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Nice. Related, I also love exploring different ways to visualize time, so a few months back I came up with twelve variations arranged in the form of an actual clock that you can click through to see each one.

Each one presents a different type of visualization (from sand, where each falling grain represents a second to a 3D-modeled set of water wheels)

https://clocks.specr.net

That's pretty neat. The ? (help) link and the speed up button overlap on my browser (firefox on android, url bar on the bottom). My email is in my profile, I can send a screenshot if you need it.
The Pi clock is excellent.
My favorite retirement gift is a seven segment clock that points to the day of the week. It usually gets a laugh, followed up months later with an honest thank you and an anecdote about how it saved them from going to the bank on a Sunday or the like.

https://dayclocks.com/

I’m not retired, but I may end up getting one of these. I tend to like clocks that give a general sense of the time without getting hung up on the minutes of seconds.

One of my favorite watches for weekends and vacation is a single-hand 24-hour watch.

https://www.slow-watches.com

The solar watch face on the Apple Watch would be a great implementation of the 24-hour dial, except it doesn’t let you turn off the more precise time in the center.

I'm curious, are there any other notable time measurement systems other than the ones listed here?
Im surprised not to find a radians-based clock among these.
Time is a figment of our imagination
Our imagination is a figment of time.
Why not 64 minutes and 64 seconds for the hexadecimal in the base 16 clock? The second duration would be closer to the real life one (1.3 seconds) and 64 is closer to 60 too
if you havent seen the movie project hail mary, at least find the clip with the Eridian Clock from an alien world, really interesting!
My favorite alt time is definitely the ancient way of doing things: there are twelve hours during the day, and twelve hours during the night. Yes, this means that the length of an hour at night is different from the length of an hour during the day (at least most of the year). This system is still used in some oddball places (like certain aspects of Jewish religious law, and possibly Islamic law as well for all I know), but, having written such a clock once, I did kind of like that you could get a feel for where you were in the year purely based on how fast the second hand was ticking during which half of the day.
I want to see a binary clock with fourteen hands.
I think the day needs time units which are factors of 10x or 1000x to match SI prefixes. I give translations assuming current solar day length and current normal units:

- deciday (2.4 hrs)

- centiday (~0.24 hrs, ~14.4 minutes)

- milliday (~1.44 minutes, ~86.4 seconds)

- microday (~86.4 milliseconds)

But, to really get into the decimal clock, we want to also extend this into culturally useful multi-day units.

- decaday is somewhat akin to weeks

- hectoday is somewhat akin to months or quarters

- kiloday is somewhat akin to years

So we need to do some hard thinking and invent some insane tech to adjust planetary mechanics so that we can have decimal relationships between diurnal, lunar, and annual cycles. ;-)

> I think the day needs time units which are factors of 10x or 1000x to match SI prefixes

The nice thing about metric/SI prefixes is that they're generic multipliers, which can be used with any units we like. If you want to use them with day as the unit, you can just do that; nothing extra is required, and the meaning is clear (though unfamiliar!).

There is an alternative approach though: we could use prefixes for sexagesimal multiples (base 60). This has precedence, since we have a system of binary prefixes like "kibi" and "mibi".

For divisions, we can use the standard progression of "minute", "second", "third", "fourth", etc. to say there are 60 minutehours in an hour (or more generally, 60 minutefoo in a foo); that there are 3600 secondhours in an hour; and so on. Abbreviating "minutehour" to "minute" and "secondhour" to "second" when we're talking informally about time would be similar to abbreviating "kilogram" to "kilo" when talking informally about mass.

I'm not aware of any standard names for multiples (rather than divisions). My proposal[1] is “prota” for 60x, “defter” for 60x60x, “trito” for 60x60x60x, and so on; as Greek alternatives to the Latin "minuta", "secundus", "tertia", etc. (which "minute", "second", "third", etc. are derived from[2]). This Greek/Latin combo would match the multiply/divide naming of decimal, e.g. kilo (x1000, Greek) vs milli (/1000, Latin), hecto (x100, Greek) vs centi (/100, Latin), etc.

That would make an hour equal to protaminute, or one deftersecond.

[1] http://www.chriswarbo.net/projects/units/prefix_factors.html

[2] AFAIK the naming comes from "pars minuta" meaning "small part", with further divisions being "second small part", "third small part" and hence giving us "seconds", "thirds", etc. For consistency, we should really use "firsts" instead of minutes (or maybe "primes" from the Latin "prima").

Just so long as you name the decadays so that the first one is zero indexed: https://kybernetikos.github.io/UIT/ (day is in the top left).

Personally I thought that just using the equivalent of week number (again, starting with the 0th) was fine instead of using months / hectodays, but it seems fair to give nullday, unoday, duoday, triday, quadday, quintday, hexday, heptday, octday and nonday names.

I've been using decimal time for years and I really like it. I revived an obsolete unit, "dimi", to go with "centi" so that 1 centiday is 0.01 days, and 1 dimiday is 0.01 centidays.
One thing that annoys me about am/pm is that the clocks have a 12 at the top and not a 0. So it goes 11:59 am to 12:00 pm and not 11:59 am to 00:00 pm. Even as a kid I was confused as to why 12 belonged to PM but 11 was still AM, but I never thought about it much until recently, decades after I had learned and was using the system. Which I guess is why it is still like this.
I think we need to accept that calendars and clocks are different. Calendars are based on years and days of planets, planets are different, and they don't divide evenly. Clocks are measured in seconds, the SI seconds are basis of units.

One solution is local seconds and SI seconds. Another is use metric seconds for stopwatches and local minutes for scheduling, and accept there is uneven number of seconds in minute.

The movie Metropolis has a base-10 clock in the background. It's in the scenes with the business owner.
Kari Voutilainen created a new way to display analog time with his Vingt-8 ISO watch. It enables the minute hand to be opposite the hour hand when it's half-past, and aligned to the hour hand at the top of the hour. The location of the minutes rotate with the hours. From https://www.hodinkee.com/articles/the-voutilainen-vingt-8-is... the description says, "the minute hand makes 13 revolutions around the dial every 12 hours, meaning the top of each hour migrates over the course of each day."

Once you get the hang of it, it feels more intuitive than the traditional analog displays and has become my favorite way to display analog time.

Damn that’s pretty awesome, very intuitive for me that the angular relation between hour/minute hand is always preserved
Exactly! I’m glad you liked it, too. It changed my whole way of thinking about analog timepieces.
My favorite base 10 clock is Neralie: http://wiki.xxiivv.com/site/time.html

> The Neralie clock has two groups of 3 digits, called the beat & the pulse. A beat contains 1000 pulses, and equivalent to 86.4 seconds. A day is 1000 beats, or a million pulses.

On the Moon or even Mars it's a bit irrelevant because you're not following the Sun anyway.

But let's talk sci-fi: what if there is a habitable colony where the day is 26h30m. What do you actually do?

There's also the ill-fated Swatch Internet Time, which was a decimal system that divided the day into 1,000 beats and no time zones. https://en.wikipedia.org/wiki/Swatch_Internet_Time

They even sold physical watches with this design.

I feel like it was sooooo close to catching on, but basing it on CET instead of UTC made it a bit too clearly tongue-in-cheek. That also torpedoed its main user-base, which I always thought was sysadmins.
I want a clock partially tied to gps that purely measures my dead reckoning movement along with a universal lock as near as we can tell.

A causal wristwatch that purely lets me label my self relative increments. I'd allow cesium oscillations on my person as well I guess.

We can all then crdt ourselves together for group interactions or I can just live on my own branch.

Incorporate the metric clock into a "metric" calendar:

1 year = 360 days + 5 days of Festivus (6 for leap year)

360 days = 12 months

1 month = 3 weeks

1 week = 10 days

10 days = 6 work days + 4 day weekend

24-hour analogue clocks should have midnight at the bottom and noon at the top. Why? Because that's the way the sun moves. See https://sunclock.net