10edo: Difference between revisions
Wikispaces>xenwolf **Imported revision 602900664 - Original comment: ** |
Wikispaces>diagonalia **Imported revision 603051974 - 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:diagonalia|diagonalia]] and made on <tt>2017-01-03 20:34:07 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>603051974</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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||~ Degree ||~ Cents ||~ Approximate Ratios* ||~ Additional Ratios* | ||~ Degree ||~ Cents ||~ Approximate Ratios* ||~ Additional Ratios* | ||
of 3, 5 and 9 ||~ Interval Names ||||||~ [[Ups and Downs Notation|ups and downs notation]] || | of 3, 5 and 9 ||~ Interval Names ||||||~ [[Ups and Downs Notation|ups and downs notation]] || | ||
|| | || 0 ||> 0 ||= 1/1 || 256/243, 50/49, 25/24 || unison || unison, min 2nd ||= P1, m2 ||= D. Eb || | ||
|| | || 1 ||> 120 ||= 16/15, 15/14, 13/14 || 10/9, 13/12, 81/80 || small neutral second, large minor second || mid 2nd ||= ~2 ||= D^, Ev || | ||
|| | || 2 ||> 240 ||= 8/7, 15/13, 144/125 || 9/8, 7/6 || second/third || maj 2nd, min 3rd ||= M2,m3 ||= E, F || | ||
|| | || 3 ||> 360 ||= 16/13 || 5/4 || large neutral third || mid 3rd ||= ~3 ||= F^, Gv || | ||
|| | || 4 ||> 480 ||= 64/49, 169/128 || 4/3, 9/7, 13/10 || smaller fourth || maj 3rd, perf 4th ||= M3,P4 ||= F#, G || | ||
|| | || 5 ||> 600 ||= 91/64, 128/91, 169/120, 240/169 || 7/5, 10/7, 13/9, 18/13 || tritone || up 4th, down 5th ||= ^4,v5 ||= G^, Av || | ||
|| | || 6 ||> 720 ||= 49/32, 256/169 || 3/2, 14/9, 20/13 || bigger fifth || perf 5th, min 6th ||= P5,m6 ||= A, Bb || | ||
|| | || 7 ||> 840 ||= 13/8 || 8/5 || neutral sixth || mid 6th ||= ~6 ||= A^, Bv || | ||
|| | || 8 ||> 960 ||= 7/4, 26/15, 125/72 || 16/9, 12/7 || sixth/seventh || maj 6th, min 7th ||= M6,m7 ||= B, C || | ||
|| | || 9 ||> 1080 ||= 15/8, 28/15, 13/7 || 9/5, 24/13, 160/81 || small major 7th || mid 7th ||= ~7 ||= C^, Dv || | ||
|| 10 ||> 1200 ||= 2/1 || 243/128, 49/25, 48/25 || octave || octave ||= P8 ||= D || | || 10 ||> 1200 ||= 2/1 || 243/128, 49/25, 48/25 || octave || maj 7th, octave ||= P8 ||= C#, D || | ||
*based on treating 10-EDO as a 2.7.13.15 subgroup temperament. | *based on treating 10-EDO as a 2.7.13.15 subgroup temperament. | ||
*adding the ratios of 3, 5 and 9 introduces greater [[error]] while giving several more harmonic identities to the 10-EDO intervals. | *adding the ratios of 3, 5 and 9 introduces greater [[error]] while giving several more harmonic identities to the 10-EDO intervals. | ||
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<td>unison<br /> | <td>unison<br /> | ||
</td> | </td> | ||
<td>unison<br /> | <td>unison, min 2nd<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">P1<br /> | <td style="text-align: center;">P1, m2<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">D<br /> | <td style="text-align: center;">D. Eb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>octave<br /> | <td>octave<br /> | ||
</td> | </td> | ||
<td>octave<br /> | <td>maj 7th, octave<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">P8<br /> | <td style="text-align: center;">P8<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">D<br /> | <td style="text-align: center;">C#, D<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||