Pentave Reduced Harmonics - Revision history

BudjarnLambeth at 10:09, 4 December 2024

2024-12-04T10:09:30Z

← Older revision		Revision as of 10:09, 4 December 2024
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	== See also ==		== See also ==
	* [[Pentave Reduced Subharmonics]]		* [[Pentave Reduced Subharmonics]]
	* [[~~Tritave Reduced Harmonics~~]]		* [[List of tritave reduced harmonics]]
	* [[List of octave-reduced harmonics]]		* [[List of octave-reduced harmonics]]

BudjarnLambeth: Add see also to dead end page

2024-12-04T10:06:05Z

Add see also to dead end page

← Older revision		Revision as of 10:06, 4 December 2024
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	\| \| 2786.314 pentave		\| \| 2786.314 pentave
	\|}		\|}

			== See also ==
			* [[Pentave Reduced Subharmonics]]
			* [[Tritave Reduced Harmonics]]
			* [[List of octave-reduced harmonics]]

	[[Category:Lists of intervals]]		[[Category:Lists of intervals]]
	[[Category:5th harmonic]]		[[Category:5th harmonic]]
	[[Category:Just intonation]]		[[Category:Just intonation]]

Fredg999 category edits: Moving from Category:Interval collection to Category:Lists of intervals using Cat-a-lot

2023-04-13T22:04:38Z

Moving from Category:Interval collection to Category:Lists of intervals using Cat-a-lot

← Older revision		Revision as of 22:04, 13 April 2023
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	\|}		\|}

	[[Category:~~Interval collection~~]]		[[Category:Lists of intervals]]
	[[Category:5th harmonic]]		[[Category:5th harmonic]]
	[[Category:Just intonation]]		[[Category:Just intonation]]

Fredg999: Categories

2021-12-21T06:33:16Z

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>JosephRuhf: Imported revision 531059708 - Original comment:

2014-11-14T11:10:49Z

**Imported revision 531059708 - Original comment: **

← Older revision		Revision as of 11:10, 14 November 2014
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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:JosephRuhf\|JosephRuhf]] and made on <tt>~~2012~~-08-~~13 17~~:29:50 UTC</tt>.<br>		: This revision was by author [[User:JosephRuhf\|JosephRuhf]] and made on <tt>2014-11-14 11:10:49 UTC</tt>.<br>
	: The original revision id was <tt>~~357615896~~</tt>.<br>		: The original revision id was <tt>531059708</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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	\|\|= 22/5 \|\|< 2565.004 4/5-tone, Ptolemy's second +2 octaves, neutral 16th \|\|		\|\|= 22/5 \|\|< 2565.004 4/5-tone, Ptolemy's second +2 octaves, neutral 16th \|\|
	\|\|= 111/25 \|\| 2580.672 \|\|		\|\|= 111/25 \|\| 2580.672 \|\|
	\|\|= 112/25 \|\| ~~1396~~.198 middle major 16th \|\|		\|\|= 112/25 \|\| 2596.198 middle major 16th \|\|
	\|\|= 113/25 \|\| 2611.587 \|\|		\|\|= 113/25 \|\| 2611.587 \|\|
	\|\|= 114/25 \|\| 2626.841 \|\|		\|\|= 114/25 \|\| 2626.841 \|\|
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	<td style="text-align: center;">112/25<br />		<td style="text-align: center;">112/25<br />
	</td>		</td>
	<td>~~1396~~.198 middle major 16th<br />		<td>2596.198 middle major 16th<br />
	</td>		</td>
	</tr>		</tr>

Wikispaces>JosephRuhf: Imported revision 357615896 - Original comment:

2012-08-13T17:29:50Z

**Imported revision 357615896 - Original comment: **

← Older revision		Revision as of 17:29, 13 August 2012
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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:JosephRuhf\|JosephRuhf]] and made on <tt>2012-08-12 17:52:44 UTC</tt>.<br>		: This revision was by author [[User:JosephRuhf\|JosephRuhf]] and made on <tt>2012-08-13 17:29:50 UTC</tt>.<br>
	: The original revision id was <tt>~~357438004~~</tt>.<br>		: The original revision id was <tt>357615896</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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	\|\|= 102/25 \|\|< 2434.283 \|\|		\|\|= 102/25 \|\|< 2434.283 \|\|
	\|\|= 103/25 \|\|< 2451.173 \|\|		\|\|= 103/25 \|\|< 2451.173 \|\|
	\|\|= 104/25 \|\|< 2467.900 ~~tridecimal~~ 1/3-tone +2 octaves \|\|		\|\|= 104/25 \|\|< 2467.900 1/3-tone +2 octaves \|\|
	\|\|= 21/5 \|\|< 2484.467 minor semitone +2 octaves \|\|		\|\|= 21/5 \|\|< 2484.467 minor semitone +2 octaves \|\|
	\|\|= 106/25 \|\|< 2500.867 \|\|		\|\|= 106/25 \|\|< 2500.867 \|\|
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	\|\|= 23/5 \|\| 2641.961 \|\|		\|\|= 23/5 \|\| 2641.961 \|\|
	\|\|= 116/25 \|\| 2656.960 \|\|		\|\|= 116/25 \|\| 2656.960 \|\|
	\|\|= 117/25 \|\| 2671.810 \|\|		\|\|= 117/25 \|\| 2671.810 tridecimal orwell subminor 17th \|\|
	\|\|= 118/25 \|\| 2686.544 \|\|		\|\|= 118/25 \|\| 2686.544 \|\|
	\|\|= 119/25 \|\| 2701.144 \|\|		\|\|= 119/25 \|\| 2701.144 \|\|
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	<td style="text-align: center;">104/25<br />		<td style="text-align: center;">104/25<br />
	</td>		</td>
	<td style="text-align: left;">2467.900 ~~tridecimal~~ 1/3-tone +2 octaves<br />		<td style="text-align: left;">2467.900 1/3-tone +2 octaves<br />
	</td>		</td>
	</tr>		</tr>
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	<td style="text-align: center;">117/25<br />		<td style="text-align: center;">117/25<br />
	</td>		</td>
	<td>2671.810<br />		<td>2671.810 tridecimal orwell subminor 17th<br />
	</td>		</td>
	</tr>		</tr>

Wikispaces>JosephRuhf: Imported revision 357438004 - Original comment:

2012-08-12T17:52:44Z

**Imported revision 357438004 - Original comment: **

← Older revision		Revision as of 17:52, 12 August 2012
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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:JosephRuhf\|JosephRuhf]] and made on <tt>2012-08-12 17:51:51 UTC</tt>.<br>		: This revision was by author [[User:JosephRuhf\|JosephRuhf]] and made on <tt>2012-08-12 17:52:44 UTC</tt>.<br>
	: The original revision id was <tt>~~357437896~~</tt>.<br>		: The original revision id was <tt>357438004</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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	\|\|= 114/25 \|\| 2626.841 \|\|		\|\|= 114/25 \|\| 2626.841 \|\|
	\|\|= 23/5 \|\| 2641.961 \|\|		\|\|= 23/5 \|\| 2641.961 \|\|
	\|\| 116/25 \|\| 2656.960 \|\|		\|\|= 116/25 \|\| 2656.960 \|\|
	\|\| 117/25 \|\| 2671.810 \|\|		\|\|= 117/25 \|\| 2671.810 \|\|
	\|\| 118/25 \|\| 2686.544 \|\|		\|\|= 118/25 \|\| 2686.544 \|\|
	\|\| 119/25 \|\| 2701.144 \|\|		\|\|= 119/25 \|\| 2701.144 \|\|
	\|\| 24/5 \|\| 2715.641 minor 17th \|\|		\|\|= 24/5 \|\| 2715.641 minor 17th \|\|
	\|\| 121/25 \|\| 2730.008 \|\|		\|\|= 121/25 \|\| 2730.008 \|\|
	\|\| 122/25 \|\| 2744.277 \|\|		\|\|= 122/25 \|\| 2744.277 \|\|
	\|\| 123/25 \|\| 2758.340 \|\|		\|\|= 123/25 \|\| 2758.340 \|\|
	\|\| 124/25 \|\| 2772.408 \|\|		\|\|= 124/25 \|\| 2772.408 \|\|
	\|\| 5/1 \|\| 2786.314 pentave \|\|		\|\|= 5/1 \|\| 2786.314 pentave \|\|
	.</pre></div>		.</pre></div>
	<h4>Original HTML content:</h4>		<h4>Original HTML content:</h4>
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	</tr>		</tr>
	<tr>		<tr>
	<td>116/25<br />		<td style="text-align: center;">116/25<br />
	</td>		</td>
	<td>2656.960<br />		<td>2656.960<br />
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	</tr>		</tr>
	<tr>		<tr>
	<td>117/25<br />		<td style="text-align: center;">117/25<br />
	</td>		</td>
	<td>2671.810<br />		<td>2671.810<br />
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	</tr>		</tr>
	<tr>		<tr>
	<td>118/25<br />		<td style="text-align: center;">118/25<br />
	</td>		</td>
	<td>2686.544<br />		<td>2686.544<br />
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	</tr>		</tr>
	<tr>		<tr>
	<td>119/25<br />		<td style="text-align: center;">119/25<br />
	</td>		</td>
	<td>2701.144<br />		<td>2701.144<br />
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	</tr>		</tr>
	<tr>		<tr>
	<td>24/5<br />		<td style="text-align: center;">24/5<br />
	</td>		</td>
	<td>2715.641 minor 17th<br />		<td>2715.641 minor 17th<br />
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	</tr>		</tr>
	<tr>		<tr>
	<td>121/25<br />		<td style="text-align: center;">121/25<br />
	</td>		</td>
	<td>2730.008<br />		<td>2730.008<br />
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	</tr>		</tr>
	<tr>		<tr>
	<td>122/25<br />		<td style="text-align: center;">122/25<br />
	</td>		</td>
	<td>2744.277<br />		<td>2744.277<br />
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	</tr>		</tr>
	<tr>		<tr>
	<td>123/25<br />		<td style="text-align: center;">123/25<br />
	</td>		</td>
	<td>2758.340<br />		<td>2758.340<br />
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	</tr>		</tr>
	<tr>		<tr>
	<td>124/25<br />		<td style="text-align: center;">124/25<br />
	</td>		</td>
	<td>2772.408<br />		<td>2772.408<br />
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	</tr>		</tr>
	<tr>		<tr>
	<td>5/1<br />		<td style="text-align: center;">5/1<br />
	</td>		</td>
	<td>2786.314 pentave<br />		<td>2786.314 pentave<br />

Wikispaces>JosephRuhf: Imported revision 357437896 - Original comment:

2012-08-12T17:51:51Z

**Imported revision 357437896 - Original comment: **

Show changes

Wikispaces>JosephRuhf: Imported revision 356619764 - Original comment:

2012-08-06T22:52:39Z

**Imported revision 356619764 - Original comment: **

← Older revision		Revision as of 22:52, 6 August 2012
Line 1:		Line 1:
	<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:~~Kosmorsky~~\|~~Kosmorsky~~]] and made on <tt>~~2011~~-12-~~15 17~~:01:38 UTC</tt>.<br>		: This revision was by author [[User:JosephRuhf\|JosephRuhf]] and made on <tt>2012-08-06 22:52:39 UTC</tt>.<br>
	: The original revision id was <tt>~~286668646~~</tt>.<br>		: The original revision id was <tt>356619764</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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	1:.........26/25..............67.900 tridecimal 1/3-tone		1:.........26/25..............67.900 tridecimal 1/3-tone
	2:.........27/25.............133.238 large limma, BP small semitone		2:.........27/25.............133.238 large limma, BP small semitone
	3:.........28/25.............196.198 middle second		3:.........28/25.............196.198 middle major second
	4:.........29/25.............256.950		4:.........29/25.............256.950
	5:..........6/5...............315.641 minor third		5:..........6/5...............315.641 minor third
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	17:.........42/25.............898.153 quasi-tempered major sixth		17:.........42/25.............898.153 quasi-tempered major sixth
	18:.........43/25.............938.890		18:.........43/25.............938.890
	19:..........9/5..............1017.596 just minor seventh, BP seventh		19:.........44/25.............978.691
	20:..........2/1..............1200.000 octave		20:..........9/5..............1017.596 just minor seventh, BP seventh
	21:.........11/5.............1365.004 neutral ninth		21:.........46/25............1055.647
	22:.........12/5.............1515.641 minor 10th		22:.........47/25............1092.897
	23:.........13/5.............1654.214 tridecimal semi-diminished fourth +1 octave		23:.........48/25............1129.328 classic chromatic major 7th
	24:.........14/5.............1782.512 septimal or Huygens' tritone, BP fourth +1 octave		24:.........49/25............1165.024
	25:..........3/1..............1901.955 perfect 12th		25:..........2/1..............1200.000 octave
	26:.........16/5.............2013.686 minor 13th		26:........51/25............1234.283
	27:.........17/5,,,,,,,,,,,,,2118.642 septendecimal diminished seventh +1 octave		27:........52/25............1267.900 tridecimal 1/3-tone +1 octave
	28:.........18/5.............2217.596 minor 14th		28:........53/25............1300.877
	29:.........19/5.............2311.199 undevicesimal major seventh +1 octave		29:........54/25............1333.238 large limma, BP small semitone +1 octave
	30:..........4/1.............2400.000 2 octaves		30:.........11/5.............1365.004 neutral ninth
	31:.........21/5............2484.467 minor semitone +2 octaves		31:.........56/25...........1396.198 middle major second +1 octave
	32:.........22/5.............2565.004 4/5-tone, Ptolemy's second +2 octaves		32:.........57/25...........1426.841
	33:.........23/5.............2641.961		33:.........58/25...........1456.950
	34:.........24/5.............2715.641 minor 17th		34:.........59/25...........1486.544
	35:..........5/1..............2786.314 pentave</pre></div>		35:.........12/5.............1515.641 minor 10th
			36:.........13/5.............1654.214 tridecimal semi-diminished fourth +1 octave
			37:.........14/5.............1782.512 septimal or Huygens' tritone, BP fourth +1 octave
			38:..........3/1..............1901.955 perfect 12th
			39:.........16/5.............2013.686 minor 13th
			40:.........17/5,,,,,,,,,,,,,2118.642 septendecimal diminished seventh +1 octave
			41:.........18/5.............2217.596 minor 14th
			42:.........19/5.............2311.199 undevicesimal major seventh +1 octave
			43:..........4/1.............2400.000 2 octaves
			44:.........21/5............2484.467 minor semitone +2 octaves
			45:.........22/5.............2565.004 4/5-tone, Ptolemy's second +2 octaves
			46:.........23/5.............2641.961
			47:.........24/5.............2715.641 minor 17th
			48:..........5/1..............2786.314 pentave</pre></div>
	<h4>Original HTML content:</h4>		<h4>Original HTML content:</h4>
	<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"><html><head><title>Pentave Reduced Harmonics</title></head><body>0:..........1/1..................0.000 unison, perfect prime<br />		<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"><html><head><title>Pentave Reduced Harmonics</title></head><body>0:..........1/1..................0.000 unison, perfect prime<br />
	1:.........26/25..............67.900 tridecimal 1/3-tone<br />		1:.........26/25..............67.900 tridecimal 1/3-tone<br />
	2:.........27/25.............133.238 large limma, BP small semitone<br />		2:.........27/25.............133.238 large limma, BP small semitone<br />
	3:.........28/25.............196.198 middle second<br />		3:.........28/25.............196.198 middle major second<br />
	4:.........29/25.............256.950<br />		4:.........29/25.............256.950<br />
	5:..........6/5...............315.641 minor third<br />		5:..........6/5...............315.641 minor third<br />
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	17:.........42/25.............898.153 quasi-tempered major sixth<br />		17:.........42/25.............898.153 quasi-tempered major sixth<br />
	18:.........43/25.............938.890<br />		18:.........43/25.............938.890<br />
	19:..........9/5..............1017.596 just minor seventh, BP seventh<br />		19:.........44/25.............978.691 <br />
	20:..........2/1..............1200.000 octave<br />		20:..........9/5..............1017.596 just minor seventh, BP seventh<br />
	21:.........11/5.............1365.004 neutral ninth<br />		21:.........46/25............1055.647<br />
	22:.........12/5.............1515.641 minor 10th<br />		22:.........47/25............1092.897<br />
	23:.........13/5.............1654.214 tridecimal semi-diminished fourth +1 octave<br />		23:.........48/25............1129.328 classic chromatic major 7th<br />
	24:.........14/5.............1782.512 septimal or Huygens' tritone, BP fourth +1 octave<br />		24:.........49/25............1165.024 <br />
	25:..........3/1..............1901.955 perfect 12th<br />		25:..........2/1..............1200.000 octave<br />
	26:.........16/5.............2013.686 minor 13th<br />		26:........51/25............1234.283 <br />
	27:.........17/5,,,,,,,,,,,,,2118.642 septendecimal diminished seventh +1 octave<br />		27:........52/25............1267.900 tridecimal 1/3-tone +1 octave<br />
	28:.........18/5.............2217.596 minor 14th<br />		28:........53/25............1300.877<br />
	29:.........19/5.............2311.199 undevicesimal major seventh +1 octave<br />		29:........54/25............1333.238 large limma, BP small semitone +1 octave<br />
	30:..........4/1.............2400.000 2 octaves<br />		30:.........11/5.............1365.004 neutral ninth<br />
	31:.........21/5............2484.467 minor semitone +2 octaves<br />		31:.........56/25...........1396.198 middle major second +1 octave<br />
	32:.........22/5.............2565.004 4/5-tone, Ptolemy's second +2 octaves<br />		32:.........57/25...........1426.841<br />
	33:.........23/5.............2641.961<br />		33:.........58/25...........1456.950<br />
	34:.........24/5.............2715.641 minor 17th<br />		34:.........59/25...........1486.544 <br />
	35:..........5/1..............2786.314 pentave</body></html></pre></div>		35:.........12/5.............1515.641 minor 10th<br />
			36:.........13/5.............1654.214 tridecimal semi-diminished fourth +1 octave<br />
			37:.........14/5.............1782.512 septimal or Huygens' tritone, BP fourth +1 octave<br />
			38:..........3/1..............1901.955 perfect 12th<br />
			39:.........16/5.............2013.686 minor 13th<br />
			40:.........17/5,,,,,,,,,,,,,2118.642 septendecimal diminished seventh +1 octave<br />
			41:.........18/5.............2217.596 minor 14th<br />
			42:.........19/5.............2311.199 undevicesimal major seventh +1 octave<br />
			43:..........4/1.............2400.000 2 octaves<br />
			44:.........21/5............2484.467 minor semitone +2 octaves<br />
			45:.........22/5.............2565.004 4/5-tone, Ptolemy's second +2 octaves<br />
			46:.........23/5.............2641.961<br />
			47:.........24/5.............2715.641 minor 17th<br />
			48:..........5/1..............2786.314 pentave</body></html></pre></div>

← Older revision		Revision as of 06:33, 21 December 2021
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	\| \| 2786.314 pentave		\| \| 2786.314 pentave
	\|}		\|}
	.
	[[Category:~~5th_harmonic~~]]		[[Category:Interval collection]]
	[[Category:~~catalog~~]]		[[Category:5th harmonic]]
	[[Category:~~ed5]]~~		[[Category:Just intonation]]
	~~[[Category:just]]~~
	~~[[Category:list~~]]

Pentave Reduced Harmonics - Revision history

BudjarnLambeth at 10:09, 4 December 2024

BudjarnLambeth: Add see also to dead end page

Fredg999 category edits: Moving from Category:Interval collection to Category:Lists of intervals using Cat-a-lot

Fredg999: Categories

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>JosephRuhf: **Imported revision 531059708 - Original comment: **

Wikispaces>JosephRuhf: **Imported revision 357615896 - Original comment: **

Wikispaces>JosephRuhf: **Imported revision 357438004 - Original comment: **

Wikispaces>JosephRuhf: **Imported revision 357437896 - Original comment: **

Wikispaces>JosephRuhf: **Imported revision 356619764 - Original comment: **

Wikispaces>JosephRuhf: Imported revision 531059708 - Original comment:

Wikispaces>JosephRuhf: Imported revision 357615896 - Original comment:

Wikispaces>JosephRuhf: Imported revision 357438004 - Original comment:

Wikispaces>JosephRuhf: Imported revision 357437896 - Original comment:

Wikispaces>JosephRuhf: Imported revision 356619764 - Original comment: