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Pentave Reduced Harmonics: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{| class="wikitable"
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
|-
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-08-06 22:52:39 UTC</tt>.<br>
| style="text-align:center;" | 1/1
: The original revision id was <tt>356619764</tt>.<br>
| | 0.000 unison, perfect prime
: 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>
| style="text-align:center;" | 26/25
<h4>Original Wikitext content:</h4>
| | 67.900 tridecimal 1/3-tone
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">0:..........1/1..................0.000 unison, perfect prime
|-
1:.........26/25..............67.900 tridecimal 1/3-tone
| style="text-align:center;" | 27/25
2:.........27/25.............133.238 large limma, BP small semitone
| | 133.238 large limma, BP small semitone
3:.........28/25.............196.198 middle major second
|-
4:.........29/25.............256.950
| style="text-align:center;" | 28/25
5:..........6/5...............315.641 minor third
| | 196.198 middle major second
6:.........31/25.............372.408
|-
7:.........32/25.............427.373 classic diminished fourth
| style="text-align:center;" | 29/25
8:.........33/25.............480.646 2 pentatones
| | 256.950
9:.........34/25.............532.328
|-
10:..........7/5...............582.512 septimal or Huygens' tritone, BP fourth
| style="text-align:center;" | 6/5
11:.........36/25.............631.283 classic diminished fifth
| | 315.641 minor third
12:.........37/25.............678.717
|-
13:.........38/25.............724.886
| style="text-align:center;" | 31/25
14:.........39/25.............769.855
| | 372.408
15:...........8/5...............813.686 minor sixth
|-
16:.........41/25.............856.435
| style="text-align:center;" | 32/25
17:.........42/25.............898.153 quasi-tempered major sixth
| | 427.373 classic diminished fourth
18:.........43/25.............938.890
|-
19:.........44/25.............978.691
| style="text-align:center;" | 33/25
20:..........9/5..............1017.596 just minor seventh, BP seventh
| | 480.646 2 pentatones
21:.........46/25............1055.647
|-
22:.........47/25............1092.897
| style="text-align:center;" | 34/25
23:.........48/25............1129.328 classic chromatic major 7th
| | 532.328
24:.........49/25............1165.024
|-
25:..........2/1..............1200.000 octave
| style="text-align:center;" | 7/5
26:........51/25............1234.283
| | 582.512 septimal or Huygens' tritone, BP fourth
27:........52/25............1267.900 tridecimal 1/3-tone +1 octave
|-
28:........53/25............1300.877
| style="text-align:center;" | 36/25
29:........54/25............1333.238 large limma, BP small semitone +1 octave
| | 631.283 classic diminished fifth
30:.........11/5.............1365.004 neutral ninth
|-
31:.........56/25...........1396.198 middle major second +1 octave
| style="text-align:center;" | 37/25
32:.........57/25...........1426.841
| | 678.717 pentave wolf fifth
33:.........58/25...........1456.950
|-
34:.........59/25...........1486.544
| style="text-align:center;" | 38/25
35:.........12/5.............1515.641 minor 10th
| | 724.886
36:.........13/5.............1654.214 tridecimal semi-diminished fourth +1 octave
|-
37:.........14/5.............1782.512 septimal or Huygens' tritone, BP fourth +1 octave
| style="text-align:center;" | 39/25
38:..........3/1..............1901.955 perfect 12th
| | 769.855
39:.........16/5.............2013.686 minor 13th
|-
40:.........17/5,,,,,,,,,,,,,2118.642 septendecimal diminished seventh +1 octave
| style="text-align:center;" | 8/5
41:.........18/5.............2217.596 minor 14th
| | 813.686 minor sixth
42:.........19/5.............2311.199 undevicesimal major seventh +1 octave
|-
43:..........4/1.............2400.000 2 octaves
| style="text-align:center;" | 41/25
44:.........21/5............2484.467 minor semitone +2 octaves
| | 856.435
45:.........22/5.............2565.004 4/5-tone, Ptolemy's second +2 octaves
|-
46:.........23/5.............2641.961
| style="text-align:center;" | 42/25
47:.........24/5.............2715.641 minor 17th
| | 898.153 quasi-tempered major sixth
48:..........5/1..............2786.314 pentave</pre></div>
|-
<h4>Original HTML content:</h4>
| style="text-align:center;" | 43/25
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Pentave Reduced Harmonics&lt;/title&gt;&lt;/head&gt;&lt;body&gt;0:..........1/1..................0.000 unison, perfect prime&lt;br /&gt;
| | 938.890
1:.........26/25..............67.900 tridecimal 1/3-tone&lt;br /&gt;
|-
2:.........27/25.............133.238 large limma, BP small semitone&lt;br /&gt;
| style="text-align:center;" | 44/25
3:.........28/25.............196.198 middle major second&lt;br /&gt;
| | 978.691
4:.........29/25.............256.950&lt;br /&gt;
|-
5:..........6/5...............315.641 minor third&lt;br /&gt;
| style="text-align:center;" | 9/5
6:.........31/25.............372.408&lt;br /&gt;
| | 1017.596 just minor seventh, BP seventh
7:.........32/25.............427.373 classic diminished fourth&lt;br /&gt;
|-
8:.........33/25.............480.646 2 pentatones&lt;br /&gt;
| style="text-align:center;" | 46/25
9:.........34/25.............532.328&lt;br /&gt;
| | 1055.647
10:..........7/5...............582.512 septimal or Huygens' tritone, BP fourth&lt;br /&gt;
|-
11:.........36/25.............631.283 classic diminished fifth&lt;br /&gt;
| style="text-align:center;" | 47/25
12:.........37/25.............678.717&lt;br /&gt;
| | 1092.897
13:.........38/25.............724.886&lt;br /&gt;
|-
14:.........39/25.............769.855&lt;br /&gt;
| style="text-align:center;" | 48/25
15:...........8/5...............813.686 minor sixth&lt;br /&gt;
| | 1129.328 classic chromatic major 7th
16:.........41/25.............856.435&lt;br /&gt;
|-
17:.........42/25.............898.153 quasi-tempered major sixth&lt;br /&gt;
| style="text-align:center;" | 49/25
18:.........43/25.............938.890&lt;br /&gt;
| | 1165.024
19:.........44/25.............978.691 &lt;br /&gt;
|-
20:..........9/5..............1017.596 just minor seventh, BP seventh&lt;br /&gt;
| style="text-align:center;" | 2/1
21:.........46/25............1055.647&lt;br /&gt;
| | 1200.000 octave
22:.........47/25............1092.897&lt;br /&gt;
|-
23:.........48/25............1129.328 classic chromatic major 7th&lt;br /&gt;
| style="text-align:center;" | 51/25
24:.........49/25............1165.024 &lt;br /&gt;
| | 1234.283
25:..........2/1..............1200.000 octave&lt;br /&gt;
|-
26:........51/25............1234.283 &lt;br /&gt;
| style="text-align:center;" | 52/25
27:........52/25............1267.900 tridecimal 1/3-tone +1 octave&lt;br /&gt;
| | 1267.900 tridecimal 1/3-tone +1 octave
28:........53/25............1300.877&lt;br /&gt;
|-
29:........54/25............1333.238 large limma, BP small semitone +1 octave&lt;br /&gt;
| style="text-align:center;" | 53/25
30:.........11/5.............1365.004 neutral ninth&lt;br /&gt;
| | 1300.877
31:.........56/25...........1396.198 middle major second +1 octave&lt;br /&gt;
|-
32:.........57/25...........1426.841&lt;br /&gt;
| style="text-align:center;" | 54/25
33:.........58/25...........1456.950&lt;br /&gt;
| | 1333.238 large limma, BP small semitone +1 octave
34:.........59/25...........1486.544 &lt;br /&gt;
|-
35:.........12/5.............1515.641 minor 10th&lt;br /&gt;
| style="text-align:center;" | 11/5
36:.........13/5.............1654.214 tridecimal semi-diminished fourth +1 octave&lt;br /&gt;
| | 1365.004 neutral ninth
37:.........14/5.............1782.512 septimal or Huygens' tritone, BP fourth +1 octave&lt;br /&gt;
|-
38:..........3/1..............1901.955 perfect 12th&lt;br /&gt;
| style="text-align:center;" | 56/25
39:.........16/5.............2013.686 minor 13th&lt;br /&gt;
| | 1396.198 middle major ninth
40:.........17/5,,,,,,,,,,,,,2118.642 septendecimal diminished seventh +1 octave&lt;br /&gt;
|-
41:.........18/5.............2217.596 minor 14th&lt;br /&gt;
| style="text-align:center;" | 57/25
42:.........19/5.............2311.199 undevicesimal major seventh +1 octave&lt;br /&gt;
| | 1426.841
43:..........4/1.............2400.000 2 octaves&lt;br /&gt;
|-
44:.........21/5............2484.467 minor semitone +2 octaves&lt;br /&gt;
| style="text-align:center;" | 58/25
45:.........22/5.............2565.004 4/5-tone, Ptolemy's second +2 octaves&lt;br /&gt;
| | 1456.950
46:.........23/5.............2641.961&lt;br /&gt;
|-
47:.........24/5.............2715.641 minor 17th&lt;br /&gt;
| style="text-align:center;" | 59/25
48:..........5/1..............2786.314 pentave&lt;/body&gt;&lt;/html&gt;</pre></div>
| | 1486.544
|-
| style="text-align:center;" | 12/5
| | 1515.641 minor 10th
|-
| style="text-align:center;" | 61/25
| | 1544.277
|-
| style="text-align:center;" | 62/25
| | 1572.408
|-
| style="text-align:center;" | 63/25
| | 1600.108
|-
| style="text-align:center;" | 64/25
| | 1627.373 classic diminished 11th
|-
| style="text-align:center;" | 13/5
| | 1654.214 tridecimal semi-diminished 11th
|-
| style="text-align:center;" | 66/25
| | 1680.646 octave +2 pentatones
|-
| style="text-align:center;" | 67/25
| | 1706.680 flattone perfect 11th
|-
| style="text-align:center;" | 68/25
| | 1732.328
|-
| style="text-align:center;" | 69/25
| | 1757.602
|-
| style="text-align:center;" | 14/5
| | 1782.512 septimal or Huygens' tritone, BP fourth +1 octave
|-
| style="text-align:center;" | 71/25
| | 1807.069
|-
| style="text-align:center;" | 72/25
| | 1831.283 classic diminished 12th
|-
| style="text-align:center;" | 73/25
| | 1855.162
|-
| style="text-align:center;" | 74/25
| | 1878.717 pentave wolf 12th
|-
| style="text-align:center;" | 3/1
| | 1901.955 perfect 12th
|-
| style="text-align:center;" | 76/25
| | 1924.886
|-
| style="text-align:center;" | 77/25
| | 1947.515
|-
| style="text-align:center;" | 78/25
| | 1969.855
|-
| style="text-align:center;" | 79/25
| | 1991.909
|-
| style="text-align:center;" | 16/5
| | 2013.686 minor 13th
|-
| style="text-align:center;" | 81/25
| | 2035.192 2.9/5 acute minor 13th
|-
| style="text-align:center;" | 82/25
| | 2056.435
|-
| style="text-align:center;" | 83/25
| | 2077.420
|-
| style="text-align:center;" | 84/25
| | 2098.153 quasi-tempered major 13th
|-
| style="text-align:center;" | 17/5
| | 2118.642 septendecimal diminished 14th
|-
| style="text-align:center;" | 86/25
| | 2138.890
|-
| style="text-align:center;" | 87/25
| | 2158.905
|-
| style="text-align:center;" | 88/25
| | 2178.691
|-
| style="text-align:center;" | 89/25
| | 2198.253
|-
| style="text-align:center;" | 18/5
| | 2217.596 minor 14th
|-
| style="text-align:center;" | 91/25
| | 2236.726 5.7.13 supraminor 14th
|-
| style="text-align:center;" | 92/25
| | 2255.647
|-
| style="text-align:center;" | 93/25
| | 2274.363
|-
| style="text-align:center;" | 94/25
| | 2292.897
|-
| style="text-align:center;" | 19/5
| | 2311.199 undevicesimal major 14th
|-
| style="text-align:center;" | 96/25
| | 2329.328 classic chromatic major 14th
|-
| style="text-align:center;" | 97/25
| | 2347.268
|-
| style="text-align:center;" | 98/25
| | 2356.024
|-
| style="text-align:center;" | 99/25
| | 2382.591
|-
| style="text-align:center;" | 4/1
| | 2400.000 2 octaves
|-
| style="text-align:center;" | 101/25
| | 2417.226
|-
| style="text-align:center;" | 102/25
| | 2434.283
|-
| style="text-align:center;" | 103/25
| | 2451.173
|-
| style="text-align:center;" | 104/25
| | 2467.900 1/3-tone +2 octaves
|-
| style="text-align:center;" | 21/5
| | 2484.467 minor semitone +2 octaves
|-
| style="text-align:center;" | 106/25
| | 2500.867
|-
| style="text-align:center;" | 107/25
| | 2517.133
|-
| style="text-align:center;" | 108/25
| | 2533.238 large limma, BP small semitone +2 octaves
|-
| style="text-align:center;" | 109/25
| | 2549.194
|-
| style="text-align:center;" | 22/5
| | 2565.004 4/5-tone, Ptolemy's second +2 octaves, neutral 16th
|-
| style="text-align:center;" | 111/25
| | 2580.672
|-
| style="text-align:center;" | 112/25
| | 2596.198 middle major 16th
|-
| style="text-align:center;" | 113/25
| | 2611.587
|-
| style="text-align:center;" | 114/25
| | 2626.841
|-
| style="text-align:center;" | 23/5
| | 2641.961
|-
| style="text-align:center;" | 116/25
| | 2656.960
|-
| style="text-align:center;" | 117/25
| | 2671.810 tridecimal orwell subminor 17th
|-
| style="text-align:center;" | 118/25
| | 2686.544
|-
| style="text-align:center;" | 119/25
| | 2701.144
|-
| style="text-align:center;" | 24/5
| | 2715.641 minor 17th
|-
| style="text-align:center;" | 121/25
| | 2730.008
|-
| style="text-align:center;" | 122/25
| | 2744.277
|-
| style="text-align:center;" | 123/25
| | 2758.340
|-
| style="text-align:center;" | 124/25
| | 2772.408
|-
| style="text-align:center;" | 5/1
| | 2786.314 pentave
|}
 
== See also ==
* [[Pentave Reduced Subharmonics]]
* [[List of tritave reduced harmonics]]
* [[List of octave-reduced harmonics]]
 
[[Category:Lists of intervals]]
[[Category:5th harmonic]]
[[Category:Just intonation]]
Retrieved from "https://en.xen.wiki/w/Pentave_Reduced_Harmonics"