s691.py

from research import *
s=begin(691,'Consolidate phase and calendar completion','What causal chain now connects fine phase structure to the Round chronology?',{'completed_range':[672,691],'chain':['phase scalar','common calibration','unit-qualified12558','retained macro realization']},['C672–C690','Supplement A §§4–6,10'])
body='''# C691: sixty-step checkpoint\n\nThe new connection has four stages. The phase scalar34.5 gives P35 and E37.5. Calendar calibration yields336×37.5=360×35=364×J(34.5)=12600. The source’s numerical12558=34.5×364 matches the Actual cumulative14004−1446, whose J completion matches Rounded14006−1406=12600. Distinct units and endpoints remain attached to each realization.\n\nThe source-defined PhaseNorm40 adds2.5 beyond37.5, supplying840 more336-day units and therefore13440. At macro scale, the admitted4346 hinge retains its2940 lower arm while its9660 upper arm changes under identity/P/E. This produces12600/12740/13440 with gains0/140/840. Thus the micro and macro structures connect through explicit operations and retained components.\n\nThe exact phase table is generated by center, width and suffix offset. The40/70/120 fields explain the25|35|35|25 partition. The symmetric corridor opening conserves center2871 through widths2910/2930/2940. Scalar regrouping of1470 does not itself introduce a new path junction; suffix withdrawal preserves exact centers even as displayed suffixes change.\n\nNext: explain the anchored4346 convergence, refine its supplied paths, and integrate these findings with the existing MT/LXX/SP and File52c account.\n'''
a=artifact('deliverables/C691_Interim_Synthesis.md',body)
finish(s,{'artifact':a,'completed_steps':60},'Sixty steps now connect the local calendar geometry to the Rounded cumulative family through a common calibrated structure and a retained-component realization. The next explanatory need is the source-conditioned placement of the4346 hinge.','Reconstruct both supplied regular-MT routes to4346 as anchored maps.',{'count':691-632+1==60,'calibration':336*E==360*P==364*J,'retained_completion':E*9660+2940==40*336})