36edo: Difference between revisions
Wikispaces>TallKite **Imported revision 602865118 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 602873062 - 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: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-28 11:45:18 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602873062</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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63/32 = 1172.736... cents; 35 degrees of 36edo = 1166.666... cents. | 63/32 = 1172.736... cents; 35 degrees of 36edo = 1166.666... cents. | ||
The following table gives an overview of all degrees of 36edo. | |||
||~ Degree ||~ Size | |||
||~ Degree ||~ | in [[cent|cents]] ||~ Approximate | ||
ratios of 2.3.7 ||~ Additional ratios | ratios of 2.3.7 ||~ Additional ratios | ||
of 2.3.7.13.17 ||||||~ [[xenharmonic/Ups and Downs Notation|ups and downs ]][[xenharmonic/Ups and Downs Notation|notation]] || | of 2.3.7.13.17 ||||||~ [[xenharmonic/Ups and Downs Notation|ups and downs ]][[xenharmonic/Ups and Downs Notation|notation]] || | ||
||= 0 || | ||= 0 ||> 0.00 ||= 1/1 ||= ||= P1 ||= perfect unison ||= D || | ||
||= 1 || | ||= 1 ||> 33.33 ||= 64/63 ~ 49/48 ||= ||= ^1 ||= up unison ||= D^ || | ||
||= 2 || | ||= 2 ||> 66.67 ||= 28/27 ||= ||= vm2 ||= downminor 2nd ||= Ebv || | ||
||= 3 || | ||= 3 ||> 100.00 ||= 256/243 ||= 17/16 ~ 18/17 ||= m2 ||= minor 2nd ||= Eb || | ||
||= 4 || | ||= 4 ||> 133.33 ||= 243/224 ||= 14/13 ~ 13/12 ||= ^m2 ||= upminor 2nd ||= Eb^ || | ||
||= 5 || | ||= 5 ||> 166.67 ||= 54/49 ||= ||= vM2 ||= downmajor 2nd ||= Ev || | ||
||= 6 || | ||= 6 ||> 200.00 ||= 9/8 ||= ||= M2 ||= major 2nd ||= E || | ||
||= 7 || | ||= 7 ||> 233.33 ||= 8/7 ||= ||= ^M2 ||= upmajor 2nd ||= E^ || | ||
||= 8 || | ||= 8 ||> 266.67 ||= 7/6 ||= ||= vm3 ||= downminor 3rd ||= Fv || | ||
||= 9 || | ||= 9 ||> 300.00 ||= 32/37 ||= ||= m3 ||= minor 3rd ||= F || | ||
||= 10 || | ||= 10 ||> 333.33 ||= 98/81 ||= 17/14 ||= ^m3 ||= upminor 3rd ||= F^ || | ||
||= 11 || | ||= 11 ||> 366.67 ||= 243/196 ||= 16/13 ~ 26/21 ~ 21/17 ||= vM3 ||= downmajor 3rd ||= F#v || | ||
||= 12 || | ||= 12 ||> 400.00 ||= 81/64 ||= ||= M3 ||= major 3rd ||= F# || | ||
||= 13 || | ||= 13 ||> 433.33 ||= 9/7 ||= ||= ^M3 ||= upmajor 3rd ||= F#^ || | ||
||= 14 || | ||= 14 ||> 466.67 ||= 64/49 ~ 21/16 ||= 17/13 ||= v4 ||= down 4th ||= Gv || | ||
||= 15 || | ||= 15 ||> 500.00 ||= 4/3 ||= ||= P4 ||= 4th ||= G || | ||
||= 16 || | ||= 16 ||> 533.33 ||= 49/36 ||= ||= ^4 ||= up 4th ||= G^ || | ||
||= 17 || | ||= 17 ||> 566.67 ||= ||= 18/13 ||= vA4 ||= downaug 4th ||= G#v || | ||
||= 18 || | ||= 18 ||> 600.00 ||= ||= ||= A4, d5 ||= aug 4th, dim 5th ||= G#, Ab || | ||
||= 19 || | ||= 19 ||> 633.33 ||= ||= 13/9 ||= ^d5 ||= updim 5th ||= Ab^ || | ||
||= 20 || | ||= 20 ||> 666.67 ||= 72/49 ||= ||= v5 ||= down 5th ||= Av || | ||
||= 21 || | ||= 21 ||> 700.00 ||= 3/2 ||= ||= P5 ||= 5th ||= A || | ||
||= 22 || | ||= 22 ||> 733.33 ||= 49/32 ~ 32/21 ||= 26/17 ||= ^5 ||= up fifth ||= A^ || | ||
||= 23 || | ||= 23 ||> 766.67 ||= 14/9 ||= ||= vm6 ||= downminor 6th ||= Bbv || | ||
||= 24 || | ||= 24 ||> 800.00 ||= 128/81 ||= ||= m6 ||= minor 6th ||= Bb || | ||
||= 25 || | ||= 25 ||> 833.33 ||= 392/243 ||= 13/8 ~ 21/13 ~ 34/21 ||= ^m6 ||= upminor 6th ||= Bb^ || | ||
||= 26 || | ||= 26 ||> 866.67 ||= 81/49 ||= 28/17 ||= vM6 ||= downmajor 6th ||= Bv || | ||
||= 27 || | ||= 27 ||> 900.00 ||= 27/16 ||= ||= M6 ||= major 6th ||= B || | ||
||= 28 || | ||= 28 ||> 933.33 ||= 12/7 ||= ||= ^M6 ||= upmajor 6th ||= B^ || | ||
||= 29 || | ||= 29 ||> 966.67 ||= 7/4 ||= ||= vm7 ||= downminor 7th ||= Cv || | ||
||= 30 || | ||= 30 ||> 1000.00 ||= 16/9 ||= ||= m7 ||= minor 7th ||= C || | ||
||= 31 || | ||= 31 ||> 1033.33 ||= 49/27 ||= ||= ^m7 ||= upminor 7th ||= C^ || | ||
||= 32 || | ||= 32 ||> 1066.67 ||= 448/243 ||= 13/7 ~ 24/13 ||= vM7 ||= downmajor 7th ||= C#v || | ||
||= 33 || | ||= 33 ||> 1100.00 ||= 243/128 ||= 32/17 ~ 17/9 ||= M7 ||= major 7th ||= C# || | ||
||= 34 || | ||= 34 ||> 1133.33 ||= 27/14 ||= ||= ^M7 ||= upmajor 7th ||= C#^ || | ||
||= 35 || | ||= 35 ||> 1166.67 ||= 63/32 ~ 96/49 ||= ||= v8 ||= down 8ve ||= Dv || | ||
||= 36 || | ||= 36 ||> 1200.00 ||= 2/1 ||= ||= P8 ||= 8ve ||= D || | ||
Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]]. | Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]]. | ||
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63/32 = 1172.736... cents; 35 degrees of 36edo = 1166.666... cents.<br /> | 63/32 = 1172.736... cents; 35 degrees of 36edo = 1166.666... cents.<br /> | ||
<br /> | <br /> | ||
The following table gives an overview of all degrees of 36edo.<br /> | |||
<br /> | <br /> | ||
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<th>Degree<br /> | <th>Degree<br /> | ||
</th> | </th> | ||
<th> | <th>Size <br /> | ||
in <a class="wiki_link" href="/cent">cents</a><br /> | |||
</th> | </th> | ||
<th>Approximate <br /> | <th>Approximate <br /> | ||
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<td style="text-align: center;">0<br /> | <td style="text-align: center;">0<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">0.00<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">1/1<br /> | <td style="text-align: center;">1/1<br /> | ||
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<td style="text-align: center;">1<br /> | <td style="text-align: center;">1<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">33.33<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">64/63 ~ 49/48<br /> | <td style="text-align: center;">64/63 ~ 49/48<br /> | ||
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<td style="text-align: center;">2<br /> | <td style="text-align: center;">2<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">66.67<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">28/27<br /> | <td style="text-align: center;">28/27<br /> | ||
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<td style="text-align: center;">3<br /> | <td style="text-align: center;">3<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">100.00<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">256/243<br /> | <td style="text-align: center;">256/243<br /> | ||
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<td style="text-align: center;">4<br /> | <td style="text-align: center;">4<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">133.33<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">243/224<br /> | <td style="text-align: center;">243/224<br /> | ||
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<td style="text-align: center;">5<br /> | <td style="text-align: center;">5<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">166.67<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">54/49<br /> | <td style="text-align: center;">54/49<br /> | ||
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<td style="text-align: center;">6<br /> | <td style="text-align: center;">6<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">200.00<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">9/8<br /> | <td style="text-align: center;">9/8<br /> | ||
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<td style="text-align: center;">7<br /> | <td style="text-align: center;">7<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">233.33<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">8/7<br /> | <td style="text-align: center;">8/7<br /> | ||
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<td style="text-align: center;">8<br /> | <td style="text-align: center;">8<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">266.67<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">7/6<br /> | <td style="text-align: center;">7/6<br /> | ||
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<td style="text-align: center;">9<br /> | <td style="text-align: center;">9<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">300.00<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">32/37<br /> | <td style="text-align: center;">32/37<br /> | ||
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<td style="text-align: center;">10<br /> | <td style="text-align: center;">10<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">333.33<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">98/81<br /> | <td style="text-align: center;">98/81<br /> | ||
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<td style="text-align: center;">11<br /> | <td style="text-align: center;">11<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">366.67<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">243/196<br /> | <td style="text-align: center;">243/196<br /> | ||
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<td style="text-align: center;">12<br /> | <td style="text-align: center;">12<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">400.00<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">81/64<br /> | <td style="text-align: center;">81/64<br /> | ||
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<td style="text-align: center;">13<br /> | <td style="text-align: center;">13<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">433.33<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">9/7<br /> | <td style="text-align: center;">9/7<br /> | ||
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<td style="text-align: center;">14<br /> | <td style="text-align: center;">14<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">466.67<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">64/49 ~ 21/16<br /> | <td style="text-align: center;">64/49 ~ 21/16<br /> | ||
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<td style="text-align: center;">15<br /> | <td style="text-align: center;">15<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">500.00<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">4/3<br /> | <td style="text-align: center;">4/3<br /> | ||
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<td style="text-align: center;">16<br /> | <td style="text-align: center;">16<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">533.33<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">49/36<br /> | <td style="text-align: center;">49/36<br /> | ||
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<td style="text-align: center;">17<br /> | <td style="text-align: center;">17<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">566.67<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
Line 515: | Line 517: | ||
<td style="text-align: center;">18<br /> | <td style="text-align: center;">18<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">600.00<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
Line 531: | Line 533: | ||
<td style="text-align: center;">19<br /> | <td style="text-align: center;">19<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">633.33<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td style="text-align: center;">20<br /> | <td style="text-align: center;">20<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">666.67<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">72/49<br /> | <td style="text-align: center;">72/49<br /> | ||
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<td style="text-align: center;">21<br /> | <td style="text-align: center;">21<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">700.00<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">3/2<br /> | <td style="text-align: center;">3/2<br /> | ||
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<td style="text-align: center;">22<br /> | <td style="text-align: center;">22<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">733.33<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">49/32 ~ 32/21<br /> | <td style="text-align: center;">49/32 ~ 32/21<br /> | ||
Line 595: | Line 597: | ||
<td style="text-align: center;">23<br /> | <td style="text-align: center;">23<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">766.67<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">14/9<br /> | <td style="text-align: center;">14/9<br /> | ||
Line 611: | Line 613: | ||
<td style="text-align: center;">24<br /> | <td style="text-align: center;">24<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">800.00<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">128/81<br /> | <td style="text-align: center;">128/81<br /> | ||
Line 627: | Line 629: | ||
<td style="text-align: center;">25<br /> | <td style="text-align: center;">25<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">833.33<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">392/243<br /> | <td style="text-align: center;">392/243<br /> | ||
Line 643: | Line 645: | ||
<td style="text-align: center;">26<br /> | <td style="text-align: center;">26<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">866.67<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">81/49<br /> | <td style="text-align: center;">81/49<br /> | ||
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<td style="text-align: center;">27<br /> | <td style="text-align: center;">27<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">900.00<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">27/16<br /> | <td style="text-align: center;">27/16<br /> | ||
Line 675: | Line 677: | ||
<td style="text-align: center;">28<br /> | <td style="text-align: center;">28<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">933.33<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">12/7<br /> | <td style="text-align: center;">12/7<br /> | ||
Line 691: | Line 693: | ||
<td style="text-align: center;">29<br /> | <td style="text-align: center;">29<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">966.67<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">7/4<br /> | <td style="text-align: center;">7/4<br /> | ||
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<td style="text-align: center;">30<br /> | <td style="text-align: center;">30<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">1000.00<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">16/9<br /> | <td style="text-align: center;">16/9<br /> | ||
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<td style="text-align: center;">31<br /> | <td style="text-align: center;">31<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">1033.33<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">49/27<br /> | <td style="text-align: center;">49/27<br /> | ||
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<td style="text-align: center;">32<br /> | <td style="text-align: center;">32<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">1066.67<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">448/243<br /> | <td style="text-align: center;">448/243<br /> | ||
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<td style="text-align: center;">33<br /> | <td style="text-align: center;">33<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">1100.00<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">243/128<br /> | <td style="text-align: center;">243/128<br /> | ||
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<td style="text-align: center;">34<br /> | <td style="text-align: center;">34<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">1133.33<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">27/14<br /> | <td style="text-align: center;">27/14<br /> | ||
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<td style="text-align: center;">35<br /> | <td style="text-align: center;">35<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">1166.67<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">63/32 ~ 96/49<br /> | <td style="text-align: center;">63/32 ~ 96/49<br /> | ||
Line 803: | Line 805: | ||
<td style="text-align: center;">36<br /> | <td style="text-align: center;">36<br /> | ||
</td> | </td> | ||
<td style="text-align: | <td style="text-align: right;">1200.00<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">2/1<br /> | <td style="text-align: center;">2/1<br /> |