Meantone intervals
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author keenanpepper and made on 2011-10-31 19:40:52 UTC.
- The original revision id was 270455766.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
||~ Name ||~ Size* ||~ Ratios || ||||||~ Unisons || || Perfect unison (P1) || 0 || 1/1 || || Augmented unison (A1) || 75.5 || 25/24 || ||||||~ Seconds || || Diminished second (d2) || 42.0 || 36/35 || || Minor second (m2) || 117.5 || 16/15~15/14 || || Major second (M2) || 193.0 || 10/9~9/8 || || Augmented second (A2) || 268.5 || 7/6 || ||||||~ Thirds || || Diminished third (d3) || 235.0 || 8/7 || || Minor third (m3) || 310.5 || 6/5 || || Major third (M3) || 386.0 || 5/4 || || Augmented third (A3) || 461.5 || 21/16 || ||||||~ Fourths || || Diminished fourth (d4) || 428.0 || 9/7 || || Perfect fourth (P4) || 503.5 || 4/3 || || Augmented fourth (A4) || 579.0 || 7/6 || || Double augmented fourth (AA4) || 654.5 || Close to 16/11 || ||||||~ Fifths || || Double diminished fifth (dd5) || 545.5 || Close to 11/8 || || Diminished fifth (d5) || 621.0 || 10/7 || || Perfect fifth (P5) || 696.5 || 3/2 || || Augmented fifth (A5) || 772.0 || 14/9 || ||||||~ Sixths || || Diminished sixth (d6) || 738.5 || 32/21 || || Minor sixth (m6) || 814.0 || 8/5 || || Major sixth (M6) || 889.5 || 5/3 || || Augmented sixth (A6) || 965.0 || 7/4 || ||||||~ Sevenths || || Diminished seventh (d7) || 931.5 || 12/7 || || Minor seventh (m7) || 1007.0 || 16/9~9/5 || || Major seventh (M7) || 1082.5 || 15/8 || || Augmented seventh (A7) || 1158.0 || 35/18 || ||||||~ Octaves || || Diminished octave (d8) || 1124.5 || 48/25 || || Perfect octave (P8) || 1200.0 || 2/1 || || Augmented octave (A8) || 1275.5 || 25/12 ||
Original HTML content:
<html><head><title>Meantone intervals</title></head><body>
<table class="wiki_table">
<tr>
<th>Name<br />
</th>
<th>Size*<br />
</th>
<th>Ratios<br />
</th>
</tr>
<tr>
<th colspan="3">Unisons<br />
</th>
</tr>
<tr>
<td>Perfect unison (P1)<br />
</td>
<td>0<br />
</td>
<td>1/1<br />
</td>
</tr>
<tr>
<td>Augmented unison (A1)<br />
</td>
<td>75.5<br />
</td>
<td>25/24<br />
</td>
</tr>
<tr>
<th colspan="3">Seconds<br />
</th>
</tr>
<tr>
<td>Diminished second (d2)<br />
</td>
<td>42.0<br />
</td>
<td>36/35<br />
</td>
</tr>
<tr>
<td>Minor second (m2)<br />
</td>
<td>117.5<br />
</td>
<td>16/15~15/14<br />
</td>
</tr>
<tr>
<td>Major second (M2)<br />
</td>
<td>193.0<br />
</td>
<td>10/9~9/8<br />
</td>
</tr>
<tr>
<td>Augmented second (A2)<br />
</td>
<td>268.5<br />
</td>
<td>7/6<br />
</td>
</tr>
<tr>
<th colspan="3">Thirds<br />
</th>
</tr>
<tr>
<td>Diminished third (d3)<br />
</td>
<td>235.0<br />
</td>
<td>8/7<br />
</td>
</tr>
<tr>
<td>Minor third (m3)<br />
</td>
<td>310.5<br />
</td>
<td>6/5<br />
</td>
</tr>
<tr>
<td>Major third (M3)<br />
</td>
<td>386.0<br />
</td>
<td>5/4<br />
</td>
</tr>
<tr>
<td>Augmented third (A3)<br />
</td>
<td>461.5<br />
</td>
<td>21/16<br />
</td>
</tr>
<tr>
<th colspan="3">Fourths<br />
</th>
</tr>
<tr>
<td>Diminished fourth (d4)<br />
</td>
<td>428.0<br />
</td>
<td>9/7<br />
</td>
</tr>
<tr>
<td>Perfect fourth (P4)<br />
</td>
<td>503.5<br />
</td>
<td>4/3<br />
</td>
</tr>
<tr>
<td>Augmented fourth (A4)<br />
</td>
<td>579.0<br />
</td>
<td>7/6<br />
</td>
</tr>
<tr>
<td>Double augmented fourth (AA4)<br />
</td>
<td>654.5<br />
</td>
<td>Close to 16/11<br />
</td>
</tr>
<tr>
<th colspan="3">Fifths<br />
</th>
</tr>
<tr>
<td>Double diminished fifth (dd5)<br />
</td>
<td>545.5<br />
</td>
<td>Close to 11/8<br />
</td>
</tr>
<tr>
<td>Diminished fifth (d5)<br />
</td>
<td>621.0<br />
</td>
<td>10/7<br />
</td>
</tr>
<tr>
<td>Perfect fifth (P5)<br />
</td>
<td>696.5<br />
</td>
<td>3/2<br />
</td>
</tr>
<tr>
<td>Augmented fifth (A5)<br />
</td>
<td>772.0<br />
</td>
<td>14/9<br />
</td>
</tr>
<tr>
<th colspan="3">Sixths<br />
</th>
</tr>
<tr>
<td>Diminished sixth (d6)<br />
</td>
<td>738.5<br />
</td>
<td>32/21<br />
</td>
</tr>
<tr>
<td>Minor sixth (m6)<br />
</td>
<td>814.0<br />
</td>
<td>8/5<br />
</td>
</tr>
<tr>
<td>Major sixth (M6)<br />
</td>
<td>889.5<br />
</td>
<td>5/3<br />
</td>
</tr>
<tr>
<td>Augmented sixth (A6)<br />
</td>
<td>965.0<br />
</td>
<td>7/4<br />
</td>
</tr>
<tr>
<th colspan="3">Sevenths<br />
</th>
</tr>
<tr>
<td>Diminished seventh (d7)<br />
</td>
<td>931.5<br />
</td>
<td>12/7<br />
</td>
</tr>
<tr>
<td>Minor seventh (m7)<br />
</td>
<td>1007.0<br />
</td>
<td>16/9~9/5<br />
</td>
</tr>
<tr>
<td>Major seventh (M7)<br />
</td>
<td>1082.5<br />
</td>
<td>15/8<br />
</td>
</tr>
<tr>
<td>Augmented seventh (A7)<br />
</td>
<td>1158.0<br />
</td>
<td>35/18<br />
</td>
</tr>
<tr>
<th colspan="3">Octaves<br />
</th>
</tr>
<tr>
<td>Diminished octave (d8)<br />
</td>
<td>1124.5<br />
</td>
<td>48/25<br />
</td>
</tr>
<tr>
<td>Perfect octave (P8)<br />
</td>
<td>1200.0<br />
</td>
<td>2/1<br />
</td>
</tr>
<tr>
<td>Augmented octave (A8)<br />
</td>
<td>1275.5<br />
</td>
<td>25/12<br />
</td>
</tr>
</table>
</body></html>