Cal 23.7 was created in 1918. The t2 version (2nd transformation) is the biggest production, although it was created in 1926, the same year as the 26.5 SOB. 23.7 was widely used in the men's wristwatches until the cal 26.5 SOB replaced it in round watches (some round cases were produced after 1926 with some 23.7. It was then kept, in particular in rectangular and tonneau / cushion cased men's wristwatches, I guess because it allowed narrower cases than cal 26.5. 23.7 was also used in some women's wristwatches.
When cal 20F was launched in 1929, Omega had two more modern calibers, the 26.5 for round cases and the 20F for rectangular/tonneau. In 1931 Omega granted a special discount to its retailers on 23.7 which apparently didn't have success anymore.
The bright finish of your caliber is not unusual for this reference, and the mainspring click is the same as was used 26.5 SOB (it was replaced by a different one on 26.5 SOB T1). Two watches references with a 23.7 ST2 are, IMHO, very interesting for collection : the armure (ref MG957) from 1929 and the Golf (ref AR 909) from 1931.
Could you please give the size of the dial you pictured, it seems big for a wristwatch of that period. It coud be a woman's Pocket Watch.
A couple of catalog pages with some 23.7 :
1925 :
1927 (after the introduction of 26.5 SOB) :
1933 (still one men's ref in gold) :
and a couple of mine :
The armure :
A couple of tonneau cases :
A rectangular one :
I'm still looking for a golf in good condition....
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