Iterations on Element Count
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Why? More elements provide higher gain. The returns diminish at some point, however. Let us discover where that point is.

* Leading Half-Angle. Ref. Definition

Ref: How I define saw teeth ☞Link


SWR vs Element Counts


Zin near 300Ω, 1/𝜏 = 1.06740, LHA = 18.629°

Zin near 300Ω, 1/𝜏 = 1.05969, LHA = 16.737°

Zin near 300Ω, 1/𝜏 = 1.05357, LHA = 15.186°

Zin near 300Ω, 1/𝜏 = 1.04444, LHA = 12.799°

Zin near 300Ω, 1/𝜏 = 1.03798, LHA = 11.052°

Zin between 200Ω & 300Ω, 1/𝜏 = 1.03315, LHA = 9.720°

Zin near 300Ω, 1/𝜏 = 1.02941, LHA = 8.673°

Zin between 200Ω & 300Ω, 1/𝜏 = 1.02643, LHA = 7.828°

Conclusions: 10 elements provided the smoothest SWR. Gain increased with more elements, but only by a tiny amount. More elements clearly helps out F/R at the bottom-frequency end.


Radiation Patterns @ 24.89MHz vs Element Count

Azimuth Gain of 8-elem LPSA  8 Elements   7.27 dBi Gain

Azimuth Gain of 9-elem LPSA  9 Elements   7.67 dBi Gain

Azimuth Gain of 10-elem LPSA  10 Elements   7.73 dBi Gain

Azimuth Gain of 11-elem LPSA  11 Elements   8.02 dBi Gain

Azimuth Gain of 12-elem LPSA  12 Elements   8.44 dBi Gain

Azimuth Gain of 13-elem LPSA  13 Elements   8.85 dBi Gain

Azimuth Gain of 14-elem LPSA  14 Elements   8.86 dBi Gain

Azimuth Gain of 15-elem LPSA  15 Elements   8.71 dBi Gain

Azimuth Gain of 16-elem LPSA  16 Elements   8.68 dBi Gain

Azimuth Gain of 17-elem LPSA  17 Elements   8.91 dBi Gain

Azimuth Gain of 18-elem LPSA  18 Elements   9.07 dBi Gain

Azimuth Gain of 19-elem LPSA  19 Elements   9.02 dBi Gain

Azimuth Gain of 20-elem LPSA  20 Elements   8.79 dBi Gain

Conclusions: Max gain for 24.89MHz is got with 18 elements. Maybe not enough extra, though, to risk that bump in the SWR chart for 18 elements. Split the difference and go with either 14 or 15?