Otones8-16 - Revision history

FloraC: Redirected page to 8afdo

2023-09-20T10:58:32Z

Redirected page to 8afdo

BudjarnLambeth: Moved from category "overtone" to "harmonic"

2023-04-28T09:21:40Z

Moved from category "overtone" to "harmonic"

← Older revision		Revision as of 09:21, 28 April 2023
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	[https://www.youtube.com/watch?v=U6ElPRoIZak No Snow for Diatonic Harmonic Guitar by Dante Rosati]		[https://www.youtube.com/watch?v=U6ElPRoIZak No Snow for Diatonic Harmonic Guitar by Dante Rosati]
	[[Category:~~Overtone~~]]		[[Category:Harmonic]]
	[[Category:Harmonic series]]		[[Category:Harmonic series]]
	[[Category:AFDO]]		[[Category:AFDO]]
	[[Category:Tables]]		[[Category:Tables]]
	[[Category:8-tone scales]]		[[Category:8-tone scales]]

BudjarnLambeth at 01:05, 26 April 2023

2023-04-26T01:05:24Z

← Older revision		Revision as of 01:05, 26 April 2023
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	[[Category:AFDO]]		[[Category:AFDO]]
	[[Category:Tables]]		[[Category:Tables]]
			[[Category:8-tone scales]]

BudjarnLambeth: Categorised this uncategorised page

2023-04-26T01:02:32Z

Categorised this uncategorised page

← Older revision		Revision as of 01:02, 26 April 2023
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	===Compositions:===		===Compositions:===
	[~~http~~://www.youtube.com/watch?v=FlwN7qSGz9U Paracelsus for Diatonic Harmonic Guitar by Dante Rosati]		[https://www.youtube.com/watch?v=FlwN7qSGz9U Paracelsus for Diatonic Harmonic Guitar by Dante Rosati]

	[~~http~~://www.youtube.com/watch?v=U6ElPRoIZak No Snow for Diatonic Harmonic Guitar by Dante Rosati]		[https://www.youtube.com/watch?v=U6ElPRoIZak No Snow for Diatonic Harmonic Guitar by Dante Rosati]
			[[Category:Overtone]]
			[[Category:Harmonic series]]
			[[Category:AFDO]]
			[[Category:Tables]]

Wolftune: fixed erroneous use of "overtone" vs "harmonic"

2022-01-22T20:37:59Z

fixed erroneous use of "overtone" vs "harmonic"

← Older revision		Revision as of 20:37, 22 January 2022
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	"Otones 8-16" refers to a scale generated by taking the 8th through 16th ~~overtone over some fundamental~~. Dante Rosati calls this the "Diatonic Harmonic Series Scale" and Denny Genovese calls this "Mode 8 of the Harmonic Series". It may be treated as octave-repeating, or not. The frequency ratio between the steps of the scale can be represented as 8:9:10:11:12:13:14:15:16. Note that 16, being a doubling of 8, is an octave above the first tone.		"Otones 8-16" refers to a scale generated by taking the 8th through 16th harmonics of the harmonic series. Dante Rosati calls this the "Diatonic Harmonic Series Scale" and Denny Genovese calls this "Mode 8 of the Harmonic Series". It may be treated as octave-repeating, or not. The frequency ratio between the steps of the scale can be represented as 8:9:10:11:12:13:14:15:16. Note that 16, being a doubling of 8, is an octave above the first tone.

	Otones 8-16 contains eight tones in the octave and eight different step sizes. The steps get smaller as the scale ascends:		Otones 8-16 contains eight tones in the octave and eight different step sizes. The steps get smaller as the scale ascends:

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>Andrew_Heathwaite: Imported revision 262909310 - Original comment:

2011-10-08T23:12:13Z

**Imported revision 262909310 - Original comment: **

← Older revision		Revision as of 23:12, 8 October 2011
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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:Andrew_Heathwaite\|Andrew_Heathwaite]] and made on <tt>2011-03-~~25 19~~:52:15 UTC</tt>.<br>		: This revision was by author [[User:Andrew_Heathwaite\|Andrew_Heathwaite]] and made on <tt>2011-10-08 23:12:13 UTC</tt>.<br>
	: The original revision id was <tt>~~214110848~~</tt>.<br>		: The original revision id was <tt>262909310</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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	\|\| 15 \|\| 15/8 \|\| \|\| 5-limit major seventh; classic major seventh \|\| 1088.27 \|\| \|\|		\|\| 15 \|\| 15/8 \|\| \|\| 5-limit major seventh; classic major seventh \|\| 1088.27 \|\| \|\|
	\|\| \|\| \|\| 16:15 \|\| 5-limit minor second; classic minor second; minor diatonic semitone \|\| \|\| 111.73 \|\|		\|\| \|\| \|\| 16:15 \|\| 5-limit minor second; classic minor second; minor diatonic semitone \|\| \|\| 111.73 \|\|
	\|\| 16 \|\| 2/1 \|\| \|\| perfect octave \|\| 1200.00 \|\| \|\|</pre></div>		\|\| 16 \|\| 2/1 \|\| \|\| perfect octave \|\| 1200.00 \|\| \|\|

			===Compositions:===
			[[http://www.youtube.com/watch?v=FlwN7qSGz9U\|Paracelsus for Diatonic Harmonic Guitar by Dante Rosati]]
			[[http://www.youtube.com/watch?v=U6ElPRoIZak\|No Snow for Diatonic Harmonic Guitar by Dante Rosati]]</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>otones8-16</title></head><body>&quot;Otones 8-16&quot; refers to a scale generated by taking the 8th through 16th overtone over some fundamental. Dante Rosati calls this the &quot;Diatonic Harmonic Series Scale&quot; and Denny Genovese calls this &quot;Mode 8 of the Harmonic Series&quot;. It may be treated as octave-repeating, or not. The frequency ratio between the steps of the scale can be represented as 8:9:10:11:12:13:14:15:16. Note that 16, being a doubling of 8, is an octave above the first tone.<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>otones8-16</title></head><body>&quot;Otones 8-16&quot; refers to a scale generated by taking the 8th through 16th overtone over some fundamental. Dante Rosati calls this the &quot;Diatonic Harmonic Series Scale&quot; and Denny Genovese calls this &quot;Mode 8 of the Harmonic Series&quot;. It may be treated as octave-repeating, or not. The frequency ratio between the steps of the scale can be represented as 8:9:10:11:12:13:14:15:16. Note that 16, being a doubling of 8, is an octave above the first tone.<br />
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	</table>		</table>

	</body></html></pre></div>		<br />
			<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Compositions:"></a><!-- ws:end:WikiTextHeadingRule:0 -->Compositions:</h3>
			<a class="wiki_link_ext" href="http://www.youtube.com/watch?v=FlwN7qSGz9U" rel="nofollow">Paracelsus for Diatonic Harmonic Guitar by Dante Rosati</a><br />
			<a class="wiki_link_ext" href="http://www.youtube.com/watch?v=U6ElPRoIZak" rel="nofollow">No Snow for Diatonic Harmonic Guitar by Dante Rosati</a></body></html></pre></div>

Wikispaces>Andrew_Heathwaite: Imported revision 214110848 - Original comment:

2011-03-25T19:52:15Z

**Imported revision 214110848 - Original comment: **

New page

<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference: 
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-03-25 19:52:15 UTC</tt>. 
: The original revision id was <tt>214110848</tt>. 
: The revision comment was: <tt></tt> 
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it. 
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">"Otones 8-16" refers to a scale generated by taking the 8th through 16th overtone over some fundamental. Dante Rosati calls this the "Diatonic Harmonic Series Scale" and Denny Genovese calls this "Mode 8 of the Harmonic Series". It may be treated as octave-repeating, or not. The frequency ratio between the steps of the scale can be represented as 8:9:10:11:12:13:14:15:16. Note that 16, being a doubling of 8, is an octave above the first tone.

Otones 8-16 contains eight tones in the octave and eight different step sizes. The steps get smaller as the scale ascends:

|| harmonic || ratio from 1/1 || ratio in between ("step") || names || cents value, scale member || cents value, step ||
|| 8 || 1/1 || || unison, perfect prime || 0.00 || ||
|| || || 9:8 || large whole step; Pythagorean whole step; major whole tone || || 203.91 ||
|| 9 || 9/8 || || large whole step; Pythagorean whole step; major whole tone || 203.91 || ||
|| || || 10:9 || small whole step; 5-limit whole step; minor whole tone || || 182.40 ||
|| 10 || 5/4 || || 5-limit major third || 386.31 || ||
|| || || 11:10 || large undecimal neutral second, 4/5-tone, Ptolemy's second || || 165.00 ||
|| 11 || 11/8 || || undecimal semi-augmented fourth || 551.32 || ||
|| || || 12:11 || small undecimal neutral second, 3/4-tone || || 150.64 ||
|| 12 || 3/2 || || just perfect fifth || 701.955 || ||
|| || || 13:12 || large tridecimal neutral second, tridecimal 2/3 tone || || 138.57 ||
|| 13 || 13/8 || || tridecimal neutral sixth || 840.53 || ||
|| || || 14:13 || small tridecimal neutral second; lesser tridecimal 2/3 tone || || 128.30 ||
|| 14 || 7/4 || || harmonic seventh || 968.83 || ||
|| || || 15:14 || septimal minor second; major diatonic semitone || || 119.44 ||
|| 15 || 15/8 || || 5-limit major seventh; classic major seventh || 1088.27 || ||
|| || || 16:15 || 5-limit minor second; classic minor second; minor diatonic semitone || || 111.73 ||
|| 16 || 2/1 || || perfect octave || 1200.00 || ||</pre></div>
<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>otones8-16</title></head><body>&quot;Otones 8-16&quot; refers to a scale generated by taking the 8th through 16th overtone over some fundamental. Dante Rosati calls this the &quot;Diatonic Harmonic Series Scale&quot; and Denny Genovese calls this &quot;Mode 8 of the Harmonic Series&quot;. It may be treated as octave-repeating, or not. The frequency ratio between the steps of the scale can be represented as 8:9:10:11:12:13:14:15:16. Note that 16, being a doubling of 8, is an octave above the first tone. 
 
Otones 8-16 contains eight tones in the octave and eight different step sizes. The steps get smaller as the scale ascends: 
 

<table class="wiki_table">
<tr>
<td>harmonic 
</td>
<td>ratio from 1/1 
</td>
<td>ratio in between (&quot;step&quot;) 
</td>
<td>names 
</td>
<td>cents value, scale member 
</td>
<td>cents value, step 
</td>
</tr>
<tr>
<td>8 
</td>
<td>1/1 
</td>
<td> 
</td>
<td>unison, perfect prime 
</td>
<td>0.00 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td>9:8 
</td>
<td>large whole step; Pythagorean whole step; major whole tone 
</td>
<td> 
</td>
<td>203.91 
</td>
</tr>
<tr>
<td>9 
</td>
<td>9/8 
</td>
<td> 
</td>
<td>large whole step; Pythagorean whole step; major whole tone 
</td>
<td>203.91 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td>10:9 
</td>
<td>small whole step; 5-limit whole step; minor whole tone 
</td>
<td> 
</td>
<td>182.40 
</td>
</tr>
<tr>
<td>10 
</td>
<td>5/4 
</td>
<td> 
</td>
<td>5-limit major third 
</td>
<td>386.31 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td>11:10 
</td>
<td>large undecimal neutral second, 4/5-tone, Ptolemy's second 
</td>
<td> 
</td>
<td>165.00 
</td>
</tr>
<tr>
<td>11 
</td>
<td>11/8 
</td>
<td> 
</td>
<td>undecimal semi-augmented fourth 
</td>
<td>551.32 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td>12:11 
</td>
<td>small undecimal neutral second, 3/4-tone 
</td>
<td> 
</td>
<td>150.64 
</td>
</tr>
<tr>
<td>12 
</td>
<td>3/2 
</td>
<td> 
</td>
<td>just perfect fifth 
</td>
<td>701.955 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td>13:12 
</td>
<td>large tridecimal neutral second, tridecimal 2/3 tone 
</td>
<td> 
</td>
<td>138.57 
</td>
</tr>
<tr>
<td>13 
</td>
<td>13/8 
</td>
<td> 
</td>
<td>tridecimal neutral sixth 
</td>
<td>840.53 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td>14:13 
</td>
<td>small tridecimal neutral second; lesser tridecimal 2/3 tone 
</td>
<td> 
</td>
<td>128.30 
</td>
</tr>
<tr>
<td>14 
</td>
<td>7/4 
</td>
<td> 
</td>
<td>harmonic seventh 
</td>
<td>968.83 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td>15:14 
</td>
<td>septimal minor second; major diatonic semitone 
</td>
<td> 
</td>
<td>119.44 
</td>
</tr>
<tr>
<td>15 
</td>
<td>15/8 
</td>
<td> 
</td>
<td>5-limit major seventh; classic major seventh 
</td>
<td>1088.27 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td>16:15 
</td>
<td>5-limit minor second; classic minor second; minor diatonic semitone 
</td>
<td> 
</td>
<td>111.73 
</td>
</tr>
<tr>
<td>16 
</td>
<td>2/1 
</td>
<td> 
</td>
<td>perfect octave 
</td>
<td>1200.00 
</td>
<td> 
</td>
</tr>
</table>

</body></html></pre></div>