Lesson 09 · The receipt

9 The receipt

Read G1's complete account, then reduce B3 alone and name the cause of every residual without silently correcting the paper.

Bench B3Stage 1 of 2 · Independent practice
Independent practice

B3 · Buenos Aires

Nothing is filled. Reduce the bench on the permanent form.

0 of 36 lines checked0%
Permanent reduction formParts A–F

  1. Birth date, civil

    active line

    Why Retaining A1 makes its contribution traceable in the final receipt.

    Tolerance · exact

  2. Clock time, 24-hour

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  3. Summer time in force?

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    Rule if Y subtract 1h · older war time may be 2h · stated on the bench

  4. Standard time = A2 − A3

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  5. Zone offset from Greenwich

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    Rule West add · East subtract

  6. Universal Time = A4 + A5

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    Rule if 24h or more subtract 24h and move A7 forward a day · if below 0 add 24h and move A7 back

  7. UT date

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    Rule may differ from A1 · every plate row is read on this date

  8. Plate GST at midnight (0h UT) on the A7 date

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    Rule read from the ephemeris row for A7

  9. Interval since 0h = A6

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  10. Acceleration = B2 × 9.86 s per hour

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    Magnitude check · always under 4 minutes

  11. Greenwich sidereal time at birth = B1 + B2 + B3

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    Rule carry at 60

  12. Longitude in time = longitude × 4 min per degree

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    Rule East add · West subtract

  13. Local sidereal time = B4 + B5

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    Rule if 24h or more subtract 24h

  14. Southern hemisphere?

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    Rule if Y add 12h to B6 and normalise · this is the table entry

  15. Table rows bracketing B7: lower ST, upper ST

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    Rule rows are 4 minutes apart

  16. Fraction f = (B7 − lower) in seconds ÷ 240

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    Magnitude check · always between 0 and 1

  17. MC: lower, upper, difference, × f, + lower

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    Rule the same for every latitude

  18. Latitude rows bracketing the birth: lower, upper; fraction g

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    Rule table rows are 1° apart

  19. 11 12 ASC 2 3 as columns: at the lower latitude, at the upper latitude, then by g

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    Rule a column that looks unlike its neighbours is the column with the mistake

  20. Southern? Reverse every sign on C3 and C5

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    Rule degrees and minutes unchanged

  21. Opposites: IC = MC + 180, DSC = ASC + 180, 5 6 8 9 = 11 12 2 3 + 180

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    Rule same degree and minute, opposite sign

  22. Sun: this midnight, next midnight, motion, × A6 ÷ 24, position

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    Rule negative motion is retrograde, write R · a negative travel subtracts

  23. Moon: this midnight, next midnight, motion, × A6 ÷ 24, position

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    Rule negative motion is retrograde, write R · a negative travel subtracts

  24. Mercury: this midnight, next midnight, motion, × A6 ÷ 24, position

    waiting

    Rule negative motion is retrograde, write R · a negative travel subtracts

  25. Venus: this midnight, next midnight, motion, × A6 ÷ 24, position

    waiting

    Rule negative motion is retrograde, write R · a negative travel subtracts

  26. Mars: this midnight, next midnight, motion, × A6 ÷ 24, position

    waiting

    Rule negative motion is retrograde, write R · a negative travel subtracts

  27. Jupiter: this midnight, next midnight, motion, × A6 ÷ 24, position

    waiting

    Rule negative motion is retrograde, write R · a negative travel subtracts

  28. Saturn: this midnight, next midnight, motion, × A6 ÷ 24, position

    waiting

    Rule negative motion is retrograde, write R · a negative travel subtracts

  29. Uranus: this midnight, next midnight, motion, × A6 ÷ 24, position

    waiting

    Rule negative motion is retrograde, write R · a negative travel subtracts

  30. Neptune: this midnight, next midnight, motion, × A6 ÷ 24, position

    waiting

    Rule negative motion is retrograde, write R · a negative travel subtracts

  31. Pluto: this midnight, next midnight, motion, × A6 ÷ 24, position

    waiting

    Rule negative motion is retrograde, write R · a negative travel subtracts

  32. True Node: this midnight, next midnight, motion, × A6 ÷ 24, position

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    Rule negative motion is retrograde, write R · a negative travel subtracts

  33. Cusps on the wheel. ASC at the left, houses counterclockwise, C11 filled

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  34. Bodies into houses by comparing D5 with the cusps

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    Rule note any body within 1° of a cusp

  35. Aspectarian: the five Ptolemaic aspects, applying or separating from motion

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    Rule orbs as on the free transits surface

  36. Receipt: paper, Moira, Δ, cause for every computed line

    waiting
Moira Craft School

Blank permanent A–F reduction form

Part ATime

LineOperation and ruleWorkingResult
A1Birth date, civil
A2Clock time, 24-hour
A3Summer time in force?if Y subtract 1h · older war time may be 2h · stated on the bench
A4Standard time = A2 − A3
A5Zone offset from GreenwichWest add · East subtract
A6Universal Time = A4 + A5if 24h or more subtract 24h and move A7 forward a day · if below 0 add 24h and move A7 back
A7UT datemay differ from A1 · every plate row is read on this date

Part BSidereal time

LineOperation and ruleWorkingResult
B1Plate GST at midnight (0h UT) on the A7 dateread from the ephemeris row for A7
B2Interval since 0h = A6
B3Acceleration = B2 × 9.86 s per hourCheck: always under 4 minutes
B4Greenwich sidereal time at birth = B1 + B2 + B3carry at 60
B5Longitude in time = longitude × 4 min per degreeEast add · West subtract
B6Local sidereal time = B4 + B5if 24h or more subtract 24h
B7Southern hemisphere?if Y add 12h to B6 and normalise · this is the table entry

Part CAngles and cusps

LineOperation and ruleWorkingResult
C1Table rows bracketing B7: lower ST, upper STrows are 4 minutes apart
C2Fraction f = (B7 − lower) in seconds ÷ 240Check: always between 0 and 1
C3MC: lower, upper, difference, × f, + lowerthe same for every latitude
C4Latitude rows bracketing the birth: lower, upper; fraction gtable rows are 1° apart
C511 12 ASC 2 3 as columns: at the lower latitude, at the upper latitude, then by ga column that looks unlike its neighbours is the column with the mistake
C10Southern? Reverse every sign on C3 and C5degrees and minutes unchanged
C11Opposites: IC = MC + 180, DSC = ASC + 180, 5 6 8 9 = 11 12 2 3 + 180same degree and minute, opposite sign

Part DBodies

LineOperation and ruleWorkingResult
D:sunSun: this midnight, next midnight, motion, × A6 ÷ 24, positionnegative motion is retrograde, write R · a negative travel subtracts
D:moonMoon: this midnight, next midnight, motion, × A6 ÷ 24, positionnegative motion is retrograde, write R · a negative travel subtracts
D:mercuryMercury: this midnight, next midnight, motion, × A6 ÷ 24, positionnegative motion is retrograde, write R · a negative travel subtracts
D:venusVenus: this midnight, next midnight, motion, × A6 ÷ 24, positionnegative motion is retrograde, write R · a negative travel subtracts
D:marsMars: this midnight, next midnight, motion, × A6 ÷ 24, positionnegative motion is retrograde, write R · a negative travel subtracts
D:jupiterJupiter: this midnight, next midnight, motion, × A6 ÷ 24, positionnegative motion is retrograde, write R · a negative travel subtracts
D:saturnSaturn: this midnight, next midnight, motion, × A6 ÷ 24, positionnegative motion is retrograde, write R · a negative travel subtracts
D:uranusUranus: this midnight, next midnight, motion, × A6 ÷ 24, positionnegative motion is retrograde, write R · a negative travel subtracts
D:neptuneNeptune: this midnight, next midnight, motion, × A6 ÷ 24, positionnegative motion is retrograde, write R · a negative travel subtracts
D:plutoPluto: this midnight, next midnight, motion, × A6 ÷ 24, positionnegative motion is retrograde, write R · a negative travel subtracts
D:trueNodeTrue Node: this midnight, next midnight, motion, × A6 ÷ 24, positionnegative motion is retrograde, write R · a negative travel subtracts

Part EFigure and aspects

LineOperation and ruleWorkingResult
E1Cusps on the wheel. ASC at the left, houses counterclockwise, C11 filled
E2Bodies into houses by comparing D5 with the cuspsnote any body within 1° of a cusp
E3Aspectarian: the five Ptolemaic aspects, applying or separating from motionorbs as on the free transits surface

Part FReceipt

LineOperation and ruleWorkingResult
FReceipt: paper, Moira, Δ, cause for every computed line

Part F · continuationPaper-to-Moira discrepancy account

Retain the paper value; record Moira, the signed delta, and one cause from the fixed vocabulary.
LinePaperMoiraΔCause / notes
A4
A5
A6
A7
B1
B2
B3
B4
B5
B6
B7
C1
C2
C3
C4
C5
C10
C11
D:sun
D:moon
D:mercury
D:venus
D:mars
D:jupiter
D:saturn
D:uranus
D:neptune
D:pluto
D:trueNode
E2
E3

Blank permanent A–F reduction form · tropical zodiac · Placidus houses