Easy Scales by Interpolating between Harmonic Series - Revision history

BudjarnLambeth: Added links to dead end page

2024-01-09T05:23:41Z

Added links to dead end page

← Older revision		Revision as of 05:23, 9 January 2024
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	A very easy way to construct a scale that's instantly recognizable, even without repeated listening/priming in the absence of listening the music in 12EDO, is to interpolate between harmonic series.		A very easy way to construct a [[scale]] that's instantly recognizable, even without repeated listening/priming in the absence of listening the music in [[12EDO]], is to interpolate between [[harmonic series]].

	I'm using the notation <<harmonic series numbers from the root>> to denote what harmonic series certain scales contain. If this seems unclear or conflicts with an existing notation, please let me know.		I'm using the notation <<harmonic series numbers from the root>> to denote what harmonic series certain scales contain. If this seems unclear or conflicts with an existing notation, please let me know.
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	the same as the notes C E F G A.		the same as the notes C E F G A.

	The '''x/12 and x/9''' harmonic series become particularly stressed in the '''(Maqam) Rast''', also known as the '''"Blues" scale''', of		The '''x/12 and x/9''' harmonic series become particularly stressed in the '''([[Maqam]]) Rast''', also known as the '''"Blues" scale''', of

	{\| class="wikitable"		{\| class="wikitable"
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	'''(x/10)''' = 10:12:15:16:18		'''(x/10)''' = 10:12:15:16:18

	Feel free to add comments or find/punch loopholes in this theory, but this is what I'd consider an idea '''"extended diatonic"''' scale in that it stresses likely the most important harmonic series in the diatonic scale while adding an extra (x/7) into the mix, giving the scale a wider range of tonal color.		Feel free to add comments or find/punch loopholes in this theory, but this is what I'd consider an idea '''"extended [[diatonic]]"''' scale in that it stresses likely the most important harmonic series in the diatonic scale while adding an extra (x/7) into the mix, giving the scale a wider range of tonal color.

	'''More scales to come later...'''		'''More scales to come later...'''
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	'''Appendix'''		'''Appendix'''

	Above calculations such as the interpolation of (11/7)/(14/9) can also be expressed as commas e.g. 99/98, which can be plugged into Graham Breed's Temperament Finder on [http://x31eq.com/temper/uv.html http://x31eq.com/temper/uv.html] to reveal temperaments and ultimately scales likely to contain the above harmonic series segments.		Above calculations such as the interpolation of (11/7)/(14/9) can also be expressed as commas e.g. 99/98, which can be plugged into [[Graham Breed]]'s Temperament Finder on [http://x31eq.com/temper/uv.html http://x31eq.com/temper/uv.html] to reveal temperaments and ultimately scales likely to contain the above harmonic series segments.

	. However, most of the more advanced scales on my method would require tempering out several different ~~commas~~ and, presumably, also countless related commas indirectly. I am afraid this would often result in huge and much more challenging to play in (think: well over 15 notes) scales needed to contain, say, the x/7,x/8,x/9,and x/12 harmonic series from the root tone with reasonable accuracy in regular temperament theory.		. However, most of the more advanced scales on my method would require tempering out several different [[comma]]s and, presumably, also countless related commas indirectly. I am afraid this would often result in huge and much more challenging to play in (think: well over 15 notes) scales needed to contain, say, the x/7,x/8,x/9,and x/12 harmonic series from the root tone with reasonable accuracy in [[regular temperament theory]].

	If any '''experts on Xenharmonic math''', including related lists, can find a way to related the input of harmonic series segments to, say, MOS ~~scales~~ guaranteed to have them I would really appreciate it.		If any '''experts on Xenharmonic math''', including related lists, can find a way to related the input of harmonic series segments to, say, [[MOS scale]]s guaranteed to have them I would really appreciate it.

	[[Category:Scale]]		[[Category:Scale]]
	[[Category:Guides]]		[[Category:Guides]]
	{{todo\|cleanup}}		{{todo\|cleanup}}

Fredg999 category edits: Categories

2023-03-09T05:18:56Z

Xenwolf: Minor formal adjustments in wikitext. There is still something to do for turning presentational markup into structural one (headings etc.).

2021-12-04T12:31:04Z

Minor formal adjustments in wikitext. There is still something to do for turning presentational markup into structural one (headings etc.).

← Older revision		Revision as of 12:31, 4 December 2021
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	~~=Easy Scales by Interpolating between Harmonic Series=~~

	A very easy way to construct a scale that's instantly recognizable, even without repeated listening/priming in the absence of listening the music in 12EDO, is to interpolate between harmonic series.		A very easy way to construct a scale that's instantly recognizable, even without repeated listening/priming in the absence of listening the music in 12EDO, is to interpolate between harmonic series.

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	Take, for example, the diatonic major scale in 12EDO, where notes are approximately equal to		Take, for example, the diatonic major scale in 12EDO, where notes are approximately equal to

	~~<u>'''C major diatonic in 12EDO <<8-9-12>> scale'''</u>~~

	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
	\| \| C		\|+ C major diatonic in 12EDO <<8-9-12>> scale
	\| \| D		\|-
	\| \| E		\| C
	\| \| F		\| D
	\| \| G		\| E
	\| \| A		\| F
	\| \| B		\| G
			\| A
			\| B
	\|-		\|-
	\| \| 1/1		\| 1/1
	\| \| 9/8 or 10/9		\| 9/8 or 10/9
	\| \| 5/4		\| 5/4
	\| \| 4/3		\| 4/3
	\| \| 3/2		\| 3/2
	\| \| 5/3		\| 5/3
	\| \| 15/8 or 17/9		\| 15/8 or 17/9
	\|}		\|}
	This can be derived from the following harmonic series		This can be derived from the following harmonic series
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	The '''x/12 and x/9''' harmonic series become particularly stressed in the '''(Maqam) Rast''', also known as the '''"Blues" scale''', of		The '''x/12 and x/9''' harmonic series become particularly stressed in the '''(Maqam) Rast''', also known as the '''"Blues" scale''', of

	~~<u>'''Maqam Rast <<9-12>> scale'''</u>~~

	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
	\| \| C		\|+ Maqam Rast <<9-12>> scale
	\| \| D		\|-
	\| \| D#-E		\| C
	\| \| F		\| D
	\| \| G		\| D#-E
	\| \| A		\| F
	\| \| A#-B		\| G
			\| A
			\| A#-B
	\|-		\|-
	\| \| 1/1		\| 1/1
	\| \| 9/8 or 10/9		\| 9/8 or 10/9
	\| \| '''11/9'''		\| '''11/9'''
	\| \| 4/3		\| 4/3
	\| \| 3/2		\| 3/2
	\| \| 5/3 or 27/16		\| 5/3 or 27/16
	\| \| '''11/6'''		\| '''11/6'''
	\|}		\|}
	Here the x/9 series uses the "blue tone" of 11/9 and grows into		Here the x/9 series uses the "blue tone" of 11/9 and grows into
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	Doing such gives us the scale		Doing such gives us the scale

	~~<u>'''10 note <<7-8-9-12>> "extended color diatonic" Harmonic Segment Scale'''</u>~~

	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
	\| \| 1/1		\|+ 10 note <<7-8-9-12>> "extended color diatonic" Harmonic Segment Scale
	\| \| 11181/10000		\|-
	\| \| 5/4		\| 1/1
	\| \| 9/7		\| 11181/10000
	\| \| 4/3		\| 5/4
	\| \| 3/2		\| 9/7
	\| \| 156341/100000		\| 4/3
	\| \| 5/3		\| 3/2
	\| \| 26/15		\| 156341/100000
	\| \| 28/15		\| 5/3
			\| 26/15
			\| 28/15
	\|-		\|-
	\| \|		\|
	\| \| between 10/9 and 9/8		\| between 10/9 and 9/8
	\| \|		\|
	\| \|		\|
	\| \|		\|
	\| \|		\|
	\| \| between 14/9 and 11/7		\| between 14/9 and 11/7
	\| \|		\|
	\| \| between 12/7 and 7/4		\| between 12/7 and 7/4
	\| \| between 13/7 and 15/8		\| between 13/7 and 15/8
	\|}		\|}

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	-----		-----
	'''Appendix-'''		'''Appendix'''

	Above calculations such as the interpolation of (11/7)/(14/9) can also be expressed as commas e.g. 99/98, which can be plugged into Graham Breed's Temperament Finder on [http://x31eq.com/temper/uv.html http://x31eq.com/temper/uv.html] to reveal temperaments and ultimately scales likely to contain the above harmonic series segments.		Above calculations such as the interpolation of (11/7)/(14/9) can also be expressed as commas e.g. 99/98, which can be plugged into Graham Breed's Temperament Finder on [http://x31eq.com/temper/uv.html http://x31eq.com/temper/uv.html] to reveal temperaments and ultimately scales likely to contain the above harmonic series segments.
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	If any '''experts on Xenharmonic math''', including related lists, can find a way to related the input of harmonic series segments to, say, MOS scales guaranteed to have them I would really appreciate it.		If any '''experts on Xenharmonic math''', including related lists, can find a way to related the input of harmonic series segments to, say, MOS scales guaranteed to have them I would really appreciate it.

	[[Category:31edo]]		[[Category:31edo]]
	[[Category:~~what_is~~]]		[[Category:What is]]
	~~[[Category:wiki]]~~		{{todo\|cleanup}}

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

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Wikispaces>mikesheiman: Imported revision 599671162 - Original comment:

2016-11-17T01:23:28Z

**Imported revision 599671162 - Original comment: **

← Older revision		Revision as of 01:23, 17 November 2016
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	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:mikesheiman\|mikesheiman]] and made on <tt>2016-05-~~20 15~~:30:58 UTC</tt>.<br>		: This revision was by author [[User:mikesheiman\|mikesheiman]] and made on <tt>2016-11-17 01:23:28 UTC</tt>.<br>
	: The original revision id was <tt>~~583698251~~</tt>.<br>		: The original revision id was <tt>599671162</tt>.<br>
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	In addition, adding 16/15 to the above scale can yield an additional 5 note harmonic series, making the above a larger <<7-8-9-12-15>> scale		In addition, adding 16/15 to the above scale can yield an additional 5 note harmonic series, making the above a larger <<7-8-9-12-15>> scale
	(x/15) = 15:16:20:26:28		(x/15) = 15:16:20:26:28

			And adding 6/5,8/5, and 9/5 gives
			<<7-8-9-10-12-15>> scale
			(x/10) = 10:12:15:16:18

	Feel free to add comments or find/punch loopholes in this theory, but this is what I'd consider an idea "extended diatonic" scale in that it stresses likely the most important harmonic series in the diatonic scale while adding an extra (x/7) into the mix, giving the scale a wider range of tonal color.		Feel free to add comments or find/punch loopholes in this theory, but this is what I'd consider an idea "extended diatonic" scale in that it stresses likely the most important harmonic series in the diatonic scale while adding an extra (x/7) into the mix, giving the scale a wider range of tonal color.
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	In addition, adding 16/15 to the above scale can yield an additional 5 note harmonic series, making the above a <strong>larger &lt;&lt;7-8-9-12-15&gt;&gt; scale</strong><br />		In addition, adding 16/15 to the above scale can yield an additional 5 note harmonic series, making the above a <strong>larger &lt;&lt;7-8-9-12-15&gt;&gt; scale</strong><br />
	<strong>(x/15)</strong> = 15:16:20:26:28<br />		<strong>(x/15)</strong> = 15:16:20:26:28<br />
			<br />
			And adding 6/5,8/5, and 9/5 gives<br />
			<strong>&lt;&lt;7-8-9-10-12-15&gt;&gt; scale</strong><br />
			<strong>(x/10)</strong> = 10:12:15:16:18<br />
	<br />		<br />
	Feel free to add comments or find/punch loopholes in this theory, but this is what I'd consider an idea <strong>&quot;extended diatonic&quot;</strong> scale in that it stresses likely the most important harmonic series in the diatonic scale while adding an extra (x/7) into the mix, giving the scale a wider range of tonal color.<br />		Feel free to add comments or find/punch loopholes in this theory, but this is what I'd consider an idea <strong>&quot;extended diatonic&quot;</strong> scale in that it stresses likely the most important harmonic series in the diatonic scale while adding an extra (x/7) into the mix, giving the scale a wider range of tonal color.<br />

Wikispaces>mikesheiman: Imported revision 583698251 - Original comment:

2016-05-20T15:30:58Z

**Imported revision 583698251 - Original comment: **

← Older revision		Revision as of 15:30, 20 May 2016
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	: This revision was by author [[User:mikesheiman\|mikesheiman]] and made on <tt>2016-05-20 14:58~~:38~~ UTC</tt>.<br>		: This revision was by author [[User:mikesheiman\|mikesheiman]] and made on <tt>2016-05-20 15:30:58 UTC</tt>.<br>
	: The original revision id was <tt>~~583695435~~</tt>.<br>		: The original revision id was <tt>583698251</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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	\|\| 1/1 \|\| 11181/10000 \|\| 5/4 \|\| 9/7 \|\| 4/3 \|\| 3/2 \|\| 156341/100000 \|\| 5/3 \|\| 26/15 \|\| 28/15 \|\|		\|\| 1/1 \|\| 11181/10000 \|\| 5/4 \|\| 9/7 \|\| 4/3 \|\| 3/2 \|\| 156341/100000 \|\| 5/3 \|\| 26/15 \|\| 28/15 \|\|
	\|\| \|\| between 10/9 and 9/8 \|\| \|\| \|\| \|\| \|\| between 14/9 and 11/7 \|\| \|\| between 12/7 and 7/4 \|\| between 13/7 and 15/8 \|\|		\|\| \|\| between 10/9 and 9/8 \|\| \|\| \|\| \|\| \|\| between 14/9 and 11/7 \|\| \|\| between 12/7 and 7/4 \|\| between 13/7 and 15/8 \|\|

			In addition, adding 16/15 to the above scale can yield an additional 5 note harmonic series, making the above a larger <<7-8-9-12-15>> scale
			(x/15) = 15:16:20:26:28

	Feel free to add comments or find/punch loopholes in this theory, but this is what I'd consider an idea "extended diatonic" scale in that it stresses likely the most important harmonic series in the diatonic scale while adding an extra (x/7) into the mix, giving the scale a wider range of tonal color.		Feel free to add comments or find/punch loopholes in this theory, but this is what I'd consider an idea "extended diatonic" scale in that it stresses likely the most important harmonic series in the diatonic scale while adding an extra (x/7) into the mix, giving the scale a wider range of tonal color.
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	</table>		</table>

			<br />
			In addition, adding 16/15 to the above scale can yield an additional 5 note harmonic series, making the above a <strong>larger &lt;&lt;7-8-9-12-15&gt;&gt; scale</strong><br />
			<strong>(x/15)</strong> = 15:16:20:26:28<br />
	<br />		<br />
	Feel free to add comments or find/punch loopholes in this theory, but this is what I'd consider an idea <strong>&quot;extended diatonic&quot;</strong> scale in that it stresses likely the most important harmonic series in the diatonic scale while adding an extra (x/7) into the mix, giving the scale a wider range of tonal color.<br />		Feel free to add comments or find/punch loopholes in this theory, but this is what I'd consider an idea <strong>&quot;extended diatonic&quot;</strong> scale in that it stresses likely the most important harmonic series in the diatonic scale while adding an extra (x/7) into the mix, giving the scale a wider range of tonal color.<br />

Wikispaces>mikesheiman: Imported revision 583695435 - Original comment:

2016-05-20T14:58:38Z

**Imported revision 583695435 - Original comment: **

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	: This revision was by author [[User:mikesheiman\|mikesheiman]] and made on <tt>2016-05-20 14:52:03 UTC</tt>.<br>		: This revision was by author [[User:mikesheiman\|mikesheiman]] and made on <tt>2016-05-20 14:58:38 UTC</tt>.<br>
	: The original revision id was <tt>~~583694803~~</tt>.<br>		: The original revision id was <tt>583695435</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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	The x/12 and x/9 harmonic series become particularly stressed in the (Maqam) Rast, also known as the "Blues" scale, of		The x/12 and x/9 harmonic series become particularly stressed in the (Maqam) Rast, also known as the "Blues" scale, of
	__Maqam Rast <<8-9-12>> scale__		__Maqam Rast <<9-12>> scale__
	\|\| C \|\| D \|\| D#-E \|\| F \|\| G \|\| A \|\| A#-B \|\|		\|\| C \|\| D \|\| D#-E \|\| F \|\| G \|\| A \|\| A#-B \|\|
	\|\| 1/1 \|\| 9/8 or 10/9 \|\| 11/9 \|\| 4/3 \|\| 3/2 \|\| 5/3 or 27/16 \|\| 11/6 \|\|		\|\| 1/1 \|\| 9/8 or 10/9 \|\| 11/9 \|\| 4/3 \|\| 3/2 \|\| 5/3 or 27/16 \|\| 11/6 \|\|
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	<br />		<br />
	The <strong>x/12 and x/9</strong> harmonic series become particularly stressed in the <strong>(Maqam) Rast</strong>, also known as the <strong>&quot;Blues&quot; scale</strong>, of<br />		The <strong>x/12 and x/9</strong> harmonic series become particularly stressed in the <strong>(Maqam) Rast</strong>, also known as the <strong>&quot;Blues&quot; scale</strong>, of<br />
	<u><strong>Maqam Rast &lt;&lt;8-9-12&gt;&gt; scale</strong></u><br />		<u><strong>Maqam Rast &lt;&lt;9-12&gt;&gt; scale</strong></u><br />

Wikispaces>mikesheiman: Imported revision 583694803 - Original comment:

2016-05-20T14:52:03Z

**Imported revision 583694803 - Original comment: **

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2016-05-20T14:38:27Z

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Wikispaces>mikesheiman: Imported revision 583688859 - Original comment:

2016-05-20T13:56:50Z

**Imported revision 583688859 - Original comment: **

← Older revision		Revision as of 13:56, 20 May 2016
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	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:mikesheiman\|mikesheiman]] and made on <tt>2016-05-20 13:46:21 UTC</tt>.<br>		: This revision was by author [[User:mikesheiman\|mikesheiman]] and made on <tt>2016-05-20 13:56:50 UTC</tt>.<br>
	: The original revision id was <tt>~~583687769~~</tt>.<br>		: The original revision id was <tt>583688859</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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	(x/9) - 1/1, 10/9, 12/9 (4/3), 15/9 (5/3), 17/9		(x/9) - 1/1, 10/9, 12/9 (4/3), 15/9 (5/3), 17/9
	which is the same as the notes C D F A B and contains the subdominant major chord F A C		which is the same as the notes C D F A B and contains the subdominant major chord F A C
	(x/8) - 1/1,9/8,10/8 (5/4), 12/8 (3/2), 15/8		(x/8) - 1/1,9/8,10/8 (5/4), 12/8 (3/2), 15/8
	which is the same as the notes C D E G B and contains the tonic major chord C E G along with the dominant major chord G B D</pre></div>		which is the same as the notes C D E G B and contains the tonic major chord C E G along with the dominant major chord G B D
			(x/12) - 1/1 5/4 4/3 3/2 5/3
			the same as the notes C E F G A.

			The x/12 and x/9 harmonic series become particularly stressed in the (Maqam) Rast scale of</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>Easy Scales by Interpolating between Harmonic Series</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Easy Scales by Interpolating between Harmonic Series"></a><!-- ws:end:WikiTextHeadingRule:0 -->Easy Scales by Interpolating between Harmonic Series</h1>		<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>Easy Scales by Interpolating between Harmonic Series</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Easy Scales by Interpolating between Harmonic Series"></a><!-- ws:end:WikiTextHeadingRule:0 -->Easy Scales by Interpolating between Harmonic Series</h1>
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	<strong>(x/9)</strong> - 1/1, 10/9, 12/9 (4/3), 15/9 (5/3), 17/9<br />		<strong>(x/9)</strong> - 1/1, 10/9, 12/9 (4/3), 15/9 (5/3), 17/9<br />
	which is the same as the notes C D F A B and contains the <strong>subdominant major chord F A C</strong><br />		which is the same as the notes C D F A B and contains the <strong>subdominant major chord F A C</strong><br />
	<strong>(x/8)</strong> - 1/1,9/8,10/8 (5/4), 12/8 (3/2), 15/8 <br />		<strong>(x/8)</strong> - 1/1,9/8,10/8 (5/4), 12/8 (3/2), 15/8<br />
	which is the same as the notes C D E G B and contains the <strong>tonic major chord C E G</strong> along with the <strong>dominant major chord G B D</strong></body></html></pre></div>		which is the same as the notes C D E G B and contains the <strong>tonic major chord C E G</strong> along with the <strong>dominant major chord G B D</strong><br />
			<strong>(x/12) -</strong> 1/1 5/4 4/3 3/2 5/3<br />
			the same as the notes C E F G A. <br />
			<br />
			The <strong>x/12 and x/9</strong> harmonic series become particularly stressed in the (Maqam) Rast scale of</body></html></pre></div>

← Older revision		Revision as of 05:18, 9 March 2023
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	If any '''experts on Xenharmonic math''', including related lists, can find a way to related the input of harmonic series segments to, say, MOS scales guaranteed to have them I would really appreciate it.		If any '''experts on Xenharmonic math''', including related lists, can find a way to related the input of harmonic series segments to, say, MOS scales guaranteed to have them I would really appreciate it.

	[[Category:~~31edo~~]]		[[Category:Scale]]
	[[Category:~~What is~~]]		[[Category:Guides]]
	{{todo\|cleanup}}		{{todo\|cleanup}}

Easy Scales by Interpolating between Harmonic Series - Revision history

BudjarnLambeth: Added links to dead end page

Fredg999 category edits: Categories

Xenwolf: Minor formal adjustments in wikitext. There is still something to do for turning presentational markup into structural one (headings etc.).

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>mikesheiman: **Imported revision 599671162 - Original comment: **

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Wikispaces>mikesheiman: **Imported revision 583688859 - Original comment: **

Wikispaces>mikesheiman: Imported revision 599671162 - Original comment:

Wikispaces>mikesheiman: Imported revision 583698251 - Original comment:

Wikispaces>mikesheiman: Imported revision 583695435 - Original comment:

Wikispaces>mikesheiman: Imported revision 583694803 - Original comment:

Wikispaces>mikesheiman: Imported revision 583693365 - Original comment:

Wikispaces>mikesheiman: Imported revision 583688859 - Original comment: