Jaeger-LeCoultre

Ruckdee
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JLC models moonphase accuracy question

A few hours ago a friend of mine forced me to revisit the issue of moonphase accuracy on our watches. I understand with some but not 100% clarity that it is governed by the number of teeth on the moonphase wheel of the movement, and that the kind with 59 and 135 teeth produce an error of one day in just under three years and in 122 years respectively (ref: www.hautehorlogerie.org )

I have duly completed my research but the findings are broad engineering concept and not specific information on the particular JLC models with moonphase. This accuracy information is not listed in the technical details section of various models on JLC web site. Could someone with familiarity of this moonphase wheel teething please fill in the blank for me? This curious mind begs you. It is not a quest for the ultimate mechanical supremacy. Rather, it is a case of getting to know one's own possessions better, if I can put it that way

MUT Moon 39=59 teeth?
Master Calendar=59 teeth?
Grande Reverso Calendar=59 teeth?
MUT Perpetual=XX teeth?
Master Eight Days Perpetual 40=XX teeth?
Duomère à Quantième Lunaire=XX teeth?

Thank you very much for any information you can share.

As an aside, I don't know how many teeth there are on the moonphase wheel of the Atmos clock. But surely there must be a whole lot of them given the large size of the clock relative to wristwatches. The JLC web site still lists moonphase accuracy for the simple Atmos model at one day deviation in 3,821 years (http://www.jaeger-lecoultre.com/AT/en/watches/atmos-classique-phases-de-lune/5112202#/t1). How appropriate for the Atmos...

Ruckdee