Beamer: How To Define Colors from Dolphin Theme

Question

I was trying out different themes, and I accidentally stumbled on a combination of themes whose color combination I very much like (with color theme: Dolphin). I'm using the themes: Berlin, Frankfurt, and Singapore in that order. Obviously, it is not ideal to be using these different themes together, and I really just got lucky by stumbling on this color combination. I would like to be able to define the colors that you see here so that I can use them with just one theme (e.g. Frankfurt), but I couldn't figure out the color names that come with Dolphin. Can someone help me out so I can recreate this aesthetic using just one theme? Here is a minimal working example, and a screenshot.

EDITS: (1) I would especially like to know how to do this for Frankfurt as well as Berlin. I like the single line for frame line in Frankfurt, as well as some of the other formatting features it has. But above all, I am interested in figuring out the colors so I can create this scheme myself potentially using a variety of different templates. (2) I'm also hoping to get the TOC header line in white text so it pops more.

\documentclass[10pt,xcolor={usenames,dvipsnames,svgnames}]{beamer}
%\documentclass[10pt]{beamer}
%\documentclass[10pt, handout]{beamer} %for no pauses

\usepackage{graphicx}
\usepackage{amsmath}
\usefonttheme{professionalfonts}
\usefonttheme{serif}
\usepackage{mathpazo}
\usepackage{multicol} 
\usepackage{adjustbox}

\usetheme{Berlin}
\usetheme{Frankfurt}
\usetheme{Singapore}

\usecolortheme{dolphin}

\setbeamertemplate{section in toc}{\inserttocsectionnumber.~\inserttocsection}

\AtBeginSection[]
{
    \begin{frame}<beamer>{Outline}
    \tableofcontents[currentsection,currentsubsection]
\end{frame}
}

\setbeamercolor{alerted text}{fg=MediumBlue}

\title{Title}

\author{Name}

\institute[University] 
{
  Department \\
  University \\
  }
% - Use the \inst command only if there are several affiliations.
% - Keep it simple, no one is interested in your street address.

\date{DATE}

\begin{document}

%Title Page
\begin{frame}
  \titlepage
\end{frame}

\begin{frame}{Sample}
\begin{itemize}
    \item Test 
    \item Test 
\end{itemize}
\end{frame} 

\end{document} 

Answer 1

Combining the Frankfurt theme with

\usecolortheme{dolphin}
\definecolor{myblue}{RGB}{111,110,200}
\setbeamercolor{structure}{fg=myblue}
\setbeamercolor{section in head/foot}{bg=myblue}

should result in an output with at least somewhat similar colors to the screenshot in the question:

\documentclass[10pt,xcolor={usenames,dvipsnames,svgnames}]{beamer}

\usepackage{amsmath}
\usefonttheme{professionalfonts}
\usefonttheme{serif}
\usepackage{mathpazo}

\usetheme{Frankfurt}
\usecolortheme{dolphin}
\definecolor{myblue}{RGB}{111,110,200}
\setbeamercolor{structure}{fg=myblue}
\setbeamercolor{section in head/foot}{bg=myblue}


\setbeamertemplate{section in toc}{\inserttocsectionnumber.~\inserttocsection}

\AtBeginSection[]
{
    \begin{frame}<beamer>{Outline}
    \tableofcontents[currentsection,currentsubsection]
\end{frame}
}

\setbeamercolor{alerted text}{fg=MediumBlue}

\title{Title}

\author{Name}

\institute[University] 
{
  Department \\
  University \\
  }
% - Use the \inst command only if there are several affiliations.
% - Keep it simple, no one is interested in your street address.

\date{DATE}

\begin{document}

%Title Page
\begin{frame}
  \titlepage
\end{frame}

\begin{frame}
\tableofcontents
\end{frame}
\section{section}
\begin{frame}{Sample}
\begin{itemize}
    \item Test 
    \item Test 
\end{itemize}
\end{frame} 

\end{document}