|| 39 || 463.366 ||
|| 52 || 617.822 ||
|| 65 || 772.277 ||
|| 78 || 926.733 ||
|| 91 || 1081.188 ||
**13 13 13 5 13 13 13 13 5:** //7L2s MOS// (Superdiatonic 1/13-tone 13;5 relation)
|| **13/101** || **154.455** ||
|| **26/101** || **308.911** ||
|| 39/101 || 463.366 ||
|| **44/101** || **522.772** ||
|| **57/101** || **677.228** ||
|| **70/101** || **831.683** ||
|| **83/101** || **986.139** ||
|| 96/101 || 1045.545 ||
**10 10 7 10 10 10 7 10 10 10 7:** //8L3s MOS// (Improper Sensi-11)
|| **10** || **118.812** ||
|| 20 || 237.624 ||
|| **27** || **320.792** ||
|| **37** || **439.604** ||
|| **47** || **558.416** ||
|| 57 || 677.228 ||
|| **64** || **760.396** ||
|| **74** || **879.218** ||
|| **84** || **998.03** ||
|| 94 || 1116.842 ||
**7 7 7 8 7 7 7 7 8 7 7 7 7 8:** //3L11s MOS// (Anti-Ketradektriatoh)
|| **7** || **83.168** ||
|| **14** || **166.337** ||
|| 22 || 261.386 ||
|| **29** || **344.5545** ||
|| **36** || **427.723** ||
|| **43** || **510.891** ||
|| **50** || **594.0595** ||
|| 58 || 689.119 ||
|| **65** || **772.287** ||
|| **72** || **855.4455** ||
|| **79** || **938.614** ||
|| **86** || **1021.782** ||
|| 93 || 1104.95 ||


=Links=
{| class="wikitable"
[[http://tech.groups.yahoo.com/group/tuning-math/message/11157|The Ellis duodene in 101-equal]]</pre></div>
|-
<h4>Original HTML content:</h4>
| | 25
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;101edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;&lt;em&gt;101-EDO&lt;/em&gt;&lt;/strong&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 101 equal parts of 11.881 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. It can be used to tune the &lt;a class="wiki_link" href="/Schismatic%20family"&gt;grackle temperament&lt;/a&gt;. It is the 26th &lt;a class="wiki_link" href="/prime%20numbers"&gt;prime&lt;/a&gt; edo. The 101cd val provides an excellent tuning for &lt;a class="wiki_link" href="/Magic%20family#Witchcraft"&gt;witchcraft temperament&lt;/a&gt;, falling between the 13 and 15 limit least squares tuning.&lt;br /&gt;
| | 297.03
&lt;br /&gt;
|-
&lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; commas: 32805/32768, &amp;lt;5 13 -11|&lt;br /&gt;
| | 38
&lt;br /&gt;
| | 451.485
&lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; commas: 126/125, 32805/32768, 2430/2401&lt;br /&gt;
|-
&lt;br /&gt;
| | 63
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Some important MOS scales:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;u&gt;Some important MOS scales:&lt;/u&gt;&lt;/h2&gt;
| | 748.515
&lt;br /&gt;
|-
&lt;strong&gt;25 13 25 25 13:&lt;/strong&gt; &lt;em&gt;3L2s MOS&lt;/em&gt; (Pentatonic)&lt;br /&gt;
| | 88
| | 1045.545
|}
'''17 17 8 17 17 17 8:''' ''5L2s MOS'' (Diatonic Pythagorean)


{| class="wikitable"
|-
| | '''17'''
| | '''201.98'''
|-
| | 34
| | 403.96
|-
| | '''42'''
| | '''499.01'''
|-
| | '''59'''
| | '''700.99'''
|-
| | '''76'''
| | '''902.97'''
|-
| | 93
| | 1104.95
|}
'''13 13 13 13 13 13 13 10:''' ''7L1s MOS'' (Grumpy Octatonic)


&lt;table class="wiki_table"&gt;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;td&gt;25&lt;br /&gt;
| | 13
&lt;/td&gt;
| | 154.455
        &lt;td&gt;297.03&lt;br /&gt;
|-
&lt;/td&gt;
| | 26
    &lt;/tr&gt;
| | 308.911
    &lt;tr&gt;
|-
        &lt;td&gt;38&lt;br /&gt;
| | 39
&lt;/td&gt;
| | 463.366
        &lt;td&gt;451.485&lt;br /&gt;
|-
&lt;/td&gt;
| | 52
    &lt;/tr&gt;
| | 617.822
    &lt;tr&gt;
|-
        &lt;td&gt;63&lt;br /&gt;
| | 65
&lt;/td&gt;
| | 772.277
        &lt;td&gt;748.515&lt;br /&gt;
|-
&lt;/td&gt;
| | 78
    &lt;/tr&gt;
| | 926.733
    &lt;tr&gt;
|-
        &lt;td&gt;88&lt;br /&gt;
| | 91
&lt;/td&gt;
| | 1081.188
        &lt;td&gt;1045.545&lt;br /&gt;
|}
&lt;/td&gt;
'''13 13 13 5 13 13 13 13 5:''' ''7L2s MOS'' (Superdiatonic 1/13-tone 13;5 relation)
    &lt;/tr&gt;
&lt;/table&gt;


&lt;strong&gt;17 17 8 17 17 17 8:&lt;/strong&gt; &lt;em&gt;5L2s MOS&lt;/em&gt; (Diatonic Pythagorean)&lt;br /&gt;
{| class="wikitable"
|-
| | '''13/101'''
| | '''154.455'''
|-
| | '''26/101'''
| | '''308.911'''
|-
| | 39/101
| | 463.366
|-
| | '''44/101'''
| | '''522.772'''
|-
| | '''57/101'''
| | '''677.228'''
|-
| | '''70/101'''
| | '''831.683'''
|-
| | '''83/101'''
| | '''986.139'''
|-
| | 96/101
| | 1045.545
|}
'''10 10 7 10 10 10 7 10 10 10 7:''' ''8L3s MOS'' (Improper Sensi-11)


{| class="wikitable"
|-
| | '''10'''
| | '''118.812'''
|-
| | 20
| | 237.624
|-
| | '''27'''
| | '''320.792'''
|-
| | '''37'''
| | '''439.604'''
|-
| | '''47'''
| | '''558.416'''
|-
| | 57
| | 677.228
|-
| | '''64'''
| | '''760.396'''
|-
| | '''74'''
| | '''879.218'''
|-
| | '''84'''
| | '''998.03'''
|-
| | 94
| | 1116.842
|}
'''7 7 7 8 7 7 7 7 8 7 7 7 7 8:''' ''3L11s MOS'' (Anti-Ketradektriatoh)


&lt;table class="wiki_table"&gt;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;strong&gt;17&lt;/strong&gt;&lt;br /&gt;
| | '''7'''
&lt;/td&gt;
| | '''83.168'''
        &lt;td&gt;&lt;strong&gt;201.98&lt;/strong&gt;&lt;br /&gt;
|-
&lt;/td&gt;
| | '''14'''
    &lt;/tr&gt;
| | '''166.337'''
    &lt;tr&gt;
|-
        &lt;td&gt;34&lt;br /&gt;
| | 22
&lt;/td&gt;
| | 261.386
        &lt;td&gt;403.96&lt;br /&gt;
|-
&lt;/td&gt;
| | '''29'''
    &lt;/tr&gt;
| | '''344.5545'''
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;strong&gt;42&lt;/strong&gt;&lt;br /&gt;
| | '''36'''
&lt;/td&gt;
| | '''427.723'''
        &lt;td&gt;&lt;strong&gt;499.01&lt;/strong&gt;&lt;br /&gt;
|-
&lt;/td&gt;
| | '''43'''
    &lt;/tr&gt;
| | '''510.891'''
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;strong&gt;59&lt;/strong&gt;&lt;br /&gt;
| | '''50'''
&lt;/td&gt;
| | '''594.0595'''
        &lt;td&gt;&lt;strong&gt;700.99&lt;/strong&gt;&lt;br /&gt;
|-
&lt;/td&gt;
| | 58
    &lt;/tr&gt;
| | 689.119
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;strong&gt;76&lt;/strong&gt;&lt;br /&gt;
| | '''65'''
&lt;/td&gt;
| | '''772.287'''
        &lt;td&gt;&lt;strong&gt;902.97&lt;/strong&gt;&lt;br /&gt;
|-
&lt;/td&gt;
| | '''72'''
    &lt;/tr&gt;
| | '''855.4455'''
    &lt;tr&gt;
|-
        &lt;td&gt;93&lt;br /&gt;
| | '''79'''
&lt;/td&gt;
| | '''938.614'''
        &lt;td&gt;1104.95&lt;br /&gt;
|-
&lt;/td&gt;
| | '''86'''
    &lt;/tr&gt;
| | '''1021.782'''
&lt;/table&gt;
|-
| | 93
| | 1104.95
|}


&lt;strong&gt;13 13 13 13 13 13 13 10:&lt;/strong&gt; &lt;em&gt;7L1s MOS&lt;/em&gt; (Grumpy Octatonic)&lt;br /&gt;
=Links=
 
[http://tech.groups.yahoo.com/group/tuning-math/message/11157 The Ellis duodene in 101-equal]      [[Category:101-tone]]
 
[[Category:101edo]]
&lt;table class="wiki_table"&gt;
[[Category:armodue]]
    &lt;tr&gt;
[[Category:edo]]
        &lt;td&gt;13&lt;br /&gt;
[[Category:equal]]
&lt;/td&gt;
[[Category:grackle]]
        &lt;td&gt;154.455&lt;br /&gt;
[[Category:prime_edo]]
&lt;/td&gt;
[[Category:pythagorean]]
    &lt;/tr&gt;
[[Category:scales]]
    &lt;tr&gt;
[[Category:todo:improve_leayout]]
        &lt;td&gt;26&lt;br /&gt;
[[Category:todo:unify_precision]]
&lt;/td&gt;
        &lt;td&gt;308.911&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;463.366&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;617.822&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;772.277&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;78&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;926.733&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;91&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1081.188&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;strong&gt;13 13 13 5 13 13 13 13 5:&lt;/strong&gt; &lt;em&gt;7L2s MOS&lt;/em&gt; (Superdiatonic 1/13-tone 13;5 relation)&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;13/101&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;154.455&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;26/101&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;308.911&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39/101&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;463.366&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;44/101&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;522.772&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;57/101&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;677.228&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;70/101&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;831.683&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;83/101&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;986.139&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;96/101&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1045.545&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;strong&gt;10 10 7 10 10 10 7 10 10 10 7:&lt;/strong&gt; &lt;em&gt;8L3s MOS&lt;/em&gt; (Improper Sensi-11)&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;10&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;118.812&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;237.624&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;27&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;320.792&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;37&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;439.604&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;47&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;558.416&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;677.228&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;64&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;760.396&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;74&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;879.218&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;84&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;998.03&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;94&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1116.842&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;strong&gt;7 7 7 8 7 7 7 7 8 7 7 7 7 8:&lt;/strong&gt; &lt;em&gt;3L11s MOS&lt;/em&gt; (Anti-Ketradektriatoh)&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;7&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;83.168&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;14&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;166.337&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;261.386&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;29&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;344.5545&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;36&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;427.723&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;43&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;510.891&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;50&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;594.0595&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;689.119&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;65&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;772.287&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;72&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;855.4455&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;79&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;938.614&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;86&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;1021.782&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;93&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1104.95&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Links&lt;/h1&gt;
&lt;a class="wiki_link_ext" href="http://tech.groups.yahoo.com/group/tuning-math/message/11157" rel="nofollow"&gt;The Ellis duodene in 101-equal&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

101-EDO divides the octave into 101 equal parts of 11.881 cents each. It can be used to tune the grackle temperament. It is the 26th prime edo. The 101cd val provides an excellent tuning for witchcraft temperament, falling between the 13 and 15 limit least squares tuning.

5-limit commas: 32805/32768, <5 13 -11|

7-limit commas: 126/125, 32805/32768, 2430/2401

Some important MOS scales:

25 13 25 25 13: 3L2s MOS (Pentatonic)

25 297.03
38 451.485
63 748.515
88 1045.545

17 17 8 17 17 17 8: 5L2s MOS (Diatonic Pythagorean)

17 201.98
34 403.96
42 499.01
59 700.99
76 902.97
93 1104.95

13 13 13 13 13 13 13 10: 7L1s MOS (Grumpy Octatonic)

13 154.455
26 308.911
39 463.366
52 617.822
65 772.277
78 926.733
91 1081.188

13 13 13 5 13 13 13 13 5: 7L2s MOS (Superdiatonic 1/13-tone 13;5 relation)

13/101 154.455
26/101 308.911
39/101 463.366
44/101 522.772
57/101 677.228
70/101 831.683
83/101 986.139
96/101 1045.545

10 10 7 10 10 10 7 10 10 10 7: 8L3s MOS (Improper Sensi-11)

10 118.812
20 237.624
27 320.792
37 439.604
47 558.416
57 677.228
64 760.396
74 879.218
84 998.03
94 1116.842

7 7 7 8 7 7 7 7 8 7 7 7 7 8: 3L11s MOS (Anti-Ketradektriatoh)

7 83.168
14 166.337
22 261.386
29 344.5545
36 427.723
43 510.891
50 594.0595
58 689.119
65 772.287
72 855.4455
79 938.614
86 1021.782
93 1104.95

Links

The Ellis duodene in 101-equal

Retrieved from "https://en.xen.wiki/index.php?title=101edo&oldid=18"