List of weak Fokker blocks: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A weak Fokker block is a [[Fokker block]] which is only weakly [[epimorphic]]. This does not prevent some of them from being quite interesting as [[scale]]s.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-03-26 20:08:14 UTC</tt>.<br>
: The original revision id was <tt>314848266</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">By a //weak Fokker block// is meant a Fokker block which is only weakly epimorphic. This does not prevent some of them from being quite interesting as scales.


=12 note blocks=
== 12 note blocks ==
==&lt;12 19 27 34|==
=== {{val|12 19 27 34}} ===
===Temperaments===
==== Temperaments ====
&lt;&lt;1 -3 -2 -7 -6 4|| Commas: 15/14, 64/63 Badness: 0.0427
&lt;&lt;1 -3 -2 -7 -6 4|| Commas: 15/14, 64/63 Badness: 0.0427
&lt;&lt;4 0 4 -9 -5 9|| Commas: 15/14, 625/512 Badness: 0.0942
&lt;&lt;4 0 4 -9 -5 9|| Commas: 15/14, 625/512 Badness: 0.0942
&lt;&lt;6 6 0 -4 -17 -17|| Commas: 125/108, 160/147 Badness: 0.2363
&lt;&lt;6 6 0 -4 -17 -17|| Commas: 125/108, 160/147 Badness: 0.2363


===Scales===
==== Scales ====
[[glumma]]
[[glumma|glumma]]
[[glamma]]


=14 note blocks=
[[glamma|glamma]]
==&lt;14 23 36 40|==
 
===Temperaments===
== 14 note blocks ==
=== {{val|14 23 36 40}} ===
==== Temperaments ====
&lt;&lt;1 4 6 4 7 4|| Commas: 56/45, 63/50 Badness: 0.1735
&lt;&lt;1 4 6 4 7 4|| Commas: 56/45, 63/50 Badness: 0.1735
&lt;&lt;3 -2 4 -11 -2 16|| Commas: 56/45, 256/175 Badness: 0.2857
&lt;&lt;3 -2 4 -11 -2 16|| Commas: 56/45, 256/175 Badness: 0.2857
&lt;&lt;5 6 2 -3 -11 -12|| Commas: 63/50, 288/245 Badness: 0.3296
&lt;&lt;5 6 2 -3 -11 -12|| Commas: 63/50, 288/245 Badness: 0.3296


===Scales===
==== Scales ====
[[stelhex]]
[[mandala|mandala]]
 
[[mandela|mandela]]
 
[[dwart14block|dwart14block]]
 
== 15 note blocks ==
=== {{val|15 22 35}} ===
==== Scales ====
[[diamond7_126|diamond7_126]]
 
=== {{val|15 22 32}} ===
==== Scales ====
[[diamond7_225|diamond7_225]]
 
== 16 note blocks ==
=== {{val|16 25 36}} ===
==== Temperaments ====
&lt;1 4 4| Comma: 81/80
 
&lt;-9 0 4| Comma 625/512
 
==== Scales ====
[[genus3375|genus3375]]
 
== 19 note blocks ==
=== {{val|19 30 45}} ===
==== Temperaments ====
&lt;&lt;2 3 0|| Comma: 27/25
 
&lt;&lt;5 -2 -15|| Comma: 32768/28125
 
==== Scales ====
[[bugblock19|bugblock19]]
 
=== {{val|19 29 44 55}} ===
==== Temperaments ====
&lt;&lt;3 -2 7 -10 2 22|| Commas: 135/112, 192/175 Badness: 0.2892
 
&lt;&lt;1 -7 -4 -13 -9 11|| Commas: 135/112, 160/147 Badness: 0.2663
 
&lt;&lt;4 10 3 6 -7 -22|| Commas: 160/147, 243/200 Badness: 0.3893
 
==== Scales ====
[[diamond9block|diamond9block]]
 
=== {{val|19 30 42 55}} ===
==== Temperaments ====
&lt;&lt;4 -2 1 -12 -10 8|| Commas: 60/49, 75/64 Badness: 0.2626
 
&lt;&lt;1 9 5 12 5 -15|| Commas: 60/49, 243/224 Badness: 0.3239
 
&lt;&lt;2 -1 10 -6 10 25|| Commas: 75/64, 175/162 Badness: 0.2261
 
&lt;&lt;2 -1 -9 -6 -20 -17|| Commas: 75/64, 250/189 Badness: 0.4135
 
&lt;&lt;1 -10 5 -18 5 40|| Commas: 243/224, 256/245 Badness: 0.2662
 
==== Scales ====
[[superclipgenus19|superclipgenus19]]


=20 note blocks=
== 20 note blocks ==
==&lt;20 32 45 54|==
=== {{val|20 32 45 54}} ===
===Temperaments===
==== Temperaments ====
&lt;&lt;4 0 8 -9 2 18|| Commas: 98/81, 175/144 Badness: 0.2355
&lt;&lt;4 0 8 -9 2 18|| Commas: 98/81, 175/144 Badness: 0.2355
&lt;&lt;4 5 -2 -1 -14 -18|| Commas: 147/128, 175/144 Badness: 0.2244
&lt;&lt;4 5 -2 -1 -14 -18|| Commas: 147/128, 175/144 Badness: 0.2244
&lt;&lt;4 10 8 7 2 -9|| Commas: 98/81, 200/189 Badness: 0.2556
&lt;&lt;4 10 8 7 2 -9|| Commas: 98/81, 200/189 Badness: 0.2556


===Scales===
==== Scales ====
[[stellblock]]</pre></div>
[[stellblock|stellblock]]
<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;Weak Fokker blocks&lt;/title&gt;&lt;/head&gt;&lt;body&gt;By a &lt;em&gt;weak Fokker block&lt;/em&gt; is meant a Fokker block which is only weakly epimorphic. This does not prevent some of them from being quite interesting as scales.&lt;br /&gt;
=== {{val|20 31 46 59}} ===
&lt;br /&gt;
==== Temperaments ====
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x12 note blocks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;12 note blocks&lt;/h1&gt;
&lt;&lt;1 6 9 7 11 3|| Commas: 125/98, 135/112 Badness: 0.2416
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&amp;lt;12 19 27 34|&lt;/h2&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x12 note blocks--Temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Temperaments&lt;/h3&gt;
&lt;&lt;3 -2 7 -10 2 22|| Commas: 135/112, 192/175 Badness: 0.2416
&amp;lt;&amp;lt;1 -3 -2 -7 -6 4|| Commas: 15/14, 64/63 Badness: 0.0427&lt;br /&gt;
 
&amp;lt;&amp;lt;4 0 4 -9 -5 9|| Commas: 15/14, 625/512 Badness: 0.0942&lt;br /&gt;
&lt;&lt;4 4 -4 -3 -18 -21|| Commas: 192/175, 200/189 Badness: 0.1564
&amp;lt;&amp;lt;6 6 0 -4 -17 -17|| Commas: 125/108, 160/147 Badness: 0.2363&lt;br /&gt;
 
&lt;br /&gt;
==== Scales ====
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x12 note blocks--Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Scales&lt;/h3&gt;
[[diamondupblock|diamondupblock]]
&lt;a class="wiki_link" href="/glumma"&gt;glumma&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/glamma"&gt;glamma&lt;/a&gt;&lt;br /&gt;
== 21 note blocks ==
&lt;br /&gt;
=== {{val|21 34 52}} ===
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="x14 note blocks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;14 note blocks&lt;/h1&gt;
==== Temperaments ====
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;&amp;lt;14 23 36 40|&lt;/h2&gt;
&lt;&lt;6 3 -10|| Comma: 27648/15625 Badness: 1.7438
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x14 note blocks--Temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Temperaments&lt;/h3&gt;
 
&amp;lt;&amp;lt;1 4 6 4 7 4|| Commas: 56/45, 63/50 Badness: 0.1735&lt;br /&gt;
&lt;&lt;1 4 4|| Comma: 81/80 Badness: 0.0074
&amp;lt;&amp;lt;3 -2 4 -11 -2 16|| Commas: 56/45, 256/175 Badness: 0.2857&lt;br /&gt;
 
&amp;lt;&amp;lt;5 6 2 -3 -11 -12|| Commas: 63/50, 288/245 Badness: 0.3296&lt;br /&gt;
==== Scales ====
&lt;br /&gt;
[[johnston_21|johnston_21]]
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x14 note blocks--Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Scales&lt;/h3&gt;
 
&lt;a class="wiki_link" href="/stelhex"&gt;stelhex&lt;/a&gt;&lt;br /&gt;
== 25 note blocks ==
&lt;br /&gt;
=== {{val|25 40 58}} ===
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="x20 note blocks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;20 note blocks&lt;/h1&gt;
==== Temperaments ====
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;&amp;lt;20 32 45 54|&lt;/h2&gt;
&lt;&lt;0 5 8|| Comma: 256/243
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc10"&gt;&lt;a name="x20 note blocks--Temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Temperaments&lt;/h3&gt;
 
&amp;lt;&amp;lt;4 0 8 -9 2 18|| Commas: 98/81, 175/144 Badness: 0.2355&lt;br /&gt;
&lt;&lt;5 1 -10|| Comma: 3125/3072
&amp;lt;&amp;lt;4 5 -2 -1 -14 -18|| Commas: 147/128, 175/144 Badness: 0.2244&lt;br /&gt;
 
&amp;lt;&amp;lt;4 10 8 7 2 -9|| Commas: 98/81, 200/189 Badness: 0.2556&lt;br /&gt;
==== Scales ====
&lt;br /&gt;
[[dwarf25_5|dwarf25_5]]
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc11"&gt;&lt;a name="x20 note blocks--Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Scales&lt;/h3&gt;
 
&lt;a class="wiki_link" href="/stellblock"&gt;stellblock&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
{{Navbox scale gallery}}
[[Category:Fokker block]]
[[Category:Lists of scales]]
[[Category:Lists of temperaments]]

Latest revision as of 03:04, 28 September 2025

A weak Fokker block is a Fokker block which is only weakly epimorphic. This does not prevent some of them from being quite interesting as scales.

12 note blocks

⟨12 19 27 34]

Temperaments

<<1 -3 -2 -7 -6 4|| Commas: 15/14, 64/63 Badness: 0.0427

<<4 0 4 -9 -5 9|| Commas: 15/14, 625/512 Badness: 0.0942

<<6 6 0 -4 -17 -17|| Commas: 125/108, 160/147 Badness: 0.2363

Scales

glumma

glamma

14 note blocks

⟨14 23 36 40]

Temperaments

<<1 4 6 4 7 4|| Commas: 56/45, 63/50 Badness: 0.1735

<<3 -2 4 -11 -2 16|| Commas: 56/45, 256/175 Badness: 0.2857

<<5 6 2 -3 -11 -12|| Commas: 63/50, 288/245 Badness: 0.3296

Scales

mandala

mandela

dwart14block

15 note blocks

⟨15 22 35]

Scales

diamond7_126

⟨15 22 32]

Scales

diamond7_225

16 note blocks

⟨16 25 36]

Temperaments

<1 4 4| Comma: 81/80

<-9 0 4| Comma 625/512

Scales

genus3375

19 note blocks

⟨19 30 45]

Temperaments

<<2 3 0|| Comma: 27/25

<<5 -2 -15|| Comma: 32768/28125

Scales

bugblock19

⟨19 29 44 55]

Temperaments

<<3 -2 7 -10 2 22|| Commas: 135/112, 192/175 Badness: 0.2892

<<1 -7 -4 -13 -9 11|| Commas: 135/112, 160/147 Badness: 0.2663

<<4 10 3 6 -7 -22|| Commas: 160/147, 243/200 Badness: 0.3893

Scales

diamond9block

⟨19 30 42 55]

Temperaments

<<4 -2 1 -12 -10 8|| Commas: 60/49, 75/64 Badness: 0.2626

<<1 9 5 12 5 -15|| Commas: 60/49, 243/224 Badness: 0.3239

<<2 -1 10 -6 10 25|| Commas: 75/64, 175/162 Badness: 0.2261

<<2 -1 -9 -6 -20 -17|| Commas: 75/64, 250/189 Badness: 0.4135

<<1 -10 5 -18 5 40|| Commas: 243/224, 256/245 Badness: 0.2662

Scales

superclipgenus19

20 note blocks

⟨20 32 45 54]

Temperaments

<<4 0 8 -9 2 18|| Commas: 98/81, 175/144 Badness: 0.2355

<<4 5 -2 -1 -14 -18|| Commas: 147/128, 175/144 Badness: 0.2244

<<4 10 8 7 2 -9|| Commas: 98/81, 200/189 Badness: 0.2556

Scales

stellblock

⟨20 31 46 59]

Temperaments

<<1 6 9 7 11 3|| Commas: 125/98, 135/112 Badness: 0.2416

<<3 -2 7 -10 2 22|| Commas: 135/112, 192/175 Badness: 0.2416

<<4 4 -4 -3 -18 -21|| Commas: 192/175, 200/189 Badness: 0.1564

Scales

diamondupblock

21 note blocks

⟨21 34 52] 

Temperaments

<<6 3 -10|| Comma: 27648/15625 Badness: 1.7438

<<1 4 4|| Comma: 81/80 Badness: 0.0074

Scales

johnston_21

25 note blocks

⟨25 40 58]

Temperaments

<<0 5 8|| Comma: 256/243

<<5 1 -10|| Comma: 3125/3072

Scales

dwarf25_5


View • Talk • EditScale galleries
JI scales 12-tone JI • Combination product set • Constant structure • Harry Partch-related • Maximal harmony epimorphic • MOS transversal • Non-octave JI • Wakalix • Z-polygon transversal • Other JI
Full list: Category:Just intonation scales
Tempered scales 11-tone MOS • 12-tone tempered • Chromatic pair • Clipper • Double mode • Essentially tempered • Fantasy detemper • Marvel woo • Meantone • Min ambiguity • MOS cradle • Negri-9 • Neutral third • Non-octave tempered • Scalesmith systematic • Ternary • Other tempered
Full list: Category:Tempered scales
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All other scale gallery pages are included in Category:Lists of scales
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