# Confluence on the century — 1,468,974 claims, 45,439 cells

- partition `lineage_only`: 81 rules -> 33 witnesses
- partition `doctrinal`: 81 rules -> 19 witnesses
- partition `primary_doctrinal_plus_empirical`: 81 rules -> 7 witnesses
- partition `axis_sensitivity`: 81 rules -> 2 witnesses

- empirical merges beyond the doctrinal layer: 70
  - gann.permanent_cycle_dates ~ gann.seasonal_time_periods [timing] co-rate 1.00 on 5066 cells
  - gann.law_of_12 ~ gann.wheel.price_to_date.monthly [timing] co-rate 0.90 on 1662 cells
  - gann.law_of_12 ~ jenkins.three_quarter_week_cycle [timing] co-rate 0.90 on 9764 cells
  - gann.law_of_12 ~ gann.master_calculator [timing] co-rate 0.90 on 39545 cells
  - gann.law_of_12 ~ gann.wheel.price_to_date.monthly.square_of_four [timing] co-rate 0.89 on 1784 cells
  - gann.law_of_12 ~ gann.seasonal_time_periods [timing] co-rate 0.89 on 8846 cells
  - gann.law_of_12 ~ gann.wheel.price_to_date.monthly.square_of_nine [timing] co-rate 0.89 on 1649 cells
  - cowan.square_of_twelve_time ~ gann.master_calculator [timing] co-rate 0.89 on 412 cells
  - gann.form_reading.fourth_test ~ stabilizing.excess_demand_ratio [direction] co-rate 0.88 on 517 cells
  - gann.master_calculator ~ gann.squaring.top.weekly [timing] co-rate 0.88 on 1049 cells
  - gann.master_calculator ~ gann.squaring.range.weekly [timing] co-rate 0.88 on 2208 cells
  - gann.form_reading.fourth_test ~ jenkins.ninety_day_trend [direction] co-rate 0.87 on 9298 cells
  - gann.law_of_12 ~ gann.time_cycles [timing] co-rate 0.85 on 42146 cells
  - gann.master_calculator ~ gann.seasonal_time_periods [timing] co-rate 0.85 on 7767 cells
  - cowan.venus_pentagonal_square ~ gann.law_of_12 [timing] co-rate 0.84 on 2929 cells
  - gann.master_calculator ~ jenkins.market_tells_you [timing] co-rate 0.84 on 7470 cells
  - cowan.venus_pentagonal_square ~ gann.master_calculator [timing] co-rate 0.84 on 2512 cells
  - gann.law_of_12 ~ gann.permanent_cycle_dates [timing] co-rate 0.81 on 7075 cells
  - gann.master_calculator ~ gann.squaring.range.daily [timing] co-rate 0.78 on 1903 cells
  - gann.law_of_12 ~ nirenstein.three_body_alignment [timing] co-rate 0.78 on 835 cells
  - gann.form_reading.fourth_test ~ nirenstein.wave_superposition [direction] co-rate 0.75 on 2724 cells
  - gann.form_reading.trend_lines ~ stabilizing.excess_demand_ratio [direction] co-rate 0.74 on 1148 cells
  - gann.seasonal_time_periods ~ gann.squaring.range.weekly [timing] co-rate 0.74 on 485 cells
  - gann.seasonal_time_periods ~ gann.squaring.top.weekly [timing] co-rate 0.74 on 250 cells
  - gann.master_calculator ~ nirenstein.three_body_alignment [timing] co-rate 0.73 on 751 cells
  - jenkins.ninety_day_trend ~ woods.campaign_statistics [direction] co-rate 0.73 on 634 cells
  - gann.master_calculator ~ gann.squaring.top.daily [timing] co-rate 0.72 on 3095 cells
  - jenkins.ninety_day_trend ~ woods.normal_reaction [direction] co-rate 0.71 on 2059 cells
  - cowan.venus_pentagonal_square ~ gann.seasonal_time_periods [timing] co-rate 0.70 on 589 cells
  - cowan.venus_pentagonal_square ~ jenkins.market_tells_you [timing] co-rate 0.70 on 552 cells
  - gann.permanent_cycle_reversal ~ jenkins.ninety_day_trend [direction] co-rate 0.70 on 363 cells
  - gann.form_reading.fourth_test ~ gann.permanent_cycle_reversal [direction] co-rate 0.70 on 228 cells
  - gann.seasonal_time_periods ~ jenkins.market_tells_you [timing] co-rate 0.70 on 1677 cells
  - nirenstein.wave_superposition ~ wyler.kinetic_energy [direction] co-rate 0.68 on 267 cells
  - pickell_daniel.market_scale_weights ~ stabilizing.excess_demand_ratio [direction] co-rate 0.66 on 1264 cells
  - gann.law_of_12 ~ nelson.planetary_confluence [timing] co-rate 0.65 on 7188 cells
  - jenkins.market_tells_you ~ jenkins.three_quarter_week_cycle [timing] co-rate 0.65 on 2231 cells
  - gann.law_of_12 ~ helmholtz.sympathetic_resonance [timing] co-rate 0.64 on 4083 cells
  - gann.halfway_retracement ~ woods.normal_reaction [price_level] co-rate 0.63 on 488 cells
  - jenkins.ninety_day_trend ~ wyler.momentum_state [direction] co-rate 0.62 on 338 cells
  - gann.angles_pitched ~ jenkins.ninety_day_trend [direction] co-rate 0.61 on 244 cells
  - gann.law_of_12 ~ gann.weekly_reaction_timing [timing] co-rate 0.61 on 2210 cells
  - gann.form_reading.overbalance ~ jenkins.ninety_day_trend [direction] co-rate 0.61 on 768 cells
  - gann.squaring.top.daily ~ jenkins.three_quarter_week_cycle [timing] co-rate 0.60 on 645 cells
  - gann.seasonal_time_periods ~ jenkins.three_quarter_week_cycle [timing] co-rate 0.60 on 1960 cells
  - moore.breakout_entry ~ nirenstein.wave_superposition [direction] co-rate 0.59 on 535 cells
  - gann.squaring.range.daily ~ jenkins.three_quarter_week_cycle [timing] co-rate 0.59 on 575 cells
  - nirenstein.wave_superposition ~ woods.weekly_sequence [direction] co-rate 0.59 on 286 cells
  - gann.squaring.range.weekly ~ jenkins.three_quarter_week_cycle [timing] co-rate 0.58 on 655 cells
  - cowan.venus_pentagonal_square ~ jenkins.three_quarter_week_cycle [timing] co-rate 0.58 on 492 cells
  - gann.squaring.top.weekly ~ jenkins.three_quarter_week_cycle [timing] co-rate 0.58 on 283 cells
  - gann.law_of_12 ~ nirenstein.polar_ellipse [timing] co-rate 0.57 on 4735 cells
  - jenkins.ninety_day_trend ~ moore.breakout_entry [direction] co-rate 0.57 on 2024 cells
  - jenkins.three_quarter_week_cycle ~ nirenstein.three_body_alignment [timing] co-rate 0.57 on 205 cells
  - gann.master_calculator ~ gann.permanent_cycle_dates [timing] co-rate 0.56 on 6186 cells
  - gann.law_of_12 ~ nirenstein.node_projection [timing] co-rate 0.56 on 1862 cells
  - gann.seasonal_time_periods ~ gann.squaring.top.daily [timing] co-rate 0.55 on 738 cells
  - gann.seasonal_time_periods ~ gann.squaring.range.daily [timing] co-rate 0.55 on 447 cells
  - gann.option_life_thirds ~ gann.weekly_reaction_timing [timing] co-rate 0.54 on 1762 cells
  - gann.weekly_reaction_timing ~ martin.correction_duration_fifths [timing] co-rate 0.54 on 747 cells
  - jenkins.ninety_day_trend ~ woods.weekly_sequence [direction] co-rate 0.54 on 1038 cells
  - cowan.venus_pentagonal_square ~ gann.squaring.top.daily [timing] co-rate 0.53 on 387 cells
  - gann.law_of_12 ~ nirenstein.master_partitions [timing] co-rate 0.53 on 27496 cells
  - jenkins.ninety_day_trend ~ stabilizing.excess_demand_ratio [direction] co-rate 0.52 on 925 cells
  - gann.squaring.range.weekly ~ gann.time_cycles [timing] co-rate 0.52 on 2291 cells
  - gann.squaring.top.weekly ~ gann.time_cycles [timing] co-rate 0.51 on 1066 cells
  - gann.time_cycles ~ jenkins.market_tells_you [timing] co-rate 0.51 on 7878 cells
  - gann.law_of_12 ~ martin.correction_duration_fifths [timing] co-rate 0.50 on 9733 cells
  - gann.form_reading.trend_lines ~ gann.permanent_cycle_reversal [direction] co-rate 0.50 on 456 cells
  - gann.seasonal_time_periods ~ gann.time_cycles [timing] co-rate 0.50 on 8266 cells

## events by order (primary partition, pooled channels)
- order 1: 830,365
- order 2: 21,286
- order 3: 400
- order 4+: 2

## the three in-ledger nulls, pooled (primary partition)
- order 1: n=830,365 realised 0.2566 prior 0.2766 lift -2.00pp | best-member lift -0.37pp (event-best -1.62pp) | all-right 0.2566 vs prod-marginal 0.2867 (excess -3.01pp)
- order 2: n=21,286 realised 0.1832 prior 0.0800 lift +10.32pp | best-member lift -0.32pp (event-best +10.64pp) | all-right 0.1832 vs prod-marginal 0.0652 (excess +11.79pp)
- order 3: n=400 realised 0.2650 prior 0.1913 lift +7.37pp | best-member lift +0.20pp (event-best +7.17pp) | all-right 0.1475 vs prod-marginal 0.0147 (excess +13.28pp)
- order 4+: n=2 realised 0.0000 prior 0.0944 lift -9.44pp | best-member lift -24.95pp (event-best +15.51pp) | all-right 0.0000 vs prod-marginal 0.0032 (excess -0.32pp)
- order 2+: n=21,688 realised 0.1847 prior 0.0820 lift +10.27pp | best-member lift -0.31pp (event-best +10.58pp) | all-right 0.1825 vs prod-marginal 0.0643 (excess +11.82pp)

## events by order (doctrinal partition (before empirical merges), pooled channels)
- order 1: 650,348
- order 2: 179,349
- order 3: 18,950
- order 4+: 3,406

## the three in-ledger nulls, pooled (doctrinal partition (before empirical merges))
- order 1: n=650,348 realised 0.2594 prior 0.2730 lift -1.36pp | best-member lift -0.52pp (event-best -0.84pp) | all-right 0.2594 vs prod-marginal 0.2819 (excess -2.25pp)
- order 2: n=179,349 realised 0.1910 prior 0.0895 lift +10.16pp | best-member lift +0.09pp (event-best +10.07pp) | all-right 0.1910 vs prod-marginal 0.0845 (excess +10.66pp)
- order 3: n=18,950 realised 0.2727 prior 0.2154 lift +5.73pp | best-member lift +0.42pp (event-best +5.30pp) | all-right 0.1554 vs prod-marginal 0.0232 (excess +13.22pp)
- order 4+: n=3,406 realised 0.2410 prior 0.0899 lift +15.11pp | best-member lift -0.36pp (event-best +15.47pp) | all-right 0.1480 vs prod-marginal 0.0057 (excess +14.23pp)
- order 2+: n=201,705 realised 0.1995 prior 0.1013 lift +9.83pp | best-member lift +0.11pp (event-best +9.71pp) | all-right 0.1870 vs prod-marginal 0.0774 (excess +10.96pp)

## witness composition (primary partition)
- cole.accumulation_levels: 72 rules
- hambidge.continued_reciprocal: 3 rules
- jenkins.root_root_trailing_stop: 2 rules
- singletons: gann.phase_inversion, nirenstein.sensitive_numbers, sepharial.kabalism_of_cycles, shirk.five_audited_cycles

## families, defined ex ante (century, real ledger)
- volume_participation: n=31,611 pooled lift +1.10pp; 7/7 member rules positive (surrogate pricing: surrogate_report.md)
- date_keyed: n=271,770 pooled lift -0.31pp; 7/18 member rules positive (surrogate pricing: surrogate_report.md)
- wheel: n=76,179 pooled lift -0.95pp; 1/6 member rules positive (surrogate pricing: surrogate_report.md)
- cycle_spectral: n=656,954 pooled lift -0.77pp; 4/18 member rules positive (surrogate pricing: surrogate_report.md)
- whole_system: n=1,464,422 pooled lift -0.36pp; 38/80 member rules positive (surrogate pricing: surrogate_report.md)

## label shuffle (density artifact baseline)
- seed 0: order2+ n=25,135 lift +11.20pp (event-best +11.23pp)
- seed 1: order2+ n=25,148 lift +10.94pp (event-best +11.22pp)
- seed 2: order2+ n=24,950 lift +11.68pp (event-best +11.20pp)
- seed 3: order2+ n=25,225 lift +10.78pp (event-best +11.19pp)
- seed 4: order2+ n=25,107 lift +11.31pp (event-best +10.84pp)

