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	<title>Talk:Tuning RPNs/WikispacesArchive - Revision history</title>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Tuning_RPNs/WikispacesArchive&amp;diff=35016&amp;oldid=prev</id>
		<title>Mike Battaglia: 1 revision imported: Moving archived Wikispaces discussion to subpage</title>
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		<updated>2018-10-01T18:01:50Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported: Moving archived Wikispaces discussion to subpage&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:01, 1 October 2018&lt;/td&gt;
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		<author><name>Mike Battaglia</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Tuning_RPNs/WikispacesArchive&amp;diff=35015&amp;oldid=prev</id>
		<title>Wikispaces&gt;FREEZE at 18:01, 1 October 2018</title>
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		<updated>2018-10-01T18:01:16Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{WSArchiveHeader}}&lt;br /&gt;
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&lt;br /&gt;
== 8192 - 1 ==&lt;br /&gt;
&lt;br /&gt;
I have a question about,&lt;br /&gt;
&lt;br /&gt;
frequency = 440 * 2 ^ [ (outputNote - 69) / 12 + (pitchBend / 8192 - 1) / 6 ].&lt;br /&gt;
&lt;br /&gt;
Why the (8192 – 1) and not (8192)?    The rang of pitch bend is –8192 to +8191 with 0 being no bend the total range is 16383.   Using (8192 – 1) would give you true +200 ¢ but would give you more than 200 ¢ negative.   There for the ranges of pitch bend would over lap when changing notes by a tone.    Using 8192 there would be on over lap.    Are there any synthesizers that use (8192 – 1)?     That seems like a more complicated math for the synthesizers.&lt;br /&gt;
&lt;br /&gt;
Using + or – 50 ¢ I would think you would not want the over lap either,&lt;br /&gt;
&lt;br /&gt;
requency = 440 * 2 ^ [ (ON - 69) / 12 + (PB / 8192) / 24 ].&lt;br /&gt;
&lt;br /&gt;
So to get a +50 ¢ PB you would go to,&lt;br /&gt;
&lt;br /&gt;
requency = 440 * 2 ^ [ ((ON + 1) - 69) / 12 + (-8192 / 8192) / 24 ].&lt;br /&gt;
&lt;br /&gt;
And to get a –50 ¢ PB you would go to,&lt;br /&gt;
&lt;br /&gt;
requency = 440 * 2 ^ [ ((ON) - 69) / 12 + (-8192 / 8192) / 24 ].&lt;br /&gt;
&lt;br /&gt;
Thank you,&lt;br /&gt;
&lt;br /&gt;
ƒg&lt;br /&gt;
&lt;br /&gt;
- &amp;#039;&amp;#039;&amp;#039;gillmre&amp;#039;&amp;#039;&amp;#039; September 27, 2013, 08:56:51 PM UTC-0700&lt;br /&gt;
----&lt;br /&gt;
You misunderstand, my friend.&lt;br /&gt;
&lt;br /&gt;
1) (pitchBend / 8192 - 1) / 6 is really ((pitchBend / 8192) - 1) / 6. Division has a higher priority than subtraction.&lt;br /&gt;
&lt;br /&gt;
2) In terms of the MSB &amp;amp;amp; LSB of the actual midi messages, pitchBend runs from 0 to 16383. Many DAWs display that range as -8192 to +8191, just as midi channel 0 is displayed as channel 1.&lt;br /&gt;
&lt;br /&gt;
3) (pitchBend / 8192 - 1) / 6 ranges from -1/6 to nearly +1/6 of an octave, or from -200¢ to +199.83¢.&lt;br /&gt;
&lt;br /&gt;
4) if you complain about not being able to bend that last 0.17¢ up to the major 2nd, I will scream!&lt;br /&gt;
&lt;br /&gt;
- &amp;#039;&amp;#039;&amp;#039;TallKite&amp;#039;&amp;#039;&amp;#039; October 09, 2013, 10:02:43 AM UTC-0700&lt;br /&gt;
----&lt;/div&gt;</summary>
		<author><name>Wikispaces&gt;FREEZE</name></author>
	</entry>
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