<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
<meta name="ProgId" content="Word.Document">
<meta name="Generator" content="Microsoft Word 15">
<meta name="Originator" content="Microsoft Word 15">
<link rel="File-List" href="cid:filelist.xml@01D2378D.98B9DE40"><!--[if gte mso 9]><xml>
<o:OfficeDocumentSettings>
<o:AllowPNG/>
<o:DoNotRelyOnCSS/>
</o:OfficeDocumentSettings>
</xml><![endif]--><!--[if gte mso 9]><xml>
<w:WordDocument>
<w:Zoom>130</w:Zoom>
<w:SpellingState>Clean</w:SpellingState>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:EnvelopeVis/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:DoNotPromoteQF/>
<w:LidThemeOther>EN-US</w:LidThemeOther>
<w:LidThemeAsian>X-NONE</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:DoNotExpandShiftReturn/>
<w:BreakWrappedTables/>
<w:SplitPgBreakAndParaMark/>
<w:EnableOpenTypeKerning/>
</w:Compatibility>
<w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel>
<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="--"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
</m:mathPr></w:WordDocument>
</xml><![endif]--><!--[if gte mso 9]><xml>
<w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="false" DefSemiHidden="false" DefQFormat="false" DefPriority="99" LatentStyleCount="371">
<w:LsdException Locked="false" Priority="0" QFormat="true" Name="Normal"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 1"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 2"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 8"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="index 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="index 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="index 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="index 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="index 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="index 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="index 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="index 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="index 9"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true" UnhideWhenUsed="true" Name="toc 1"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true" UnhideWhenUsed="true" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true" UnhideWhenUsed="true" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true" UnhideWhenUsed="true" Name="toc 4"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true" UnhideWhenUsed="true" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true" UnhideWhenUsed="true" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true" UnhideWhenUsed="true" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true" UnhideWhenUsed="true" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true" UnhideWhenUsed="true" Name="toc 9"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Normal Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="footnote text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="annotation text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="header"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="footer"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="index heading"/>
<w:LsdException Locked="false" Priority="35" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="caption"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="table of figures"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="envelope address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="envelope return"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="footnote reference"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="annotation reference"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="line number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="page number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="endnote reference"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="endnote text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="table of authorities"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="macro"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="toa heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Bullet"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Bullet 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Bullet 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Bullet 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Bullet 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Number 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Number 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Number 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Number 5"/>
<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Closing"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Signature"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="true" UnhideWhenUsed="true" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Body Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Body Text Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Continue"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Continue 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Continue 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Continue 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="List Continue 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Message Header"/>
<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Salutation"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Date"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Body Text First Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Body Text First Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true" Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true" Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true" Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true" Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true" Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true" Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true" Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true" UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true" UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful Accent 6"/>
</w:LatentStyles>
</xml><![endif]--><style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;
mso-font-charset:1;
mso-generic-font-family:roman;
mso-font-pitch:variable;
mso-font-signature:0 0 0 0 0 0;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;
mso-font-charset:0;
mso-generic-font-family:swiss;
mso-font-pitch:variable;
mso-font-signature:-536870145 1073786111 1 0 415 0;}
@font-face
{font-family:Consolas;
panose-1:2 11 6 9 2 2 4 3 2 4;
mso-font-charset:0;
mso-generic-font-family:modern;
mso-font-pitch:fixed;
mso-font-signature:-520092929 1073806591 9 0 415 0;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{mso-style-unhide:no;
mso-style-qformat:yes;
mso-style-parent:"";
margin:0in;
margin-bottom:.0001pt;
mso-pagination:widow-orphan;
font-size:11.0pt;
font-family:"Calibri",sans-serif;
mso-fareast-font-family:Calibri;
mso-bidi-font-family:"Times New Roman";
color:black;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:#0563C1;
text-decoration:underline;
text-underline:single;}
a:visited, span.MsoHyperlinkFollowed
{mso-style-noshow:yes;
mso-style-priority:99;
color:#954F72;
text-decoration:underline;
text-underline:single;}
p
{mso-style-noshow:yes;
mso-style-priority:99;
mso-margin-top-alt:auto;
margin-right:0in;
mso-margin-bottom-alt:auto;
margin-left:0in;
mso-pagination:widow-orphan;
font-size:12.0pt;
font-family:"Times New Roman",serif;
mso-fareast-font-family:Calibri;
color:black;}
pre
{mso-style-noshow:yes;
mso-style-priority:99;
mso-style-link:"HTML Preformatted Char";
margin:0in;
margin-bottom:.0001pt;
mso-pagination:widow-orphan;
tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;
font-size:10.0pt;
font-family:"Courier New";
mso-fareast-font-family:Calibri;
color:black;}
p.MsoListParagraph, li.MsoListParagraph, div.MsoListParagraph
{mso-style-noshow:yes;
mso-style-priority:34;
mso-style-unhide:no;
mso-style-qformat:yes;
margin-top:0in;
margin-right:0in;
margin-bottom:0in;
margin-left:.5in;
margin-bottom:.0001pt;
mso-pagination:widow-orphan;
font-size:11.0pt;
font-family:"Calibri",sans-serif;
mso-fareast-font-family:Calibri;
mso-bidi-font-family:"Times New Roman";
color:black;}
span.HTMLPreformattedChar
{mso-style-name:"HTML Preformatted Char";
mso-style-noshow:yes;
mso-style-priority:99;
mso-style-unhide:no;
mso-style-locked:yes;
mso-style-link:"HTML Preformatted";
font-family:Consolas;
mso-ascii-font-family:Consolas;
mso-fareast-font-family:Calibri;
mso-hansi-font-family:Consolas;
mso-bidi-font-family:Consolas;
color:black;}
p.msonormal0, li.msonormal0, div.msonormal0
{mso-style-name:msonormal;
mso-style-noshow:yes;
mso-style-priority:99;
mso-style-unhide:no;
mso-margin-top-alt:auto;
margin-right:0in;
mso-margin-bottom-alt:auto;
margin-left:0in;
mso-pagination:widow-orphan;
font-size:12.0pt;
font-family:"Times New Roman",serif;
mso-fareast-font-family:Calibri;
color:black;}
span.EmailStyle22
{mso-style-type:personal;
mso-style-noshow:yes;
mso-style-unhide:no;
mso-ansi-font-size:11.0pt;
mso-bidi-font-size:11.0pt;
font-family:"Calibri",sans-serif;
mso-ascii-font-family:Calibri;
mso-hansi-font-family:Calibri;
color:windowtext;
mso-text-animation:none;
font-weight:normal;
font-style:normal;
text-decoration:none;
text-underline:none;
text-decoration:none;
text-line-through:none;}
span.EmailStyle23
{mso-style-type:personal-reply;
mso-style-noshow:yes;
mso-style-unhide:no;
mso-ansi-font-size:11.0pt;
mso-bidi-font-size:11.0pt;
font-family:"Calibri",sans-serif;
mso-ascii-font-family:Calibri;
mso-hansi-font-family:Calibri;
color:black;
font-weight:normal;
font-style:normal;
text-decoration:none;
text-underline:none;
text-decoration:none;
text-line-through:none;}
span.SpellE
{mso-style-name:"";
mso-spl-e:yes;}
.MsoChpDefault
{mso-style-type:export-only;
mso-default-props:yes;
font-size:10.0pt;
mso-ansi-font-size:10.0pt;
mso-bidi-font-size:10.0pt;}
@page WordSection1
{size:8.5in 11.0in;
margin:1.0in 1.0in 1.0in 1.0in;
mso-header-margin:.5in;
mso-footer-margin:.5in;
mso-paper-source:0;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 10]><style>/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Table Normal";
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-noshow:yes;
mso-style-priority:99;
mso-style-parent:"";
mso-padding-alt:0in 5.4pt 0in 5.4pt;
mso-para-margin:0in;
mso-para-margin-bottom:.0001pt;
mso-pagination:widow-orphan;
font-size:10.0pt;
font-family:"Times New Roman",serif;}
</style><![endif]--><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]-->
</head>
<body bgcolor="white" lang="EN-US" link="#0563C1" vlink="#954F72" style="tab-interval:.5in">
<div class="WordSection1">
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">Hi Stephane,<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black"><o:p> </o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">Thanks a lot for the excellent tip.<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">After digging a bit, it seems that the reference for the
</span></font>cascaded frequency modulation sound synthesis is<font color="black"><span style="color:black">:<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black"><o:p> </o:p></span></font></p>
<p class="MsoNormal"><span class="SpellE"><i style="mso-bidi-font-style:normal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black;font-style:italic;mso-bidi-font-style:normal">Chowning</span></font></i></span><i style="mso-bidi-font-style:normal"><font color="black"><span style="color:black;font-style:italic;mso-bidi-font-style:normal">,
J. [1973] The Synthesis of Complex Audio Spectra by Means of Frequency Modulation.
<span class="SpellE">JAES</span><o:p></o:p></span></font></i></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black"><o:p> </o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">The following course has a comprehensive chapter on it:<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black"><a href="https://www.music.mcgill.ca/~gary/307/week8/fm.html">https://www.music.mcgill.ca/~gary/307/week8/fm.html</a><o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black"><o:p> </o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">from where one can find the code snippet for a bell sound:<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black"><o:p> </o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black">// by Gary
<span class="SpellE">Scavone</span>, McGill University, 2004<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="FR" style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black;mso-ansi-language:FR">// Bell-<span class="SpellE">like</span>
<span class="SpellE">sound</span><o:p></o:p></span></font></p>
<p class="MsoNormal"><span class="SpellE"><font size="2" color="black" face="Calibri"><span lang="FR" style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black;mso-ansi-language:FR">fs</span></font></span><font size="2" color="black"><span lang="FR" style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black;mso-ansi-language:FR">
= 22050;<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="FR" style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black;mso-ansi-language:FR">T = 1/<span class="SpellE">fs</span>;<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="FR" style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black;mso-ansi-language:FR">dur = 4;<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="FR" style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black;mso-ansi-language:FR">t = 0:T:dur;<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="FR" style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black;mso-ansi-language:FR">T60 = 0.5;<o:p></o:p></span></font></p>
<p class="MsoNormal"><span class="SpellE"><font size="2" color="black" face="Calibri"><span lang="FR" style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black;mso-ansi-language:FR">env</span></font></span><font size="2" color="black"><span lang="FR" style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black;mso-ansi-language:FR">
= 0.95*<span class="SpellE">exp</span>(-t/T60);<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black">// FM parameters<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black">fc = 200;<o:p></o:p></span></font></p>
<p class="MsoNormal"><span class="SpellE"><font size="2" color="black" face="Calibri"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black">fm</span></font></span><font size="2" color="black"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black">
= 280;<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black">Imax = 10;<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="FR" style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black;mso-ansi-language:FR">I = Imax.*<span class="SpellE">env</span>;<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="FR" style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black;mso-ansi-language:FR">y = env.*sin(2*%pi*<span class="SpellE">fc</span>*t + I.*sin(2*%pi*<span class="SpellE">fm</span>*t));<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;color:black">sound(y, fs);<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black"><o:p> </o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black"><o:p> </o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">Kind regards,<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">Rafael<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black"><o:p> </o:p></span></font></p>
<div>
<div style="border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0in 0in 0in">
<p class="MsoNormal"><b><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;mso-fareast-font-family:"Times New Roman";color:windowtext;font-weight:bold">From:</span></font></b><font color="black"><span style="mso-fareast-font-family:"Times New Roman";color:windowtext">
users [mailto:users-bounces@lists.scilab.org] <b><span style="font-weight:bold">On Behalf Of
</span></b><span class="SpellE">Stéphane</span> <span class="SpellE">Mottelet</span><br>
<b><span style="font-weight:bold">Sent:</span></b> Saturday, November 05, 2016 2:49 PM<br>
<b><span style="font-weight:bold">To:</span></b> Users mailing list for Scilab <users@lists.scilab.org><br>
<b><span style="font-weight:bold">Subject:</span></b> Re: [Scilab-users] The sound of mathematical formulas<o:p></o:p></span></font></p>
</div>
</div>
<p><font size="3" color="black" face="Times New Roman"><span style="font-size:12.0pt">Hello,<o:p></o:p></span></font></p>
<p><font size="3" color="black" face="Times New Roman"><span style="font-size:12.0pt">Cascaded frequency modulation gives
<span class="SpellE">nices</span> sounds. For example signals like<o:p></o:p></span></font></p>
<p><font size="3" color="black" face="Times New Roman"><span style="font-size:12.0pt">sin((w0+a1*sin(w1*t))*t)<o:p></o:p></span></font></p>
<p><font size="3" color="black" face="Times New Roman"><span style="font-size:12.0pt">w1 itself can also be modulated, and so on. This kind of synthesis was used by the famous Yamaha DX-7 and gave typical sounds (bass guitar, bells, ...)<o:p></o:p></span></font></p>
<p><font size="3" color="black" face="Times New Roman"><span style="font-size:12.0pt">S.<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;mso-fareast-font-family:"Times New Roman""><o:p> </o:p></span></font></p>
<div>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;mso-fareast-font-family:"Times New Roman"">Le 05/11/2016 à 13:43, Rafael Guerra a
<span class="SpellE">écrit</span> :<o:p></o:p></span></font></p>
</div>
<blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="EN-GB" style="font-size:11.0pt;mso-ansi-language:EN-GB">Dear
<span class="SpellE">Scilab’ers</span>,</span></font><font size="2"><span style="font-size:10.0pt"><o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="EN-GB" style="font-size:11.0pt;mso-ansi-language:EN-GB"> </span><o:p></o:p></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="EN-GB" style="font-size:11.0pt;mso-ansi-language:EN-GB">Are you aware of any good references showing how to produce brief, nice and useful sounds using simple mathematical formulas?</span><o:p></o:p></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="EN-GB" style="font-size:11.0pt;mso-ansi-language:EN-GB">This is primarily out of curiosity but they could well be played using
<b style="mso-bidi-font-weight:normal"><span style="font-weight:bold;mso-bidi-font-weight:normal">sound()</span></b> or
<span class="SpellE"><b style="mso-bidi-font-weight:normal"><span style="font-weight:bold;mso-bidi-font-weight:normal">playsnd</span></b></span>() functions, and provide different sound warnings during Scilab code execution/interaction.</span></font><font size="2"><span style="font-size:10.0pt"><o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="EN-GB" style="font-size:11.0pt;mso-ansi-language:EN-GB"> </span><o:p></o:p></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="EN-GB" style="font-size:11.0pt;mso-ansi-language:EN-GB">E.g., something like but hopefully nicer to listen than the following tests:</span></font><font size="2"><span style="font-size:10.0pt"><o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="EN-GB" style="font-size:11.0pt;mso-ansi-language:EN-GB"> </span><o:p></o:p></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt">--> x=1e2:1e4; b=0.6; y=window('<span class="SpellE">hm</span>',length(x)).*sin(<span class="SpellE">x.^b</span>.*log(x)); sound(y,9944)</span></font><o:p></o:p></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt">or:<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt">--> x=1e2:1e4; b=<span class="SpellE">sqrt</span>(2); y=window('<span class="SpellE">hm</span>',length(x)).*sin(<span class="SpellE">x.^b</span>.*log(x));
sound(y,9944)</span></font><o:p></o:p></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt"> <o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt">Thanks and regards,<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt">Rafael<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt"> <o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="3" color="black" face="Times New Roman"><span style="font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:"Times New Roman""><br>
<br style="mso-special-character:line-break">
<![if !supportLineBreakNewLine]><br style="mso-special-character:line-break">
<![endif]><o:p></o:p></span></font></p>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">_______________________________________________<o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">users mailing list<o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><a href="mailto:users@lists.scilab.org">users@lists.scilab.org</a><o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><a href="http://lists.scilab.org/mailman/listinfo/users">http://lists.scilab.org/mailman/listinfo/users</a><o:p></o:p></span></font></pre>
</blockquote>
<p class="MsoNormal" style="tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt">
<font size="3" color="black" face="Times New Roman"><span style="font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:"Times New Roman""><o:p> </o:p></span></font></p>
</div>
</body>
</html>