16edo: Difference between revisions
Wikispaces>clamengh **Imported revision 540933548 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 545194424 - 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: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-03-24 17:12:40 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>545194424</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 17: | Line 17: | ||
=Intervals= | =Intervals= | ||
|| Degree || Cents ||= Approximate | || Degree || Cents | ||
DMS ||= Approximate | |||
Ratios* || Interval Name || | Ratios* || Interval Name || | ||
|| 0 || 0 ||= 1/1 || Unison || | || 0 || 0 ||= 1/1 || Unison || | ||
|| 1 || 75 ||= 28/27, 27/26 || Subminor 2nd || | || 1 || 75 | ||
|| 2 || 150 ||= 12/11, 35/32 || Neutral 2nd || | 22º30' ||= 28/27, 27/26 || Subminor 2nd || | ||
|| 3 || 225 ||= 8/7 || Supermajor 2nd, | || 2 || 150 | ||
45° ||= 12/11, 35/32 || Neutral 2nd || | |||
|| 3 || 225 | |||
67°30' ||= 8/7 || Supermajor 2nd, | |||
Septimal Whole-Tone || | Septimal Whole-Tone || | ||
|| 4 || 300 ||= 19/16, 32/27 || Minor 3rd || | || 4 || 300 | ||
|| 5 || 375 ||= 5/4, 26/21 || Major 3rd || | 90° ||= 19/16, 32/27 || Minor 3rd || | ||
|| 6 || 450 ||= 13/10, 35/27 || Sub-4th, | || 5 || 375 | ||
112°30' ||= 5/4, 26/21 || Major 3rd || | |||
|| 6 || 450 | |||
135° ||= 13/10, 35/27 || Sub-4th, | |||
Supermajor 3rd || | Supermajor 3rd || | ||
|| 7 || 525 ||= 27/20, 52/35, 256/189 || Wide 4th || | || 7 || 525 | ||
|| 8 || 600 ||= 7/5, 10/7 || Tritone || | 157°30' ||= 27/20, 52/35, 256/189 || Wide 4th || | ||
|| 9 || 675 ||= 40/27, 35/26, 189/128 || Narrow 5th || | || 8 || 600 | ||
|| 10 || 750 ||= 20/13, 54/35 || Super-5th, | 180° ||= 7/5, 10/7 || Tritone || | ||
|| 9 || 675 | |||
202°30' ||= 40/27, 35/26, 189/128 || Narrow 5th || | |||
|| 10 || 750 | |||
225° ||= 20/13, 54/35 || Super-5th, | |||
Subminor 6th || | Subminor 6th || | ||
|| 11 || 825 ||= 8/5, 21/13 || Minor 6th || | || 11 || 825 | ||
|| 12 || 900 ||= 27/16, 32/19 || Major 6th || | 247°30' ||= 8/5, 21/13 || Minor 6th || | ||
|| 13 || 975 ||= 7/4 || Subminor 7th, | || 12 || 900 | ||
270° ||= 27/16, 32/19 || Major 6th || | |||
|| 13 || 975 | |||
292°30' ||= 7/4 || Subminor 7th, | |||
Septimal Minor 7th || | Septimal Minor 7th || | ||
|| 14 || 1050 ||= 11/6, 64/35 || Neutral 7th || | || 14 || 1050 | ||
|| 15 || 1125 ||= 27/14, 52/27 || Supermajor 7th || | 315° ||= 11/6, 64/35 || Neutral 7th || | ||
|| 16 || 1200 ||= 2/1 || Octave || | || 15 || 1125 | ||
337°30' ||= 27/14, 52/27 || Supermajor 7th || | |||
|| 16 || 1200 | |||
367] ||= 2/1 || Octave || | |||
*based on treating 16-EDO as a 2.5.7.13.19.27 subgroup temperament; other approaches are possible. | *based on treating 16-EDO as a 2.5.7.13.19.27 subgroup temperament; other approaches are possible. | ||
| Line 228: | Line 245: | ||
</td> | </td> | ||
<td>Cents<br /> | <td>Cents<br /> | ||
DMS<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Approximate<br /> | <td style="text-align: center;">Approximate<br /> | ||
| Line 249: | Line 267: | ||
</td> | </td> | ||
<td>75<br /> | <td>75<br /> | ||
22º30'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">28/27, 27/26<br /> | <td style="text-align: center;">28/27, 27/26<br /> | ||
| Line 259: | Line 278: | ||
</td> | </td> | ||
<td>150<br /> | <td>150<br /> | ||
45°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">12/11, 35/32<br /> | <td style="text-align: center;">12/11, 35/32<br /> | ||
| Line 269: | Line 289: | ||
</td> | </td> | ||
<td>225<br /> | <td>225<br /> | ||
67°30'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">8/7<br /> | <td style="text-align: center;">8/7<br /> | ||
| Line 280: | Line 301: | ||
</td> | </td> | ||
<td>300<br /> | <td>300<br /> | ||
90°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">19/16, 32/27<br /> | <td style="text-align: center;">19/16, 32/27<br /> | ||
| Line 290: | Line 312: | ||
</td> | </td> | ||
<td>375<br /> | <td>375<br /> | ||
112°30'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5/4, 26/21<br /> | <td style="text-align: center;">5/4, 26/21<br /> | ||
| Line 300: | Line 323: | ||
</td> | </td> | ||
<td>450<br /> | <td>450<br /> | ||
135°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">13/10, 35/27<br /> | <td style="text-align: center;">13/10, 35/27<br /> | ||
| Line 311: | Line 335: | ||
</td> | </td> | ||
<td>525<br /> | <td>525<br /> | ||
157°30'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">27/20, 52/35, 256/189<br /> | <td style="text-align: center;">27/20, 52/35, 256/189<br /> | ||
| Line 321: | Line 346: | ||
</td> | </td> | ||
<td>600<br /> | <td>600<br /> | ||
180°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">7/5, 10/7<br /> | <td style="text-align: center;">7/5, 10/7<br /> | ||
| Line 331: | Line 357: | ||
</td> | </td> | ||
<td>675<br /> | <td>675<br /> | ||
202°30'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">40/27, 35/26, 189/128<br /> | <td style="text-align: center;">40/27, 35/26, 189/128<br /> | ||
| Line 341: | Line 368: | ||
</td> | </td> | ||
<td>750<br /> | <td>750<br /> | ||
225°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">20/13, 54/35<br /> | <td style="text-align: center;">20/13, 54/35<br /> | ||
| Line 352: | Line 380: | ||
</td> | </td> | ||
<td>825<br /> | <td>825<br /> | ||
247°30'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">8/5, 21/13<br /> | <td style="text-align: center;">8/5, 21/13<br /> | ||
| Line 362: | Line 391: | ||
</td> | </td> | ||
<td>900<br /> | <td>900<br /> | ||
270°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">27/16, 32/19<br /> | <td style="text-align: center;">27/16, 32/19<br /> | ||
| Line 372: | Line 402: | ||
</td> | </td> | ||
<td>975<br /> | <td>975<br /> | ||
292°30'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">7/4<br /> | <td style="text-align: center;">7/4<br /> | ||
| Line 383: | Line 414: | ||
</td> | </td> | ||
<td>1050<br /> | <td>1050<br /> | ||
315°<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">11/6, 64/35<br /> | <td style="text-align: center;">11/6, 64/35<br /> | ||
| Line 393: | Line 425: | ||
</td> | </td> | ||
<td>1125<br /> | <td>1125<br /> | ||
337°30'<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">27/14, 52/27<br /> | <td style="text-align: center;">27/14, 52/27<br /> | ||
| Line 403: | Line 436: | ||
</td> | </td> | ||
<td>1200<br /> | <td>1200<br /> | ||
367]<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">2/1<br /> | <td style="text-align: center;">2/1<br /> | ||