set command to specify minor tics on logarithmic axes

The current set mytics command, which specifies minor tic frequency, is not particularly well-suited for use with logarithmic axes. Therefore, I propose introducing a new command specifically designed for finer control of minor tics on log-scale axes.

Proposed Syntax

        set mylogtics m1 m2 m3 ...

• This command would generate minor tics at positions such as 'm1* 10^k', 'm2 * 10^k', 'm3 * 10^k' between each major tic at '10^k' and '10^(k+1)'.
• If a major tic exists at the same position as a generated minor tic, the major tic takes precedence.
• If called without arguments, it defaults to set mylogtics 1 2 3 4 5 6 7 8 9.
• The tic scale(length) at the position correspond to "1" in mylogtics is the same as that of the major tics (if this is unacceptable as a specification, it should be the same scale (length) as the minor tics instead).
• This command only takes effect when the corresponding axis is in 'logscale' mode (e.g., set ytics logscale) and overrides the set mytics setting.
• When set ytics nologscale is specified, the 'mylogtics' setting is ignored, and the mytics setting is used instead.
• For other axis: mxlogtics, mylogtics, mzlogtics, ....

There might be a more suitable name than "mylogtics".

Example

For example, with the setting:

set yrange [1:1000]
set mylogtics 1 5

Minor tics would be placed at: 1, 5, 10, 50, 100, 500, and 1000.

In matplotlib, the keyword argument subs in LogLocator has the role of minor tick setting like above description. https://matplotlib.org/stable/api/ticker_api.html#matplotlib.ticker.LogLocator

I have prepared a script that emulates the behavior of the proposed set mylogtics command.
I would appreciate it if you could review it and let me know whether you find it useful.