34edo: Difference between revisions

Wikispaces>JosephRuhf
**Imported revision 601848148 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 601849852 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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>2016-12-10 12:53:09 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-10 13:27:57 UTC</tt>.<br>
: The original revision id was <tt>601848148</tt>.<br>
: The original revision id was <tt>601849852</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
Line 50: Line 50:
of 7 and 11 || pseudo-traditional
of 7 and 11 || pseudo-traditional
notation ||
notation ||
|| 0 || do || 0.0 || 1/1 ||  || C = B^^ = Ax ||
|| 0 || do || 0.0 || 1/1 ||  || C = Ax = B^^ ||
|| 1 || di || 35.294
|| 1 || di || 35.294
10°35'18" || 128/125 ([[128_125|diesis]]), 51/50 || 50/49, 49/48 || C ^ ||
10°35'18" || 128/125 ([[128_125|diesis]]), 51/50 || 50/49, 49/48 || Ax^ = C^ = B#v = Dbv ||
|| 2 || rih || 70.588
|| 2 || rih || 70.588
21°10'35" || 25/24, 648/625 ([[648_625|large diesis]]) ||  || Db = C^^ = B# ||
21°10'35" || 25/24, 648/625 ([[648_625|large diesis]]) ||  || Db = C^^ = B# ||
Line 58: Line 58:
31°35'18" || 17/16, 18/17, 16/15 || 15/14 || C#v = Db^ ||
31°35'18" || 17/16, 18/17, 16/15 || 15/14 || C#v = Db^ ||
|| 4 || ru || 141.176
|| 4 || ru || 141.176
42°21'11" || 13/12 || 14/13, 12/11 || C# ||
42°21'11" || 13/12 || 14/13, 12/11 || C# = Dw ||
|| 5 || reh || 176.471
|| 5 || reh || 176.471
53°58'28" || 10/9 || 11/10 || C#^ = Dv ||
53°58'28" || 10/9 || 11/10 || Bxv = C#^ = Dv ||
|| 6 || re || 211.765
|| 6 || re || 211.765
63°31'46" || 9/8, 17/15 ||  || D ||
63°31'46" || 9/8, 17/15 ||  || Bx = D ||
|| 7 || raw || 247.059
|| 7 || raw || 247.059
74°7'4" || 15/13 || 8/7 || D^ = Ebv ||
74°7'4" || 15/13 || 8/7 || Bx^ = Cxv = D^ = Ebv ||
|| 8 || meh || 282.353
|| 8 || meh || 282.353
84°42'21" || 20/17, 75/64 || 7/6, 13/11 || D^^ = Eb ||
84°42'21" || 20/17, 75/64 || 7/6, 13/11 || Cx = D^^ = Eb ||
|| 9 || me || 317.647
|| 9 || me || 317.647
95°17'39" || 6/5 || 17/14 || D#v = Eb^ ||
95°17'39" || 6/5 || 17/14 || Cx^ = D#v = Eb^ ||
|| 10 || mu || 352.941
|| 10 || mu || 352.941
105°52'56" || 16/13 || 11/9 || D# = Evv = Fbv ||
105°52'56" || 16/13 || 11/9 || D#
=Ew=  
Fbv ||
|| 11 || mi || 388.235
|| 11 || mi || 388.235
116°28'14" || 5/4 ||  || D#^ = Ev = Fb ||
116°28'14" || 5/4 ||  || D#^ = Ev = Fb ||
|| 12 || maa || 423.529
|| 12 || maa || 423.529
127°3'32" || [[51_40|51/40]], 32/25 || 14/11, 9/7 || Fvv = E ||
127°3'32" || [[51_40|51/40]], 32/25 || 14/11, 9/7 || E = Fw ||
|| 13 || maw || 458.823
|| 13 || maw || 458.823
137°38'49" || 13/10, 17/13 || 22/17 || E^ = Fv ||
137°38'49" || 13/10, 17/13 || 22/17 || Dxv = E^ = Fv ||
|| 14 || fa || 494.118
|| 14 || fa || 494.118
148°14'7" || 4/3 ||  || E^^ = F ||
148°14'7" || 4/3 ||  || E^^ = Dx = F ||
|| 15 || fih || 529.412
|| 15 || fih || 529.412
158°49'15" ||  || 15/11 || F^ = E#v = Gbv ||
158°49'15" ||  || 15/11 || Dx^= F^ = E#v = Gbv ||
|| 16 || fu || 564.706
|| 16 || fu || 564.706
169°24'42" || 18/13 || 11/8 || E# = F^^ = Gb ||
169°24'42" || 18/13 || 11/8 || E#
=Gb=
F^^ ||
|| 17 || fi/se || 600
|| 17 || fi/se || 600
180° || 17/12, 24/17 || 7/5, 10/7 || E#^ = F#v = Gb^ ||
180° || 17/12, 24/17 || 7/5, 10/7 || E#^ = F#v = Gb^ ||
|| 18 || su || 635.294
|| 18 || su || 635.294
190°35'18" || 13/9 || 16/11 || F# = Gvv ||
190°35'18" || 13/9 || 16/11 || F# = Gw ||
|| 19 || sih || 670.588
|| 19 || sih || 670.588
201°10'35" ||  || 22/15 || F#^ = Gv ||
201°10'35" ||  || 22/15 || Exv = F#^ = Gv ||
|| 20 || sol || 705.882
|| 20 || sol || 705.882
211°45'53" || 3/2 ||  || G ||
211°45'53" || 3/2 ||  || Ex = G ||
|| 21 || saw || 741.176
|| 21 || saw || 741.176
222°21'11" || 20/13, 26/17 || 17/11 || Fxv = G^ = Abv ||
222°21'11" || 20/13, 26/17 || 17/11 || Ex^ = Fxv = G^ = Abv ||
|| 22 || leh || 776.471
|| 22 || leh || 776.471
233°58'28" || 25/16, 80/51 || 14/9 || Ab = G^^ = Fx ||
233°58'28" || 25/16, 80/51 || 14/9 || G^^ = Ab = Fx ||
|| 23 || le || 811.765
|| 23 || le || 811.765
243°31'46" || 8/5 ||  || G#v = Ab^ ||
243°31'46" || 8/5 ||  || Fx^ = G#v = Ab^ ||
|| 24 || lu || 847.059
|| 24 || lu || 847.059
254°7'4" || 13/8 || 18/11 || G# = Avv ||
254°7'4" || 13/8 || 18/11 || G# = Aw ||
|| 25 || la || 882.353
|| 25 || la || 882.353
264°42'21" || 5/3 || 28/17 || Av ||
264°42'21" || 5/3 || 28/17 || G#^ = Av ||
|| 26 || laa || 917.647
|| 26 || laa || 917.647
275°17'39" || [[17_10|17/10]] || 12/7, 22/13 || A ||
275°17'39" || [[17_10|17/10]] || 12/7, 22/13 || A ||
Line 108: Line 112:
296°28'14" || 16/9, 30/17 ||  || A^^ = Bb = Gx ||
296°28'14" || 16/9, 30/17 ||  || A^^ = Bb = Gx ||
|| 29 || te || 1023.529
|| 29 || te || 1023.529
307°3'32" || 9/5 || 20/11 || A#v = Bb^ ||
307°3'32" || 9/5 || 20/11 || Gx^ = A#v = Bb^ ||
|| 30 || tu || 1058.823
|| 30 || tu || 1058.823
317°38'49" || 24/13 || 13/7, 11/6 || A# = Bvv = Cb ||
317°38'49" || 24/13 || 13/7, 11/6 || A#
=Bw=  
Cb ||
|| 31 || ti || 1094.118
|| 31 || ti || 1094.118
328°14'7" || 32/17, 17/9, 15/8 || 28/15 || A#^ = Bv ||
328°14'7" || 32/17, 17/9, 15/8 || 28/15 || A#^ = Bv ||
|| 32 || taa || 1129.412
|| 32 || taa || 1129.412
338°49'15" || 48/25, 625/324 ||  || B = Cvv ||
338°49'15" || 48/25, 625/324 ||  || B = Cw ||
|| 33 || da || 1164.706
|| 33 || da || 1164.706
349°24'42" || 125/64, 100/51 || 49/25, 96/49 || B^ = Axv = Cv ||
349°24'42" || 125/64, 100/51 || 49/25, 96/49 || B^ = Axv = Cv ||
Line 413: Line 419:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;C = B^^ = Ax&lt;br /&gt;
         &lt;td&gt;C = Ax = B^^&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 428: Line 434:
         &lt;td&gt;50/49, 49/48&lt;br /&gt;
         &lt;td&gt;50/49, 49/48&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;C ^&lt;br /&gt;
         &lt;td&gt;Ax^ = C^ = B#v = Dbv&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 473: Line 479:
         &lt;td&gt;14/13, 12/11&lt;br /&gt;
         &lt;td&gt;14/13, 12/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;C#&lt;br /&gt;
         &lt;td&gt;C# = Dw&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 488: Line 494:
         &lt;td&gt;11/10&lt;br /&gt;
         &lt;td&gt;11/10&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;C#^ = Dv&lt;br /&gt;
         &lt;td&gt;Bxv = C#^ = Dv&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 503: Line 509:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;D&lt;br /&gt;
         &lt;td&gt;Bx = D&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 518: Line 524:
         &lt;td&gt;8/7&lt;br /&gt;
         &lt;td&gt;8/7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;D^ = Ebv&lt;br /&gt;
         &lt;td&gt;Bx^ = Cxv = D^ = Ebv&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 533: Line 539:
         &lt;td&gt;7/6, 13/11&lt;br /&gt;
         &lt;td&gt;7/6, 13/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;D^^ = Eb&lt;br /&gt;
         &lt;td&gt;Cx = D^^ = Eb&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 548: Line 554:
         &lt;td&gt;17/14&lt;br /&gt;
         &lt;td&gt;17/14&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;D#v = Eb^&lt;br /&gt;
         &lt;td&gt;Cx^ = D#v = Eb^&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 563: Line 569:
         &lt;td&gt;11/9&lt;br /&gt;
         &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;D# &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Evv"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt; Evv &lt;/h1&gt;
         &lt;td&gt;D#&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Ew"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Ew&lt;/h1&gt;
  Fbv&lt;br /&gt;
  Fbv&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 594: Line 601:
         &lt;td&gt;14/11, 9/7&lt;br /&gt;
         &lt;td&gt;14/11, 9/7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Fvv = E&lt;br /&gt;
         &lt;td&gt;E = Fw&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 609: Line 616:
         &lt;td&gt;22/17&lt;br /&gt;
         &lt;td&gt;22/17&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;E^ = Fv&lt;br /&gt;
         &lt;td&gt;Dxv = E^ = Fv&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 624: Line 631:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;E^^ = F&lt;br /&gt;
         &lt;td&gt;E^^ = Dx = F&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 639: Line 646:
         &lt;td&gt;15/11&lt;br /&gt;
         &lt;td&gt;15/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;F^ = E#v = Gbv&lt;br /&gt;
         &lt;td&gt;Dx^= F^ = E#v = Gbv&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 654: Line 661:
         &lt;td&gt;11/8&lt;br /&gt;
         &lt;td&gt;11/8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;E# &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="F^^"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt; F^^ &lt;/h1&gt;
         &lt;td&gt;E#&lt;br /&gt;
  Gb&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Gb"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Gb&lt;/h1&gt;
  F^^&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 685: Line 693:
         &lt;td&gt;16/11&lt;br /&gt;
         &lt;td&gt;16/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;F# = Gvv&lt;br /&gt;
         &lt;td&gt;F# = Gw&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 700: Line 708:
         &lt;td&gt;22/15&lt;br /&gt;
         &lt;td&gt;22/15&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;F#^ = Gv&lt;br /&gt;
         &lt;td&gt;Exv = F#^ = Gv&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 715: Line 723:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;G&lt;br /&gt;
         &lt;td&gt;Ex = G&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 730: Line 738:
         &lt;td&gt;17/11&lt;br /&gt;
         &lt;td&gt;17/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Fxv = G^ = Abv&lt;br /&gt;
         &lt;td&gt;Ex^ = Fxv = G^ = Abv&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 745: Line 753:
         &lt;td&gt;14/9&lt;br /&gt;
         &lt;td&gt;14/9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Ab = G^^ = Fx&lt;br /&gt;
         &lt;td&gt;G^^ = Ab = Fx&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 760: Line 768:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;G#v = Ab^&lt;br /&gt;
         &lt;td&gt;Fx^ = G#v = Ab^&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 775: Line 783:
         &lt;td&gt;18/11&lt;br /&gt;
         &lt;td&gt;18/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;G# = Avv&lt;br /&gt;
         &lt;td&gt;G# = Aw&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 790: Line 798:
         &lt;td&gt;28/17&lt;br /&gt;
         &lt;td&gt;28/17&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Av&lt;br /&gt;
         &lt;td&gt;G#^ = Av&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 850: Line 858:
         &lt;td&gt;20/11&lt;br /&gt;
         &lt;td&gt;20/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;A#v = Bb^&lt;br /&gt;
         &lt;td&gt;Gx^ = A#v = Bb^&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 865: Line 873:
         &lt;td&gt;13/7, 11/6&lt;br /&gt;
         &lt;td&gt;13/7, 11/6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;A# &lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Bvv"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt; Bvv &lt;/h1&gt;
         &lt;td&gt;A#&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Bw"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Bw&lt;/h1&gt;
  Cb&lt;br /&gt;
  Cb&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 896: Line 905:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;B = Cvv&lt;br /&gt;
         &lt;td&gt;B = Cw&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 917: Line 926:


&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Bvv-Selected just intervals by error"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Selected just intervals by error&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Bw-Selected just intervals by error"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Selected just intervals by error&lt;/h2&gt;
  The following table shows how &lt;a class="wiki_link" href="/Just-24"&gt;some prominent just intervals&lt;/a&gt; are represented in 34edo (ordered by absolute error).&lt;br /&gt;
  The following table shows how &lt;a class="wiki_link" href="/Just-24"&gt;some prominent just intervals&lt;/a&gt; are represented in 34edo (ordered by absolute error).&lt;br /&gt;