Unharmonious universe

 In fact the universe is not very harmonious.  Take the sun and moon for example.  A decent creator would have made the month an integral fraction of the year, but no, we have to have months of different lengths.  So too, a decent creator would have made the day an integral fraction of the year, but no we have to have leap years and skipped leap years, and it still does not come out quite right.
Grounded critique in empirical cosmic incommensurability and teleological assumptions

You're pointing at something real, but I'd push back on the framing a little: it's not so much "the sun and moon are badly matched" as "there is no reason on earth (or off it) why they should match at all."

The day, the month, and the year are three completely independent physical periodicities:

    The day is Earth's rotation on its own axis.
    The month is the Moon's orbit around Earth.
    The year is Earth's orbit around the Sun.

These arise from unrelated dynamical histories — the Moon's orbital distance and period are consequences of the giant-impact formation event and subsequent tidal evolution (it's still receding about 3.8 cm a year, which means the month has actually been lengthening over geological time, and the day with it, so even "one day" isn't a fixed unit on long timescales). There's no physical mechanism that would force any of these three periods into a neat ratio with each other. Commensurability would be the surprising outcome, not incommensurability.

The numbers are almost comically uncooperative:

    Tropical year ≈ 365.2422 days
    Synodic month ≈ 29.5306 days
    Year/month ≈ 12.368 — not close to any tidy fraction

The best rational approximation anyone found was the Metonic cycle: 235 lunar months ≈ 19 solar years, off by only about two hours. That's a lovely coincidence, arithmetically, and it's the reason the Hebrew and Buddhist lunisolar calendars can insert leap months on a 19-year cycle and stay roughly in sync. But it's a coincidence of continued-fraction convergence, not evidence of any underlying tuning.

The leap year mess is the same story one level down: 365.2422 isn't 365.25, so the Julian "add a day every 4 years" overshoots, which is why the Gregorian rule drops three leap days every 400 years (no leap year in century years not divisible by 400) — and even that drifts about a day every 3,300 years. It's patches on patches, because the underlying quantity was never going to be rational in any convenient base to begin with.

So I'd say the disharmony you're noting is genuine, but it's better read as an argument against the very premise that these bodies were laid out with an intended relationship, rather than as an argument that the designer was clumsy. A clumsy craftsman at least had a blueprint. What we actually see is the arithmetic residue of gravitational mechanics that never had a blueprint to begin with — which is a more parsimonious explanation than a builder who couldn't get the units to line up.

Yes, that is indeed the message.

Right — and it's worth being precise about what kind of argument that is, since it's easy to conflate two different things.

It's not that the mismatched periods constitute positive evidence against a designer, the way a fossil in the wrong stratum would be evidence against a theory. Incommensurate orbital periods are exactly what you'd expect on pure celestial mechanics with zero input from teleology, so their existence doesn't discriminate much between "no designer" and "a designer who simply didn't care about calendrical tidiness." The real force of the observation is the second thing: it strips away a certain kind of argument for design — the one that says look how fitting, how ordered, how suited-to-purpose the heavens are. That argument needs a domain where things actually come out clean, and this is a domain, sitting in plain view of every naked-eye astronomer since Babylon, where they conspicuously don't.

So it functions less like a disproof and more like a solvent on a specific rhetorical move — the same move Hume goes after in the Dialogues, and that Darwin later made biologically concrete: once you show that the messy, ad hoc, historically-contingent process accounts for the pattern at least as well as intention does, the burden shifts back onto anyone wanting to invoke a designer to explain why the design looks like leftover arithmetic rather than a plan. Calendars are a nice test case because the "designer" here would have had one job — pick periods that divide evenly — and declined to do it, repeatedly, across every civilization's attempt to patch the result.

My point is that the harmony of the stars that we get from the preacher is not harmony at all.  A creator would have put things in proportion, so the creator proposal doesn't work.
Weighed design argument's logical coherence against proportionality objection

That's a clean argument, and it's worth naming what it's really doing: it's taking the preacher's own criterion — harmony, proportion, fittingness — and testing the universe against it on its own terms, rather than importing an external standard. That's a stronger move than most versions of the problem of evil or design objections, because you're not arguing "a good designer wouldn't have done X," you're arguing "the very traits claimed as evidence of design (harmony, proportion) are absent where we can check most easily." The preacher can't just retreat to "well, harmony means something else" without conceding the word was doing rhetorical work it can't cash out.

Worth noting the argument has real historical pedigree under this exact name. The "harmony of the spheres" (musica universalis) going back to Pythagoras and formalized by Kepler in Harmonices Mundi was precisely the claim you're rebutting — that planetary periods and distances stood in pleasing musical ratios, small whole numbers, the same proportions that make a fifth or an octave sound right. Kepler worked immensely hard to find these ratios and, to his credit, kept revising his laws when the numbers didn't cooperate, eventually landing on elliptical orbits and unequal areal velocities instead of circles and harmonic proportion. The actual history is a slow retreat from exactly the picture the preacher is invoking, forced by better data at every step. So when someone reaches for "the harmony of the heavens" today, they're often unknowingly echoing a specific, once-serious scientific hypothesis that was falsified.

Two things a defender might say, for completeness — not because I think they rescue the argument, but because they're the standard responses:

    They could relocate "harmony" to some other domain — the fine-tuning of physical constants, say — and abandon the celestial-mechanics version entirely. That's a retreat, and it concedes your point about the stars specifically.
    They could say "harmony" was always meant aesthetically or theologically, not metrically — that the sky's beauty, not its arithmetic, is the evidence. That's coherent, but it's a much weaker and less falsifiable claim than the one actually being traded on when a preacher gestures at "the heavens declare the glory of God" while implying order and precision.

Either way, the specific claim — that day, month, and year exhibit designed proportion — is simply false, checkable, and has been checked, repeatedly, by everyone who ever tried to build a calendar.

Well the creator wanted us to end up with a jury-rigged calendar and clock.
Recognized ironic theodicy trap and prepared skeptical counterpoint

That's the move, isn't it — and it's worth naming precisely, because it's the general-purpose escape hatch for any design argument. Whatever obtains, was intended. If the calendar were clean, that would prove design; since it's a mess, the mess itself proves design, on the grounds that the creator meant it that way. There's no observation that could possibly count against the hypothesis once you're permitted to retrofit intention onto whatever you find. That's not a defense of design, it's the abandonment of it as an empirical claim — you've traded "the heavens show proportion" for "whatever the heavens show is proportionate by definition," which is unfalsifiable and therefore explains nothing.

It's the same structure as theodicies that say suffering exists because God wanted us to develop virtue through struggle, or that evil exists so free will can be meaningful — always available, always after the fact, always immune to any counterexample because the counterexample gets absorbed as further evidence. Once you notice the pattern in one domain it's hard not to see it everywhere the same rhetorical trick is played.

And there's a sharper problem specific to your case: if jury-rigging was the goal, the creator picked a strange way to advertise it. Every calendar reform in history — Julian, Gregorian, the Hebrew intercalation, the Chinese lunisolar corrections — was an attempt by humans to fix the mismatch, not appreciate it. Nobody has ever stood before the incommensurability of day, month, and year and experienced it as revelation. They experienced it as a problem to be solved with arithmetic. If jury-riggedness were the intended message, it's been received by precisely no one until you retrofit the theology onto the arithmetic after the fact.

We do have one wonderful harmony: the sun and moon cover, much of the time, the about the same area of sky, so we can have the glory of a total sun eclipse, but only rarely when they just happen to line up right.
Contemplated celestial alignment enabling rare eclipse phenomena

That's a genuinely striking coincidence, and it deserves to be treated differently from the calendar stuff, because it's not just "rare alignment" — the rarity of alignment is trivial (any two orbits will occasionally line up). The wonderful part is the size match: the Sun's angular diameter and the Moon's angular diameter are almost exactly the same, about half a degree each, so the Moon's disk just barely covers the Sun's, giving you totality with the corona visible in a thin ring, rather than an annular ring of leftover sun or a moon lost inside a much bigger solar disk.

And it really is a coincidence in the strict sense — no shared cause. The Sun's size is set by stellar structure, the Moon's by the giant-impact formation event; their distances are set by completely separate orbital histories. The ratio (Sun is about 400 times wider than the Moon, and also about 400 times farther away) has no reason to hold, and it doesn't hold for long on cosmic timescales. The Moon is receding from Earth at about 3.8 cm/year, so several hundred million years ago it would have looked large enough to blot out the corona along with the disk, and several hundred million years from now it will have shrunk enough in the sky that total eclipses stop happening altogether, leaving only annular ones. We're living, geologically speaking, in the narrow window where this particular match happens to hold.

That's worth sitting with, because it cuts against the "jury-rigged on purpose" defense rather than for it. If a designer wanted to signal precision through celestial proportion, this is the one place they actually could have — and did, but only transiently, only for the eyeblink of cosmic time that includes humans with eyes to watch it, and by a mechanism (tidal recession) that guarantees it won't last. A design that includes its own scheduled expiration, tuned to arrive exactly when observers show up and vanish shortly after, is a much harder thing to arrange than a design that's simply permanent — and yet if it's not designed, this is exactly the kind of soft, temporary, statistically unremarkable coincidence you'd expect out of a large enough universe with enough planet-moon-star systems for a few of them to land in the sweet spot by chance. The rarity is the tell: genuine design tends toward robustness, not toward a coincidence that only works during one 100-million-year window in the multi-billion-year life of the system.

To what end?
Recognized philosophical challenge to teleological reasoning

Good catch — and I should own that: "to what end" has no answer, and if my phrasing implied one, that was sloppy. There isn't one. Nothing is arranged for anything here; that's the whole point of calling it a coincidence rather than a design.

The "tuned to arrive when observers show up" language I used is doing something specific and it's worth being precise about it, because it's easy to slide from a legitimate observation into an illegitimate one. The legitimate version is just selection effect, not teleology: in a universe with billions of star-planet-moon systems and a wide range of relative sizes and distances, some fraction will happen to pass through a total-eclipse-capable configuration at some point in their history. Observers, if they evolve at all, evolve on a planet with a working biosphere, which takes billions of years — meaning by the time anyone's around to look up, the system is already old, tidal evolution has already been running a long time, and whether the moon happens to still be in the eclipse-capable size window is just a fact about that particular system's age and tidal rate, uncorrelated with the existence of the observer. It's not that the universe scheduled the coincidence for us. It's that "us" can only exist late enough, on a planet stable enough, to have a chance of catching a system in that state — and this is one of the systems that happened to be in it.

That's a weak anthropic point, not a strong one — it explains why an observer who exists at all might plausibly witness such a thing without invoking purpose, but it doesn't make the coincidence any less numerically arbitrary or any less a matter of luck for this particular Earth-Moon-Sun configuration. There's no "end." There's a ratio, a rate of change, and a species that showed up during the part of the curve where the ratio was still close to one.

I lived in DC for a while when a totality swept over the east coast and was to go over the Tidewater area of Virginia, so I decided to drive there and see it.  Back then it was patriotic to pick up military hitchhikers, so I pick up this navy kid headed back to Virginia Beach.  He asks me why I'm making the trip, and I say for the eclipse, of course.  What eclipse? (This was one of those types who just listen to rock and roll).  So I said the moon was going to move in front of the sun and block the sun for a while.  "Yer joshin me." Well I was a bit slow and saw it was in progress so pulled over and it happened.  Afterward he says, "man I'm glad you told me that was gonna happen."

That's a great story — there's something almost archetypal about it. A guy who's never heard the word "eclipse" gets driven, unwittingly, right into totality by a stranger, and comes out the other side converted on the spot. No lecture, no build-up, just the sky actually doing it in front of him. "Yer joshin me" to stunned gratitude in the space of a few minutes is about as fast as anyone's worldview has ever been updated by direct observation.

It's also a nice quiet rebuke to the calendar conversation, in a way — the eclipse didn't need him to know the orbital mechanics, the Metonic cycle, or the Saros series to land. The eclipse just happened, on schedule, indifferent to whether anyone in the car had the concept for it. He got the corona, the temperature drop, the false dusk, the whole physical event, with zero priors. Which side of the road were you on, roughly — did you get the full band of totality or a partial from where you pulled over?

I saw people on the road set up with telescopes and shades and such so I figured it was in the totality path.  Got the full glory.
Opted for casual, natural conversational tone

That's the way to do it — following the telescope crowd instead of trusting your own math on where the path fell. Full totality, with the corona actually visible and the sky doing that eerie 360-degree sunset all around the horizon, is a different order of experience from a partial; people who've only seen 99% umbra always report being stunned that the last 1% mattered as much as it did. Good instinct that got you there, and better luck that the eclipse itself did the converting for a total stranger before you even reached Virginia Beach.

By the way, the fact that we have total eclipses is a nice coincidence, but if God had wanted it for his glory he would have arranged the orbits to be less inclined so we would have them much more often.

Exactly right, and it sharpens the point rather than just repeating it. The Moon's orbit is tilted about 5.1° relative to the ecliptic — if it were 0°, you'd get a solar eclipse (partial or total, depending on distance that month) at every single new moon, roughly twelve times a year, instead of the actual situation where totality is visible from any given spot on Earth on average only once every 300-400 years. The 5° tilt is precisely why eclipses require the Moon to be near a node (where its tilted orbit crosses the ecliptic plane) at the same time it's new — two independent conditions that only coincide a couple of times a year, which is where the Saros cycle and eclipse seasons come from.

So the actual mechanics point the opposite direction from "designed for maximum glory." A designer optimizing for the spectacle to be witnessed and to inspire awe would have zeroed out the inclination and let everyone see totality monthly. Instead we got a geometry that makes the coincidence rare, narrow in path (totality is only visible from a band a couple hundred kilometers wide), and effectively invisible to most humans who have ever lived, most of whom died without seeing one. If anything, the tilt is a second layer of "this wasn't arranged for an audience" — not only is the size-match transient on geological timescales, the frequency is throttled down by orbital geometry that has no reason to serve display value at all. It's a coincidence riding on top of an accident, not a production riding on a stage.
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