The Crux of the Matter: An Issue of Etymology

...Just The Facts:

Angel (noun)
About 1300 angel, aungel (with a hard g as in gem),
replacing earlier angels, angles (with a soft g as in ghost),
​a fusion of Old English engel and Latin angelus.

The latter Middle English angel, aungel are a fusion of Old English engel & Old French angele, angel, aungel, from Latin angelus, from Greek ángelos, originally meaning 'messenger'.

The Greek word was a loan translation in the Septuagint of Hebrew mal'akh 'messenger, angel' 
& ángaros 'royal mounted courier'.

The Old English engel was a borrowing of Latin angelus. Other Germanic languages made a similar borrowing of the Latin: Old Frisian angel, engel, Old Germanic angil, engil, Old Icelandic engill.

Angelic (adjective)
About 1385, borrowed from Old French angélique,
from Latin angelicus, from Greek angelikós,
​from ángelos 'angel'.

...The original pronunciation was a hard g & shared understanding with the word angle. In about 1300AD the pronunciation of the word angel (hard g) changed to angel (a soft g). The meanings of messenger/royal mounted courier remained attached.

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Linguistic Enharmonics:

Angle (noun)
A space between 2 lines that meet.

About 1380, 'corner', borrowed through Old French angle, or directly from Latin angulus 'corner'. Cognate with Greek ánkos 'bend', 'valley'.

Angle (verb)
Fishhook & Line.
About 1450, verb use of angle (n. fishhook);
developed from Old English angel (before 899);
​related to anga hook.

Old English angel is cognate with Old High Germanic angul fishhook, ango hook, Old Icelandic ongull fishhook.

Angles referred originally to the people of Angul,
a region in Germany that was named after it's 'hook-like' shape.
A Germanic tribe accompanied by Saxons, Jutes and Frisians
that crossed into Britain in the 400's & 500's AD.

...In the Ethos of Music, Angels & Angles are analogous to each other. The Hierarchy of Archangels are a direct representation of the arc angles of light that Sir Isaac Newton defines in his book Principia.

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A Relative Minor:

Ankle (noun)
About 1350 ancle;
probably before 1300 anclowe;
before 1150 ancleowe;
developed from Old English onclēow (before 800)
cognate with Old High German anchal, enchil which means ankle (modern German enkel),
Old Icelandic okkla (from proto ANKULAN)
& Latin angulus meaning 'corner' and 'angle'.

Old English had another form anclēow cognate with Old High Germanic anchlāo,
apparently influenced by Proto-Germanic klāwa meaning claw,
​but eventually this was supplanted by the simpler ancle.

...When applied to the 12 key signatures & signs of the zodiac,
Jacob (patriarch of the 12 tribes of Israel) takes on the meaning 'heel-catcher'
which is descriptive to the development of human physiology.
A connection of 2 systems;
A ladder of knowledge represented (clearly) through
the angles of angels that are eternally watching from the skies above;
shining down from space, evolving our faculties & guiding us through time.
Hidden behind a tactile mirror of the alphabetic letter G.

*Dictionary entries reproduced from The Barnhart Concise Dictionary Of Etymology by Robert K. Barnhart. (HarperColins, 1995.)