41edo: Difference between revisions
Wikispaces>TallKite **Imported revision 602865326 - Original comment: ** |
Wikispaces>TallKite **Imported revision 602865376 - 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:TallKite|TallKite]] and made on <tt>2016-12-28 | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-28 04:06:27 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602865376</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 86: | Line 86: | ||
=Intervals= | =Intervals= | ||
||~ | ||~ ||~ cents value ||~ Approximate | ||
Ratios in the [[11-limit]] ||~ [[xenharmonic/Ups and Downs Notation|ups and]] | Ratios in the [[11-limit]] ||||~ [[xenharmonic/Ups and Downs Notation|ups and]] | ||
[[xenharmonic/Ups and Downs Notation|downs]] | [[xenharmonic/Ups and Downs Notation|downs]] | ||
[[xenharmonic/Ups and Downs Notation|notation]] ||~ Proposed names ||~ Andrew's | [[xenharmonic/Ups and Downs Notation|notation]] ||~ Proposed names ||~ Andrew's | ||
solfege | solfege | ||
syllable ||~ generator for ||~ some MOS and MODMOS Scales available || | syllable ||~ generator for ||~ some MOS and MODMOS Scales available || | ||
||= 0 ||= 0.00 || | ||= 0 ||= 0.00 ||< [[1_1|1/1]] ||= P1 ||= D || Unison || do || || || | ||
||= 1 ||= 29.27 || | ||= 1 ||= 29.27 ||< [[81_80|81/80]] ||= ^1 ||= D^ || Red unison || di || || || | ||
||= 2 ||= 58.54 || | ||= 2 ||= 58.54 ||< [[25_24|25/24]], [[28_27|28/27]], | ||
[[33_32|33/32]] ||= vm2 || Blue minor second || ro || [[Hemimiracle]] || || | [[33_32|33/32]] ||= vm2 ||= Ebv || Blue minor second || ro || [[Hemimiracle]] || || | ||
||= 3 ||= 87.80 || | ||= 3 ||= 87.80 ||< [[21_20|21/20]], [[22_21|22/21]] ||= m2 ||= Eb || Gray minor second || rih || 88cET (approx), | ||
[[octacot]] || || | [[octacot]] || || | ||
||= 4 ||= 117.07 || | ||= 4 ||= 117.07 ||< [[16_15|16/15]], [[15_14|15/14]] ||= ^m2 ||= Eb^ || Red minor second || ra || [[Miracle]] || || | ||
||= 5 ||= 146.34 || | ||= 5 ||= 146.34 ||< [[12_11|12/11]] ||= ~2 ||= Evv || Neutral second || ru || [[Bohlen-Pierce]]/[[bohpier]] || || | ||
||= 6 ||= 175.61 || | ||= 6 ||= 175.61 ||< [[10_9|10/9]], [[11_10|11/10]] ||= vM2 ||= Ev || Blue major second || reh || [[Tetracot]]/[[bunya]]/[[monkey]] || 13-tone MOS: 1 5 1 5 1 5 1 5 5 1 5 1 5 || | ||
||= 7 ||= 204.88 || | ||= 7 ||= 204.88 ||< [[9_8|9/8]] ||= M2 ||= E || Gray major second || re || [[Baldy]] || 11-tone MOS: 6 1 6 6 1 6 1 6 1 6 1 || | ||
||= 8 ||= 234.15 || | ||= 8 ||= 234.15 ||< [[8_7|8/7]] ||= ^M2 ||= E^ || Red major second || ri || [[Rodan]]/[[guiron]] || 11-tone MOS: 7 1 7 1 7 1 7 1 1 7 1 || | ||
||= 9 ||= 263.41 || | ||= 9 ||= 263.41 ||< [[7_6|7/6]], [[32_25|32/25]] ||= vm3 ||= Fv || Blue minor third || ma || [[Septimin]] || 9-tone MOS: 5 4 5 5 4 5 4 5 4 || | ||
||= 10 ||= 292.68 || | ||= 10 ||= 292.68 ||< [[32_27|32/27]] ||= m3 ||= F || Gray minor third || meh || [[Quasitemp]] || || | ||
||= 11 ||= 321.95 || | ||= 11 ||= 321.95 ||< [[6_5|6/5]] ||= ^m3 ||= F^ || Red minor third || me || [[Superkleismic]] || 11-tone MOS: 5 3 5 3 3 5 3 3 5 3 3 || | ||
||= 12 ||= 351.22 || | ||= 12 ||= 351.22 ||< [[11_9|11/9]],[[27_22|27/22]] ||= ~3 ||= F^^ || Neutral third || mu || [[Hemififths]]/[[karadeniz]] || 10-tone MOS: 5 2 5 5 2 5 5 5 2 5 || | ||
||= 13 ||= 380.49 || | ||= 13 ||= 380.49 ||< [[5_4|5/4]] ||= vM3 ||= F#v || Blue major third || mi || [[Magic]]/[[witchcraft]] || 10-tone MOS: 2 9 2 2 9 2 2 9 2 2 || | ||
||= 14 ||= 409.76 || | ||= 14 ||= 409.76 ||< [[14_11|14/11]], [[81_64|81/64]] ||= M3 ||= F# || Gray major third || maa || [[Hocus]] || || | ||
||= 15 ||= 439.02 || | ||= 15 ||= 439.02 ||< [[9_7|9/7]] ||= ^M3 ||= F#^ || Red major third || mo || || 11-tone MOS: 4 3 4 4 4 3 4 4 3 4 4 || | ||
||= 16 ||= 468.29 || | ||= 16 ||= 468.29 ||< [[21_16|21/16]] ||= v4 ||= Gv || Blue fourth || fe || [[Barbad]] || || | ||
||= 17 ||= 497.56 || | ||= 17 ||= 497.56 ||< [[4_3|4/3]] ||= P4 ||= G || Perfect fourth || fa || [[Schismatic]] ([[helmholtz]], [[Garibaldi temperament|garibaldi]], [[cassandra]]) || || | ||
||= 18 ||= 526.83 || | ||= 18 ||= 526.83 ||< [[15_11|15/11]], [[27_20|27/20]] ||= ^4 ||= G^ || Red fourth || fih || [[Trismegistus]] || 9-tone MOS: 5 5 3 5 5 5 5 3 5 || | ||
||= 19 ||= 556.10 || | ||= 19 ||= 556.10 ||< [[11_8|11/8]] ||= ^^4 ||= G^^ || Blue minor tritone || fu || || || | ||
||= 20 ||= 585.37 || | ||= 20 ||= 585.37 ||< [[7_5|7/5]] ||= vA4, d5 ||= G#v, | ||
||= 21 ||= 614.63 || | Ab || Minor tritone / diminished fifth || fi || [[Pluto]] || || | ||
||= 22 ||= 643.90 || | ||= 21 ||= 614.63 ||< [[10_7|10/7]] ||= A4, ^d5 ||= G#, | ||
||= 23 ||= 673.17 || | Ab^ || Major tritone / augmented fourth || se || || || | ||
||= 24 ||= 702.44 || | ||= 22 ||= 643.90 ||< [[16_11|16/11]] ||= vv5 ||= Avv || Red major tritone || su || || || | ||
||= 25 ||= 731.71 || | ||= 23 ||= 673.17 ||< [[22_15|22/15]], [[40_27|40/27]] ||= v5 ||= Av || Blue fifth || sih || || || | ||
||= 26 ||= 760.98 || | ||= 24 ||= 702.44 ||< [[3_2|3/2]] ||= P5 ||= A || Perfect fifth || sol || || || | ||
||= 27 ||= 790.24 || | ||= 25 ||= 731.71 ||< [[32_21|32/21]] ||= ^5 ||= A^ || Red fifth || si || || || | ||
||= 28 ||= 819.51 || | ||= 26 ||= 760.98 ||< [[14_9|14/9]], [[25_16|25/16]] ||= vm6 ||= Bbv || Blue minor sixth || lo || || || | ||
||= 29 ||= 848.78 || | ||= 27 ||= 790.24 ||< [[11_7|11/7]], [[128_81|128/81]] ||= m6 ||= Bb || Gray minor sixth || leh || || || | ||
||= 30 ||= 878.05 || | ||= 28 ||= 819.51 ||< [[8_5|8/5]] ||= ^m6 ||= Bb^ || Red minor sixth || le || || || | ||
||= 31 ||= 907.32 || | ||= 29 ||= 848.78 ||< [[18_11|18/11]], [[44_27|44/27]] ||= ~6 ||= Bvv || Neutral sixth || lu || || || | ||
||= 32 ||= 936.59 || | ||= 30 ||= 878.05 ||< [[5_3|5/3]] ||= vM6 ||= Bv || Blue major sixth || la || || || | ||
||= 33 ||= 965.85 || | ||= 31 ||= 907.32 ||< [[27_16|27/16]] ||= M6 ||= B || Gray major sixth || laa || || || | ||
||= 34 ||= 995.12 || | ||= 32 ||= 936.59 ||< [[12_7|12/7]] ||= ^M6 ||= B^ || Red major sixth || li || || || | ||
||= 35 ||= 1024.39 || | ||= 33 ||= 965.85 ||< [[7_4|7/4]] ||= vm7 ||= vC || Blue minor seventh || ta || || || | ||
||= 36 ||= 1053.66 || | ||= 34 ||= 995.12 ||< [[16_9|16/9]] ||= m7 ||= C || Gray minor seventh || teh || || || | ||
||= 37 ||= 1082.93 || | ||= 35 ||= 1024.39 ||< [[9_5|9/5]], [[20_11|20/11]] ||= ^m7 ||= C^ || Red minor seventh || te || || || | ||
||= 38 ||= 1112.20 || | ||= 36 ||= 1053.66 ||< [[11_6|11/6]] ||= ~7 ||= C^^ || Neutral seventh || tu || || || | ||
||= 39 ||= 1141.46 || | ||= 37 ||= 1082.93 ||< [[15_8|15/8]] ||= vM7 ||= C#v || Blue major seventh || ti || || || | ||
[[64_33|64/33]] ||= ^M7 || Red major seventh || to || || || | ||= 38 ||= 1112.20 ||< [[40_21|40/21]], [[21_11|21/11]] ||= M7 ||= C# || Gray major seventh || taa || || || | ||
||= 40 ||= 1170.73 || | ||= 39 ||= 1141.46 ||< [[48_25|48/25]], [[27_14|27/14]], | ||
||= 41 ||= 1200 || | [[64_33|64/33]] ||= ^M7 ||= C#^ || Red major seventh || to || || || | ||
||= 40 ||= 1170.73 ||< [[160_81|160/81]] ||= v8 ||= Dv || Blue octave || da || || || | |||
||= 41 ||= 1200 ||< 2/1 ||= P8 ||= D || || do || || || | |||
41edo chord names using ups and downs: | 41edo chord names using ups and downs: | ||
| Line 912: | Line 914: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<th> | <th><br /> | ||
</th> | </th> | ||
<th>cents value<br /> | <th>cents value<br /> | ||
| Line 919: | Line 921: | ||
Ratios in the <a class="wiki_link" href="/11-limit">11-limit</a><br /> | Ratios in the <a class="wiki_link" href="/11-limit">11-limit</a><br /> | ||
</th> | </th> | ||
<th><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation">ups and</a><br /> | <th colspan="2"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation">ups and</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation">downs</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation">downs</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation">notation</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation">notation</a><br /> | ||
| Line 939: | Line 941: | ||
<td style="text-align: center;">0.00<br /> | <td style="text-align: center;">0.00<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/1_1">1/1</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">P1<br /> | <td style="text-align: center;">P1<br /> | ||
</td> | |||
<td style="text-align: center;">D<br /> | |||
</td> | </td> | ||
<td>Unison<br /> | <td>Unison<br /> | ||
| Line 957: | Line 961: | ||
<td style="text-align: center;">29.27<br /> | <td style="text-align: center;">29.27<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/81_80">81/80</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^1<br /> | <td style="text-align: center;">^1<br /> | ||
</td> | |||
<td style="text-align: center;">D^<br /> | |||
</td> | </td> | ||
<td>Red unison<br /> | <td>Red unison<br /> | ||
| Line 975: | Line 981: | ||
<td style="text-align: center;">58.54<br /> | <td style="text-align: center;">58.54<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/25_24">25/24</a>, <a class="wiki_link" href="/28_27">28/27</a>,<br /> | ||
<a class="wiki_link" href="/33_32">33/32</a><br /> | <a class="wiki_link" href="/33_32">33/32</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">vm2<br /> | <td style="text-align: center;">vm2<br /> | ||
</td> | |||
<td style="text-align: center;">Ebv<br /> | |||
</td> | </td> | ||
<td>Blue minor second<br /> | <td>Blue minor second<br /> | ||
| Line 994: | Line 1,002: | ||
<td style="text-align: center;">87.80<br /> | <td style="text-align: center;">87.80<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/21_20">21/20</a>, <a class="wiki_link" href="/22_21">22/21</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">m2<br /> | <td style="text-align: center;">m2<br /> | ||
</td> | |||
<td style="text-align: center;">Eb<br /> | |||
</td> | </td> | ||
<td>Gray minor second<br /> | <td>Gray minor second<br /> | ||
| Line 1,013: | Line 1,023: | ||
<td style="text-align: center;">117.07<br /> | <td style="text-align: center;">117.07<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/16_15">16/15</a>, <a class="wiki_link" href="/15_14">15/14</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^m2<br /> | <td style="text-align: center;">^m2<br /> | ||
</td> | |||
<td style="text-align: center;">Eb^<br /> | |||
</td> | </td> | ||
<td>Red minor second<br /> | <td>Red minor second<br /> | ||
| Line 1,031: | Line 1,043: | ||
<td style="text-align: center;">146.34<br /> | <td style="text-align: center;">146.34<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/12_11">12/11</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">~2<br /> | <td style="text-align: center;">~2<br /> | ||
</td> | |||
<td style="text-align: center;">Evv<br /> | |||
</td> | </td> | ||
<td>Neutral second<br /> | <td>Neutral second<br /> | ||
| Line 1,049: | Line 1,063: | ||
<td style="text-align: center;">175.61<br /> | <td style="text-align: center;">175.61<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/10_9">10/9</a>, <a class="wiki_link" href="/11_10">11/10</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">vM2<br /> | <td style="text-align: center;">vM2<br /> | ||
</td> | |||
<td style="text-align: center;">Ev<br /> | |||
</td> | </td> | ||
<td>Blue major second<br /> | <td>Blue major second<br /> | ||
| Line 1,067: | Line 1,083: | ||
<td style="text-align: center;">204.88<br /> | <td style="text-align: center;">204.88<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/9_8">9/8</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">M2<br /> | <td style="text-align: center;">M2<br /> | ||
</td> | |||
<td style="text-align: center;">E<br /> | |||
</td> | </td> | ||
<td>Gray major second<br /> | <td>Gray major second<br /> | ||
| Line 1,085: | Line 1,103: | ||
<td style="text-align: center;">234.15<br /> | <td style="text-align: center;">234.15<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/8_7">8/7</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^M2<br /> | <td style="text-align: center;">^M2<br /> | ||
</td> | |||
<td style="text-align: center;">E^<br /> | |||
</td> | </td> | ||
<td>Red major second<br /> | <td>Red major second<br /> | ||
| Line 1,103: | Line 1,123: | ||
<td style="text-align: center;">263.41<br /> | <td style="text-align: center;">263.41<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/7_6">7/6</a>, <a class="wiki_link" href="/32_25">32/25</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">vm3<br /> | <td style="text-align: center;">vm3<br /> | ||
</td> | |||
<td style="text-align: center;">Fv<br /> | |||
</td> | </td> | ||
<td>Blue minor third<br /> | <td>Blue minor third<br /> | ||
| Line 1,121: | Line 1,143: | ||
<td style="text-align: center;">292.68<br /> | <td style="text-align: center;">292.68<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/32_27">32/27</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">m3<br /> | <td style="text-align: center;">m3<br /> | ||
</td> | |||
<td style="text-align: center;">F<br /> | |||
</td> | </td> | ||
<td>Gray minor third<br /> | <td>Gray minor third<br /> | ||
| Line 1,139: | Line 1,163: | ||
<td style="text-align: center;">321.95<br /> | <td style="text-align: center;">321.95<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/6_5">6/5</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^m3<br /> | <td style="text-align: center;">^m3<br /> | ||
</td> | |||
<td style="text-align: center;">F^<br /> | |||
</td> | </td> | ||
<td>Red minor third<br /> | <td>Red minor third<br /> | ||
| Line 1,157: | Line 1,183: | ||
<td style="text-align: center;">351.22<br /> | <td style="text-align: center;">351.22<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/11_9">11/9</a>,<a class="wiki_link" href="/27_22">27/22</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">~3<br /> | <td style="text-align: center;">~3<br /> | ||
</td> | |||
<td style="text-align: center;">F^^<br /> | |||
</td> | </td> | ||
<td>Neutral third<br /> | <td>Neutral third<br /> | ||
| Line 1,175: | Line 1,203: | ||
<td style="text-align: center;">380.49<br /> | <td style="text-align: center;">380.49<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/5_4">5/4</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">vM3<br /> | <td style="text-align: center;">vM3<br /> | ||
</td> | |||
<td style="text-align: center;">F#v<br /> | |||
</td> | </td> | ||
<td>Blue major third<br /> | <td>Blue major third<br /> | ||
| Line 1,193: | Line 1,223: | ||
<td style="text-align: center;">409.76<br /> | <td style="text-align: center;">409.76<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/14_11">14/11</a>, <a class="wiki_link" href="/81_64">81/64</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">M3<br /> | <td style="text-align: center;">M3<br /> | ||
</td> | |||
<td style="text-align: center;">F#<br /> | |||
</td> | </td> | ||
<td>Gray major third<br /> | <td>Gray major third<br /> | ||
| Line 1,211: | Line 1,243: | ||
<td style="text-align: center;">439.02<br /> | <td style="text-align: center;">439.02<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/9_7">9/7</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^M3<br /> | <td style="text-align: center;">^M3<br /> | ||
</td> | |||
<td style="text-align: center;">F#^<br /> | |||
</td> | </td> | ||
<td>Red major third<br /> | <td>Red major third<br /> | ||
| Line 1,229: | Line 1,263: | ||
<td style="text-align: center;">468.29<br /> | <td style="text-align: center;">468.29<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/21_16">21/16</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">v4<br /> | <td style="text-align: center;">v4<br /> | ||
</td> | |||
<td style="text-align: center;">Gv<br /> | |||
</td> | </td> | ||
<td>Blue fourth<br /> | <td>Blue fourth<br /> | ||
| Line 1,247: | Line 1,283: | ||
<td style="text-align: center;">497.56<br /> | <td style="text-align: center;">497.56<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/4_3">4/3</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">P4<br /> | <td style="text-align: center;">P4<br /> | ||
</td> | |||
<td style="text-align: center;">G<br /> | |||
</td> | </td> | ||
<td>Perfect fourth<br /> | <td>Perfect fourth<br /> | ||
| Line 1,265: | Line 1,303: | ||
<td style="text-align: center;">526.83<br /> | <td style="text-align: center;">526.83<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/15_11">15/11</a>, <a class="wiki_link" href="/27_20">27/20</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^4<br /> | <td style="text-align: center;">^4<br /> | ||
</td> | |||
<td style="text-align: center;">G^<br /> | |||
</td> | </td> | ||
<td>Red fourth<br /> | <td>Red fourth<br /> | ||
| Line 1,283: | Line 1,323: | ||
<td style="text-align: center;">556.10<br /> | <td style="text-align: center;">556.10<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/11_8">11/8</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^^4<br /> | <td style="text-align: center;">^^4<br /> | ||
</td> | |||
<td style="text-align: center;">G^^<br /> | |||
</td> | </td> | ||
<td>Blue minor tritone<br /> | <td>Blue minor tritone<br /> | ||
| Line 1,301: | Line 1,343: | ||
<td style="text-align: center;">585.37<br /> | <td style="text-align: center;">585.37<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/7_5">7/5</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">vA4, d5<br /> | <td style="text-align: center;">vA4, d5<br /> | ||
</td> | |||
<td style="text-align: center;">G#v,<br /> | |||
Ab<br /> | |||
</td> | </td> | ||
<td>Minor tritone / diminished fifth<br /> | <td>Minor tritone / diminished fifth<br /> | ||
| Line 1,319: | Line 1,364: | ||
<td style="text-align: center;">614.63<br /> | <td style="text-align: center;">614.63<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/10_7">10/7</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">A4, ^d5<br /> | <td style="text-align: center;">A4, ^d5<br /> | ||
</td> | |||
<td style="text-align: center;">G#,<br /> | |||
Ab^<br /> | |||
</td> | </td> | ||
<td>Major tritone / augmented fourth<br /> | <td>Major tritone / augmented fourth<br /> | ||
| Line 1,337: | Line 1,385: | ||
<td style="text-align: center;">643.90<br /> | <td style="text-align: center;">643.90<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/16_11">16/11</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">vv5<br /> | <td style="text-align: center;">vv5<br /> | ||
</td> | |||
<td style="text-align: center;">Avv<br /> | |||
</td> | </td> | ||
<td>Red major tritone<br /> | <td>Red major tritone<br /> | ||
| Line 1,355: | Line 1,405: | ||
<td style="text-align: center;">673.17<br /> | <td style="text-align: center;">673.17<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/22_15">22/15</a>, <a class="wiki_link" href="/40_27">40/27</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">v5<br /> | <td style="text-align: center;">v5<br /> | ||
</td> | |||
<td style="text-align: center;">Av<br /> | |||
</td> | </td> | ||
<td>Blue fifth<br /> | <td>Blue fifth<br /> | ||
| Line 1,373: | Line 1,425: | ||
<td style="text-align: center;">702.44<br /> | <td style="text-align: center;">702.44<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/3_2">3/2</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">P5<br /> | <td style="text-align: center;">P5<br /> | ||
</td> | |||
<td style="text-align: center;">A<br /> | |||
</td> | </td> | ||
<td>Perfect fifth<br /> | <td>Perfect fifth<br /> | ||
| Line 1,391: | Line 1,445: | ||
<td style="text-align: center;">731.71<br /> | <td style="text-align: center;">731.71<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/32_21">32/21</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^5<br /> | <td style="text-align: center;">^5<br /> | ||
</td> | |||
<td style="text-align: center;">A^<br /> | |||
</td> | </td> | ||
<td>Red fifth<br /> | <td>Red fifth<br /> | ||
| Line 1,409: | Line 1,465: | ||
<td style="text-align: center;">760.98<br /> | <td style="text-align: center;">760.98<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/14_9">14/9</a>, <a class="wiki_link" href="/25_16">25/16</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">vm6<br /> | <td style="text-align: center;">vm6<br /> | ||
</td> | |||
<td style="text-align: center;">Bbv<br /> | |||
</td> | </td> | ||
<td>Blue minor sixth<br /> | <td>Blue minor sixth<br /> | ||
| Line 1,427: | Line 1,485: | ||
<td style="text-align: center;">790.24<br /> | <td style="text-align: center;">790.24<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/11_7">11/7</a>, <a class="wiki_link" href="/128_81">128/81</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">m6<br /> | <td style="text-align: center;">m6<br /> | ||
</td> | |||
<td style="text-align: center;">Bb<br /> | |||
</td> | </td> | ||
<td>Gray minor sixth<br /> | <td>Gray minor sixth<br /> | ||
| Line 1,445: | Line 1,505: | ||
<td style="text-align: center;">819.51<br /> | <td style="text-align: center;">819.51<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/8_5">8/5</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^m6<br /> | <td style="text-align: center;">^m6<br /> | ||
</td> | |||
<td style="text-align: center;">Bb^<br /> | |||
</td> | </td> | ||
<td>Red minor sixth<br /> | <td>Red minor sixth<br /> | ||
| Line 1,463: | Line 1,525: | ||
<td style="text-align: center;">848.78<br /> | <td style="text-align: center;">848.78<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/18_11">18/11</a>, <a class="wiki_link" href="/44_27">44/27</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">~6<br /> | <td style="text-align: center;">~6<br /> | ||
</td> | |||
<td style="text-align: center;">Bvv<br /> | |||
</td> | </td> | ||
<td>Neutral sixth<br /> | <td>Neutral sixth<br /> | ||
| Line 1,481: | Line 1,545: | ||
<td style="text-align: center;">878.05<br /> | <td style="text-align: center;">878.05<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/5_3">5/3</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">vM6<br /> | <td style="text-align: center;">vM6<br /> | ||
</td> | |||
<td style="text-align: center;">Bv<br /> | |||
</td> | </td> | ||
<td>Blue major sixth<br /> | <td>Blue major sixth<br /> | ||
| Line 1,499: | Line 1,565: | ||
<td style="text-align: center;">907.32<br /> | <td style="text-align: center;">907.32<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/27_16">27/16</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">M6<br /> | <td style="text-align: center;">M6<br /> | ||
</td> | |||
<td style="text-align: center;">B<br /> | |||
</td> | </td> | ||
<td>Gray major sixth<br /> | <td>Gray major sixth<br /> | ||
| Line 1,517: | Line 1,585: | ||
<td style="text-align: center;">936.59<br /> | <td style="text-align: center;">936.59<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/12_7">12/7</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^M6<br /> | <td style="text-align: center;">^M6<br /> | ||
</td> | |||
<td style="text-align: center;">B^<br /> | |||
</td> | </td> | ||
<td>Red major sixth<br /> | <td>Red major sixth<br /> | ||
| Line 1,535: | Line 1,605: | ||
<td style="text-align: center;">965.85<br /> | <td style="text-align: center;">965.85<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/7_4">7/4</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">vm7<br /> | <td style="text-align: center;">vm7<br /> | ||
</td> | |||
<td style="text-align: center;">vC<br /> | |||
</td> | </td> | ||
<td>Blue minor seventh<br /> | <td>Blue minor seventh<br /> | ||
| Line 1,553: | Line 1,625: | ||
<td style="text-align: center;">995.12<br /> | <td style="text-align: center;">995.12<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/16_9">16/9</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">m7<br /> | <td style="text-align: center;">m7<br /> | ||
</td> | |||
<td style="text-align: center;">C<br /> | |||
</td> | </td> | ||
<td>Gray minor seventh<br /> | <td>Gray minor seventh<br /> | ||
| Line 1,571: | Line 1,645: | ||
<td style="text-align: center;">1024.39<br /> | <td style="text-align: center;">1024.39<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/9_5">9/5</a>, <a class="wiki_link" href="/20_11">20/11</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^m7<br /> | <td style="text-align: center;">^m7<br /> | ||
</td> | |||
<td style="text-align: center;">C^<br /> | |||
</td> | </td> | ||
<td>Red minor seventh<br /> | <td>Red minor seventh<br /> | ||
| Line 1,589: | Line 1,665: | ||
<td style="text-align: center;">1053.66<br /> | <td style="text-align: center;">1053.66<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/11_6">11/6</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">~7<br /> | <td style="text-align: center;">~7<br /> | ||
</td> | |||
<td style="text-align: center;">C^^<br /> | |||
</td> | </td> | ||
<td>Neutral seventh<br /> | <td>Neutral seventh<br /> | ||
| Line 1,607: | Line 1,685: | ||
<td style="text-align: center;">1082.93<br /> | <td style="text-align: center;">1082.93<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/15_8">15/8</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">vM7<br /> | <td style="text-align: center;">vM7<br /> | ||
</td> | |||
<td style="text-align: center;">C#v<br /> | |||
</td> | </td> | ||
<td>Blue major seventh<br /> | <td>Blue major seventh<br /> | ||
| Line 1,625: | Line 1,705: | ||
<td style="text-align: center;">1112.20<br /> | <td style="text-align: center;">1112.20<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/40_21">40/21</a>, <a class="wiki_link" href="/21_11">21/11</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">M7<br /> | <td style="text-align: center;">M7<br /> | ||
</td> | |||
<td style="text-align: center;">C#<br /> | |||
</td> | </td> | ||
<td>Gray major seventh<br /> | <td>Gray major seventh<br /> | ||
| Line 1,643: | Line 1,725: | ||
<td style="text-align: center;">1141.46<br /> | <td style="text-align: center;">1141.46<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/48_25">48/25</a>, <a class="wiki_link" href="/27_14">27/14</a>,<br /> | ||
<a class="wiki_link" href="/64_33">64/33</a><br /> | <a class="wiki_link" href="/64_33">64/33</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^M7<br /> | <td style="text-align: center;">^M7<br /> | ||
</td> | |||
<td style="text-align: center;">C#^<br /> | |||
</td> | </td> | ||
<td>Red major seventh<br /> | <td>Red major seventh<br /> | ||
| Line 1,662: | Line 1,746: | ||
<td style="text-align: center;">1170.73<br /> | <td style="text-align: center;">1170.73<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;"><a class="wiki_link" href="/160_81">160/81</a><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">v8<br /> | <td style="text-align: center;">v8<br /> | ||
</td> | |||
<td style="text-align: center;">Dv<br /> | |||
</td> | </td> | ||
<td>Blue octave<br /> | <td>Blue octave<br /> | ||
| Line 1,680: | Line 1,766: | ||
<td style="text-align: center;">1200<br /> | <td style="text-align: center;">1200<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: left;">2/1<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">P8<br /> | <td style="text-align: center;">P8<br /> | ||
</td> | |||
<td style="text-align: center;">D<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,872: | Line 1,960: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:19:&lt;h1&gt; --><h1 id="toc5"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:19 -->Instruments</h1> | <!-- ws:start:WikiTextHeadingRule:19:&lt;h1&gt; --><h1 id="toc5"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:19 -->Instruments</h1> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:2717:&lt;img src=&quot;/file/view/Ron_Sword_with_a_41ET_Guitar.jpg/221056094/Ron_Sword_with_a_41ET_Guitar.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/Ron_Sword_with_a_41ET_Guitar.jpg/221056094/Ron_Sword_with_a_41ET_Guitar.jpg" alt="Ron_Sword_with_a_41ET_Guitar.jpg" title="Ron_Sword_with_a_41ET_Guitar.jpg" /><!-- ws:end:WikiTextLocalImageRule:2717 --><br /> | ||
<em>41-EDO Classical guitar, by Ron Sword.</em><br /> | <em>41-EDO Classical guitar, by Ron Sword.</em><br /> | ||
<br /> | <br /> | ||
| Line 2,973: | Line 3,061: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:29:&lt;h1&gt; --><h1 id="toc10"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:29 -->Links</h1> | <!-- ws:start:WikiTextHeadingRule:29:&lt;h1&gt; --><h1 id="toc10"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:29 -->Links</h1> | ||
<ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow">Wikipedia article on 41edo</a></li><li><a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis">Magic22 as srutis</a> describes a possible use of 41edo for <a class="wiki_link" href="/indian">indian</a> music.</li><li>see also <a class="wiki_link" href="/Magic%20family">Magic family</a></li><li>Sword, Ron. <a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow" target="_blank">&quot;Tetracontamonophonic Scales for Guitar&quot;</a></li></ul><!-- ws:start:WikiTextReferencesRule: | <ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow">Wikipedia article on 41edo</a></li><li><a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis">Magic22 as srutis</a> describes a possible use of 41edo for <a class="wiki_link" href="/indian">indian</a> music.</li><li>see also <a class="wiki_link" href="/Magic%20family">Magic family</a></li><li>Sword, Ron. <a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow" target="_blank">&quot;Tetracontamonophonic Scales for Guitar&quot;</a></li></ul><!-- ws:start:WikiTextReferencesRule:4128: --><hr class="references" /><ol class="references"> | ||
<li id="cite_note-1"><a href="#cite_ref-1">^</a> <a class="wiki_link_ext" href="http://x31eq.com/schismic.htm" rel="nofollow">&quot;Schismic Temperaments&quot;</a> at x31eq.com the website of <a class="wiki_link" href="/Graham%20Breed">Graham Breed</a></li> | <li id="cite_note-1"><a href="#cite_ref-1">^</a> <a class="wiki_link_ext" href="http://x31eq.com/schismic.htm" rel="nofollow">&quot;Schismic Temperaments&quot;</a> at x31eq.com the website of <a class="wiki_link" href="/Graham%20Breed">Graham Breed</a></li> | ||
<li id="cite_note-2"><a href="#cite_ref-2">^</a> <a class="wiki_link_ext" href="http://x31eq.com/decimal_lattice.htm" rel="nofollow">&quot;Lattices with Decimal Notation&quot;</a> at x31eq.com</li> | <li id="cite_note-2"><a href="#cite_ref-2">^</a> <a class="wiki_link_ext" href="http://x31eq.com/decimal_lattice.htm" rel="nofollow">&quot;Lattices with Decimal Notation&quot;</a> at x31eq.com</li> | ||
<li id="cite_note-3"><a href="#cite_ref-3">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Schismatic_temperament" rel="nofollow">Schismatic temperament</a></li> | <li id="cite_note-3"><a href="#cite_ref-3">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Schismatic_temperament" rel="nofollow">Schismatic temperament</a></li> | ||
<li id="cite_note-4"><a href="#cite_ref-4">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Magic_temperament" rel="nofollow">Magic temperament</a></li> | <li id="cite_note-4"><a href="#cite_ref-4">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Magic_temperament" rel="nofollow">Magic temperament</a></li> | ||
</ol><!-- ws:end:WikiTextReferencesRule: | </ol><!-- ws:end:WikiTextReferencesRule:4128 --></body></html></pre></div> | ||