34edo: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 601848148 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 601849852 - Original comment: ** |
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<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 | : 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> | : 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> | ||
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of 7 and 11 || pseudo-traditional | of 7 and 11 || pseudo-traditional | ||
notation || | notation || | ||
|| 0 || do || 0.0 || 1/1 || || C = B^^ | || 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# = | 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 || | 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^^ | 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# = | 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 || | 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# = | 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 || | ||
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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# = | 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 = | 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: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>C = B^^ | <td>C = Ax = B^^<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 428: | Line 434: | ||
<td>50/49, 49/48<br /> | <td>50/49, 49/48<br /> | ||
</td> | </td> | ||
<td>C ^<br /> | <td>Ax^ = C^ = B#v = Dbv<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 473: | Line 479: | ||
<td>14/13, 12/11<br /> | <td>14/13, 12/11<br /> | ||
</td> | </td> | ||
<td>C#<br /> | <td>C# = Dw<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 488: | Line 494: | ||
<td>11/10<br /> | <td>11/10<br /> | ||
</td> | </td> | ||
<td>C#^ = Dv<br /> | <td>Bxv = C#^ = Dv<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 503: | Line 509: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>D<br /> | <td>Bx = D<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 518: | Line 524: | ||
<td>8/7<br /> | <td>8/7<br /> | ||
</td> | </td> | ||
<td>D^ = Ebv<br /> | <td>Bx^ = Cxv = D^ = Ebv<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 533: | Line 539: | ||
<td>7/6, 13/11<br /> | <td>7/6, 13/11<br /> | ||
</td> | </td> | ||
<td>D^^ = Eb<br /> | <td>Cx = D^^ = Eb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 548: | Line 554: | ||
<td>17/14<br /> | <td>17/14<br /> | ||
</td> | </td> | ||
<td>D#v = Eb^<br /> | <td>Cx^ = D#v = Eb^<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 563: | Line 569: | ||
<td>11/9<br /> | <td>11/9<br /> | ||
</td> | </td> | ||
<td>D# | <td>D#<br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Ew"></a><!-- ws:end:WikiTextHeadingRule:8 -->Ew</h1> | |||
Fbv<br /> | Fbv<br /> | ||
</td> | </td> | ||
Line 594: | Line 601: | ||
<td>14/11, 9/7<br /> | <td>14/11, 9/7<br /> | ||
</td> | </td> | ||
<td> | <td>E = Fw<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 609: | Line 616: | ||
<td>22/17<br /> | <td>22/17<br /> | ||
</td> | </td> | ||
<td>E^ = Fv<br /> | <td>Dxv = E^ = Fv<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 624: | Line 631: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>E^^ = F<br /> | <td>E^^ = Dx = F<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 639: | Line 646: | ||
<td>15/11<br /> | <td>15/11<br /> | ||
</td> | </td> | ||
<td>F^ = E#v = Gbv<br /> | <td>Dx^= F^ = E#v = Gbv<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 654: | Line 661: | ||
<td>11/8<br /> | <td>11/8<br /> | ||
</td> | </td> | ||
<td>E# | <td>E#<br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Gb"></a><!-- ws:end:WikiTextHeadingRule:10 -->Gb</h1> | |||
F^^<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
Line 685: | Line 693: | ||
<td>16/11<br /> | <td>16/11<br /> | ||
</td> | </td> | ||
<td>F# = | <td>F# = Gw<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 700: | Line 708: | ||
<td>22/15<br /> | <td>22/15<br /> | ||
</td> | </td> | ||
<td>F#^ = Gv<br /> | <td>Exv = F#^ = Gv<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 715: | Line 723: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>G<br /> | <td>Ex = G<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 730: | Line 738: | ||
<td>17/11<br /> | <td>17/11<br /> | ||
</td> | </td> | ||
<td>Fxv = G^ = Abv<br /> | <td>Ex^ = Fxv = G^ = Abv<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 745: | Line 753: | ||
<td>14/9<br /> | <td>14/9<br /> | ||
</td> | </td> | ||
<td> | <td>G^^ = Ab = Fx<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 760: | Line 768: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>G#v = Ab^<br /> | <td>Fx^ = G#v = Ab^<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 775: | Line 783: | ||
<td>18/11<br /> | <td>18/11<br /> | ||
</td> | </td> | ||
<td>G# = | <td>G# = Aw<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 790: | Line 798: | ||
<td>28/17<br /> | <td>28/17<br /> | ||
</td> | </td> | ||
<td>Av<br /> | <td>G#^ = Av<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 850: | Line 858: | ||
<td>20/11<br /> | <td>20/11<br /> | ||
</td> | </td> | ||
<td>A#v = Bb^<br /> | <td>Gx^ = A#v = Bb^<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 865: | Line 873: | ||
<td>13/7, 11/6<br /> | <td>13/7, 11/6<br /> | ||
</td> | </td> | ||
<td>A# | <td>A#<br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Bw"></a><!-- ws:end:WikiTextHeadingRule:12 -->Bw</h1> | |||
Cb<br /> | Cb<br /> | ||
</td> | </td> | ||
Line 896: | Line 905: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>B = | <td>B = Cw<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 917: | Line 926: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name=" | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Bw-Selected just intervals by error"></a><!-- ws:end:WikiTextHeadingRule:14 -->Selected just intervals by error</h2> | ||
The following table shows how <a class="wiki_link" href="/Just-24">some prominent just intervals</a> are represented in 34edo (ordered by absolute error).<br /> | The following table shows how <a class="wiki_link" href="/Just-24">some prominent just intervals</a> are represented in 34edo (ordered by absolute error).<br /> | ||