Roy, W7EL wrote:
"First, you can`t just wind X meters of wire on a coil and expect it to
behave in any way like X meters of wire stretched out."

Of course, Roy is right. Yet, the more wire wound coonsistently on a
form, the more inductance and the lower its self resonant frequency.

My 19th edition of the "ARRL Antenna Book" offers some guidance in
winding radial-mode helical antennas based on experimental results. It
appears on page 6-26. It says that a 1/2-wavelength of wire wound with
equal spacing between turns comes close to making a resonant 1/4-wave
whip.

J.L. Davis, W5LIT (now SK) in 1949 made such an antenna to use on his
new Ford, with a surplus PE-103 powering his mobile rig. The antenna was
wound on a bamboo fishing pole. It had such a high-Q that when he
modulated,a plasma broke out at the tip of the antenna. J.L. was an
operator at KXYZ and KPRC which shared a transmitting tower. He made
lots of contacts using the fishing pole antenna.

Best regards, Richard Harrison, KB5WZI