15edo: Difference between revisions
Wikispaces>xenwolf **Imported revision 518608988 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 545192816 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2015-03-24 16:57:18 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>545192816</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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=Intervals= | =Intervals= | ||
|| Degree || Cents || Solfege | || Degree || Cents | ||
DMS || Solfege | |||
(porcupine-based) || Blackwood | (porcupine-based) || Blackwood | ||
"guitar notation" || Porcupine[7] || Blackwood | "guitar notation" || Porcupine[7] || Blackwood | ||
Decimal ||= Approximate Ratios* || | Decimal ||= Approximate Ratios* || | ||
|| 0 || 0 || do || E || G || 1 ||= 1/1 || | || 0 || 0 || do || E || G || 1 ||= 1/1 || | ||
|| 1 || 80 || di || E# || G# / Abb || 1# / 2b ||= 25/24, 21/20, 16/15 || | || 1 || 80 | ||
|| 2 || 160 || ru || Gb || Gx / Ab || 2 ||= 11/10, 12/11, 10/9 || | 24° || di || E# || G# / Abb || 1# / 2b ||= 25/24, 21/20, 16/15 || | ||
|| 3 || 240 || re || G || A || 3 ||= 8/7, 7/6, 9/8 || | || 2 || 160 | ||
|| 4 || 320 || me || G# || A# / Bb || 3# / 4b ||= 6/5, 11/9 || | 48° || ru || Gb || Gx / Ab || 2 ||= 11/10, 12/11, 10/9 || | ||
|| 5 || 400 || mi || Ab || B || 4 ||= 5/4, 14/11 || | || 3 || 240 | ||
|| 6 || 480 || fa || A || B# / Cb || 5 ||= 4/3, 9/7, 21/16 || | 72° || re || G || A || 3 ||= 8/7, 7/6, 9/8 || | ||
|| 7 || 560 || fu || A# || C || 5# / 6b ||= 11/8, 7/5 || | || 4 || 320 | ||
|| 8 || 640 || su || Bb || C# / Db || 6 ||= 16/11, 10/7 || | 96° || me || G# || A# / Bb || 3# / 4b ||= 6/5, 11/9 || | ||
|| 9 || 720 || sol || B || D || 7 ||= 3/2, 14/9, 32/21 || | || 5 || 400 | ||
|| 10 || 800 || le || B# || D# / Eb || 7# / 8b ||= 8/5, 11/7 || | 120° || mi || Ab || B || 4 ||= 5/4, 14/11 || | ||
|| 11 || 880 || la || Db || E || 8 ||= 5/3, 18/11 || | || 6 || 480 | ||
|| 12 || 960 || ta || D || E# / Fb || 9 ||= 7/4, 12/7, 16/9 || | 144° || fa || A || B# / Cb || 5 ||= 4/3, 9/7, 21/16 || | ||
|| 13 || 1040 || tu || D# || F || 9# / 0b ||= 20/11, 11/6, 9/5 || | || 7 || 560 | ||
|| 14 || 1120 || ti || Eb || F# /Gb || 0 ||= 48/25, 40/21, 15/8 || | 168° || fu || A# || C || 5# / 6b ||= 11/8, 7/5 || | ||
|| 15 || 1200 || do || E || G || 1 ||= 2/1 || | || 8 || 640 | ||
192° || su || Bb || C# / Db || 6 ||= 16/11, 10/7 || | |||
|| 9 || 720 | |||
216° || sol || B || D || 7 ||= 3/2, 14/9, 32/21 || | |||
|| 10 || 800 | |||
240° || le || B# || D# / Eb || 7# / 8b ||= 8/5, 11/7 || | |||
|| 11 || 880 | |||
264° || la || Db || E || 8 ||= 5/3, 18/11 || | |||
|| 12 || 960 | |||
288° || ta || D || E# / Fb || 9 ||= 7/4, 12/7, 16/9 || | |||
|| 13 || 1040 | |||
312° || tu || D# || F || 9# / 0b ||= 20/11, 11/6, 9/5 || | |||
|| 14 || 1120 | |||
336° || ti || Eb || F# /Gb || 0 ||= 48/25, 40/21, 15/8 || | |||
|| 15 || 1200 | |||
360° || do || E || G || 1 ||= 2/1 || | |||
*based on treating 15-EDO as an 11-limit temperament; other approaches are possible | *based on treating 15-EDO as an 11-limit temperament; other approaches are possible | ||
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</td> | </td> | ||
<td>Cents<br /> | <td>Cents<br /> | ||
DMS<br /> | |||
</td> | </td> | ||
<td>Solfege<br /> | <td>Solfege<br /> | ||
| Line 244: | Line 261: | ||
</td> | </td> | ||
<td>80<br /> | <td>80<br /> | ||
24°<br /> | |||
</td> | </td> | ||
<td>di<br /> | <td>di<br /> | ||
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</td> | </td> | ||
<td>160<br /> | <td>160<br /> | ||
48°<br /> | |||
</td> | </td> | ||
<td>ru<br /> | <td>ru<br /> | ||
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</td> | </td> | ||
<td>240<br /> | <td>240<br /> | ||
72°<br /> | |||
</td> | </td> | ||
<td>re<br /> | <td>re<br /> | ||
| Line 292: | Line 312: | ||
</td> | </td> | ||
<td>320<br /> | <td>320<br /> | ||
96°<br /> | |||
</td> | </td> | ||
<td>me<br /> | <td>me<br /> | ||
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</td> | </td> | ||
<td>400<br /> | <td>400<br /> | ||
120°<br /> | |||
</td> | </td> | ||
<td>mi<br /> | <td>mi<br /> | ||
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</td> | </td> | ||
<td>480<br /> | <td>480<br /> | ||
144°<br /> | |||
</td> | </td> | ||
<td>fa<br /> | <td>fa<br /> | ||
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</td> | </td> | ||
<td>560<br /> | <td>560<br /> | ||
168°<br /> | |||
</td> | </td> | ||
<td>fu<br /> | <td>fu<br /> | ||
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</td> | </td> | ||
<td>640<br /> | <td>640<br /> | ||
192°<br /> | |||
</td> | </td> | ||
<td>su<br /> | <td>su<br /> | ||
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</td> | </td> | ||
<td>720<br /> | <td>720<br /> | ||
216°<br /> | |||
</td> | </td> | ||
<td>sol<br /> | <td>sol<br /> | ||
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</td> | </td> | ||
<td>800<br /> | <td>800<br /> | ||
240°<br /> | |||
</td> | </td> | ||
<td>le<br /> | <td>le<br /> | ||
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</td> | </td> | ||
<td>880<br /> | <td>880<br /> | ||
264°<br /> | |||
</td> | </td> | ||
<td>la<br /> | <td>la<br /> | ||
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</td> | </td> | ||
<td>960<br /> | <td>960<br /> | ||
288°<br /> | |||
</td> | </td> | ||
<td>ta<br /> | <td>ta<br /> | ||
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</td> | </td> | ||
<td>1040<br /> | <td>1040<br /> | ||
312°<br /> | |||
</td> | </td> | ||
<td>tu<br /> | <td>tu<br /> | ||
| Line 452: | Line 482: | ||
</td> | </td> | ||
<td>1120<br /> | <td>1120<br /> | ||
336°<br /> | |||
</td> | </td> | ||
<td>ti<br /> | <td>ti<br /> | ||
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</td> | </td> | ||
<td>1200<br /> | <td>1200<br /> | ||
360°<br /> | |||
</td> | </td> | ||
<td>do<br /> | <td>do<br /> | ||