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zkCrH;YJh!JxL>dwLLesVL)lBM|N8g8{_o%Z!HfU;>%Z$C{^vjc`yc=D*T4VUzx*Gc K#y@Pras&WbahAOR literal 0 HcmV?d00001 diff --git a/skizzen.xopp b/xournal/skizzen.xopp similarity index 100% rename from skizzen.xopp rename to xournal/skizzen.xopp diff --git a/music_bg.pdf b/xournal/staff.pdf similarity index 100% rename from music_bg.pdf rename to xournal/staff.pdf diff --git a/music_bg_piano.pdf b/xournal/staff_piano.pdf similarity index 100% rename from music_bg_piano.pdf rename to xournal/staff_piano.pdf From 614a4ee981aec7caf352645fbca122dbdba374b3 Mon Sep 17 00:00:00 2001 From: Josia Pietsch Date: Wed, 30 Mar 2022 21:06:41 +0200 Subject: [PATCH 02/13] removed abc --- abc/README | 58 --- abc/abc.dtx | 824 ------------------------------- abc/abc.glo | 11 - abc/abc.ins | 63 --- abc/abc.pdf | Bin 267069 -> 0 bytes abc/abc.sty | 226 --------- abc/dreiecksfunktion-fourier.ggb | Bin 51751 -> 0 bytes abc/example.tex | 81 --- abc/mup.sty | 27 - abc/mupexa.tex | 76 --- abc/poll.abc | 16 - abc/simple.mup | 13 - 12 files changed, 1395 deletions(-) delete mode 100644 abc/README delete mode 100644 abc/abc.dtx delete mode 100644 abc/abc.glo delete mode 100644 abc/abc.ins delete mode 100644 abc/abc.pdf delete mode 100644 abc/abc.sty delete mode 100644 abc/dreiecksfunktion-fourier.ggb delete mode 100644 abc/example.tex delete mode 100644 abc/mup.sty delete mode 100644 abc/mupexa.tex delete mode 100644 abc/poll.abc delete mode 100644 abc/simple.mup diff --git a/abc/README b/abc/README deleted file mode 100644 index d2847d7..0000000 --- a/abc/README +++ /dev/null @@ -1,58 +0,0 @@ -The abc package lets you include lines of music written in the ABC Plus -language (http://abcplus.sourceforge.net). - -This is version 2.0b of the package (a maintenance release) - - Copyright 2005-2016 Enrico Gregorio - - This program is provided under the terms of the - LaTeX Project Public License distributed from CTAN - archives in directory macros/latex/base/lppl.txt. - - Author: Enrico Gregorio - Enrico dot Gregorio at univr dot it - - This work has the LPPL maintenance status "author-maintained". - - This work consists of the following files: - -README (this file) -abc.dtx -abc.ins -abc.pdf - - and of the derived files - -abc.sty -mup.sty -example.tex -poll.abc -mupexa.tex -simple.mup - -To install the distribution: - -o run "latex abc.ins" -o run "latex -shell-escape example.tex" for a test -o move "abc.sty" and "mup.sty" to locations where LaTeX will - find it (the FAQ on CTAN in /help/uktug-FAQ gives more - information about this magic place) - -Please note that you need, on your system, the -utilities "abcm2ps" (http://abcplus.sourceforge.net), -either "ps2eps" (which comes with TeX Live) or "ps2epsi" -(which comes with Ghostscript), and epstopdf (which -comes with TeX Live) if you use pdflatex. - -If you want to compile the Mup examples, you need the -utility "mup" (http://www.arkkra.com), along with the -Postscript utilities mentioned above. - -Note also that you must enable "shell escape" on your -TeX system via the command line switch (at least); see -your distribution's documentation. However, this is not -strictly necessary in order to use the package, see the -documentation. - -2016/05/15 -Enrico Gregorio diff --git a/abc/abc.dtx b/abc/abc.dtx deleted file mode 100644 index 25fb129..0000000 --- a/abc/abc.dtx +++ /dev/null @@ -1,824 +0,0 @@ -% \iffalse meta-comment -% -% Copyright (C) 2005-2015 by Enrico Gregorio -% -% ------------------------------------------------------- -% -% This file may be distributed and/or modified under the conditions of -% the LaTeX Project Public License, either version 1.2 of this license -% or (at your option) any later version. The latest version of this -% license is in: -% -% http://www.latex-project.org/lppl.txt -% -% and version 1.2 or later is part of all distributions of LaTeX -% version 1999/12/01 or later. -% -% \fi -% -% \iffalse -%<*driver> -\ProvidesFile{abc.dtx} -% -%\NeedsTeXFormat{LaTeX2e}[1999/12/01] -%\ProvidesPackage{abc} -%<*package> - [2016/05/15 v2.0b Enrico Gregorio] -% -%<*driver> -\documentclass{ltxdoc} -\usepackage{verbatim} -\newenvironment{smallverb}{\footnotesize\verbatim}{\endverbatim} -\EnableCrossrefs -\CodelineIndex -\RecordChanges -\begin{document} - \DocInput{abc.dtx} -\end{document} -% -% \fi -% -% \CheckSum{416} -% -% \CharacterTable -% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z -% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z -% Digits \0\1\2\3\4\5\6\7\8\9 -% Exclamation \! Double quote \" Hash (number) \# -% Dollar \$ Percent \% Ampersand \& -% Acute accent \' Left paren \( Right paren \) -% Asterisk \* Plus \+ Comma \, -% Minus \- Point \. Solidus \/ -% Colon \: Semicolon \; Less than \< -% Equals \= Greater than \> Question mark \? -% Commercial at \@ Left bracket \[ Backslash \\ -% Right bracket \] Circumflex \^ Underscore \_ -% Grave accent \` Left brace \{ Vertical bar \| -% Right brace \} Tilde \~} -% -% \changes{v2.0b}{2016/05/15}{Use shellesc} -% -% \changes{v2.0a}{2015/09/09}{Fixed gobbling of leading lines that -% start with \%} -% -% \changes{v2.0}{2008/03/03}{Many changes, in order to allow for Mup -% support; added saveall and nosaveall options} -% -% \changes{v1.1}{2007/03/27}{Added \cs{endgroup} when the warning for -% a non existent file is issued} -% -% \changes{v1.0}{2006/03/22}{After long delay decided to publish it} -% -% \changes{v0.7}{2005/11/21}{Corrected some errors from previous -% version; changed `abcinput' to support keyword-value pairs like -% the environment; added the production of a batch file when the -% `noshellescape' option is active; improved the documentation} -% -% \changes{v0.7beta}{2005/11/19}{Added the `postoptions' and `width' -% keywords} -% -% \changes{v0.6}{2005/11/18}{Changed options: erased `nix' and -% `dos', added `ps2epsidos' to correct a mistake} -% -% \changes{v0.5}{2005/11/13}{Added the interface to keyval} -% -% \changes{v0.4}{2005/11/10}{Initial version; too many things changed} -% -% \changes{v.0.1-0.3}{2005/11/01}{Very preliminar versions} -% -% \GetFileInfo{abc.dtx} -% -% \DoNotIndex{\newcommand,\newenvironment,\def,\ifpdf,\begin} -% \DoNotIndex{\DeclareOption,\ExecuteOptions,\RequirePackage} -% \DoNotIndex{\renewcommand,\else,\fi,\relax,\@bsphack,\@esphack} -% \DoNotIndex{\active,\AtEndOfPackage,\catcode,\centering} -% \DoNotIndex{\closeout,\comment,\do,\dospecials,\end,\endcomment} -% \DoNotIndex{\fbox,\gdef,\immediate,\includegraphics,\let} -% \DoNotIndex{\linewidth,\message,\newif,\newwrite,\openout} -% \DoNotIndex{\PackageWarning,\space,\the,\verbatim@line} -% \DoNotIndex{\verbatim@processline,\verbatim@start,\write} -% \DoNotIndex{\@makeother,\IfFileExists,\ProcessOptions} -% \DoNotIndex{\@ifnextchar,\define@key,\MessageBreak,\setkeys} -% \DoNotIndex{\stepcounter,\newcounter,\trivlist,\AtEndDocument} -% \DoNotIndex{\@empty,\edef,\csname,\endcsname,\edef,\begingroup} -% \DoNotIndex{\endgroup,\endtrivlist,\global,\if,\ifx,\item} -% \DoNotIndex{\PackageWarningNoLine,\PassOptionsToPackage} -% \DoNotIndex{\ProvidesPackage,\@arabic} -% -% \title{The \textsf{abc} package\thanks{This document corresponds to -% \textsf{abc}~\fileversion, dated \filedate.}} -% -% \author{Enrico Gregorio \\ \texttt{Enrico dot Gregorio at univr dot it}} -% -% \date{\filedate} -% -% \maketitle -% -% \section{Introduction} -% There are several ways to set music using \TeX{}, notably -% Musix\TeX{} and Lilypond. Both are very powerful and, -% consequently, a bit difficult to learn and to use. -% -% From the point of view of notation, the ABC -% system\footnote{\texttt{http://staffweb.cms.gre.ac.uk/\char`\~c.walshaw/abc/}} -% is much simpler. A recent extension of this language, called -% ABC~Plus\footnote{\texttt{http://abcplus.sourceforge.net}}, allows -% for setting multiple staves and polyphony. One of the best programs -% for converting these notations into sheet music is -% \texttt{abcm2ps}, which can take an ABC or ABC~Plus file and -% transform it into a PostScript\texttrademark{} file. -% -% The purpose of this package is to allow \LaTeX{} users to include in -% their documents small excerpts of music written directly in -% ABC (Plus). It exploits the \verb|\write18| technique available with -% the Web2C implementation of the \TeX{} system and free utilities -% like \texttt{ps2eps}, \texttt{ps2epsi} and \texttt{epstopdf}. From -% version 2.0b we check the existence of the \textsf{shellesc} package -% in order to be compatible with Lua\TeX. -% -% This package can be used both with \LaTeX{} and -% \textsc{pdf}\LaTeX{}, without any change in the user's source file. -% It employs also the package \textsf{keyval} by David Carlisle and -% ideas from the \textsf{verbatim} package in the \LaTeX{} tools. -% -% Martin Tarenskeen wrote me about possible support of Mup--Music -% Publisher\footnote{\texttt{http://www.arkkra.com}} and actually it -% was easy to add it along with some improvements partly suggested by -% him. Therefore the package now comes along with a new \textsf{mup} -% package; see section~\ref{mup}. I owe many thanks to Martin for -% testing the new version. -% -% We are studying whether it is feasible to extend support also to -% other music printing programs like Lilypond. -% -% \section{Usage} -% \DescribeEnv{abc} -% The only environment provided by this package is \verb|abc| with -% the following syntax: -% \begin{quote} -% \verb|\begin{abc}[|\meta{keyword}$=$\meta{value}\verb|...]|\\ -% \meta{ABC Plus material}\\ -% \verb|\end{abc}| -% \end{quote} -% The environment should be used only in LR-mode. Its output is set -% in a `center' environment. We give a list of the available -% keywords. -% \begin{description} -% -% \item[\normalfont\texttt{name=}\meta{name}:] \meta{name} is a name -% for the temporary file which will be output and massaged by -% \texttt{abcm2ps}. \emph{Warning}: the extension \texttt{.abc} is -% automatically added to the file name; esistent files with the same -% name will be silently erased. If the keyword is specified without a -% value, then the output file receives a unique name. -% -% \item[\normalfont\texttt{options=}\meta{options}:] \meta{options} -% are command line parameters to the \texttt{abcm2ps} utility; the -% default are `\texttt{-O= -c}'. -% -% \item[\normalfont\texttt{postoptions=}\meta{postoptions}:] -% \meta{postoptions} are possible command line options which, in -% \texttt{abcm2ps} syntax, go after the file name. -% -% \item[\normalfont\texttt{program=}\meta{program}:] \meta{program} is -% used to specify an alternative program to \texttt{abc2mps} (if -% existent). In this case users must specify completely the command -% line options, directly in \meta{program} or with \meta{options} and -% \meta{postoptions}. For example -% \begin{quote} -% \verb|\begin[name=song,program=abctoeps,options={-a -b}]|\\ -% \verb|\begin[name=song,program={abc3ps -a -b}]| -% \end{quote} -% (assuming there is an \texttt{abc3ps} program). -% -% \item[\normalfont\texttt{width=}\meta{width}:] \meta{width} should -% be a dimension; it is best to express it as a fraction of -% \verb|\abcwidth|. -% -% \item[\normalfont\texttt{center}:] This is a boolean, either true -% or false; the default is true, if left flush alignment is preferred, -% specify \texttt{center=false}. -% -% \item[\normalfont\texttt{extension}:] This keyword seems practically -% useless, but is needed if one needs to input both ABC and Mup files -% in one and the same document. See later on. -% \end{description} -% -% \DescribeMacro{\abcinput} -% It is also possible to input an available ABC file. The syntax is -% \begin{quote} -% \verb|\abcinput|\oarg{options}\marg{name} -% \end{quote} -% where \meta{name} is the name of the file, without the extension -% which should be \texttt{.abc}. In the optional argument users can -% put keyword-value pairs as for the environment. Of course the -% keyword \texttt{name} is ignored here. -% -% \DescribeMacro{\abcwidth} -% Users have a minimum control (at least in this version) on how to -% include some lines of music. The only parameter they can modify is -% \verb|\abcwidth| with \verb|\renewcommand|. Its normal value is -% \verb|\linewidth|. The best thing to do is -% \begin{quote} -% \verb|\renewcommand{\abcwidth}{|\meta{fraction}\verb|\linewidth}| -% \end{quote} -% where \meta{fraction} is some number between $0$ and~$1$. Changing -% this parameter affects every subsequent music inclusion, obeying to -% the usual scoping rules. The width can be changed locally for the -% environment or the command with the method explained before. -% -% \DescribeMacro{\normalabcoutputfile} -% The name for the generic output files is ``\texttt{out-abc}''. In -% the (improbable) case that some file \texttt{out-abc.}\meta{ext} is -% present in the directory, users can redefine -% \verb|\normalabcoutputfile| as they like. -% -% \section{Package options} -% There are some package options, to control what is to be passed for -% subsequent processing. -% -% \subsection{\texttt{shellescape} and \texttt{noshellescape}} -% The option \texttt{shellescape} (default) means that some external -% programs will be called by \LaTeX{} to get the inclusion of the -% music lines. If you don't trust the automatic generation, or your -% \TeX{} implementation does not allow the trick with \verb|\write18|, -% then use \texttt{noshellescape}. In this case, a name should be -% specified for every `abc' environment, because otherwise ABC output -% files will be overwritten, since they receive the same generic name, -% by default. A file named \texttt{out-abc.sh} is produced, -% containing the commands to give for elaborating the music files. -% -% \subsection{\texttt{generate} and \texttt{nogenerate}} -% With the \texttt{generate} option (default) the ABC lines will be -% processed by the external programs. The \texttt{nogenerate} option -% can be used when the ABC sources have not changed, in order to -% increase speed. Also in this case, however, a name should be -% specified for all output ABC files. -% -% \subsection{\texttt{ps2epsi}, \texttt{ps2epsidos} and -% \texttt{ps2eps}} -% The option \texttt{ps2eps} (default) means that the \texttt{ps2eps} -% Perl script will be used for generating the EPS file for graphic -% inclusion. Specify the \texttt{ps2epsi} option if you prefer the -% \texttt{ps2epsi} program; specify \texttt{ps2epsidos} if you are on -% a system where the utility \texttt{ps2epsi} generates a file with -% three letter extension \texttt{.epi}. -% -% \subsection{\texttt{nosaveall} and \texttt{saveall}} -% The first is the default, but the second is called implicitly when -% the \texttt{noshellescape} is given. When the \texttt{saveall} -% option is active, every `abc' environment produces a unique output -% file; in other words, the \texttt{name} keyword, without value, is -% given for every environment. So the \texttt{noshellescape} option -% along with \texttt{generate} will not overwrite the output from -% unnamed environment. It is possible that, during the document's -% preparation, the numbers added to the default file name are out of -% synch, the process should converge. Note that with Lua\TeX{} the -% \texttt{nosaveall} option can produce errors, so \texttt{saveall} is -% enabled by default, with this engine. -% -% -% \section{Compiling documents} -% Users must give the option \texttt{-shell-escape} when compiling -% their documents, unless they chose the \texttt{nogenerate} package -% option or the \texttt{noshellescape}. Thus one of -% \begin{quote} -% \texttt{latex -shell-escape} \meta{\TeX{} file name}\\ -% \texttt{pdflatex -shell-escape} \meta{\TeX{} file name}\\ -% \texttt{simpdftex latex --extratexopts "-shell-escape"} -% \end{quote} -% should be used from the command line (or equivalent way, depending -% on operating system and distribution). -% -% \section{An example file} -% \iffalse -%<*example> -% \fi -% \begin{smallverb} -\documentclass[a4paper,12pt]{article} -\usepackage[generate,ps2eps]{abc} -\usepackage{mathptmx} - -\begin{document} - -\title{Example of ABC Plus in \LaTeX{}} -\author{Guido Gonzato} -\date{} -\maketitle - -This is a short piece. - -\medskip - -\begin{abc} -X:4 -T:Cronin's Hornpipe -R:hornpipe -S:Keenan and Glackin -E:7 -M:C| -L:1/8 -K:G -BA|GABc dBde|gage dega|bage dBGB|cABG A2BA|! -GABc dBde|gage dega|bage dBAB|G2G2 G2:|! -fg|afd^c d2ga|bged e2ga|(3bag (3agf gedB|(3cBA AG AcBA|! -GABc dBde|~g3e dega|bage dBAB|G2G2 G2:|! -\end{abc} - -\medskip - -This is another short piece, but we would like to keep the -ABC source in our directory. - -\begin{abc}[name=jacky] -X:9 -T:Jacky Tar -R:hornpipe -M:4/4 -L:1/8 -K:Edor -(Bd) | "Em" e2 ed efge | "G" d2 B2 B2 (dB) | "D" ABde faef | d2 A2 A2 (Bd) | - "Em" e2 ef g2 fe | "G" dB GB d2 (cB) | "D" AGFE DEFA | "Em" G2 E2 E2 :| -(GA) | "Em" BGEG BGEG | BAGF E2 (FG) | "D" BGEG BGEG | AGFE D2 (EF) | - "G" GFGB g2 (fe) | dBGB d2 (cB) | "D" AGFE DEFA | "Em" G2 E2 E2 :| -\end{abc} - -\clearpage - -And, finally, we want to set also the last piece; its ABC code -is already in our directory. - -\medskip - -\abcinput{poll} - -\end{document} -% \end{smallverb} -% \iffalse -% -% \fi -% -% This file is accompanied by a file \texttt{poll.abc} -% \iffalse -%<*abc> -% \fi -% \begin{smallverb} -X:12 -T:Poll Ha'penny -T:Garra\'i na bhF\'eile\'og -R:hornpipe -H:The Irish title means "The Garden of Honeysuckles" -D:Mary Bergin: Feadoga Stain -D:Noel Hill agus Tony McMahon: I gCnoc na Grai -Z:id:hn-hornpipe-26 -M:C| -L:1/8 -K:Amix -(3GAB | =cAAG A2 (3AB=c | (3d=cB (3AGF G2 (3B^cd | ed^cA d^cAG | ~A3 G A2 de | - ~f3 d ~e3 c | d2 (3Bcd efge | aged (3=cBA GB | ~A3 G A2:| -|: ef | ~g3 f gfef | g2 ga gedg | eaag a3 g | eaag a2 ag | - ~f3 d ~e3 c | d2 (3Bcd efge | aged (3=cBA GB | ~A3 G A2 :| -% \end{smallverb} -% \iffalse -% -% \fi -% -% \section{Mup support}\label{mup} -% Everything we have said about ABC translates verbatim for Mup. -% Simply call the package with -% \iffalse -%<*verb> -% \fi -\begin{verbatim} -\usepackage{mup} -\end{verbatim} -% \iffalse -% -% \fi - -% with options just like before, and substitute the string `mup' to -% every occurrence of `abc' in the preceding sections. The only -% differences are in the default command line options when calling the -% external program (they are \texttt{-F} for `mup'). -% -% It is even possible to use both external programs in the same -% document. If this is desired, call the \textsf{abc} package and -% define a new environment for Mup inclusion as follows -% \iffalse -%<*verb> -% \fi -\begin{verbatim} -\newenvironment{mup}[1][] - {\renewcommand{\normalabcoutputfile}{out-mup}% - \abc[program=mup,options={-F},extension=mup,#1]} - {\endabc} -\newcommand{\mupinput}[2][]{% - \abcinput[program=mup,options={-F},extension=mup,#1]{#2}} -\end{verbatim} -% \iffalse -% -% \fi -% -% Here is an example with Mup. -% -% \iffalse -%<*example-mup> -% \fi -% \begin{smallverb} -\documentclass[a4paper,12pt]{article} -\usepackage[generate,ps2eps]{mup} -\usepackage{mathptmx} - -\begin{document} - -\title{Example of MUP in \LaTeX{}} -\author{Martin Tarenskeen} -\date{} -\maketitle - -This is a short piece. - -\medskip - -\begin{mup} -1: a-;b-;c;d; -bar -1: e;f;g;a; -endbar -\end{mup} - -\medskip - -This is another short piece, but we would like to keep the -MUP source in our directory. - -\begin{mup}[name=mymup] -score -staffs=2 -time=6/8 -beamstyle=4.,4. - -staff 2 -clef=bass - -music -1: 8c;d;e;f;g;a; -2: 4.ceg;cfa; -repeatend - -\end{mup} - -\clearpage - -And finally, we want to set also the last piece; its MUP code -is already in our directory. - -\medskip - -\mupinput{simple} - -\end{document} -% \end{smallverb} -% \iffalse -% -% \fi -% This file is accompanied by a file \texttt{simple.mup} -% \iffalse -%<*mup> -% \fi -% \begin{smallverb} -score -staffs=2 -time=6/8 -beamstyle=4.,4. - -staff 2 -clef=bass - -music -1: 8c;d;e;f;g;a; -2: 4.ceg;cfa; -repeatend -% \end{smallverb} -% \iffalse -% -% \fi -% -% \StopEventually{\PrintChanges\PrintIndex} -% -% \section{The implementation} -% After the usual stuff of package presentation, here are the actual -% macros. To begin with the option declarations and the defaults. -% The first options are boolean. -% \begin{macrocode} -%<*package> -\RequirePackage{ifluatex} -\newif\ifabc@shellescape -\newif\ifabc@generate -\newif\ifabc@warning -\newif\ifabc@saveall -\newif\ifabc@mup -\DeclareOption{mup}{\abc@muptrue} -\DeclareOption{noshellescape}{\abc@shellescapefalse\abc@warningtrue - \abc@savealltrue} -\DeclareOption{shellescape}{\abc@shellescapetrue} -\DeclareOption{nogenerate}{\abc@generatefalse} -\DeclareOption{generate}{\abc@generatetrue} -\DeclareOption{nosaveall}{\abc@saveallfalse} -\DeclareOption{saveall}{\abc@savealltrue} -% \end{macrocode} -% The following options control the external programs to use. -% \begin{macrocode} -\def\abc@epsext{eps} -\DeclareOption{ps2eps}{\def\abc@pscmd{ps2eps -f}} -\DeclareOption{ps2epsi}{\def\abc@pscmd{ps2epsi}\def\abc@epsext{epsi}} -\DeclareOption{ps2epsidos}{\def\abc@pscmd{ps2epsi}\def\abc@epsext{epi}} -% \end{macrocode} -% Now we declare the default options and call the user specified -% ones. Since Lua\TeX{} doesn't accept loading different PDF files -% with the same name, when this engine is used, the \texttt{saveall} -% option is enabled by default. -% \begin{macrocode} -\ExecuteOptions{generate,shellescape,nosaveall,ps2eps} -\ifluatex - \ExecuteOptions{saveall} -\fi -\ProcessOptions\relax -% \end{macrocode} -% -% Then we have to load some packages we need. The first one is to do -% verbatim output to a file without reinventing the wheel. Then the -% package for implementing keyword-value options; we have to take care -% of graphics inclusion, and to control whether we are using \LaTeX{} -% with DVI or PDF output. -% \begin{macrocode} -\RequirePackage{verbatim} -\RequirePackage{keyval} -\RequirePackage{graphicx} -\RequirePackage{ifpdf} -% \end{macrocode} -% Next we define some internal commands. First of all a boolean for -% issuing messages if necessary and a counter to assign unique names -% to output files -% \begin{macrocode} -\newif\ifabc@unprocessedfiles -\newcounter{abc@count} -% \end{macrocode} -% We choose to give explicitly the extensions to the graphics files, -% since some user could prefer \texttt{ps2epsi}. Everything is -% doubled for Mup support. -% \begin{environment}{mup} -% \begin{macro}{\mupinput} -% \begin{macrocode} -\ifabc@mup -\newcommand{\abc@cmd}{mup} % virtually no choice -\newcommand{\abc@parm}{-F} % -F MUST stay -\newcommand{\abc@epstopdfcmd}{epstopdf} -\newcommand{\abc@pdfext}{pdf} -\def\normalabcoutputfile{out-mup} -\def\normalmupoutputfile{\normalabcoutputfile} -\def\mup{\abc} -\def\endmup{\endabc} -\def\mupinput{\abcinput} -\def\abc@ext{.mup} -\def\abc@packagename{mup} -\else -\newcommand{\abc@cmd}{abcm2ps} % virtually no choice -\newcommand{\abc@parm}{-O= -c} % -O= MUST stay -\newcommand{\abc@epstopdfcmd}{epstopdf} -\newcommand{\abc@pdfext}{pdf} -\def\normalabcoutputfile{out-abc} -\def\abc@ext{.abc} -\def\abc@packagename{abc} -\fi -\def\abc@tempfile{\normalabcoutputfile} -\def\abc@opt{} -\let\abc@postopt\@empty -\ifpdf - \let\abc@finalext\abc@pdfext -\else - \let\abc@finalext\abc@epsext -\fi -\newif\ifabc@center -\abc@centertrue -% \end{macrocode} -% \end{macro} -% \end{environment} -% The following is the only parameter the user is authorized to -% tamper with; it has an alias for Mup. -% \begin{macrocode} -\newcommand{\abcwidth}{\linewidth} % only fractions of \linewidth -\let\mupwidth\abcwidth -% \end{macrocode} -% \begin{macro}{\abc@startgen} -% \begin{macro}{\abc@finishgen} -% Now something directly borrowed from the package \textsf{verbatim}. -% We declare an output stream and define two macros which will be -% called by the \texttt{abc} environment or by the \verb|\abcinput| -% command in case we are generating the graphics files. The macro -% \verb|\abc@startgen| then passes the control to \verb|\abc@process| -% which is different, according to the options given to the package. -% \begin{macrocode} -\newwrite\abc@out -\def\abc@startgen{% - \@bsphack - \immediate\openout\abc@out\abc@tempfile\abc@ext - \let\do\@makeother\dospecials - \catcode`\^^M\active \catcode`\^^I=12 - \def\verbatim@processline{% - \immediate\write\abc@out - {\the\verbatim@line}}% - \verbatim@start} -\def\abc@finishgen{% - \immediate\closeout\abc@out - \@esphack - \abc@process -} -% \end{macrocode} -% \end{macro} -% \end{macro} -% \begin{macro}{\abc@doshellcommand} -% \begin{macro}{\abc@nodoshellcommand} -% We define a macro for the external massaging of the ABC files and -% another one for the case the user doesn't trust or have available -% the \verb|\write18| trick; the second one spits out a very simple -% shell script which can be used to take care of the compilation; this -% file is probably compatible with all systems having a command line -% interface. Then we check the options again and define the commands -% that really do the job. -% \begin{macrocode} -\ifluatex - \IfFileExists{shellesc.sty} - {\RequirePackage{shellesc}\let\abc@shell\ShellEscape} - {\def\abc@shell{\immediate\write18}} -\else - \def\abc@shell{\immediate\write18} -\fi -\def\abc@doshellcommand{% - \abc@shell{% - \ifabc@mup - \abc@cmd\space - \abc@opt\space - \abc@parm\space - \abc@tempfile\abc@ext\space - \else - \abc@cmd\space - \abc@parm\space - \abc@opt\space - \abc@tempfile\abc@ext\space - \fi - \ifx\abc@postopt\@empty - \else\space\abc@postopt\fi - }% - \abc@shell{% - \abc@pscmd\space\abc@tempfile.ps - }% - \ifpdf - \abc@shell{% - \abc@epstopdfcmd\space\abc@tempfile.\abc@epsext - }% - \fi -} -\def\abc@nodoshellcommand{% -\immediate\write\abc@outsh{% - \abc@cmd\space - \abc@parm\space - \abc@opt\space - \abc@tempfile\abc@ext\space - \ifx\abc@postopt\@empty - \else\space\abc@postopt\fi}% -\immediate\write\abc@outsh{% - \abc@pscmd\space\abc@tempfile.ps}% -\ifpdf - \immediate\write\abc@outsh{% - \abc@epstopdfcmd\space\abc@tempfile.\abc@epsext}% -\fi - } -% \end{macrocode} -% We use a conditional to emit a message at the end of the -% compilation if some file has not been found and the -% \texttt{nogenerate} option was chosen. -% \begin{macrocode} -\AtEndDocument{% - \ifabc@warning\ifabc@unprocessedfiles - \PackageWarningNoLine{\abc@packagename}{% - \ifabc@shellescape - You have set the `shellescape' option, but you ran% - \MessageBreak - (pdf)latex without the `-shell-escape' command line% - \MessageBreak - option. Fix it either with the `noshellescape' option% - \MessageBreak - in your document or the correct call of (pdf)latex% - \else - Remember to generate the [eps,pdf] files before compiling% - \MessageBreak - again. Use the file \abc@tempfile.sh for a list or as a script% - \fi}% - \fi\fi} -% \end{macrocode} -% \end{macro} -% \end{macro} -% Now we define the macro responsible for the massaging of the ABC -% files. This is a good moment for inizializing the writing of the -% shell script, when needed. -% \begin{macro}{\abc@process} -% \begin{macrocode} -\ifabc@shellescape - \let\abc@process\abc@doshellcommand -\else - \newwrite\abc@outsh - \immediate\openout\abc@outsh\abc@tempfile.sh - \AtEndDocument{\closeout\abc@outsh} - \let\abc@process\abc@nodoshellcommand -\fi -% \end{macrocode} -% \end{macro} -% \begin{macro}{\abc@start} -% \begin{macro}{\abc@finish} -% We now define how to start and finish; if no generation is required, -% the ABC lines are skipped like a comment (thanks again to the -% \textsf{verbatim} package). -% \begin{macrocode} -\ifabc@generate - \let\abc@start\abc@startgen - \let\abc@finish\abc@finishgen -\else - \let\abc@start\comment - \let\abc@finish\endcomment -\fi -% \end{macrocode} -% \end{macro} -% \end{macro} -% \begin{environment}{abc} -% \begin{macro}{\abcinput} -% Finally, we define the environment and the command. Some commands -% are initialized here; the name of the temporary file is, by default, -% ``out-abc'' which should not clobber any existing file. -% \begin{macrocode} -\def\abc{\@makeother\%\@ifnextchar[\abc@grab{\abc@grab[]}} -\define@key{abc}{name}[]{% - \if!#1!\stepcounter{abc@count}% - \edef\abc@tempfile{\normalabcoutputfile-\@arabic\c@abc@count}% - \else - \def\abc@tempfile{#1}% - \fi -} -\define@key{abc}{options}{\def\abc@opt{#1}} -\define@key{abc}{postoptions}{\def\abc@postopt{#1}} -\define@key{abc}{program}{\def\abc@cmd{#1}\let\abc@parm\@empty} -\define@key{abc}{width}{\def\abc@width{#1}} -\define@key{abc}{center}[true]{\csname abc@center#1\endcsname} -\define@key{abc}{extension}{\def\abc@ext{.#1}} -\def\abc@grab[#1]{\let\abc@width=\abcwidth - \ifabc@saveall - \setkeys{abc}{name,#1}% - \else - \setkeys{abc}{#1}% - \fi\abc@start} -% \end{macrocode} -% The final part of the environment; we do the processing, if -% required and then include the graphics file. If none is found, the -% simple name is used, to recall that some processing is to be done. -% \begin{macrocode} -\def\endabc{% - \abc@finish - \trivlist\item[]\ifabc@center\centering\fi - \IfFileExists{\abc@tempfile.\abc@finalext} - {\includegraphics[width=\abc@width]{\abc@tempfile.\abc@finalext}}% - {\global\abc@warningtrue\fbox{\abc@tempfile}% - \global\abc@unprocessedfilestrue}% - \endtrivlist -} -% \end{macrocode} -% The command version is similar. The only difference is that we -% issue a warning if the named file does not exist. -% \begin{macrocode} -\def\abcinput{\@ifnextchar[\abc@grabinput{\abc@grabinput[]}} -\def\abc@grabinput[#1]#2{\let\abc@width=\abcwidth\setkeys{abc}{#1}% - \begingroup\def\abc@tempfile{#2}% - \IfFileExists{\abc@tempfile\abc@ext} - {% - \abc@process - \begin{center} - \IfFileExists{\abc@tempfile.\abc@finalext} - {\includegraphics[width=\abc@width]{\abc@tempfile.\abc@finalext}}% - {\fbox{\abc@tempfile}}% - \end{center}% - \endgroup - } - {\PackageWarning{\abc@packagename}{No file \abc@tempfile\abc@ext\space found}}% -} -% -% \end{macrocode} -% \end{macro} -% \end{environment} -% \begin{macrocode} -%<*package-mup> -\ProvidesPackage{mup} -\DeclareOption*{\PassOptionsToPackage{\CurrentOption}{abc}} -\ProcessOptions\relax -\RequirePackage[mup]{abc} -% -% \end{macrocode} -% \Finale diff --git a/abc/abc.glo b/abc/abc.glo deleted file mode 100644 index aa8e89c..0000000 --- a/abc/abc.glo +++ /dev/null @@ -1,11 +0,0 @@ -\glossaryentry{v2.0b> =General:>Use shellesc}{1} -\glossaryentry{v2.0a> =General:>Fixed gobbling of leading lines that start with \%}{1} -\glossaryentry{v2.0> =General:>Many changes, in order to allow for Mup support; added saveall and nosaveall options}{1} -\glossaryentry{v1.1> =General:>Added \cs {endgroup} when the warning for a non existent file is issued}{1} -\glossaryentry{v1.0> =General:>After long delay decided to publish it}{1} -\glossaryentry{v0.7> =General:>Corrected some errors from previous version; changed `abcinput' to support keyword-value pairs like the environment; added the production of a batch file when the `noshellescape' option is active; improved the documentation}{1} -\glossaryentry{v0.7beta> =General:>Added the `postoptions' and `width' keywords}{1} -\glossaryentry{v0.6> =General:>Changed options: erased `nix' and `dos', added `ps2epsidos' to correct a mistake}{1} -\glossaryentry{v0.5> =General:>Added the interface to keyval}{1} -\glossaryentry{v0.4> =General:>Initial version; too many things changed}{1} -\glossaryentry{v.0.1-0.3> =General:>Very preliminar versions}{1} diff --git a/abc/abc.ins b/abc/abc.ins deleted file mode 100644 index 085dc59..0000000 --- a/abc/abc.ins +++ /dev/null @@ -1,63 +0,0 @@ -%% -%% abc.ins -%% Copyright 2006-2016 Enrico Gregorio -%% -%% This program is provided under the terms of the -%% LaTeX Project Public License distributed from CTAN -%% archives in directory macros/latex/base/lppl.txt. -%% -%% Author: Enrico Gregorio -%% Enrico dot Gregorio at univr dot it -%% -%% This work has the LPPL maintenance status "author-maintained". -%% -%% This file will generate fast loadable files and documentation -%% driver files from the doc files in this package when run through -%% LaTeX or TeX. -%% -%% --------------- start of docstrip commands ------------------ -%% -\input docstrip -\preamble - - Copyright 2006-2016 Enrico Gregorio - - This program is provided under the terms of the - LaTeX Project Public License distributed from CTAN - archives in directory macros/latex/base/lppl.txt. - - Author: Enrico Gregorio - Enrico dot Gregorio at univr dot it - - This work has the LPPL maintenance status "author-maintained". - -\endpreamble - -\keepsilent -\askforoverwritefalse - -\Msg{*** Generating the package files ***} -\generate{\file{abc.sty}{\from{abc.dtx}{package}}% - \file{example.tex}{\from{abc.dtx}{example}}% - \file{mup.sty}{\from{abc.dtx}{package-mup}}% - \file{mupexa.tex}{\from{abc.dtx}{example-mup}}% - \nopreamble\nopostamble - \file{poll.abc}{\from{abc.dtx}{abc}}% - \file{simple.mup}{\from{abc.dtx}{mup}}% - } - -\Msg{***********************************************************} -\Msg{*} -\Msg{* To finish the installation you have to move the following} -\Msg{* files into a directory searched by TeX:} -\Msg{*} -\Msg{* \space\space abc.sty} -\Msg{*} -\Msg{*} -\Msg{* To produce the documentation on abc's code run the} -\Msg{* file ending with `.dtx' through (pdf)LaTeX.} -\Msg{*} -\Msg{* Happy TeXing} -\Msg{***********************************************************} - -\endbatchfile diff --git a/abc/abc.pdf b/abc/abc.pdf deleted file mode 100644 index 41b67656217824c7903d5eafeabf5bd45f546a7f..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 267069 zcmb5VQ+F;<)3q6M$F^-JJGO1xcJA1=ZQJIKZQHip@7LXD?=wa}y^huos4?eNHLJ)J zM8xQr=-FV%=9Y%nU|0wl3GI!nV0d_77-UTC%v~%9nc10H2>CQ$ar}B26B!h!uBRX?S~^|-kd9$p z?X4wFJw^bzFfS#QAevAJmw-+_qt>86zAu|MsPLKM)ajH|A{26NRYXGMIuhkqnb}yr ziW6h}v#>VWNoBobvt;9p8^yX<6|+Rla_;R+T4d0bD!A?FMH-w7?Zm&Ke(ZdR@hF9o zyp3EYN$p~$h64^4maB+1@x~r)XL__AgdROdZuU|vDUw{iOfDsYZMj3TibJJ}`qiRk zjpYJ2P8DRU?_#P8xDKn5F=>d5kP0U$kx0R1Xlkg=%*K(N+c<5J0^L0F%H>kz&^Nv) zIZl|VYHGo|<(fIqz>!oYJyHMbT)f&anFFl1=&p{S@{^WD;hR&z!uQ3=YQ@_5>N<+0fM6ygy#e@6WigX#1;CM%Zz}|Xy@yubl*CENi8uGodUP)%(uXb2mWZzaaSl%*QHHu#V z>4a_3Iri$+RYC=)xUVu>ve zD!ODCa@B<_b+@Q1XKa&Rlg9r?)RU^O2^Vd2@Olu~tz|KjMRK8BX<(OTvTE!4aB?+f zq-WD?b4JAz(O%-p>i-etodq 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-%% -%% The original source files were: -%% -%% abc.dtx (with options: `package') -%% -%% Copyright 2006-2016 Enrico Gregorio -%% -%% This program is provided under the terms of the -%% LaTeX Project Public License distributed from CTAN -%% archives in directory macros/latex/base/lppl.txt. -%% -%% Author: Enrico Gregorio -%% Enrico dot Gregorio at univr dot it -%% -%% This work has the LPPL maintenance status "author-maintained". -%% -\NeedsTeXFormat{LaTeX2e}[1999/12/01] -\ProvidesPackage{abc} - [2016/05/15 v2.0b Enrico Gregorio] - -\RequirePackage{ifluatex} -\newif\ifabc@shellescape -\newif\ifabc@generate -\newif\ifabc@warning -\newif\ifabc@saveall -\newif\ifabc@mup -\DeclareOption{mup}{\abc@muptrue} -\DeclareOption{noshellescape}{\abc@shellescapefalse\abc@warningtrue - \abc@savealltrue} -\DeclareOption{shellescape}{\abc@shellescapetrue} -\DeclareOption{nogenerate}{\abc@generatefalse} -\DeclareOption{generate}{\abc@generatetrue} -\DeclareOption{nosaveall}{\abc@saveallfalse} -\DeclareOption{saveall}{\abc@savealltrue} -\def\abc@epsext{eps} -\DeclareOption{ps2eps}{\def\abc@pscmd{ps2eps -f}} -\DeclareOption{ps2epsi}{\def\abc@pscmd{ps2epsi}\def\abc@epsext{epsi}} -\DeclareOption{ps2epsidos}{\def\abc@pscmd{ps2epsi}\def\abc@epsext{epi}} -\ExecuteOptions{generate,shellescape,nosaveall,ps2eps} -\ifluatex - \ExecuteOptions{saveall} -\fi -\ProcessOptions\relax -\RequirePackage{verbatim} -\RequirePackage{keyval} -\RequirePackage{graphicx} -\RequirePackage{ifpdf} -\newif\ifabc@unprocessedfiles -\newcounter{abc@count} -\ifabc@mup -\newcommand{\abc@cmd}{mup} % virtually no choice -\newcommand{\abc@parm}{-F} % -F MUST stay -\newcommand{\abc@epstopdfcmd}{epstopdf} -\newcommand{\abc@pdfext}{pdf} -\def\normalabcoutputfile{out-mup} -\def\normalmupoutputfile{\normalabcoutputfile} -\def\mup{\abc} -\def\endmup{\endabc} -\def\mupinput{\abcinput} -\def\abc@ext{.mup} -\def\abc@packagename{mup} -\else -\newcommand{\abc@cmd}{abcm2ps} % virtually no choice -\newcommand{\abc@parm}{-O= -c} % -O= MUST stay -\newcommand{\abc@epstopdfcmd}{epstopdf} -\newcommand{\abc@pdfext}{pdf} -\def\normalabcoutputfile{out-abc} -\def\abc@ext{.abc} -\def\abc@packagename{abc} -\fi -\def\abc@tempfile{\normalabcoutputfile} -\def\abc@opt{} -\let\abc@postopt\@empty -\ifpdf - \let\abc@finalext\abc@pdfext -\else - \let\abc@finalext\abc@epsext -\fi -\newif\ifabc@center -\abc@centertrue -\newcommand{\abcwidth}{\linewidth} % only fractions of \linewidth -\let\mupwidth\abcwidth -\newwrite\abc@out -\def\abc@startgen{% - \@bsphack - \immediate\openout\abc@out\abc@tempfile\abc@ext - \let\do\@makeother\dospecials - \catcode`\^^M\active \catcode`\^^I=12 - \def\verbatim@processline{% - \immediate\write\abc@out - {\the\verbatim@line}}% - \verbatim@start} -\def\abc@finishgen{% - \immediate\closeout\abc@out - \@esphack - \abc@process -} -\ifluatex - \IfFileExists{shellesc.sty} - {\RequirePackage{shellesc}\let\abc@shell\ShellEscape} - {\def\abc@shell{\immediate\write18}} -\else - \def\abc@shell{\immediate\write18} -\fi -\def\abc@doshellcommand{% - \abc@shell{% - \ifabc@mup - \abc@cmd\space - \abc@opt\space - \abc@parm\space - \abc@tempfile\abc@ext\space - \else - \abc@cmd\space - \abc@parm\space - \abc@opt\space - \abc@tempfile\abc@ext\space - \fi - \ifx\abc@postopt\@empty - \else\space\abc@postopt\fi - }% - \abc@shell{% - \abc@pscmd\space\abc@tempfile.ps - }% - \ifpdf - \abc@shell{% - \abc@epstopdfcmd\space\abc@tempfile.\abc@epsext - }% - \fi -} -\def\abc@nodoshellcommand{% -\immediate\write\abc@outsh{% - \abc@cmd\space - \abc@parm\space - \abc@opt\space - \abc@tempfile\abc@ext\space - \ifx\abc@postopt\@empty - \else\space\abc@postopt\fi}% -\immediate\write\abc@outsh{% - \abc@pscmd\space\abc@tempfile.ps}% -\ifpdf - \immediate\write\abc@outsh{% - \abc@epstopdfcmd\space\abc@tempfile.\abc@epsext}% -\fi - } -\AtEndDocument{% - \ifabc@warning\ifabc@unprocessedfiles - \PackageWarningNoLine{\abc@packagename}{% - \ifabc@shellescape - You have set the `shellescape' option, but you ran% - \MessageBreak - (pdf)latex without the `-shell-escape' command line% - \MessageBreak - option. Fix it either with the `noshellescape' option% - \MessageBreak - in your document or the correct call of (pdf)latex% - \else - Remember to generate the [eps,pdf] files before compiling% - \MessageBreak - again. Use the file \abc@tempfile.sh for a list or as a script% - \fi}% - \fi\fi} -\ifabc@shellescape - \let\abc@process\abc@doshellcommand -\else - \newwrite\abc@outsh - \immediate\openout\abc@outsh\abc@tempfile.sh - \AtEndDocument{\closeout\abc@outsh} - \let\abc@process\abc@nodoshellcommand -\fi -\ifabc@generate - \let\abc@start\abc@startgen - \let\abc@finish\abc@finishgen -\else - \let\abc@start\comment - \let\abc@finish\endcomment -\fi -\def\abc{\@makeother\%\@ifnextchar[\abc@grab{\abc@grab[]}} -\define@key{abc}{name}[]{% - \if!#1!\stepcounter{abc@count}% - \edef\abc@tempfile{\normalabcoutputfile-\@arabic\c@abc@count}% - \else - \def\abc@tempfile{#1}% - \fi -} -\define@key{abc}{options}{\def\abc@opt{#1}} -\define@key{abc}{postoptions}{\def\abc@postopt{#1}} -\define@key{abc}{program}{\def\abc@cmd{#1}\let\abc@parm\@empty} -\define@key{abc}{width}{\def\abc@width{#1}} -\define@key{abc}{center}[true]{\csname abc@center#1\endcsname} -\define@key{abc}{extension}{\def\abc@ext{.#1}} -\def\abc@grab[#1]{\let\abc@width=\abcwidth - \ifabc@saveall - \setkeys{abc}{name,#1}% - \else - \setkeys{abc}{#1}% - \fi\abc@start} -\def\endabc{% - \abc@finish - \trivlist\item[]\ifabc@center\centering\fi - \IfFileExists{\abc@tempfile.\abc@finalext} - {\includegraphics[width=\abc@width]{\abc@tempfile.\abc@finalext}}% - {\global\abc@warningtrue\fbox{\abc@tempfile}% - \global\abc@unprocessedfilestrue}% - \endtrivlist -} -\def\abcinput{\@ifnextchar[\abc@grabinput{\abc@grabinput[]}} -\def\abc@grabinput[#1]#2{\let\abc@width=\abcwidth\setkeys{abc}{#1}% - \begingroup\def\abc@tempfile{#2}% - \IfFileExists{\abc@tempfile\abc@ext} - {% - \abc@process - \begin{center} - \IfFileExists{\abc@tempfile.\abc@finalext} - {\includegraphics[width=\abc@width]{\abc@tempfile.\abc@finalext}}% - {\fbox{\abc@tempfile}}% - \end{center}% - \endgroup - } - {\PackageWarning{\abc@packagename}{No file \abc@tempfile\abc@ext\space found}}% -} -\endinput -%% -%% End of file `abc.sty'. diff --git 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The [latest version][1] is availabe as a pdf download via GitLab runner. 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2022-musiktheorie/musiktheorie.log -[3]: 2022-musiktheorie/ +Die Notizen sind unvollständig und enthalten vermutlich einige Fehler. + + + +Die neuste Version ist [hier][1] als pdf verfügbar. + +[1]: https://jrpie-notes.gitlab.io/cde/2022-musiktheorie/musiktheorie.pdf From f8f8227e5074522e1789e2d61d7d025e2ad97798 Mon Sep 17 00:00:00 2001 From: Josia Pietsch Date: Wed, 30 Mar 2022 22:11:55 +0200 Subject: [PATCH 06/13] README --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index d3ac385..f6e77e4 100644 --- a/README.md +++ b/README.md @@ -13,4 +13,4 @@ Die Notizen sind unvollständig und enthalten vermutlich einige Fehler. 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zf0#KUcz?yjYwqO0XRE`9qNwxz%hA8!x2XOLfE&lAW=?Ld68G=_K8y38y#Hky)DNh6 z1W>n!8i}IF^%idCmT(C+In^fsIU6U0>u)G)0EAaah!@Dl_xpYQ7k8*!{^zJs3-Ei` z;wT+a6k^`i%2OKEwE+qOqEY}9-~kD1@PkDKMMObBE+D@s5Gc;~H%-)Hp-iPv%^gt9 z9{vZ@KWYBS)CsPET0-a(6gFNJg^fooBnb8S&Dk%D-xb99ZqoUu`~4p?VCt--^#9L+ zgTqZx-ROx*JDI!PK%C{JCD`2DY%N4lCC?8M60qR06cR+07rzyl2gNA{@&HYN<`AH; zrMW3s@PAzl3-dqXaCU>kewCetIiDrW^2Q|swI2MaKrGBft(@Qvrmm>McXmc$jeqs> z;6qgf8&n+iqpPhe%o6&ms2{>ye;dGTZ^}y)X6k4y!REnZVQFRR26JVDYC8VXw)ib~ zFk9$vgI{)h|DNkVWcHT`wP{dE=KEtyLU95AN7w(|ME`ycp$;8Lu({tnW&Uye;7_Fc zf9)*x|GcqKocdoyhuXe3CCx64Dt{0NC;$@X2Mdb)+6rtyAR9^zwPpT`#_!e3{FEW1cFQWWkWI%qPz(0KOgHZ7DzuE%%1%dz6 z6N3Cx4-EcCd>~?f()VKUf6SF5<5;AV>i8Pai_yzvmQ$!sh=; z&lPTp;(NnUO>Y2v>b72%sC5JIsW~~J`g+`)_yF+9J6bsbezgoioidRI=!?sWK=@?@ zr1^zqW%yA?Q3M`76as=#oO6*!f`X60U;*fV*D$*%g}eSL7LYJd5Y_63MMgyy G_x}NXfW|Wb From 1d2e67b85c274192cf5a804f07cea7d5814a31c8 Mon Sep 17 00:00:00 2001 From: Josia Pietsch Date: Thu, 31 Mar 2022 00:15:26 +0200 Subject: [PATCH 08/13] table float --- inputs/intervalle.tex | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/inputs/intervalle.tex b/inputs/intervalle.tex index 38640e4..fcf5734 100644 --- a/inputs/intervalle.tex +++ b/inputs/intervalle.tex @@ -23,7 +23,7 @@ -\begin{table} %[htpb] +\begin{table}[htpb] \centering \caption{Obertöne} \label{tab:obertoene} @@ -57,9 +57,9 @@ \begin{observe} $\frac{9}{8} = \frac{10}{9}$ ??? \end{observe} -Es ergeben sich außerdem +Es ergeben sich außerdem: -\begin{table} %[htpb] +\begin{table}[htpb] \centering \caption{Intervalle} \label{tab:intervale} @@ -124,14 +124,14 @@ Um kleinere Tonabstände beschreiben zu können definieren wir ferner: %\end{abc} -[todo]: C-Dur-Tonleiter +TODO: C-Dur-Tonleiter Ein Dur-Akkord besteht aus einer großen und einer kleinen Terz, d.h. die Töne haben Frequenzverhältnisse von $1, \frac{5}{4}, \frac{5}{4} \cdot \frac{6}{5} = \frac{6}{4}$. \end{definition} \begin{definition}[Moll] -[todo]: C-Moll-Tonleiter +TODO: C-Moll-Tonleiter Ein Moll-Akkord besteht aus einer kleinen und einer großen Terz, d.h. die Töne haben Frequenzverhältnisse von $1, \frac{6}{5}, \frac{3}{2}$. \end{definition} From c4fbcf86bd3a64bfabd29a3596c3757672edb974 Mon Sep 17 00:00:00 2001 From: Josia Pietsch Date: Thu, 31 Mar 2022 14:35:13 +0200 Subject: [PATCH 09/13] cancel --- inputs/akkorde.tex | 10 +++++----- musiktheorie.sty | 1 + 2 files changed, 6 insertions(+), 5 deletions(-) diff --git a/inputs/akkorde.tex b/inputs/akkorde.tex index 52ec59d..bcbc4aa 100644 --- a/inputs/akkorde.tex +++ b/inputs/akkorde.tex @@ -72,7 +72,7 @@ TODO: Noten f c es? - $F_{3\!\!\!/}^7$ + $F_{\cancel{3}}^7$ \end{example} \begin{example} @@ -88,7 +88,7 @@ Der Akkord $5:6:7$ wird als \vocab{verminderter Akkord} bezeichnet. TODO: Noten a c es? - $F\!\!\!\!/^7$ + $\cancel{F}^7$ \end{example} @@ -147,15 +147,15 @@ TODO: Noten e g h cis - $C\!\!\!\!/\,\,\,^{\text{maj}7,>8}$ + $\cancel{C}^{\text{maj}7,>8}$ $12 : 17$ ist ein Tritonus (etwas größer als $\sqrt{2} $). - Mit Oktavreduktion\footnote{Es handelt sich nicht wirklich um Oktavreduktion, das Verhältnis ändert sich. ($10 : 12 : 15 : 17 \neq 6: 7 : 9 : 10 (A\!\!\!/\,\,^{7,9}/E$)} lässt sich der Akkord umschreiben zu + Mit Oktavreduktion\footnote{Es handelt sich nicht wirklich um Oktavreduktion, das Verhältnis ändert sich. ($10 : 12 : 15 : 17 \neq 6: 7 : 9 : 10 (\cancel{A}^{7,9}/E$)} lässt sich der Akkord umschreiben zu TODO: Noten cis e g h - ($5:6:7:9$, $A\!\!\!/^{7,9}$, kein Sixte ajout\'ee) + ($5:6:7:9$, $\cancel{A}^{7,9}$, kein Sixte ajout\'ee) \end{example} diff --git a/musiktheorie.sty b/musiktheorie.sty index 2d75991..bb8cf98 100644 --- a/musiktheorie.sty +++ b/musiktheorie.sty @@ -11,3 +11,4 @@ \RequirePackage{todonotes} \RequirePackage{listing} \RequirePackage{wasysym} +\RequirePackage{cancel} From 7c305709c4f78cd212b425754f7256af22e1f94d Mon Sep 17 00:00:00 2001 From: Josia Pietsch Date: Thu, 31 Mar 2022 15:20:59 +0200 Subject: [PATCH 10/13] code --- code/akkorde.py | 82 +++++++++++++++++++++++++++++++++++++++++++++ inputs/appendix.tex | 4 +-- musiktheorie.sty | 25 ++++++++++++++ 3 files changed, 108 insertions(+), 3 deletions(-) create mode 100644 code/akkorde.py diff --git a/code/akkorde.py b/code/akkorde.py new file mode 100644 index 0000000..7829114 --- /dev/null +++ b/code/akkorde.py @@ -0,0 +1,82 @@ +import numpy as np +from matplotlib import pyplot as plt +from scipy.fft import fft, ifft +from IPython.display import Audio, display +from scipy.io import wavfile +from ipywidgets import widgets +from functools import partial +import pandas as pd +from fractions import Fraction + +def create_signal(frequency, amplitude, delay, phase=0, sampling=44100, seconds=1.0): + timesteps = np.linspace(0,seconds, int(seconds * sampling)) + # return np.sum(amplitude * np.sin(frequency * 2*np.pi * (timesteps[:, np.newaxis]-delay)*(timesteps[:, np.newaxis]-delay > 0)), axis=1), timesteps + return np.sum(amplitude * triangle(frequency, (timesteps[:, np.newaxis]-delay)*(timesteps[:, np.newaxis]-delay > 0)), axis=1), timesteps + +def create_waves(frequency, amplitude, phase=0, sampling=44100, seconds=1.0): + timesteps = np.linspace(0,seconds, int(seconds * sampling)) + # return amplitude * np.sin(frequency * 2*np.pi * timesteps[:, np.newaxis]), timesteps + return amplitude * triangle(frequency, timesteps[:, np.newaxis]), timesteps + +def triangle(frequency, t): + phase = (t * frequency + 0.25) % 1 - 0.25 + return (phase <= 0.25) * phase + (phase > 0.25) * (0.5 - phase) + +def nonlinearity(x, param=1.0): # param for scaling of argument; higher values = more nonlinearity + #return np.exp(x*param) + return np.sign(x)*np.log(1+np.abs(x*param)) + +def myAudio(signal, rate=44100, autoplay=False, time_fade=0.2): + length = signal.shape[0] + print(length) + fade = np.minimum(np.ones(length),np.arange(length)/(time_fade * rate)) + return Audio(signal * fade * fade[::-1],rate=rate,autoplay=autoplay) + +#frequency = np.array([100., 200., 300, 400]) + +#frequency_edo12 = 220 * 2**(np.array([5,8,12,14])/12) +#frequency_edo53 = 220 * 2**(np.array([22,36,53,62])/53) +#frequency_edo53 = 220 * 2**(np.array([22,34,53,61])/53) +#frequency_rein1 = 220 * 4/3 * np.array([1, 7/6, 9/6, 10/6]) +#frequency_rein2 = 220 * 4/3 * np.array([1, 12/10, 15/10, 17/10]) +dursept_edo12 = 220 * 2**(np.array([5,9,12,15])/12) # Durseptakkord in EDO12 +dursept_edo53 = 220 * 2**(np.array([22,39,53,65])/53) # Dursept in EDO53 +dursept_rein = 220 * 4/3 * np.array([1, 5/4, 6/4, 7/4]) # Dursept rein +mollsept_edo12 = 220 * 2**(np.array([5,8,12,14])/12) # Mollseptakkord in EDO12 +mollsept_edo53 = 220 * 2**(np.array([22,36,53,63])/53) # Mollseptakkord in EDO53 +mollsept_rein = 220 * 4/3 * np.array([1, 12/10, 15/10, 17/10]) # Mollsept rein +doppeltritone_rein = 220 * 4/3 * np.array([1, 12/10, 14/10, 17/10]) # doppeltritone rein +doppeltritone_edo53 = 220 * 2**(np.array([22,36,48,63])/53) # doppeltritone in EDO53 + +amplitude = np.array([1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]) +delay = np.array([0.0,0.2,0.4,0.6,0.8,1.0,1.2]) + +# list of chords to display. +# chords = [dursept_edo12, dursept_edo53, dursept_rein, ] +# chords = [mollsept_edo12, mollsept_edo53, mollsept_rein, ] +chords = [doppeltritone_rein, doppeltritone_edo53, ] + +to_display = [] +for chord in chords: + notes = len(chord) + signal, timesteps = create_signal(frequency=chord, amplitude=amplitude[:notes], delay=delay[:notes], phase=0, sampling=44100, seconds=5.0) + to_display.append(signal) + +max_play_time = 2.0 +for signal in to_display: + display(myAudio(signal[timesteps < max_play_time],rate=44100, autoplay=False)) + +plot_time = 1.0 + +plt.figure(1, figsize=(20,6)) +plt.xlabel("time [s]") +for signal in to_display: + plt.plot(timesteps[timesteps < plot_time], (1*signal[timesteps < plot_time])) + +plt.figure(2, figsize=(40,6)) +plt.subplot(111, xscale='log', yscale='log') +plt.xlabel("Frequenz [Hz]") +plt.xlim(200,5000) +plt.ylim(bottom=1e-1, top=1e4) +for signal in to_display: + plt.plot(np.abs(fft(nonlinearity(signal[timesteps > 1.0], 0.1)))) diff --git a/inputs/appendix.tex b/inputs/appendix.tex index 448aafd..6d418fc 100644 --- a/inputs/appendix.tex +++ b/inputs/appendix.tex @@ -1,3 +1 @@ -\begin{listing} -TODO: Code einfügen -\end{listing} +\lstinputlisting[language=Python]{code/akkorde.py} diff --git a/musiktheorie.sty b/musiktheorie.sty index bb8cf98..41b3465 100644 --- a/musiktheorie.sty +++ b/musiktheorie.sty @@ -12,3 +12,28 @@ \RequirePackage{listing} \RequirePackage{wasysym} \RequirePackage{cancel} +\RequirePackage{listings} + +\definecolor{KeywordColor}{cmyk}{0.64,0,0.95,0.40} %TODO +\definecolor{mGray}{rgb}{0.5,0.5,0.5} +\definecolor{mOrange}{rgb}{0.9,0.53,0.35} + +\lstset{ + language=Python, % Code langugage + basicstyle=\ttfamily, % Code font, Examples: \footnotesize, \ttfamily + keywordstyle=\color{KeywordColor}, % Keywords font ('*' = uppercase) + commentstyle=\color{mGray}, % Comments font + numberstyle=\tiny\color{mGray}, + stepnumber=1, % Step between two line-numbers + numbersep=5pt, % How far are line-numbers from code + frame=none, % A frame around the code + tabsize=2, % Default tab size + captionpos=b, % Caption-position = bottom + breaklines=true, % Automatic line breaking? + breakatwhitespace=false, % Automatic breaks only at whitespace? + showspaces=false, % Dont make spaces visible + showtabs=false, % Dont make tabls visible + columns=flexible, % Column format + stringstyle=\color{mOrange}, + escapeinside={/*!}{!*/}, +} From 6596e346d020d2f3b50630c009d446c3a5184d8a Mon Sep 17 00:00:00 2001 From: Josia Pietsch Date: Thu, 31 Mar 2022 15:22:04 +0200 Subject: [PATCH 11/13] Rechtschreibfehler korrigiert --- inputs/akkorde.tex | 6 ++---- inputs/intervalle.tex | 23 +++++++++-------------- inputs/modulation.tex | 10 +++++++--- inputs/uebersicht.tex | 12 ++++-------- 4 files changed, 22 insertions(+), 29 deletions(-) diff --git a/inputs/akkorde.tex b/inputs/akkorde.tex index bcbc4aa..38a6a2f 100644 --- a/inputs/akkorde.tex +++ b/inputs/akkorde.tex @@ -165,15 +165,13 @@ \end{question} -\todo{Jupyter Notebook (Appendix?)} \paragraph{Exkurs: Kirchenglocken} Es ist Sonntag, daher läuten gerade Kirchenglocken. Hier kann man den \vocab{Dopplereffekt} hören. \begin{remark} - Diese Sichtweise ist stark geprägt von Akkorden. Wenn man Melodien intoniert, so kommt man teilweise zu gegensätzlichen Ergebnissen. Auf der Geige ist beispielsweise ein $g\sharp$ höher als $a\flat$. - + Unsere Sichtweise ist stark geprägt von Akkorden. Wenn man Melodien intoniert, so kommt man teilweise zu gegensätzlichen Ergebnissen. Auf der Geige wird beispielsweise ein $g\sharp$ oft höher gespielt als ein $a\flat$. Siehe auch ``How equal temperament ruined harmony'' S. 47 und 78. \end{remark} @@ -197,7 +195,7 @@ TODO: c-Dur Tonleiter mit reinen Dur-Akkorden \label{cdurrein} \end{table} -Bei Einteilung eines Ganztones ist großen und kleinen Halbton ergeben sich als Schritte $9+8+5+9+8+9+5= 53$. +Bei Einteilung eines Ganztons ist großen und kleinen Halbton ergeben sich als Schritte $9+8+5+9+8+9+5= 53$. \todo{EDO12 Tonleiter vs Tonleiter mit reinen Akkorden ausprobieren} diff --git a/inputs/intervalle.tex b/inputs/intervalle.tex index fcf5734..fba66c2 100644 --- a/inputs/intervalle.tex +++ b/inputs/intervalle.tex @@ -107,7 +107,7 @@ Um kleinere Tonabstände beschreiben zu können definieren wir ferner: \end{definition} \begin{remark} - Ein Unterschied von $10ct.$ ist hörbar, im direkten Vergelcih konnten wir im Kurs auch Unterschiede von $3ct.$ hören. + Ein Unterschied von $10ct.$ ist hörbar, im direkten Vergleich konnten wir im Kurs auch Unterschiede von $3ct.$ hören. \url{https://sevish.com/scaleworkshop/} \end{remark} @@ -116,24 +116,19 @@ Um kleinere Tonabstände beschreiben zu können definieren wir ferner: \begin{definition}[Dur] -\vocab{Dur} bezeichnet sowohl eine Tonart, als auch den Akkord, der sich aus den Tönen der 1., 3. und 5. Stufe dieser Tonart ergibt. -%\begin{abc}[name=c-dur] -% X: 1 % start of header -% K: C % scale: C major -% "Text"c2 G4 | (3FED c4 G2 | -%\end{abc} +\vocab{Dur} bezeichnet sowohl eine Tonart, als auch den Akkord, der sich aus den Tönen der 1., 3.~und 5. Stufe dieser Tonart ergibt. TODO: C-Dur-Tonleiter -Ein Dur-Akkord besteht aus einer großen und einer kleinen Terz, d.h. die Töne haben Frequenzverhältnisse von $1, \frac{5}{4}, \frac{5}{4} \cdot \frac{6}{5} = \frac{6}{4}$. +Ein Dur-Akkord besteht aus einer großen und einer kleinen Terz, d.h.~die Töne haben Frequenzverhältnisse von $1, \frac{5}{4}, \frac{5}{4} \cdot \frac{6}{5} = \frac{6}{4}$. \end{definition} \begin{definition}[Moll] TODO: C-Moll-Tonleiter -Ein Moll-Akkord besteht aus einer kleinen und einer großen Terz, d.h. die Töne haben Frequenzverhältnisse von $1, \frac{6}{5}, \frac{3}{2}$. +Ein Moll-Akkord besteht aus einer kleinen und einer großen Terz, d.h.~die Töne haben Frequenzverhältnisse von $1, \frac{6}{5}, \frac{3}{2}$. \end{definition} \begin{definition}[Septakkord] @@ -146,7 +141,7 @@ Ein Moll-Akkord besteht aus einer kleinen und einer großen Terz, d.h. die Töne Wir suchen ein \vocab{equal temperament} / eine \vocab{gleichstufige Stimmung}, die die wichtigsten Intervalle möglichst gut approximiert. \end{problem} -Die ``Wichtigkeit'' eines Intervalls definieren wir dabei über die Größe des Nenners, d.h. die Intervalle sind in absteigender Wichtigkeit: Oktave, Quinte, Quarte, gr. Terz, \dots +Die ``Wichtigkeit'' eines Intervalls definieren wir dabei über die Größe des Nenners, d.h.~die Intervalle sind in absteigender Wichtigkeit: Oktave, Quinte, Quarte, gr. Terz, \dots Falls sowohl Oktaven als auch Quinten übereinstimmen sollen, bräuchten wir $a,b \in \N_{>0}$, so dass $2^a = \left( \frac{3}{2} \right)^b$. Solche existieren offenbar nicht. @@ -225,7 +220,7 @@ Das optimiert zunächst nur Oktaven und Quinten. Da Quarten der Rest einer Quint Videos zu EDO53: \url{https://www.youtube.com/watch?v=ILcgB_kOWzM}, \url{https://www.youtube.com/watch?v=T5OvAjzWF2Y}, \url{https://www.youtube.com/watch?v=xVZy9GUeMqY} -Eine große Terz lässt sich durch Quinten erreichen, indem man 4 quinten nach oben und 2 Oktaven nach unten geht. Als Frequenzverhältnis ergibt sich dann $\left( \frac{3}{2} \right)^4 \cdot \frac{1}{2^2} = \frac{81}{64}$. Die Abweichung $\frac{81}{80}$ zum Frequenzverhältnis $\frac{5}{4}$ wird als \vocab{syntonisches Komma} bezeichnet ($21,5ct.$). +Eine große Terz lässt sich durch Quinten erreichen, indem man 4 Quinten nach oben und 2 Oktaven nach unten geht. Als Frequenzverhältnis ergibt sich dann $\left( \frac{3}{2} \right)^4 \cdot \frac{1}{2^2} = \frac{81}{64}$. Die Abweichung $\frac{81}{80}$ zum Frequenzverhältnis $\frac{5}{4}$ wird als \vocab{syntonisches Komma} bezeichnet ($21,5ct.$). In EDO53 entspricht ein Tonschritt ($22,6ct.$ ) in etwa dem syntonischen Komma. \begin{remark}[Bohlen-Pierce-Skala] @@ -283,11 +278,11 @@ In EDO53 entspricht ein Tonschritt ($22,6ct.$ ) in etwa dem syntonischen Komma. \end{table} \begin{observe} - Wenn zwei Töne aus einem Intervall mit rationalem Verhältnis zusamen klingen, fallen viele der Freqeunzen aus dem Obertonspektrum zusammen. + Wenn zwei Töne aus einem Intervall mit rationalem Verhältnis zusammen klingen, fallen viele der Frequenzen aus dem Obertonspektrum zusammen. \end{observe} \todo{Bild dazu} -\paragraph{Erklärungsversuch} Bei Tönen, die nicht in einem rationalen Verhöltnis stehen, werden Schwebungen im Obertonspektrum wahrgenommen und sorgen dafür, dass diese Intervalle nicht gut klingen. +\paragraph{Erklärungsversuch} Bei Tönen, die nicht in einem rationalen Verhältnis stehen, werden Schwebungen im Obertonspektrum wahrgenommen und sorgen dafür, dass diese Intervalle nicht gut klingen. Die Erklärung ist falsch: Auch bei reinen Sinustönen klingen rationale Intervalle besser als andere, jedoch haben diese kein Obertonspektrum. Ferner sind die Schwebungen vermutlich nicht wahrnehmbar. \subsection{Nichtlineare Effekte} @@ -311,7 +306,7 @@ Welche nichtlinearen Effekte können auftreten? \item Instabilität (1) \end{itemize} -Für die Erklärung der Wahrnehmung von rationalen Intervallen scheinen Däpfung und Instabilität nicht wichtig zu sein, denn die Intervalle klingen auch für reine Sinustöne gut. +Für die Erklärung der Wahrnehmung von rationalen Intervallen scheinen Dämpfung und Instabilität nicht wichtig zu sein, denn die Intervalle klingen auch für reine Sinustöne gut. \subsubsection{Ohr} diff --git a/inputs/modulation.tex b/inputs/modulation.tex index e08f4ad..6808b1c 100644 --- a/inputs/modulation.tex +++ b/inputs/modulation.tex @@ -1,17 +1,20 @@ - \begin{definition}[Tonvorrat] +\section{Modulationen} +\begin{definition}[Tonvorrat] Ein \vocab{Tonvorrat} ist eine Menge von $n$ Tönen pro Oktave, welche ungefähr gleichmäßig verteilt sind. \end{definition} - \begin{definition} +\begin{definition} Wir definieren eine Metrik auf der Menge der Tonvorräte, wobei $\text{dist}(T, T')$ die minimale Anzahl an Halbtonschritten sei, die geändert werden müssen, um von $T$ zu $T'$ zu gelangen. \end{definition} \begin{definition} - Eine \vocab{Modulation} ist ein Wechsel c$\sharp$\footnote{Enharmonisch auch als $d\flat$ bekannt} Tonvorrates, der nicht auf komplett absurde Weise geschieht. (``lokal sinnvoll'', einzelne Töne werden minimal verändert) + Eine \vocab{Modulation} ist ein Wechsel c$\sharp$ %des + Tonvorrates, der nicht auf komplett absurde Weise geschieht. (``lokal sinnvoll'', einzelne Töne werden minimal verändert) \end{definition} Tonvorräte: + \todo{In Tabelle überführen} \begin{itemize} \item $n=2$ : \begin{itemize} @@ -91,6 +94,7 @@ \end{definition} Leitton (Auflösung kl. Halbton nach oben) +\todo{In Tabelle überführen} c g b d $\frac{8}{3}, 4, 5, 6$ bzw. $8, 12, 15, 18$. Die Erinnerung an den Grundton $c$ macht den Akkord instabil. diff --git a/inputs/uebersicht.tex b/inputs/uebersicht.tex index 1c17a00..6dc1133 100644 --- a/inputs/uebersicht.tex +++ b/inputs/uebersicht.tex @@ -38,19 +38,18 @@ \item generiert falsifizierbare Hypothesen \end{itemize} -Mathematik: +In der Mathematik: \begin{itemize} \item Axiome \item Folgerungen \item (Konventionen) \end{itemize} -Naturwissenschaften: +In den Naturwissenschaften: Eine Theorie sollte auf einfachen Annahmen beruhen und daraus Vorhersagen über die Realität ermöglichen. \paragraph{Musiktheorie} - Wunsch \begin{itemize} \item Allgemein gültige Theorie (erklärt alle Musikstücke) @@ -133,12 +132,9 @@ Einige Aspekte werden in klassischer Musiktheorie nicht behandelt: \end{itemize} -Wir wollen im Folgenden Musiktheorie aus Mathematik und möglichst einfachen Axiomen aufzubauen. +Wir wollen im Folgenden Musiktheorie aus Mathematik und möglichst einfachen Axiomen aufbauen. \begin{notation} -$B\flat \coloneqq B$ - -$B \coloneqq H$ - + Wir verwenden die angelsächsische Konvention, den Ton $H$ (Ganzton über $A$) als $B$ und den Ton $B$ (Halbton über $A$) als $B\flat$ zu bezeichnen. \end{notation} From e156619486034e4fdc3110f753d230b6b11ee8e9 Mon Sep 17 00:00:00 2001 From: Josia Pietsch Date: Thu, 31 Mar 2022 16:01:15 +0200 Subject: [PATCH 12/13] abb 1 --- inputs/uebersicht.tex | 1 + musiktheorie.pdf | Bin 0 -> 362393 bytes musiktheorie.tex | 2 +- 3 files changed, 2 insertions(+), 1 deletion(-) create mode 100644 musiktheorie.pdf diff --git a/inputs/uebersicht.tex b/inputs/uebersicht.tex index 6dc1133..08186d5 100644 --- a/inputs/uebersicht.tex +++ b/inputs/uebersicht.tex @@ -25,6 +25,7 @@ & \text{Schall}\arrow{d}{} \\ \text{Empfindung} \arrow{uu}{\text{komponieren}} & \text{Ohr}\arrow{l}{} \end{tikzcd} + \caption{Musik} \label{musikkomdiag} \end{figure} diff --git a/musiktheorie.pdf b/musiktheorie.pdf new file mode 100644 index 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86763e5..a620e84 100644 --- a/musiktheorie.tex +++ b/musiktheorie.tex @@ -23,7 +23,7 @@ \input{inputs/modulation.tex} -\section{Appendix} +\section*{Appendix} \input{inputs/appendix.tex} \cleardoublepage From b41f724da5d62b81a2eda92631b63526db4d899f Mon Sep 17 00:00:00 2001 From: Josia Pietsch Date: Thu, 31 Mar 2022 16:01:46 +0200 Subject: [PATCH 13/13] =?UTF-8?q?Wolfram=20Alpha=20best=C3=A4tigt=20das=20?= =?UTF-8?q?Ergebnis?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- inputs/intervalle.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/inputs/intervalle.tex b/inputs/intervalle.tex index fba66c2..4c3ccf8 100644 --- a/inputs/intervalle.tex +++ b/inputs/intervalle.tex @@ -324,7 +324,7 @@ Sei $g(x) = c_0 + c_1x+ c_2x^2 + \ldots$. Es ergibt sich für den quadratischen Term: \begin{IEEEeqnarray*}{rCl} (\sin \alpha t + \sin \beta t)^2 &=& (\sin \alpha t)^2 + 2 \sin \alpha t \sin \beta t + (\sin \beta t)^2\\ - &\overset{?}{=}& \frac{1}{2} - \frac{1}{2} \cos 2 \alpha t + \cos(\alpha t - \beta t) \cos (\alpha t + \beta t) + &=& \frac{1}{2} - \frac{1}{2} \cos 2 \alpha t + \cos(\alpha t - \beta t) \cos (\alpha t + \beta t) + \frac{1}{2} - \frac{1}{2} \cos 2 \beta t\\ \end{IEEEeqnarray*}