How to get the ticks for each value of the logarithmic scale?
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Tahariet Sharon
am 26 Feb. 2018
Kommentiert: Star Strider
am 26 Feb. 2018
Hi,
I'm learning to read logarithmic graphs and haven't found anywhere what the ticks between 10^0 and 10^1 for instance are (they are not 10^.1, 10^.2, etc because the gap becomes smaller, and not larger...) and how to plot them in Matlab. Any help appreciated.
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Star Strider
am 26 Feb. 2018
The ticks between 10^0 (or 1) and 10^1 (or 10) are the integers between 1 and 10. They are scaled logarithmically, so the apparent distance between them appears to decrease.
This example code:
x = linspace(0.1, 1.0, 10);
y = x;
figure(1)
semilogx(x, y)
ax = gca;
ax.XMinorTick = 'on';
ax.XAxis.TickValues = x;
ax.XAxis.Exponent = 1;
xlabel('Logarithmic X-Axis')
ylabel('Linear Y-Axis')
title('Illustrating Logarithmic Scaling')
produces this plot:
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Star Strider
am 26 Feb. 2018
My pleasure.
The decreasing gaps are due to plotting logarithmic values on a linear scale (which is what the semilog axis does).
Consider:
Xtix = log10(10:10:100)
DiffXTix = diff([0 Xtix])
Xtix = 1.0000 1.3010 1.4771 1.6021 1.6990 1.7782 1.8451 1.9031 1.9542 2.0000
DiffXTix = 1.0000 0.3010 0.1761 0.1249 0.0969 0.0792 0.0669 0.0580 0.0512 0.0458
You can see that the differences between the logarithm values decrease as the values themselves increase. That is the nature of logarithms, and what the plot illustrates.
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