11L 1s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Wikispaces>JosephRuhf
**Imported revision 566074907 - Original comment: **
Wikispaces>FREEZE
No edit summary
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<span style="background-color: #ffffff; font-size: 12.8000001907349px;">This MOS, with its diatonic minor second generator, is the dodecatonic scale of Ripple (9:8=+2 generators) and Passion (6:5=+3 generators) temperaments. However, it feels markedly more hendecatonic to listeners used to the equally divided chromatic scale because of its unbroken chain of eleven equal steps–never mind that the 12th degree is actually less than the octave. This hendecatonic feel is especially pronounced above 2/23edo, where the octave feels like a comma shift of the 12th degree rather than an independent note.</span>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-11 14:18:27 UTC</tt>.<br>
: The original revision id was <tt>566074907</tt>.<br>
: The revision comment was: <tt></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">&lt;span style="background-color: #ffffff; font-size: 12.8000001907349px;"&gt;This MOS, with its diatonic minor second generator, is the dodecatonic scale of Ripple (9:8=+2 generators) and Passion (6:5=+3 generators) temperaments. However, it feels markedly more hendecatonic to listeners used to the equally divided chromatic scale because of its unbroken chain of eleven equal steps–never mind that the 12th degree is actually less than the octave. This hendecatonic feel is especially pronounced above 2/23edo, where the octave feels like a comma shift of the 12th degree rather than an independent note.&lt;/span&gt;
||||~ Generator ||~ Cents ||~ 2g ||~ 3g ||
|| 1/12 ||  || 100 || 200 || 300 ||
|| 5/59 ||  || 101.695 || 203.39 || 305.085 ||
||  || 9/106 || 101.887 || 203.774 || 305.66 ||
||  || 13/153 || 101.961 || 203.922 || 305.882 ||
||  || 17/200 || 102 || 204 || 306 ||
|| 4/47 ||  || 102.128 || 204.255 || 306.383 ||
||  || 7/82 || 102.439 || 204.878 || 307.317 ||
||  || 10/117 || 102.564 || 205.128 || 307.692 ||
||  || 13/152 || 102.632 || 205.263 || 307.895 ||
||  || 16/187 || 102.674 || 205.348 || 308.021 ||
||  || 19/222 || 102.838 || 205.676 || 308.5135 ||
|| 3/35 ||  || 102.857 || 205.714 || 308.571 ||
||  || 20/233 || 103.004 || 206.009 || 309.013 ||
||  || 17/198 || 103.03 || 206.061 || 309.091 ||
||  || 14/163 || 103.0675 || 206.135 || 309.2025 ||
||  ||  || 103.123 || 206.2455 || 309.368 ||
||  || 11/128 || 103.125 || 206.25 || 309.375 ||
||  || 8/93 || 103.226 || 206.452 || 309.677 ||
||  ||  || 103.288 || 206.575 || 309.863 ||
||  || 5/58 || 103.448 || 206.897 || 310.345 ||
||  ||  || 103.651 || 207.301 || 310.952 ||
||  || 7/81 || 103.703 || 207.407 || 311.111 ||
||  || 9/104 || 103.846 || 207.692 || 311.5385 ||
||  || 11/127 || 103.937 || 207.874 || 311.811 ||
||  || 13/150 || 104 || 208 || 312 ||
|| 2/23 ||  || 104.348 || 208.969 || 313.0435 ||
||  || 11/126 || 104.762 || 209.524 || 314.286 ||
||  || 9/103 || 104.854 || 209.709 || 314.563 ||
||  || 7/80 || 105 || 210 || 315 ||
||  || 5/57 || 105.263 || 210.526 || 315.7895 ||
||  ||  || 105.43 || 210.86 || 316.29 ||
||  || 8/91 || 105.4945 || 210.989 || 316.4835 ||
||  ||  || 105.561 || 211.121 || 316.682 ||
||  || 11/125 || 105.6 || 211.2 || 316.8 ||
|| 3/34 ||  || 105.822 || 211.765 || 317.647 ||
||  || 28/317 || 105.994 || 211.987 || 317.981 ||
||  || 25/283 || 106.007 || 212.014 || 318.021 ||
||  ||  || 106.023 || 212.046 || 318.069 ||
||  || 22/249 || 106.024 || 212.048 || 318.072 ||
||  || 19/215 || 106.0465 || 212.093 || 318.1395 ||
||  || 16/181 || 106.077 || 212.155 || 318.232 ||
||  || 13/147 || 106.122 || 212.245 || 318.367 ||
||  || 10/113 || 106.195 || 212.389 || 318.581 ||
||  || 7/79 || 106.329 || 212.658 || 318.987 ||
||  || 11/124 || 106.452 || 212.903 || 319.355 ||
|| 4/45 ||  || 106.667 || 213.333 || 320 ||
|| 5/56 ||  || 107.143 || 214.286 || 321.429 ||
|| 1/11 ||  || 109.091 || 218.182 || 327.273 ||</pre></div>
<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;11L 1s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;span style="background-color: #ffffff; font-size: 12.8000001907349px;"&gt;This MOS, with its diatonic minor second generator, is the dodecatonic scale of Ripple (9:8=+2 generators) and Passion (6:5=+3 generators) temperaments. However, it feels markedly more hendecatonic to listeners used to the equally divided chromatic scale because of its unbroken chain of eleven equal steps–never mind that the 12th degree is actually less than the octave. This hendecatonic feel is especially pronounced above 2/23edo, where the octave feels like a comma shift of the 12th degree rather than an independent note.&lt;/span&gt;&lt;br /&gt;


 
{| class="wikitable"
&lt;table class="wiki_table"&gt;
|-
    &lt;tr&gt;
! colspan="2" | Generator
        &lt;th colspan="2"&gt;Generator&lt;br /&gt;
! | Cents
&lt;/th&gt;
! | 2g
        &lt;th&gt;Cents&lt;br /&gt;
! | 3g
&lt;/th&gt;
|-
        &lt;th&gt;2g&lt;br /&gt;
| | 1/12
&lt;/th&gt;
| |
        &lt;th&gt;3g&lt;br /&gt;
| | 100
&lt;/th&gt;
| | 200
    &lt;/tr&gt;
| | 300
    &lt;tr&gt;
|-
        &lt;td&gt;1/12&lt;br /&gt;
| | 5/59
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 101.695
&lt;/td&gt;
| | 203.39
        &lt;td&gt;100&lt;br /&gt;
| | 305.085
&lt;/td&gt;
|-
        &lt;td&gt;200&lt;br /&gt;
| |
&lt;/td&gt;
| | 9/106
        &lt;td&gt;300&lt;br /&gt;
| | 101.887
&lt;/td&gt;
| | 203.774
    &lt;/tr&gt;
| | 305.66
    &lt;tr&gt;
|-
        &lt;td&gt;5/59&lt;br /&gt;
| |
&lt;/td&gt;
| | 13/153
        &lt;td&gt;&lt;br /&gt;
| | 101.961
&lt;/td&gt;
| | 203.922
        &lt;td&gt;101.695&lt;br /&gt;
| | 305.882
&lt;/td&gt;
|-
        &lt;td&gt;203.39&lt;br /&gt;
| |
&lt;/td&gt;
| | 17/200
        &lt;td&gt;305.085&lt;br /&gt;
| | 102
&lt;/td&gt;
| | 204
    &lt;/tr&gt;
| | 306
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | 4/47
&lt;/td&gt;
| |
        &lt;td&gt;9/106&lt;br /&gt;
| | 102.128
&lt;/td&gt;
| | 204.255
        &lt;td&gt;101.887&lt;br /&gt;
| | 306.383
&lt;/td&gt;
|-
        &lt;td&gt;203.774&lt;br /&gt;
| |
&lt;/td&gt;
| | 7/82
        &lt;td&gt;305.66&lt;br /&gt;
| | 102.439
&lt;/td&gt;
| | 204.878
    &lt;/tr&gt;
| | 307.317
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 10/117
        &lt;td&gt;13/153&lt;br /&gt;
| | 102.564
&lt;/td&gt;
| | 205.128
        &lt;td&gt;101.961&lt;br /&gt;
| | 307.692
&lt;/td&gt;
|-
        &lt;td&gt;203.922&lt;br /&gt;
| |
&lt;/td&gt;
| | 13/152
        &lt;td&gt;305.882&lt;br /&gt;
| | 102.632
&lt;/td&gt;
| | 205.263
    &lt;/tr&gt;
| | 307.895
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 16/187
        &lt;td&gt;17/200&lt;br /&gt;
| | 102.674
&lt;/td&gt;
| | 205.348
        &lt;td&gt;102&lt;br /&gt;
| | 308.021
&lt;/td&gt;
|-
        &lt;td&gt;204&lt;br /&gt;
| |
&lt;/td&gt;
| | 19/222
        &lt;td&gt;306&lt;br /&gt;
| | 102.838
&lt;/td&gt;
| | 205.676
    &lt;/tr&gt;
| | 308.5135
    &lt;tr&gt;
|-
        &lt;td&gt;4/47&lt;br /&gt;
| | 3/35
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 102.857
&lt;/td&gt;
| | 205.714
        &lt;td&gt;102.128&lt;br /&gt;
| | 308.571
&lt;/td&gt;
|-
        &lt;td&gt;204.255&lt;br /&gt;
| |
&lt;/td&gt;
| | 20/233
        &lt;td&gt;306.383&lt;br /&gt;
| | 103.004
&lt;/td&gt;
| | 206.009
    &lt;/tr&gt;
| | 309.013
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 17/198
        &lt;td&gt;7/82&lt;br /&gt;
| | 103.03
&lt;/td&gt;
| | 206.061
        &lt;td&gt;102.439&lt;br /&gt;
| | 309.091
&lt;/td&gt;
|-
        &lt;td&gt;204.878&lt;br /&gt;
| |
&lt;/td&gt;
| | 14/163
        &lt;td&gt;307.317&lt;br /&gt;
| | 103.0675
&lt;/td&gt;
| | 206.135
    &lt;/tr&gt;
| | 309.2025
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;10/117&lt;br /&gt;
| | 103.123
&lt;/td&gt;
| | 206.2455
        &lt;td&gt;102.564&lt;br /&gt;
| | 309.368
&lt;/td&gt;
|-
        &lt;td&gt;205.128&lt;br /&gt;
| |
&lt;/td&gt;
| | 11/128
        &lt;td&gt;307.692&lt;br /&gt;
| | 103.125
&lt;/td&gt;
| | 206.25
    &lt;/tr&gt;
| | 309.375
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 8/93
        &lt;td&gt;13/152&lt;br /&gt;
| | 103.226
&lt;/td&gt;
| | 206.452
        &lt;td&gt;102.632&lt;br /&gt;
| | 309.677
&lt;/td&gt;
|-
        &lt;td&gt;205.263&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;307.895&lt;br /&gt;
| | 103.288
&lt;/td&gt;
| | 206.575
    &lt;/tr&gt;
| | 309.863
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 5/58
        &lt;td&gt;16/187&lt;br /&gt;
| | 103.448
&lt;/td&gt;
| | 206.897
        &lt;td&gt;102.674&lt;br /&gt;
| | 310.345
&lt;/td&gt;
|-
        &lt;td&gt;205.348&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;308.021&lt;br /&gt;
| | 103.651
&lt;/td&gt;
| | 207.301
    &lt;/tr&gt;
| | 310.952
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 7/81
        &lt;td&gt;19/222&lt;br /&gt;
| | 103.703
&lt;/td&gt;
| | 207.407
        &lt;td&gt;102.838&lt;br /&gt;
| | 311.111
&lt;/td&gt;
|-
        &lt;td&gt;205.676&lt;br /&gt;
| |
&lt;/td&gt;
| | 9/104
        &lt;td&gt;308.5135&lt;br /&gt;
| | 103.846
&lt;/td&gt;
| | 207.692
    &lt;/tr&gt;
| | 311.5385
    &lt;tr&gt;
|-
        &lt;td&gt;3/35&lt;br /&gt;
| |
&lt;/td&gt;
| | 11/127
        &lt;td&gt;&lt;br /&gt;
| | 103.937
&lt;/td&gt;
| | 207.874
        &lt;td&gt;102.857&lt;br /&gt;
| | 311.811
&lt;/td&gt;
|-
        &lt;td&gt;205.714&lt;br /&gt;
| |
&lt;/td&gt;
| | 13/150
        &lt;td&gt;308.571&lt;br /&gt;
| | 104
&lt;/td&gt;
| | 208
    &lt;/tr&gt;
| | 312
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | 2/23
&lt;/td&gt;
| |
        &lt;td&gt;20/233&lt;br /&gt;
| | 104.348
&lt;/td&gt;
| | 208.969
        &lt;td&gt;103.004&lt;br /&gt;
| | 313.0435
&lt;/td&gt;
|-
        &lt;td&gt;206.009&lt;br /&gt;
| |
&lt;/td&gt;
| | 11/126
        &lt;td&gt;309.013&lt;br /&gt;
| | 104.762
&lt;/td&gt;
| | 209.524
    &lt;/tr&gt;
| | 314.286
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 9/103
        &lt;td&gt;17/198&lt;br /&gt;
| | 104.854
&lt;/td&gt;
| | 209.709
        &lt;td&gt;103.03&lt;br /&gt;
| | 314.563
&lt;/td&gt;
|-
        &lt;td&gt;206.061&lt;br /&gt;
| |
&lt;/td&gt;
| | 7/80
        &lt;td&gt;309.091&lt;br /&gt;
| | 105
&lt;/td&gt;
| | 210
    &lt;/tr&gt;
| | 315
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 5/57
        &lt;td&gt;14/163&lt;br /&gt;
| | 105.263
&lt;/td&gt;
| | 210.526
        &lt;td&gt;103.0675&lt;br /&gt;
| | 315.7895
&lt;/td&gt;
|-
        &lt;td&gt;206.135&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;309.2025&lt;br /&gt;
| | 105.43
&lt;/td&gt;
| | 210.86
    &lt;/tr&gt;
| | 316.29
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 8/91
        &lt;td&gt;&lt;br /&gt;
| | 105.4945
&lt;/td&gt;
| | 210.989
        &lt;td&gt;103.123&lt;br /&gt;
| | 316.4835
&lt;/td&gt;
|-
        &lt;td&gt;206.2455&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;309.368&lt;br /&gt;
| | 105.561
&lt;/td&gt;
| | 211.121
    &lt;/tr&gt;
| | 316.682
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 11/125
        &lt;td&gt;11/128&lt;br /&gt;
| | 105.6
&lt;/td&gt;
| | 211.2
        &lt;td&gt;103.125&lt;br /&gt;
| | 316.8
&lt;/td&gt;
|-
        &lt;td&gt;206.25&lt;br /&gt;
| | 3/34
&lt;/td&gt;
| |
        &lt;td&gt;309.375&lt;br /&gt;
| | 105.822
&lt;/td&gt;
| | 211.765
    &lt;/tr&gt;
| | 317.647
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 28/317
        &lt;td&gt;8/93&lt;br /&gt;
| | 105.994
&lt;/td&gt;
| | 211.987
        &lt;td&gt;103.226&lt;br /&gt;
| | 317.981
&lt;/td&gt;
|-
        &lt;td&gt;206.452&lt;br /&gt;
| |
&lt;/td&gt;
| | 25/283
        &lt;td&gt;309.677&lt;br /&gt;
| | 106.007
&lt;/td&gt;
| | 212.014
    &lt;/tr&gt;
| | 318.021
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 106.023
&lt;/td&gt;
| | 212.046
        &lt;td&gt;103.288&lt;br /&gt;
| | 318.069
&lt;/td&gt;
|-
        &lt;td&gt;206.575&lt;br /&gt;
| |
&lt;/td&gt;
| | 22/249
        &lt;td&gt;309.863&lt;br /&gt;
| | 106.024
&lt;/td&gt;
| | 212.048
    &lt;/tr&gt;
| | 318.072
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 19/215
        &lt;td&gt;5/58&lt;br /&gt;
| | 106.0465
&lt;/td&gt;
| | 212.093
        &lt;td&gt;103.448&lt;br /&gt;
| | 318.1395
&lt;/td&gt;
|-
        &lt;td&gt;206.897&lt;br /&gt;
| |
&lt;/td&gt;
| | 16/181
        &lt;td&gt;310.345&lt;br /&gt;
| | 106.077
&lt;/td&gt;
| | 212.155
    &lt;/tr&gt;
| | 318.232
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 13/147
        &lt;td&gt;&lt;br /&gt;
| | 106.122
&lt;/td&gt;
| | 212.245
        &lt;td&gt;103.651&lt;br /&gt;
| | 318.367
&lt;/td&gt;
|-
        &lt;td&gt;207.301&lt;br /&gt;
| |
&lt;/td&gt;
| | 10/113
        &lt;td&gt;310.952&lt;br /&gt;
| | 106.195
&lt;/td&gt;
| | 212.389
    &lt;/tr&gt;
| | 318.581
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 7/79
        &lt;td&gt;7/81&lt;br /&gt;
| | 106.329
&lt;/td&gt;
| | 212.658
        &lt;td&gt;103.703&lt;br /&gt;
| | 318.987
&lt;/td&gt;
|-
        &lt;td&gt;207.407&lt;br /&gt;
| |
&lt;/td&gt;
| | 11/124
        &lt;td&gt;311.111&lt;br /&gt;
| | 106.452
&lt;/td&gt;
| | 212.903
    &lt;/tr&gt;
| | 319.355
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | 4/45
&lt;/td&gt;
| |
        &lt;td&gt;9/104&lt;br /&gt;
| | 106.667
&lt;/td&gt;
| | 213.333
        &lt;td&gt;103.846&lt;br /&gt;
| | 320
&lt;/td&gt;
|-
        &lt;td&gt;207.692&lt;br /&gt;
| | 5/56
&lt;/td&gt;
| |
        &lt;td&gt;311.5385&lt;br /&gt;
| | 107.143
&lt;/td&gt;
| | 214.286
    &lt;/tr&gt;
| | 321.429
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | 1/11
&lt;/td&gt;
| |
        &lt;td&gt;11/127&lt;br /&gt;
| | 109.091
&lt;/td&gt;
| | 218.182
        &lt;td&gt;103.937&lt;br /&gt;
| | 327.273
&lt;/td&gt;
|}
        &lt;td&gt;207.874&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;311.811&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/150&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;104&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;208&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;312&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2/23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;104.348&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;208.969&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;313.0435&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/126&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;104.762&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;209.524&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;314.286&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/103&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;104.854&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;209.709&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;314.563&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/80&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;105&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;210&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;315&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;105.263&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;210.526&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;315.7895&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;105.43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;210.86&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;316.29&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/91&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;105.4945&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;210.989&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;316.4835&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;105.561&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;211.121&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;316.682&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/125&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;105.6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;211.2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;316.8&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3/34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;105.822&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;211.765&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;317.647&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;28/317&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;105.994&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;211.987&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;317.981&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25/283&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;106.007&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;212.014&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;318.021&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;106.023&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;212.046&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;318.069&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22/249&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;106.024&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;212.048&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;318.072&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19/215&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;106.0465&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;212.093&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;318.1395&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/181&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;106.077&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;212.155&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;318.232&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/147&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;106.122&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;212.245&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;318.367&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10/113&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;106.195&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;212.389&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;318.581&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/79&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;106.329&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;212.658&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;318.987&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/124&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;106.452&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;212.903&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;319.355&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4/45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;106.667&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;213.333&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;320&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5/56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;107.143&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;214.286&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;321.429&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;109.091&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;218.182&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;327.273&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

This MOS, with its diatonic minor second generator, is the dodecatonic scale of Ripple (9:8=+2 generators) and Passion (6:5=+3 generators) temperaments. However, it feels markedly more hendecatonic to listeners used to the equally divided chromatic scale because of its unbroken chain of eleven equal steps–never mind that the 12th degree is actually less than the octave. This hendecatonic feel is especially pronounced above 2/23edo, where the octave feels like a comma shift of the 12th degree rather than an independent note.

Generator Cents 2g 3g
1/12 100 200 300
5/59 101.695 203.39 305.085
9/106 101.887 203.774 305.66
13/153 101.961 203.922 305.882
17/200 102 204 306
4/47 102.128 204.255 306.383
7/82 102.439 204.878 307.317
10/117 102.564 205.128 307.692
13/152 102.632 205.263 307.895
16/187 102.674 205.348 308.021
19/222 102.838 205.676 308.5135
3/35 102.857 205.714 308.571
20/233 103.004 206.009 309.013
17/198 103.03 206.061 309.091
14/163 103.0675 206.135 309.2025
103.123 206.2455 309.368
11/128 103.125 206.25 309.375
8/93 103.226 206.452 309.677
103.288 206.575 309.863
5/58 103.448 206.897 310.345
103.651 207.301 310.952
7/81 103.703 207.407 311.111
9/104 103.846 207.692 311.5385
11/127 103.937 207.874 311.811
13/150 104 208 312
2/23 104.348 208.969 313.0435
11/126 104.762 209.524 314.286
9/103 104.854 209.709 314.563
7/80 105 210 315
5/57 105.263 210.526 315.7895
105.43 210.86 316.29
8/91 105.4945 210.989 316.4835
105.561 211.121 316.682
11/125 105.6 211.2 316.8
3/34 105.822 211.765 317.647
28/317 105.994 211.987 317.981
25/283 106.007 212.014 318.021
106.023 212.046 318.069
22/249 106.024 212.048 318.072
19/215 106.0465 212.093 318.1395
16/181 106.077 212.155 318.232
13/147 106.122 212.245 318.367
10/113 106.195 212.389 318.581
7/79 106.329 212.658 318.987
11/124 106.452 212.903 319.355
4/45 106.667 213.333 320
5/56 107.143 214.286 321.429
1/11 109.091 218.182 327.273
Retrieved from "https://en.xen.wiki/index.php?title=11L_1s&oldid=93"