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The Fractional Cipher

Morse code has a bit of a problem, as we need to insert a small pause between the letters, and between the words. In its standard form it is made up of dots and dashes:

Standard Morse code
E .   S ...  H ....  B -...  1 .----  period  .-.-.-
T -   U ..-  V ...-  X-..-   2 ..---  comma   --..--
I ..  R .-.  F ..-.  C-.-.   3 ...--  query   .-.-.-
A .-  W .--  L .-..  Y --.-  4 ....-  colon   ---...
N -.  D -..  P .--.  Z --..  5 .....  s/colon -.-.-.
M --  K -.-  J .---  Q --.-  6 -....  dash    -....-
      G --.                  7 --...  slash   -..-.
      O ---                  8 ---..  equals  -...-
                             9 ----.
                             0 -----

For example, “Hello World” is:

.... . .-.. .-.. --- /      .-- --- .-. .-.. -..
H    E   L    L   O  SPACE    W  O   R   L    D

With a fractional cipher, we can then make this into a string with an ‘x’ between characters. For “Peter Piper picked”, we get:

For "Peter piper picked " we get:
.--.x.x-x.x.-.xx.--.x..x.--.x.x.-.xx.--.x..x-.-.x-.-x.x-..xx
P    e t e r ' ' p    i   p  e  r' ' p    i  c    k  e  d ' '

So let’s take an example of “Hello world”:

Plain text:    H    e l    l    o    w   o   r   l    d
Morse string…