Gallery of CS Scales: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is a gallery of scales that are [[constant structure|constant structures]]. They are also [[epimorphic]].
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Praimhin|Praimhin]] and made on <tt>2016-06-06 08:24:28 UTC</tt>.<br>
: The original revision id was <tt>584867861</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">==12 tone==


==13 tone==  
= Octave (2/1) span =


==14 tone==  
== 11 tone ==
* 1/1 9/8 5/4 9/7 21/16 35/24 3/2 5/3 12/7 7/4 35/18 2/1


==15 tone==  
== 12 tone ==
* 1/1 15/14 9/8 15/13 5/4 15/11 11/8 3/2 13/8 5/3 7/4 15/8 2/1


==16 tone==  
== 18 tone ==
=== Flippery CS's ===
The 31 [[flippery]] [[constant structure]]s with step sizes 16/15, 25/24, 36/35, 49/48, modulo transposition and inversion! (to be checked):


==17 tone==
* [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]
* [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
* [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
* [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
* [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2]
* [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2]
* [1, 16/15, 10/9, 8/7, 7/6, 175/144, 35/27, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]
* [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
* [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
* [1, 25/24, 10/9, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]
* [1, 36/35, 15/14, 35/32, 9/8, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 45/28, 12/7, 7/4, 9/5, 15/8, 2]
* [1, 25/24, 15/14, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]
* [1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2]
* [1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2]
* [1, 49/48, 21/20, 28/25, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2]
* [1, 25/24, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]
* [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
* [1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]
* [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
* [1, 16/15, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]
* [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
* [1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
* [1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
* [1, 49/48, 21/20, 35/32, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
* [1, 49/48, 21/20, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
* [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
* [1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
* [1, 16/15, 10/9, 8/7, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
* [1, 16/15, 49/45, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2]
* [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
* [1, 25/24, 15/14, 125/112, 25/21, 60/49, 5/4, 125/96, 75/56, 10/7, 72/49, 75/49, 25/16, 5/3, 12/7, 25/14, 90/49, 15/8, 2]


==18 tone==  
=== Others ===
The 31 Rietzian Constant Structures with step sizes 16/15, 25/24, 36/35, 49/48, modulo transposition and inversion! (to be checked)
* 1/1 25/24 10/9 8/7 25/21 6/5 5/4 4/3 25/18 10/7 35/24 3/2 80/49 5/3 12/7 7/4 40/21 35/18 2/1 - notable for having 5 otonalities and 5 utonalities, the most that an 18 tone CS with the patent val can have
&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 16/15, 10/9, 8/7, 7/6, 175/144, 35/27, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 25/24, 10/9, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 9/8, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 45/28, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 25/24, 15/14, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 49/48, 21/20, 28/25, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 25/24, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 16/15, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 49/48, 21/20, 35/32, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 49/48, 21/20, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 16/15, 10/9, 8/7, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 16/15, 49/45, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="-webkit-text-stroke-width: 0px; background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: 16px; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: pre-wrap; widows: 1; word-spacing: 0px;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative; text-align: left; white-space: pre-wrap;"&gt;[1, 25/24, 15/14, 125/112, 25/21, 60/49, 5/4, 125/96, 75/56, 10/7, 72/49, 75/49, 25/16, 5/3, 12/7, 25/14, 90/49, 15/8, 2]&lt;/span&gt;&lt;/span&gt;
* 1/1 15/14 54/49 10/9 7/6 6/5 9/7 35/27 4/3 10/7 3/2 54/35 14/9 5/3 12/7 9/5 49/27 40/21 2/1
==19 tone==


==20 tone==  
== 19 tone ==
* [1, 25/24, 35/32, 10/9, 7/6, 6/5, 5/4, 21/16, 4/3, 7/5, 35/24, 3/2, 14/9, 8/5, 5/3, 7/4, 9/5, 15/8, 35/18, 2]


==21 tone==  
=== Non-patent val ===
* [1, 15/14, 10/9, 9/8, 7/6, 5/4, 80/63, 21/16, 4/3, 10/7, 40/27, 3/2, 45/28, 5/3, 27/16, 7/4, 15/8, 40/21, 63/32, 2]
* [1, 81/80, 21/20, 9/8, 8/7, 189/160, 6/5, 21/16, 4/3, 27/20, 7/5, 3/2, 32/21, 63/40, 8/5, 12/7, 16/9, 9/5, 28/15, 2]


==22 tone==  
== 20 tone ==
* [1, 21/20, 175/162, 10/9, 7/6, 6/5, 100/81, 35/27, 4/3, 7/5, 350/243, 40/27, 3/2, 8/5, 400/243, 5/3, 7/4, 9/5, 50/27, 35/18, 2]


==23 tone==  
== 22 tone ==
* 1/1 40/39 13/12 10/9 52/45 32/27 6/5 16/13 13/10 4/3 160/117 13/9 40/27 3/2 20/13 13/8 5/3 26/15 16/9 9/5 24/13 39/20 2/1


==24 tone==  
=== Non-patent val ===
* [1, 64/63, 35/33, 35/32, 7/6, 32/27, 105/88, 175/144, 5/4, 4/3, 256/189, 140/99, 35/24, 3/2, 32/21, 35/22, 105/64, 7/4, 16/9, 315/176, 175/96, 35/18, 2]
* 1/1 875/864 25/24 21/20 27/25 35/32 9/8 175/144 5/4 4375/3456 125/96 21/16 27/20 35/24 3/2 175/108 5/3 42/25 125/72 7/4 9/5 35/18 2/1


==25 tone==  
== 24 tone ==
=== Non-patent val ===
* 1/1 169/168 143/140 13/12 11/10 33/28 77/65 143/120 9/7 507/392 13/10 39/28 99/70 3/2 169/112 429/280  11/7 33/20 117/70 143/84 9/5 11/6 13/7 39/20 2/1 - one of the smallest CS's containing the 3 5 7 9 11 13 eikosany


==26 tone==  
== 28 tone ==
&lt;span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 250.5px; width: 1px;"&gt;
* 1/1 66/65 21/20 14/13 11/10 44/39 7/6 77/65 6/5 33/26 14/11 84/65 11/8 363/260 7/5 77/52 3/2 99/65 63/40 21/13 33/20 22/13 7/4 231/130 9/5 24/13 77/40 77/39 2/1 - one of the smallest CS's containing the 1 3 5 7 11 13 eikosany
|| [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2] ||
|| [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2] ||
|| [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2] ||
|| [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2] ||
|| [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2] ||
|| [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2] ||
|| [1, 16/15, 10/9, 8/7, 7/6, 175/144, 35/27, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2] ||
|| [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2] ||
|| [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2] ||
|| [1, 25/24, 10/9, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2] ||
|| [1, 36/35, 15/14, 35/32, 9/8, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 45/28, 12/7, 7/4, 9/5, 15/8, 2] ||
|| [1, 25/24, 15/14, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2] ||
|| [1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2] ||
|| [1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2] ||
|| [1, 49/48, 21/20, 28/25, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2] ||
|| [1, 25/24, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2] ||
|| [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2] ||
|| [1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2] ||
|| [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2] ||
|| [1, 16/15, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2] ||
|| [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2] ||
|| [1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2] ||
|| [1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2] ||
|| [1, 49/48, 21/20, 35/32, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2] ||
|| [1, 49/48, 21/20, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2] ||
|| [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2] ||
|| [1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2] ||
|| [1, 16/15, 10/9, 8/7, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2] ||
|| [1, 16/15, 49/45, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2] ||
|| [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2] ||
|| [1, 25/24, 15/14, 125/112, 25/21, 60/49, 5/4, 125/96, 75/56, 10/7, 72/49, 75/49, 25/16, 5/3, 12/7, 25/14, 90/49, 15/8, 2] ||
&lt;/span&gt;</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;Gallery of CS Scales&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-12 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;12 tone&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-13 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;13 tone&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-14 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;14 tone&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-15 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;15 tone&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-16 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;16 tone&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-17 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;17 tone&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-18 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;18 tone&lt;/h2&gt;
The 31 Rietzian Constant Structures with step sizes 16/15, 25/24, 36/35, 49/48, modulo transposition and inversion! (to be checked)&lt;br /&gt;
&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 16/15, 10/9, 8/7, 7/6, 175/144, 35/27, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 25/24, 10/9, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 9/8, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 45/28, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 25/24, 15/14, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 49/48, 21/20, 28/25, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 25/24, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 16/15, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 49/48, 21/20, 35/32, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 49/48, 21/20, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 16/15, 10/9, 8/7, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 16/15, 49/45, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; line-height: 16px; white-space: pre-wrap;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative;"&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;span style="-webkit-text-stroke-width: 0px; background-color: #ffffff; color: #1d2129; display: block; font-family: helvetica,arial,sans-serif; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: 16px; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: pre-wrap; widows: 1; word-spacing: 0px;"&gt;&lt;span style="direction: ltr; display: block; font-family: inherit; position: relative; text-align: left; white-space: pre-wrap;"&gt;[1, 25/24, 15/14, 125/112, 25/21, 60/49, 5/4, 125/96, 75/56, 10/7, 72/49, 75/49, 25/16, 5/3, 12/7, 25/14, 90/49, 15/8, 2]&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-19 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;19 tone&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-20 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;20 tone&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x-21 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;21 tone&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="x-22 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;22 tone&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="x-23 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;23 tone&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="x-24 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;24 tone&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="x-25 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;25 tone&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="x-26 tone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;26 tone&lt;/h2&gt;
&lt;span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 250.5px; width: 1px;"&gt;&lt;br /&gt;


== 29 tone ==
* 1/1 33/32 117/112 13/12 12/11 9/8 8/7 33/28 39/32 26/21 143/112 9/7 4/3 11/8 39/28 1287/896 143/96  3/2 99/64 11/7 13/8 429/256 143/84 1573/896 99/56 11/6 13/7 429/224 27/14 2/1 - one of the smallest CS's containing the 1 3 7 9 11 13 eikosany


&lt;table class="wiki_table"&gt;
== 31 tone ==
    &lt;tr&gt;
=== Non-patent val ===
        &lt;td&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]&lt;br /&gt;
* 1/1 64/63 15/14 35/32 10/9 9/8 8/7 7/6 315/256 5/4 80/63 9/7 21/16 4/3 45/32 10/7 35/24 189/128 3/2 32/21 45/28 105/64 5/3 27/16 12/7 7/4 16/9 15/8 40/21 27/14 63/32 2/1
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 16/15, 10/9, 8/7, 7/6, 175/144, 35/27, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 25/24, 10/9, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 15/14, 35/32, 9/8, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 45/28, 12/7, 7/4, 9/5, 15/8, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 25/24, 15/14, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 49/48, 21/20, 28/25, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 25/24, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 16/15, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 49/48, 21/20, 35/32, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 49/48, 21/20, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 16/15, 10/9, 8/7, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 16/15, 49/45, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;[1, 25/24, 15/14, 125/112, 25/21, 60/49, 5/4, 125/96, 75/56, 10/7, 72/49, 75/49, 25/16, 5/3, 12/7, 25/14, 90/49, 15/8, 2]&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/span&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
== 41 tone ==
* 1/1 49/48 28/27 21/20 15/14 35/32 10/9 9/8 8/7 7/6 189/160 6/5 49/40 5/4 81/64 9/7 21/16 4/3 49/36 112/81 7/5 10/7 35/24 40/27 3/2 49/32  14/9 63/40 8/5 49/30 5/3 27/16 12/7 7/4 16/9 9/5 147/80 28/15 40/21 35/18 160/81 2/1 - "Regulus"
* 1/1 45/44 25/24 21/20 15/14 12/11 10/9 9/8 8/7 7/6 25/21 6/5 11/9 5/4 14/11 9/7 21/16 4/3 15/11 11/8 7/5 10/7 16/11 22/15 3/2 32/21 14/9 11/7 8/5 18/11 5/3 27/16 12/7 7/4 16/9 9/5 11/6 15/8 21/11 27/14 49/25 2/1
 
=== Non-patent val ===
== 46 tone ==
=== Non-patent val ===
* 1/1 99/98 49/48 33/32 21/20 11/10 10/9 55/49 8/7 396/343 7/6 33/28 6/5 297/245 49/40 99/80 5/4 55/42 4/3 66/49 49/36 11/8 7/5 99/70 10/7 495/343 35/24 165/112 3/2 11/7 8/5 396/245 49/30 33/20 5/3 165/98 12/7 594/343 7/4 11/6 28/15 66/35 40/21 660/343 35/18 55/28 2/1<br />
 
= Tritave (3/1) span =
== 19 tone ==
* [1, 27/25, 55/49, 25/21, 9/7, 33/25, 7/5, 75/49, 11/7, 5/3, 9/5, 231/125, 49/25, 15/7, 11/5, 7/3, 63/25, 55/21, 25/9, 3]
 
{{Navbox scale gallery}}
 
[[Category:Lists of scales]]

Latest revision as of 20:01, 11 February 2025

This is a gallery of scales that are constant structures. They are also epimorphic.

Octave (2/1) span

11 tone

  • 1/1 9/8 5/4 9/7 21/16 35/24 3/2 5/3 12/7 7/4 35/18 2/1

12 tone

  • 1/1 15/14 9/8 15/13 5/4 15/11 11/8 3/2 13/8 5/3 7/4 15/8 2/1

18 tone

Flippery CS's

The 31 flippery constant structures with step sizes 16/15, 25/24, 36/35, 49/48, modulo transposition and inversion! (to be checked):

  • [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]
  • [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2]
  • [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 48/25, 2]
  • [1, 16/15, 10/9, 8/7, 7/6, 175/144, 35/27, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 36/35, 15/14, 8/7, 7/6, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 25/24, 10/9, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]
  • [1, 36/35, 15/14, 35/32, 9/8, 6/5, 5/4, 9/7, 48/35, 10/7, 35/24, 3/2, 25/16, 45/28, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 25/24, 15/14, 8/7, 7/6, 175/144, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 64/35, 40/21, 35/18, 2]
  • [1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 48/35, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2]
  • [1, 25/24, 15/14, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 3/2, 8/5, 5/3, 12/7, 25/14, 40/21, 35/18, 2]
  • [1, 49/48, 21/20, 28/25, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2]
  • [1, 25/24, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 49/36, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 16/15, 10/9, 8/7, 7/6, 6/5, 5/4, 4/3, 25/18, 10/7, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 35/18, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 25/16, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 49/48, 21/20, 35/32, 7/6, 6/5, 5/4, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
  • [1, 49/48, 21/20, 35/32, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
  • [1, 49/48, 21/20, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 36/35, 21/20, 35/32, 7/6, 6/5, 5/4, 9/7, 21/16, 7/5, 36/25, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 16/15, 10/9, 8/7, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 5/3, 12/7, 7/4, 28/15, 48/25, 2]
  • [1, 16/15, 49/45, 28/25, 7/6, 6/5, 32/25, 4/3, 48/35, 7/5, 35/24, 14/9, 8/5, 49/30, 42/25, 7/4, 28/15, 48/25, 2]
  • [1, 36/35, 15/14, 35/32, 7/6, 6/5, 5/4, 9/7, 48/35, 7/5, 35/24, 3/2, 8/5, 5/3, 12/7, 7/4, 9/5, 15/8, 2]
  • [1, 25/24, 15/14, 125/112, 25/21, 60/49, 5/4, 125/96, 75/56, 10/7, 72/49, 75/49, 25/16, 5/3, 12/7, 25/14, 90/49, 15/8, 2]

Others

  • 1/1 25/24 10/9 8/7 25/21 6/5 5/4 4/3 25/18 10/7 35/24 3/2 80/49 5/3 12/7 7/4 40/21 35/18 2/1 - notable for having 5 otonalities and 5 utonalities, the most that an 18 tone CS with the patent val can have
  • 1/1 15/14 54/49 10/9 7/6 6/5 9/7 35/27 4/3 10/7 3/2 54/35 14/9 5/3 12/7 9/5 49/27 40/21 2/1

19 tone

  • [1, 25/24, 35/32, 10/9, 7/6, 6/5, 5/4, 21/16, 4/3, 7/5, 35/24, 3/2, 14/9, 8/5, 5/3, 7/4, 9/5, 15/8, 35/18, 2]

Non-patent val

  • [1, 15/14, 10/9, 9/8, 7/6, 5/4, 80/63, 21/16, 4/3, 10/7, 40/27, 3/2, 45/28, 5/3, 27/16, 7/4, 15/8, 40/21, 63/32, 2]
  • [1, 81/80, 21/20, 9/8, 8/7, 189/160, 6/5, 21/16, 4/3, 27/20, 7/5, 3/2, 32/21, 63/40, 8/5, 12/7, 16/9, 9/5, 28/15, 2]

20 tone

  • [1, 21/20, 175/162, 10/9, 7/6, 6/5, 100/81, 35/27, 4/3, 7/5, 350/243, 40/27, 3/2, 8/5, 400/243, 5/3, 7/4, 9/5, 50/27, 35/18, 2]

22 tone

  • 1/1 40/39 13/12 10/9 52/45 32/27 6/5 16/13 13/10 4/3 160/117 13/9 40/27 3/2 20/13 13/8 5/3 26/15 16/9 9/5 24/13 39/20 2/1

Non-patent val

  • [1, 64/63, 35/33, 35/32, 7/6, 32/27, 105/88, 175/144, 5/4, 4/3, 256/189, 140/99, 35/24, 3/2, 32/21, 35/22, 105/64, 7/4, 16/9, 315/176, 175/96, 35/18, 2]
  • 1/1 875/864 25/24 21/20 27/25 35/32 9/8 175/144 5/4 4375/3456 125/96 21/16 27/20 35/24 3/2 175/108 5/3 42/25 125/72 7/4 9/5 35/18 2/1

24 tone

Non-patent val

  • 1/1 169/168 143/140 13/12 11/10 33/28 77/65 143/120 9/7 507/392 13/10 39/28 99/70 3/2 169/112 429/280 11/7 33/20 117/70 143/84 9/5 11/6 13/7 39/20 2/1 - one of the smallest CS's containing the 3 5 7 9 11 13 eikosany

28 tone

  • 1/1 66/65 21/20 14/13 11/10 44/39 7/6 77/65 6/5 33/26 14/11 84/65 11/8 363/260 7/5 77/52 3/2 99/65 63/40 21/13 33/20 22/13 7/4 231/130 9/5 24/13 77/40 77/39 2/1 - one of the smallest CS's containing the 1 3 5 7 11 13 eikosany

29 tone

  • 1/1 33/32 117/112 13/12 12/11 9/8 8/7 33/28 39/32 26/21 143/112 9/7 4/3 11/8 39/28 1287/896 143/96 3/2 99/64 11/7 13/8 429/256 143/84 1573/896 99/56 11/6 13/7 429/224 27/14 2/1 - one of the smallest CS's containing the 1 3 7 9 11 13 eikosany

31 tone

Non-patent val

  • 1/1 64/63 15/14 35/32 10/9 9/8 8/7 7/6 315/256 5/4 80/63 9/7 21/16 4/3 45/32 10/7 35/24 189/128 3/2 32/21 45/28 105/64 5/3 27/16 12/7 7/4 16/9 15/8 40/21 27/14 63/32 2/1

41 tone

  • 1/1 49/48 28/27 21/20 15/14 35/32 10/9 9/8 8/7 7/6 189/160 6/5 49/40 5/4 81/64 9/7 21/16 4/3 49/36 112/81 7/5 10/7 35/24 40/27 3/2 49/32 14/9 63/40 8/5 49/30 5/3 27/16 12/7 7/4 16/9 9/5 147/80 28/15 40/21 35/18 160/81 2/1 - "Regulus"
  • 1/1 45/44 25/24 21/20 15/14 12/11 10/9 9/8 8/7 7/6 25/21 6/5 11/9 5/4 14/11 9/7 21/16 4/3 15/11 11/8 7/5 10/7 16/11 22/15 3/2 32/21 14/9 11/7 8/5 18/11 5/3 27/16 12/7 7/4 16/9 9/5 11/6 15/8 21/11 27/14 49/25 2/1

Non-patent val

46 tone

Non-patent val

  • 1/1 99/98 49/48 33/32 21/20 11/10 10/9 55/49 8/7 396/343 7/6 33/28 6/5 297/245 49/40 99/80 5/4 55/42 4/3 66/49 49/36 11/8 7/5 99/70 10/7 495/343 35/24 165/112 3/2 11/7 8/5 396/245 49/30 33/20 5/3 165/98 12/7 594/343 7/4 11/6 28/15 66/35 40/21 660/343 35/18 55/28 2/1

Tritave (3/1) span

19 tone

  • [1, 27/25, 55/49, 25/21, 9/7, 33/25, 7/5, 75/49, 11/7, 5/3, 9/5, 231/125, 49/25, 15/7, 11/5, 7/3, 63/25, 55/21, 25/9, 3]


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