Subject: "Harmonicity" ratio of a single note From: =?iso-8859-1?Q?Herv=E9_Lissek?= <herve.lissek@xxxxxxxx> Date: Mon, 31 Jul 2006 14:28:40 +0200This is a multi-part message in MIME format. ------=_NextPart_000_0010_01C6B4AD.9E351A60 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Dear list, =20 I am seeking for information on how to calculate the =93harmonicity=94 = or =93inharmonicity=94 ratio for a natural complex tone, being composed of = a fundamental f0 and a set of partials of this fundamental: do you know = any referenced formula for this kind of metric?=20 I would strongly appreciate your help in my research. Kind regards, =20 Herv=E9 Lissek ------=_NextPart_000_0010_01C6B4AD.9E351A60 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable <html xmlns:o=3D"urn:schemas-microsoft-com:office:office" = xmlns:w=3D"urn:schemas-microsoft-com:office:word" = xmlns=3D"http://www.w3.org/TR/REC-html40"> <head> <meta http-equiv=3DContent-Type content=3D"text/html; = charset=3Diso-8859-1"> <meta name=3DGenerator content=3D"Microsoft Word 11 (filtered medium)"> <style> <!-- /* Font Definitions */ @xxxxxxxx {font-family:Times; panose-1:2 2 6 3 5 4 5 2 3 4;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {margin:0cm; margin-bottom:.0001pt; font-size:12.0pt; font-family:"Times New Roman";} h2 {margin-top:12.0pt; margin-right:0cm; margin-bottom:3.0pt; margin-left:28.8pt; text-align:justify; text-indent:-28.8pt; page-break-after:avoid; mso-list:l0 level2 lfo3; font-size:14.0pt; font-family:"Times New Roman";} h3 {margin-top:12.0pt; margin-right:0cm; margin-bottom:3.0pt; margin-left:36.0pt; text-align:justify; text-indent:-36.0pt; page-break-after:avoid; mso-list:l0 level3 lfo3; font-size:14.0pt; font-family:"Times New Roman";} p.MsoCaption, li.MsoCaption, div.MsoCaption {margin:0cm; margin-bottom:.0001pt; font-size:10.0pt; font-family:"Times New Roman"; font-weight:bold;} a:link, span.MsoHyperlink {color:blue; text-decoration:underline;} a:visited, span.MsoHyperlinkFollowed {color:purple; text-decoration:underline;} p.MsoAutoSig, li.MsoAutoSig, div.MsoAutoSig {mso-margin-top-alt:auto; margin-right:0cm; mso-margin-bottom-alt:auto; margin-left:0cm; font-size:12.0pt; font-family:"Times New Roman";} p.StyleCaptionCentered, li.StyleCaptionCentered, = div.StyleCaptionCentered {margin:0cm; margin-bottom:.0001pt; text-align:center; font-size:10.0pt; font-family:Times; font-weight:bold;} span.EmailStyle19 {mso-style-type:personal-compose; font-family:Arial; color:windowtext;} @xxxxxxxx Section1 {size:595.3pt 841.9pt; margin:72.0pt 89.85pt 72.0pt 89.85pt;} div.Section1 {page:Section1;} /* List Definitions */ @xxxxxxxx l0 {mso-list-id:1063329404; mso-list-template-ids:1442891974;} @xxxxxxxx l0:level1 {mso-level-text:%1; mso-level-tab-stop:21.6pt; mso-level-number-position:left; margin-left:21.6pt; text-indent:-21.6pt;} @xxxxxxxx l0:level2 {mso-level-style-link:"Heading 2"; mso-level-text:"%1\.%2"; mso-level-tab-stop:28.8pt; mso-level-number-position:left; margin-left:28.8pt; text-indent:-28.8pt;} @xxxxxxxx l0:level3 {mso-level-style-link:"Heading 3"; mso-level-text:"%1\.%2\.%3"; mso-level-tab-stop:36.0pt; mso-level-number-position:left; margin-left:36.0pt; text-indent:-36.0pt;} @xxxxxxxx l0:level4 {mso-level-text:"%1\.%2\.%3\.%4"; mso-level-tab-stop:43.2pt; mso-level-number-position:left; margin-left:43.2pt; text-indent:-43.2pt;} @xxxxxxxx l0:level5 {mso-level-text:"%1\.%2\.%3\.%4\.%5"; mso-level-tab-stop:50.4pt; mso-level-number-position:left; margin-left:50.4pt; text-indent:-50.4pt;} @xxxxxxxx l0:level6 {mso-level-text:"%1\.%2\.%3\.%4\.%5\.%6"; mso-level-tab-stop:57.6pt; mso-level-number-position:left; margin-left:57.6pt; text-indent:-57.6pt;} @xxxxxxxx l0:level7 {mso-level-text:"%1\.%2\.%3\.%4\.%5\.%6\.%7"; mso-level-tab-stop:64.8pt; mso-level-number-position:left; margin-left:64.8pt; text-indent:-64.8pt;} @xxxxxxxx l0:level8 {mso-level-text:"%1\.%2\.%3\.%4\.%5\.%6\.%7\.%8"; mso-level-tab-stop:72.0pt; mso-level-number-position:left; margin-left:72.0pt; text-indent:-72.0pt;} @xxxxxxxx l0:level9 {mso-level-text:"%1\.%2\.%3\.%4\.%5\.%6\.%7\.%8\.%9"; mso-level-tab-stop:79.2pt; mso-level-number-position:left; margin-left:79.2pt; text-indent:-79.2pt;} ol {margin-bottom:0cm;} ul {margin-bottom:0cm;} --> </style> </head> <body lang=3DFR link=3Dblue vlink=3Dpurple> <div class=3DSection1> <p class=3DMsoNormal><font size=3D2 face=3DArial><span = style=3D'font-size:10.0pt; font-family:Arial'>Dear list,<o:p></o:p></span></font></p> <p class=3DMsoNormal><font size=3D2 face=3DArial><span = style=3D'font-size:10.0pt; font-family:Arial'><o:p> </o:p></span></font></p> <p class=3DMsoNormal><font size=3D2 face=3DArial><span lang=3DEN-GB = style=3D'font-size: 10.0pt;font-family:Arial'>I am seeking for information on how to = calculate the “harmonicity” or “inharmonicity” ratio for a natural complex tone, being = composed of a fundamental f<sub>0</sub> and a set of partials of this = fundamental: do you know any referenced formula for this kind of metric? = <o:p></o:p></span></font></p> <p class=3DMsoNormal><font size=3D2 face=3DArial><span lang=3DEN-GB = style=3D'font-size: 10.0pt;font-family:Arial'>I would strongly appreciate your help in my = research.<o:p></o:p></span></font></p> <p class=3DMsoNormal><font size=3D2 face=3DArial><span lang=3DEN-GB = style=3D'font-size: 10.0pt;font-family:Arial'>Kind regards,<o:p></o:p></span></font></p> <p class=3DMsoNormal><font size=3D2 face=3DArial><span lang=3DEN-GB = style=3D'font-size: 10.0pt;font-family:Arial'><o:p> </o:p></span></font></p> <p class=3DMsoNormal><font size=3D2 face=3DArial><span lang=3DEN-GB = style=3D'font-size: 10.0pt;font-family:Arial'>Herv=E9 Lissek<o:p></o:p></span></font></p> </div> </body> </html> ------=_NextPart_000_0010_01C6B4AD.9E351A60--