Pentave Reduced Harmonics
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2012-08-13 17:29:50 UTC.
- The original revision id was 357615896.
- 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:
||= 1/1 ||< 0.000 unison, perfect prime || ||= 26/25 ||< 67.900 tridecimal 1/3-tone || ||= 27/25 ||< 133.238 large limma, BP small semitone || ||= 28/25 ||< 196.198 middle major second || ||= 29/25 ||< 256.950 || ||= 6/5 ||< 315.641 minor third || ||= 31/25 ||< 372.408 || ||= 32/25 ||< 427.373 classic diminished fourth || ||= 33/25 ||< 480.646 2 pentatones || ||= 34/25 ||< 532.328 || ||= 7/5 ||< 582.512 septimal or Huygens' tritone, BP fourth || ||= 36/25 ||< 631.283 classic diminished fifth || ||= 37/25 ||< 678.717 pentave wolf fifth || ||= 38/25 ||< 724.886 || ||= 39/25 ||< 769.855 || ||= 8/5 ||< 813.686 minor sixth || ||= 41/25 ||< 856.435 || ||= 42/25 ||< 898.153 quasi-tempered major sixth || ||= 43/25 ||< 938.890 || ||= 44/25 ||< 978.691 || ||= 9/5 ||< 1017.596 just minor seventh, BP seventh || ||= 46/25 ||< 1055.647 || ||= 47/25 ||< 1092.897 || ||= 48/25 ||< 1129.328 classic chromatic major 7th || ||= 49/25 ||< 1165.024 || ||= 2/1 ||< 1200.000 octave || ||= 51/25 ||< 1234.283 || ||= 52/25 ||< 1267.900 tridecimal 1/3-tone +1 octave || ||= 53/25 ||< 1300.877 || ||= 54/25 ||< 1333.238 large limma, BP small semitone +1 octave || ||= 11/5 ||< 1365.004 neutral ninth || ||= 56/25 ||< 1396.198 middle major ninth || ||= 57/25 ||< 1426.841 || ||= 58/25 ||< 1456.950 || ||= 59/25 ||< 1486.544 || ||= 12/5 ||< 1515.641 minor 10th || ||= 61/25 ||< 1544.277 || ||= 62/25 ||< 1572.408 || ||= 63/25 ||< 1600.108 || ||= 64/25 ||< 1627.373 classic diminished 11th || ||= 13/5 ||< 1654.214 tridecimal semi-diminished 11th || ||= 66/25 ||< 1680.646 octave +2 pentatones || ||= 67/25 ||< 1706.680 flattone perfect 11th || ||= 68/25 ||< 1732.328 || ||= 69/25 ||< 1757.602 || ||= 14/5 ||< 1782.512 septimal or Huygens' tritone, BP fourth +1 octave || ||= 71/25 ||< 1807.069 || ||= 72/25 ||< 1831.283 classic diminished 12th || ||= 73/25 ||< 1855.162 || ||= 74/25 ||< 1878.717 pentave wolf 12th || ||= 3/1 ||< 1901.955 perfect 12th || ||= 76/25 ||< 1924.886 || ||= 77/25 ||< 1947.515 || ||= 78/25 ||< 1969.855 || ||= 79/25 ||< 1991.909 || ||= 16/5 ||< 2013.686 minor 13th || ||= 81/25 ||< 2035.192 2.9/5 acute minor 13th || ||= 82/25 ||< 2056.435 || ||= 83/25 ||< 2077.420 || ||= 84/25 ||< 2098.153 quasi-tempered major 13th || ||= 17/5 ||< 2118.642 septendecimal diminished 14th || ||= 86/25 ||< 2138.890 || ||= 87/25 ||< 2158.905 || ||= 88/25 ||< 2178.691 || ||= 89/25 ||< 2198.253 || ||= 18/5 ||< 2217.596 minor 14th || ||= 91/25 ||< 2236.726 5.7.13 supraminor 14th || ||= 92/25 ||< 2255.647 || ||= 93/25 ||< 2274.363 || ||= 94/25 ||< 2292.897 || ||= 19/5 ||< 2311.199 undevicesimal major 14th || ||= 96/25 ||< 2329.328 classic chromatic major 14th || ||= 97/25 ||< 2347.268 || ||= 98/25 ||< 2356.024 || ||= 99/25 ||< 2382.591 || ||= 4/1 ||< 2400.000 2 octaves || ||= 101/25 ||< 2417.226 || ||= 102/25 ||< 2434.283 || ||= 103/25 ||< 2451.173 || ||= 104/25 ||< 2467.900 1/3-tone +2 octaves || ||= 21/5 ||< 2484.467 minor semitone +2 octaves || ||= 106/25 ||< 2500.867 || ||= 107/25 ||< 2517.133 || ||= 108/25 ||< 2533.238 large limma, BP small semitone +2 octaves || ||= 109/25 ||< 2549.194 || ||= 22/5 ||< 2565.004 4/5-tone, Ptolemy's second +2 octaves, neutral 16th || ||= 111/25 || 2580.672 || ||= 112/25 || 1396.198 middle major 16th || ||= 113/25 || 2611.587 || ||= 114/25 || 2626.841 || ||= 23/5 || 2641.961 || ||= 116/25 || 2656.960 || ||= 117/25 || 2671.810 tridecimal orwell subminor 17th || ||= 118/25 || 2686.544 || ||= 119/25 || 2701.144 || ||= 24/5 || 2715.641 minor 17th || ||= 121/25 || 2730.008 || ||= 122/25 || 2744.277 || ||= 123/25 || 2758.340 || ||= 124/25 || 2772.408 || ||= 5/1 || 2786.314 pentave || .
Original HTML content:
<html><head><title>Pentave Reduced Harmonics</title></head><body>
<table class="wiki_table">
<tr>
<td style="text-align: center;">1/1<br />
</td>
<td style="text-align: left;">0.000 unison, perfect prime<br />
</td>
</tr>
<tr>
<td style="text-align: center;">26/25<br />
</td>
<td style="text-align: left;">67.900 tridecimal 1/3-tone<br />
</td>
</tr>
<tr>
<td style="text-align: center;">27/25<br />
</td>
<td style="text-align: left;">133.238 large limma, BP small semitone<br />
</td>
</tr>
<tr>
<td style="text-align: center;">28/25<br />
</td>
<td style="text-align: left;">196.198 middle major second<br />
</td>
</tr>
<tr>
<td style="text-align: center;">29/25<br />
</td>
<td style="text-align: left;">256.950<br />
</td>
</tr>
<tr>
<td style="text-align: center;">6/5<br />
</td>
<td style="text-align: left;">315.641 minor third<br />
</td>
</tr>
<tr>
<td style="text-align: center;">31/25<br />
</td>
<td style="text-align: left;">372.408<br />
</td>
</tr>
<tr>
<td style="text-align: center;">32/25<br />
</td>
<td style="text-align: left;">427.373 classic diminished fourth<br />
</td>
</tr>
<tr>
<td style="text-align: center;">33/25<br />
</td>
<td style="text-align: left;">480.646 2 pentatones<br />
</td>
</tr>
<tr>
<td style="text-align: center;">34/25<br />
</td>
<td style="text-align: left;">532.328<br />
</td>
</tr>
<tr>
<td style="text-align: center;">7/5<br />
</td>
<td style="text-align: left;">582.512 septimal or Huygens' tritone, BP fourth<br />
</td>
</tr>
<tr>
<td style="text-align: center;">36/25<br />
</td>
<td style="text-align: left;">631.283 classic diminished fifth<br />
</td>
</tr>
<tr>
<td style="text-align: center;">37/25<br />
</td>
<td style="text-align: left;">678.717 pentave wolf fifth<br />
</td>
</tr>
<tr>
<td style="text-align: center;">38/25<br />
</td>
<td style="text-align: left;">724.886<br />
</td>
</tr>
<tr>
<td style="text-align: center;">39/25<br />
</td>
<td style="text-align: left;">769.855<br />
</td>
</tr>
<tr>
<td style="text-align: center;">8/5<br />
</td>
<td style="text-align: left;">813.686 minor sixth<br />
</td>
</tr>
<tr>
<td style="text-align: center;">41/25<br />
</td>
<td style="text-align: left;">856.435<br />
</td>
</tr>
<tr>
<td style="text-align: center;">42/25<br />
</td>
<td style="text-align: left;">898.153 quasi-tempered major sixth<br />
</td>
</tr>
<tr>
<td style="text-align: center;">43/25<br />
</td>
<td style="text-align: left;">938.890<br />
</td>
</tr>
<tr>
<td style="text-align: center;">44/25<br />
</td>
<td style="text-align: left;">978.691<br />
</td>
</tr>
<tr>
<td style="text-align: center;">9/5<br />
</td>
<td style="text-align: left;">1017.596 just minor seventh, BP seventh<br />
</td>
</tr>
<tr>
<td style="text-align: center;">46/25<br />
</td>
<td style="text-align: left;">1055.647<br />
</td>
</tr>
<tr>
<td style="text-align: center;">47/25<br />
</td>
<td style="text-align: left;">1092.897<br />
</td>
</tr>
<tr>
<td style="text-align: center;">48/25<br />
</td>
<td style="text-align: left;">1129.328 classic chromatic major 7th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">49/25<br />
</td>
<td style="text-align: left;">1165.024<br />
</td>
</tr>
<tr>
<td style="text-align: center;">2/1<br />
</td>
<td style="text-align: left;">1200.000 octave<br />
</td>
</tr>
<tr>
<td style="text-align: center;">51/25<br />
</td>
<td style="text-align: left;">1234.283<br />
</td>
</tr>
<tr>
<td style="text-align: center;">52/25<br />
</td>
<td style="text-align: left;">1267.900 tridecimal 1/3-tone +1 octave<br />
</td>
</tr>
<tr>
<td style="text-align: center;">53/25<br />
</td>
<td style="text-align: left;">1300.877<br />
</td>
</tr>
<tr>
<td style="text-align: center;">54/25<br />
</td>
<td style="text-align: left;">1333.238 large limma, BP small semitone +1 octave<br />
</td>
</tr>
<tr>
<td style="text-align: center;">11/5<br />
</td>
<td style="text-align: left;">1365.004 neutral ninth<br />
</td>
</tr>
<tr>
<td style="text-align: center;">56/25<br />
</td>
<td style="text-align: left;">1396.198 middle major ninth<br />
</td>
</tr>
<tr>
<td style="text-align: center;">57/25<br />
</td>
<td style="text-align: left;">1426.841<br />
</td>
</tr>
<tr>
<td style="text-align: center;">58/25<br />
</td>
<td style="text-align: left;">1456.950<br />
</td>
</tr>
<tr>
<td style="text-align: center;">59/25<br />
</td>
<td style="text-align: left;">1486.544<br />
</td>
</tr>
<tr>
<td style="text-align: center;">12/5<br />
</td>
<td style="text-align: left;">1515.641 minor 10th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">61/25<br />
</td>
<td style="text-align: left;">1544.277<br />
</td>
</tr>
<tr>
<td style="text-align: center;">62/25<br />
</td>
<td style="text-align: left;">1572.408<br />
</td>
</tr>
<tr>
<td style="text-align: center;">63/25<br />
</td>
<td style="text-align: left;">1600.108<br />
</td>
</tr>
<tr>
<td style="text-align: center;">64/25<br />
</td>
<td style="text-align: left;">1627.373 classic diminished 11th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">13/5<br />
</td>
<td style="text-align: left;">1654.214 tridecimal semi-diminished 11th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">66/25<br />
</td>
<td style="text-align: left;">1680.646 octave +2 pentatones<br />
</td>
</tr>
<tr>
<td style="text-align: center;">67/25<br />
</td>
<td style="text-align: left;">1706.680 flattone perfect 11th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">68/25<br />
</td>
<td style="text-align: left;">1732.328<br />
</td>
</tr>
<tr>
<td style="text-align: center;">69/25<br />
</td>
<td style="text-align: left;">1757.602<br />
</td>
</tr>
<tr>
<td style="text-align: center;">14/5<br />
</td>
<td style="text-align: left;">1782.512 septimal or Huygens' tritone, BP fourth +1 octave<br />
</td>
</tr>
<tr>
<td style="text-align: center;">71/25<br />
</td>
<td style="text-align: left;">1807.069<br />
</td>
</tr>
<tr>
<td style="text-align: center;">72/25<br />
</td>
<td style="text-align: left;">1831.283 classic diminished 12th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">73/25<br />
</td>
<td style="text-align: left;">1855.162<br />
</td>
</tr>
<tr>
<td style="text-align: center;">74/25<br />
</td>
<td style="text-align: left;">1878.717 pentave wolf 12th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">3/1<br />
</td>
<td style="text-align: left;">1901.955 perfect 12th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">76/25<br />
</td>
<td style="text-align: left;">1924.886<br />
</td>
</tr>
<tr>
<td style="text-align: center;">77/25<br />
</td>
<td style="text-align: left;">1947.515<br />
</td>
</tr>
<tr>
<td style="text-align: center;">78/25<br />
</td>
<td style="text-align: left;">1969.855<br />
</td>
</tr>
<tr>
<td style="text-align: center;">79/25<br />
</td>
<td style="text-align: left;">1991.909<br />
</td>
</tr>
<tr>
<td style="text-align: center;">16/5<br />
</td>
<td style="text-align: left;">2013.686 minor 13th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">81/25<br />
</td>
<td style="text-align: left;">2035.192 2.9/5 acute minor 13th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">82/25<br />
</td>
<td style="text-align: left;">2056.435<br />
</td>
</tr>
<tr>
<td style="text-align: center;">83/25<br />
</td>
<td style="text-align: left;">2077.420<br />
</td>
</tr>
<tr>
<td style="text-align: center;">84/25<br />
</td>
<td style="text-align: left;">2098.153 quasi-tempered major 13th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">17/5<br />
</td>
<td style="text-align: left;">2118.642 septendecimal diminished 14th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">86/25<br />
</td>
<td style="text-align: left;">2138.890<br />
</td>
</tr>
<tr>
<td style="text-align: center;">87/25<br />
</td>
<td style="text-align: left;">2158.905<br />
</td>
</tr>
<tr>
<td style="text-align: center;">88/25<br />
</td>
<td style="text-align: left;">2178.691<br />
</td>
</tr>
<tr>
<td style="text-align: center;">89/25<br />
</td>
<td style="text-align: left;">2198.253<br />
</td>
</tr>
<tr>
<td style="text-align: center;">18/5<br />
</td>
<td style="text-align: left;">2217.596 minor 14th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">91/25<br />
</td>
<td style="text-align: left;">2236.726 5.7.13 supraminor 14th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">92/25<br />
</td>
<td style="text-align: left;">2255.647<br />
</td>
</tr>
<tr>
<td style="text-align: center;">93/25<br />
</td>
<td style="text-align: left;">2274.363<br />
</td>
</tr>
<tr>
<td style="text-align: center;">94/25<br />
</td>
<td style="text-align: left;">2292.897<br />
</td>
</tr>
<tr>
<td style="text-align: center;">19/5<br />
</td>
<td style="text-align: left;">2311.199 undevicesimal major 14th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">96/25<br />
</td>
<td style="text-align: left;">2329.328 classic chromatic major 14th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">97/25<br />
</td>
<td style="text-align: left;">2347.268<br />
</td>
</tr>
<tr>
<td style="text-align: center;">98/25<br />
</td>
<td style="text-align: left;">2356.024<br />
</td>
</tr>
<tr>
<td style="text-align: center;">99/25<br />
</td>
<td style="text-align: left;">2382.591<br />
</td>
</tr>
<tr>
<td style="text-align: center;">4/1<br />
</td>
<td style="text-align: left;">2400.000 2 octaves<br />
</td>
</tr>
<tr>
<td style="text-align: center;">101/25<br />
</td>
<td style="text-align: left;">2417.226<br />
</td>
</tr>
<tr>
<td style="text-align: center;">102/25<br />
</td>
<td style="text-align: left;">2434.283<br />
</td>
</tr>
<tr>
<td style="text-align: center;">103/25<br />
</td>
<td style="text-align: left;">2451.173<br />
</td>
</tr>
<tr>
<td style="text-align: center;">104/25<br />
</td>
<td style="text-align: left;">2467.900 1/3-tone +2 octaves<br />
</td>
</tr>
<tr>
<td style="text-align: center;">21/5<br />
</td>
<td style="text-align: left;">2484.467 minor semitone +2 octaves<br />
</td>
</tr>
<tr>
<td style="text-align: center;">106/25<br />
</td>
<td style="text-align: left;">2500.867<br />
</td>
</tr>
<tr>
<td style="text-align: center;">107/25<br />
</td>
<td style="text-align: left;">2517.133<br />
</td>
</tr>
<tr>
<td style="text-align: center;">108/25<br />
</td>
<td style="text-align: left;">2533.238 large limma, BP small semitone +2 octaves<br />
</td>
</tr>
<tr>
<td style="text-align: center;">109/25<br />
</td>
<td style="text-align: left;">2549.194<br />
</td>
</tr>
<tr>
<td style="text-align: center;">22/5<br />
</td>
<td style="text-align: left;">2565.004 4/5-tone, Ptolemy's second +2 octaves, neutral 16th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">111/25<br />
</td>
<td>2580.672<br />
</td>
</tr>
<tr>
<td style="text-align: center;">112/25<br />
</td>
<td>1396.198 middle major 16th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">113/25<br />
</td>
<td>2611.587<br />
</td>
</tr>
<tr>
<td style="text-align: center;">114/25<br />
</td>
<td>2626.841<br />
</td>
</tr>
<tr>
<td style="text-align: center;">23/5<br />
</td>
<td>2641.961<br />
</td>
</tr>
<tr>
<td style="text-align: center;">116/25<br />
</td>
<td>2656.960<br />
</td>
</tr>
<tr>
<td style="text-align: center;">117/25<br />
</td>
<td>2671.810 tridecimal orwell subminor 17th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">118/25<br />
</td>
<td>2686.544<br />
</td>
</tr>
<tr>
<td style="text-align: center;">119/25<br />
</td>
<td>2701.144<br />
</td>
</tr>
<tr>
<td style="text-align: center;">24/5<br />
</td>
<td>2715.641 minor 17th<br />
</td>
</tr>
<tr>
<td style="text-align: center;">121/25<br />
</td>
<td>2730.008<br />
</td>
</tr>
<tr>
<td style="text-align: center;">122/25<br />
</td>
<td>2744.277<br />
</td>
</tr>
<tr>
<td style="text-align: center;">123/25<br />
</td>
<td>2758.340<br />
</td>
</tr>
<tr>
<td style="text-align: center;">124/25<br />
</td>
<td>2772.408<br />
</td>
</tr>
<tr>
<td style="text-align: center;">5/1<br />
</td>
<td>2786.314 pentave<br />
</td>
</tr>
</table>
.</body></html>