17edo: Difference between revisions
Wikispaces>torridgristle **Imported revision 622371423 - Original comment: ** |
Wikispaces>Stephen_Weigel **Imported revision 627125445 - 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:Stephen_Weigel|Stephen_Weigel]] and made on <tt>2018-03-02 14:41:29 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>627125445</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 ||~ Names | ||~ Degree ||~ Cents ||~ Names ofIntervals ||||||~ [[Ups and Downs Notation|ups and downs ]][[Ups and Downs Notation|notation]] ||~ ApproximateRatios* ||~ Temperament(s)generated || | ||
generated || | |||
|| 0 || 0 || Unison ||= unison ||= P1 ||= C ||= 1/1 || || | || 0 || 0 || Unison ||= unison ||= P1 ||= C ||= 1/1 || || | ||
|| 1 || 70.59 || Super Unison/ | || 1 || 70.59 || Super Unison/Minor Second ||= minor 2nd ||= m2 ||= Db ||= [[25_24|25/24]], [[26_25|26/25]], [[33_32|33/32]] || || | ||
Minor Second ||= minor 2nd ||= m2 ||= Db ||= [[25_24|25/24]], [[26_25|26/25]], [[33_32|33/32]] || || | || 2 || 141.18 || Augmented Unison/Neutral Second ||= mid 2nd ||= ~2 ||= Dv ||= [[13_12|13/12]], [[12_11|12/11]], [[14_13|14/13]] || [[Bleu]] || | ||
|| 2 || 141.18 || Augmented Unison/ | || 3 || 211.765 || Major Second/Sub Third ||= major 2nd ||= M2 ||= D ||= [[9_8|9/8]], [[25_22|25/22]], [[8_7|8/7]], [[28_25|28/25]] || [[Machine]] || | ||
Neutral Second ||= mid 2nd ||= ~2 ||= Dv ||= [[13_12|13/12]], [[12_11|12/11]], [[14_13|14/13]] || [[Bleu]] || | || 4 || 282.35 || Minor Third/Super Second ||= minor 3rd ||= m3 ||= Eb ||= [[13_11|13/11]], [[75_64|75/64]], [[7_6|7/6]] || [[Huxley]] || | ||
|| 3 || 211.765 || Major Second/ | || 5 || 352.94 || Augmented Second/Neutral Third/Diminished Fourth ||= mid 3rd ||= ~3 ||= Ev ||= [[11_9|11/9]], [[16_13|16/13]] || [[Maqamic]]/[[hemif]] || | ||
Sub Third ||= major 2nd ||= M2 ||= D ||= [[9_8|9/8]], [[25_22|25/22]], [[8_7|8/7]], [[28_25|28/25]] || [[Machine]] || | || 6 || 423.53 || Major Third/Sub Fourth ||= major 3rd ||= M3 ||= E ||= [[32_25|32/25]], [[33_26|33/26]], [[9_7|9/7]], [[14_11|14/11]], [[51_40|51/40]] || [[Skwares]] || | ||
|| 4 || 282.35 || Minor Third/ | |||
Super Second ||= minor 3rd ||= m3 ||= Eb ||= [[13_11|13/11]], [[75_64|75/64]], [[7_6|7/6]] || [[Huxley]] || | |||
|| 5 || 352.94 || Augmented Second/ | |||
Neutral Third/ | |||
Diminished Fourth ||= mid 3rd ||= ~3 ||= Ev ||= [[11_9|11/9]], [[16_13|16/13]] || [[Maqamic]]/[[hemif]] || | |||
|| 6 || 423.53 || Major Third/ | |||
Sub Fourth ||= major 3rd ||= M3 ||= E ||= [[32_25|32/25]], [[33_26|33/26]], [[9_7|9/7]], [[14_11|14/11]], [[51_40|51/40]] || [[Skwares]] || | |||
|| 7 || 494.11 || Perfect Fourth ||= perfect 4th ||= P4 ||= F ||= [[4_3|4/3]] || [[Supra]] || | || 7 || 494.11 || Perfect Fourth ||= perfect 4th ||= P4 ||= F ||= [[4_3|4/3]] || [[Supra]] || | ||
|| 8 || 564.71 || Super | || 8 || 564.71 || Super FourthDiminished Fifth ||= up 4th,diminished 5th ||= ^4, d5 ||= F^, Gb ||= [[11_8|11/8]], 18/13 || [[Progress]] || | ||
|| 9 || 635.29 || Augmented Fourth/Sub Fifth ||= augmented 4th,down 5th ||= A4, v5 ||= F#, Gv ||= [[16_11|16/11]], 13/9, [[23_16|23/16]] || Progress || | |||
diminished 5th ||= ^4, d5 ||= F^, Gb ||= [[11_8|11/8]], 18/13 || [[Progress]] || | |||
|| 9 || 635.29 || Augmented Fourth/ | |||
Sub Fifth ||= augmented 4th, | |||
down 5th ||= A4, v5 ||= F#, Gv ||= [[16_11|16/11]], 13/9, [[23_16|23/16]] || Progress || | |||
|| 10 || 705.88 || Perfect Fifth ||= perfect 5th ||= P5 ||= G ||= [[3_2|3/2]] || Supra || | || 10 || 705.88 || Perfect Fifth ||= perfect 5th ||= P5 ||= G ||= [[3_2|3/2]] || Supra || | ||
|| 11 || 776.47 || Super Fifth/ | || 11 || 776.47 || Super Fifth/Minor Sixth ||= minor 6th ||= m6 ||= Ab ||= 25/16, 52/33, 14/9, [[11_7|11/7]] || Skwares || | ||
Minor Sixth ||= minor 6th ||= m6 ||= Ab ||= 25/16, 52/33, 14/9, [[11_7|11/7]] || Skwares || | || 12 || 847.06 || Augmented Fifth/Neutral Sixth/Diminished Seventh ||= mid 6th ||= ~6 ||= Av ||= [[13_8|13/8]], 18/11 || Maqamic/hemif || | ||
|| 12 || 847.06 || Augmented Fifth/ | || 13 || 917.65 || Major Sixth/Sub Seventh ||= major 6th ||= M6 ||= A ||= [[17_10|17/10]], [[22_13|22/13]], 128/75, [[12_7|12/7]] || Huxley || | ||
Neutral Sixth/ | || 14 || 988.235 || Minor Seventh/Super Sixth ||= minor 7th ||= m7 ||= Bb ||= [[16_9|16/9]], 44/25, 7/4, 25/14 || Machine || | ||
Diminished Seventh ||= mid 6th ||= ~6 ||= Av ||= [[13_8|13/8]], 18/11 || Maqamic/hemif || | || 15 || 1058.82 || Augmented Sixth/Neutral Seventh/Diminished Octave ||= mid 7th ||= ~7 ||= Bv ||= [[11_6|11/6]], 24/13, [[13_7|13/7]] || Bleu || | ||
|| 13 || 917.65 || Major Sixth/ | || 16 || 1129.41 || Major Seventh/Sub Octave ||= major 7th ||= M7 ||= B ||= 25/13, 48/25, 64/33 || || | ||
Sub Seventh ||= major 6th ||= M6 ||= A ||= [[17_10|17/10]], [[22_13|22/13]], 128/75, [[12_7|12/7]] || Huxley || | |||
|| 14 || 988.235 || Minor Seventh/ | |||
Super Sixth ||= minor 7th ||= m7 ||= Bb ||= [[16_9|16/9]], 44/25, 7/4, 25/14 || Machine || | |||
|| 15 || 1058.82 || Augmented Sixth/ | |||
Neutral Seventh/ | |||
Diminished Octave ||= mid 7th ||= ~7 ||= Bv ||= [[11_6|11/6]], 24/13, [[13_7|13/7]] || Bleu || | |||
|| 16 || 1129.41 || Major Seventh/ | |||
Sub Octave ||= major 7th ||= M7 ||= B ||= 25/13, 48/25, 64/33 || || | |||
|| 17 || 1200 || Perfect Octave ||= octave ||= P8 ||= C ||= [[2_1|2/1]] || || | || 17 || 1200 || Perfect Octave ||= octave ||= P8 ||= C ||= [[2_1|2/1]] || || | ||
Combining ups and downs notation with [[Kite's color notation|color notation]], qualities can be loosely associated with colors: | Combining ups and downs notation with [[Kite's color notation|color notation]], qualities can be loosely associated with colors: | ||
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<th>Cents<br /> | <th>Cents<br /> | ||
</th> | </th> | ||
<th>Names | <th>Names ofIntervals<br /> | ||
</th> | </th> | ||
<th colspan="3"><a class="wiki_link" href="/Ups%20and%20Downs%20Notation">ups and downs </a><a class="wiki_link" href="/Ups%20and%20Downs%20Notation">notation</a><br /> | <th colspan="3"><a class="wiki_link" href="/Ups%20and%20Downs%20Notation">ups and downs </a><a class="wiki_link" href="/Ups%20and%20Downs%20Notation">notation</a><br /> | ||
</th> | </th> | ||
<th> | <th>ApproximateRatios*<br /> | ||
</th> | </th> | ||
<th>Temperament(s) | <th>Temperament(s)generated<br /> | ||
generated<br /> | |||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 297: | Line 272: | ||
<td>70.59<br /> | <td>70.59<br /> | ||
</td> | </td> | ||
<td>Super Unison/ | <td>Super Unison/Minor Second<br /> | ||
Minor Second<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">minor 2nd<br /> | <td style="text-align: center;">minor 2nd<br /> | ||
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<td>141.18<br /> | <td>141.18<br /> | ||
</td> | </td> | ||
<td>Augmented Unison/ | <td>Augmented Unison/Neutral Second<br /> | ||
Neutral Second<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">mid 2nd<br /> | <td style="text-align: center;">mid 2nd<br /> | ||
| Line 335: | Line 308: | ||
<td>211.765<br /> | <td>211.765<br /> | ||
</td> | </td> | ||
<td>Major Second/ | <td>Major Second/Sub Third<br /> | ||
Sub Third<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">major 2nd<br /> | <td style="text-align: center;">major 2nd<br /> | ||
| Line 354: | Line 326: | ||
<td>282.35<br /> | <td>282.35<br /> | ||
</td> | </td> | ||
<td>Minor Third/ | <td>Minor Third/Super Second<br /> | ||
Super Second<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">minor 3rd<br /> | <td style="text-align: center;">minor 3rd<br /> | ||
| Line 373: | Line 344: | ||
<td>352.94<br /> | <td>352.94<br /> | ||
</td> | </td> | ||
<td>Augmented Second/ | <td>Augmented Second/Neutral Third/Diminished Fourth<br /> | ||
Neutral Third/ | |||
Diminished Fourth<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">mid 3rd<br /> | <td style="text-align: center;">mid 3rd<br /> | ||
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<td>423.53<br /> | <td>423.53<br /> | ||
</td> | </td> | ||
<td>Major Third/ | <td>Major Third/Sub Fourth<br /> | ||
Sub Fourth<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">major 3rd<br /> | <td style="text-align: center;">major 3rd<br /> | ||
| Line 430: | Line 398: | ||
<td>564.71<br /> | <td>564.71<br /> | ||
</td> | </td> | ||
<td>Super | <td>Super FourthDiminished Fifth<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">up 4th, | <td style="text-align: center;">up 4th,diminished 5th<br /> | ||
diminished 5th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">^4, d5<br /> | <td style="text-align: center;">^4, d5<br /> | ||
| Line 450: | Line 416: | ||
<td>635.29<br /> | <td>635.29<br /> | ||
</td> | </td> | ||
<td>Augmented Fourth/ | <td>Augmented Fourth/Sub Fifth<br /> | ||
Sub Fifth<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">augmented 4th, | <td style="text-align: center;">augmented 4th,down 5th<br /> | ||
down 5th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">A4, v5<br /> | <td style="text-align: center;">A4, v5<br /> | ||
| Line 488: | Line 452: | ||
<td>776.47<br /> | <td>776.47<br /> | ||
</td> | </td> | ||
<td>Super Fifth/ | <td>Super Fifth/Minor Sixth<br /> | ||
Minor Sixth<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">minor 6th<br /> | <td style="text-align: center;">minor 6th<br /> | ||
| Line 507: | Line 470: | ||
<td>847.06<br /> | <td>847.06<br /> | ||
</td> | </td> | ||
<td>Augmented Fifth/ | <td>Augmented Fifth/Neutral Sixth/Diminished Seventh<br /> | ||
Neutral Sixth/ | |||
Diminished Seventh<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">mid 6th<br /> | <td style="text-align: center;">mid 6th<br /> | ||
| Line 527: | Line 488: | ||
<td>917.65<br /> | <td>917.65<br /> | ||
</td> | </td> | ||
<td>Major Sixth/ | <td>Major Sixth/Sub Seventh<br /> | ||
Sub Seventh<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">major 6th<br /> | <td style="text-align: center;">major 6th<br /> | ||
| Line 546: | Line 506: | ||
<td>988.235<br /> | <td>988.235<br /> | ||
</td> | </td> | ||
<td>Minor Seventh/ | <td>Minor Seventh/Super Sixth<br /> | ||
Super Sixth<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">minor 7th<br /> | <td style="text-align: center;">minor 7th<br /> | ||
| Line 565: | Line 524: | ||
<td>1058.82<br /> | <td>1058.82<br /> | ||
</td> | </td> | ||
<td>Augmented Sixth/ | <td>Augmented Sixth/Neutral Seventh/Diminished Octave<br /> | ||
Neutral Seventh/ | |||
Diminished Octave<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">mid 7th<br /> | <td style="text-align: center;">mid 7th<br /> | ||
| Line 585: | Line 542: | ||
<td>1129.41<br /> | <td>1129.41<br /> | ||
</td> | </td> | ||
<td>Major Seventh/ | <td>Major Seventh/Sub Octave<br /> | ||
Sub Octave<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">major 7th<br /> | <td style="text-align: center;">major 7th<br /> | ||