4L 11s: Difference between revisions

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Overthink (talk | contribs)
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox MOS
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Periods = 1
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-14 15:04:04 UTC</tt>.<br>
| nLargeSteps = 4
: The original revision id was <tt>566465249</tt>.<br>
| nSmallSteps = 11
: The revision comment was: <tt></tt><br>
| Equalized = 4
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| Collapsed = 1
<h4>Original Wikitext content:</h4>
| Pattern = LsssLsssLsssLss
<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">This is a pattern generated by a large minor third of 1/4edo (300) to 4/15edo (320 cents). Because Myna temperament arrives at 3/2 by +10 generators, this is the lowest Myna MOS which has multiple 3/2s.
}}
|| 4/15 ||  ||  ||  ||  ||  || 320 ||
{{MOS intro}}
||  ||  ||  ||  || 17/64 ||  || 318.75 ||
||  ||  ||  || 13/49 ||  ||  || 318.367 ||
||  ||  ||  ||  || 22/83 ||  || 318.072 ||
||  ||  || 9/34 ||  ||  ||  || 317.647 ||
||  ||  ||  ||  ||  ||  || 317.358 ||
||  ||  ||  ||  || 23/87 ||  || 317.241 ||
||  ||  ||  ||  ||  ||  || 317.17 ||
||  ||  ||  || 14/53 ||  ||  || 316.981 ||
||  ||  ||  ||  ||  ||  || 316.733 ||
||  ||  ||  ||  || 19/72 ||  || 316.667 ||
||  || 5/19 ||  ||  ||  ||  || 315.7895 ||
||  ||  ||  ||  || 16/61 ||  || 314.754 ||
||  ||  ||  || 11/42 ||  ||  || 314.286 ||
||  ||  ||  ||  ||  ||  || 313.972 ||
||  ||  ||  ||  || 17/65 ||  || 313.846 ||
||  ||  ||  ||  ||  ||  || 313.7155 ||
||  ||  || 6/23 ||  ||  ||  || 313.0435 ||
||  ||  ||  ||  ||  ||  || 312.73 ||
||  ||  ||  ||  || 13/50 ||  || 312 ||
||  ||  ||  || 7/27 ||  ||  || 311.111 ||
||  ||  ||  ||  ||  || 15/58 || 310.345 ||
||  ||  ||  ||  || 8/31 ||  || 309.677 ||
|| 1/4 ||  ||  ||  ||  ||  || 300 ||</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;4L 11s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This is a pattern generated by a large minor third of 1/4edo (300) to 4/15edo (320 cents). Because Myna temperament arrives at 3/2 by +10 generators, this is the lowest Myna MOS which has multiple 3/2s.&lt;br /&gt;


Because [[myna]] temperament arrives at 3/2 by +10 generators, this is the lowest myna MOS which has multiple 3/2s.


&lt;table class="wiki_table"&gt;
== Modes ==
    &lt;tr&gt;
{{MOS modes}}
        &lt;td&gt;4/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17/64&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;318.75&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22/83&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;317.358&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23/87&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;317.241&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;317.17&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14/53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;316.981&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;316.733&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19/72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;316.667&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;314.754&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;313.972&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17/65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;313.846&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;313.7155&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;6/23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;312.73&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;311.111&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15/58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;310.345&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;309.677&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;300&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
== Intervals ==
{{MOS intervals}}
 
== Scales ==
* [[Cata15]]
* [[Myna15]]
 
== Scale tree ==
{{MOS tuning spectrum
| 4/3 = [[Catalan]]
| 11/7 = [[Metakleismic]]
| 13/8 = [[Countercata]]
| 5/3 = [[Kleismic|Hanson/cata]]
| 12/7 = [[Catakleismic]]
| 9/4 = [[Parakleismic]]
| 11/3 = [[Oolong]]
| 4/1 = [[Starlingtet]]
| 9/2 = [[Myna]]
}}
 
{{todo|expand}}
[[Category:15-tone scales]]

Latest revision as of 00:25, 28 December 2025

↖ 3L 10s ↑ 4L 10s 5L 10s ↗
← 3L 11s 4L 11s 5L 11s →
↙ 3L 12s ↓ 4L 12s 5L 12s ↘
Scale structure
Step pattern LssLsssLsssLsss
sssLsssLsssLssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 11\15 to 3\4 (880.0 ¢ to 900.0 ¢)
Dark 1\4 to 4\15 (300.0 ¢ to 320.0 ¢)
TAMNAMS information
Related to 4L 3s (smitonic)
With tunings 3:1 to 1:0 (hard)
Related MOS scales
Parent 4L 7s
Sister 11L 4s
Daughters 15L 4s, 4L 15s
Neutralized 8L 7s
2-Flought 19L 11s, 4L 26s
Equal tunings
Equalized (L:s = 1:1) 11\15 (880.0 ¢)
Supersoft (L:s = 4:3) 36\49 (881.6 ¢)
Soft (L:s = 3:2) 25\34 (882.4 ¢)
Semisoft (L:s = 5:3) 39\53 (883.0 ¢)
Basic (L:s = 2:1) 14\19 (884.2 ¢)
Semihard (L:s = 5:2) 31\42 (885.7 ¢)
Hard (L:s = 3:1) 17\23 (887.0 ¢)
Superhard (L:s = 4:1) 20\27 (888.9 ¢)
Collapsed (L:s = 1:0) 3\4 (900.0 ¢)
View • Talk • Edit

4L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 11 small steps, repeating every octave. 4L 11s is a grandchild scale of 4L 3s, expanding it by 8 tones. Generators that produce this scale range from 880 ¢ to 900 ¢, or from 300 ¢ to 320 ¢.

Because myna temperament arrives at 3/2 by +10 generators, this is the lowest myna MOS which has multiple 3/2s.

Modes

Modes of 4L 11s
UDP Cyclic
order		 Step
pattern
14|0 1 LssLsssLsssLsss
13|1 12 LsssLssLsssLsss
12|2 8 LsssLsssLssLsss
11|3 4 LsssLsssLsssLss
10|4 15 sLssLsssLsssLss
9|5 11 sLsssLssLsssLss
8|6 7 sLsssLsssLssLss
7|7 3 sLsssLsssLsssLs
6|8 14 ssLssLsssLsssLs
5|9 10 ssLsssLssLsssLs
4|10 6 ssLsssLsssLssLs
3|11 2 ssLsssLsssLsssL
2|12 13 sssLssLsssLsssL
1|13 9 sssLsssLssLsssL
0|14 5 sssLsssLsssLssL

Intervals

Intervals of 4L 11s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Minor 1-mosstep m1ms s 0.0 ¢ to 80.0 ¢
Major 1-mosstep M1ms L 80.0 ¢ to 300.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 160.0 ¢
Major 2-mosstep M2ms L + s 160.0 ¢ to 300.0 ¢
3-mosstep Minor 3-mosstep m3ms 3s 0.0 ¢ to 240.0 ¢
Major 3-mosstep M3ms L + 2s 240.0 ¢ to 300.0 ¢
4-mosstep Perfect 4-mosstep P4ms L + 3s 300.0 ¢ to 320.0 ¢
Augmented 4-mosstep A4ms 2L + 2s 320.0 ¢ to 600.0 ¢
5-mosstep Minor 5-mosstep m5ms L + 4s 300.0 ¢ to 400.0 ¢
Major 5-mosstep M5ms 2L + 3s 400.0 ¢ to 600.0 ¢
6-mosstep Minor 6-mosstep m6ms L + 5s 300.0 ¢ to 480.0 ¢
Major 6-mosstep M6ms 2L + 4s 480.0 ¢ to 600.0 ¢
7-mosstep Minor 7-mosstep m7ms L + 6s 300.0 ¢ to 560.0 ¢
Major 7-mosstep M7ms 2L + 5s 560.0 ¢ to 600.0 ¢
8-mosstep Minor 8-mosstep m8ms 2L + 6s 600.0 ¢ to 640.0 ¢
Major 8-mosstep M8ms 3L + 5s 640.0 ¢ to 900.0 ¢
9-mosstep Minor 9-mosstep m9ms 2L + 7s 600.0 ¢ to 720.0 ¢
Major 9-mosstep M9ms 3L + 6s 720.0 ¢ to 900.0 ¢
10-mosstep Minor 10-mosstep m10ms 2L + 8s 600.0 ¢ to 800.0 ¢
Major 10-mosstep M10ms 3L + 7s 800.0 ¢ to 900.0 ¢
11-mosstep Diminished 11-mosstep d11ms 2L + 9s 600.0 ¢ to 880.0 ¢
Perfect 11-mosstep P11ms 3L + 8s 880.0 ¢ to 900.0 ¢
12-mosstep Minor 12-mosstep m12ms 3L + 9s 900.0 ¢ to 960.0 ¢
Major 12-mosstep M12ms 4L + 8s 960.0 ¢ to 1200.0 ¢
13-mosstep Minor 13-mosstep m13ms 3L + 10s 900.0 ¢ to 1040.0 ¢
Major 13-mosstep M13ms 4L + 9s 1040.0 ¢ to 1200.0 ¢
14-mosstep Minor 14-mosstep m14ms 3L + 11s 900.0 ¢ to 1120.0 ¢
Major 14-mosstep M14ms 4L + 10s 1120.0 ¢ to 1200.0 ¢
15-mosstep Perfect 15-mosstep P15ms 4L + 11s 1200.0 ¢

Scales

Scale tree

Scale tree and tuning spectrum of 4L 11s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
11\15 880.000 320.000 1:1 1.000 Equalized 4L 11s
58\79 881.013 318.987 6:5 1.200
47\64 881.250 318.750 5:4 1.250
83\113 881.416 318.584 9:7 1.286
36\49 881.633 318.367 4:3 1.333 Supersoft 4L 11s
Catalan
97\132 881.818 318.182 11:8 1.375
61\83 881.928 318.072 7:5 1.400
86\117 882.051 317.949 10:7 1.429
25\34 882.353 317.647 3:2 1.500 Soft 4L 11s
89\121 882.645 317.355 11:7 1.571 Metakleismic
64\87 882.759 317.241 8:5 1.600
103\140 882.857 317.143 13:8 1.625 Countercata
39\53 883.019 316.981 5:3 1.667 Semisoft 4L 11s
Hanson/cata
92\125 883.200 316.800 12:7 1.714 Catakleismic
53\72 883.333 316.667 7:4 1.750
67\91 883.516 316.484 9:5 1.800
14\19 884.211 315.789 2:1 2.000 Basic 4L 11s
Scales with tunings softer than this are proper
59\80 885.000 315.000 9:4 2.250 Parakleismic
45\61 885.246 314.754 7:3 2.333
76\103 885.437 314.563 12:5 2.400
31\42 885.714 314.286 5:2 2.500 Semihard 4L 11s
79\107 885.981 314.019 13:5 2.600
48\65 886.154 313.846 8:3 2.667
65\88 886.364 313.636 11:4 2.750
17\23 886.957 313.043 3:1 3.000 Hard 4L 11s
54\73 887.671 312.329 10:3 3.333
37\50 888.000 312.000 7:2 3.500
57\77 888.312 311.688 11:3 3.667 Oolong
20\27 888.889 311.111 4:1 4.000 Superhard 4L 11s
Starlingtet
43\58 889.655 310.345 9:2 4.500 Myna
23\31 890.323 309.677 5:1 5.000
26\35 891.429 308.571 6:1 6.000
3\4 900.000 300.000 1:0 → ∞ Collapsed 4L 11s
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