Two corrections in two directions: base 12 swelling to 13, and pure radd with no spouse shrinking base 6 down to 3.
Case E — ‘Awl 12 → 13
Scenario. The deceased is male, survived by a wife, a mother, and 2 full sisters. There are no descendants, father, or grandfather. Net estate Rp 260,000,000.
- Status: wife 1/4 (no descendants); mother 1/6 (2+ siblings present); the 2 full sisters 2/3.
- Base 12: wife 3, mother 2, sisters 8 → total 13 > 12 → ‘awl 12 → 13.
- Rupiah: 1 share = 260m ÷ 13 = Rp 20m.
Base number: 12 → 'awl 13 Estate: Rp 260,000,000
─────────────────────────────────────────────────────────
Heirs Status Shares/12 Shares/13 Rupiah
wife 1/4 3 3 60,000,000
mother 1/6 2 2 40,000,000
full sister (1) 2/3 (8) 4 4 80,000,000
full sister (2) 4 4 80,000,000
─────────────────────────────────────────────────────────
Total 13 13 260,000,000 ✓Takeaway. Notice the mother: she drops to 1/6 because of the number of siblings present, even though the two sisters themselves do inherit (this is not a blocking case). Then ‘awl shrinks everyone proportionally — the wife who “should” get 1/4 (25%) actually receives 3/13 (≈23%).
Case F — Pure radd (no spouse)
Scenario. The deceased is female, survived by a maternal grandmother and 2 maternal half-siblings. There are no other fixed-share heirs, no ‘ashabah. Net estate Rp 90,000,000.
- Status: grandmother 1/6 (mother absent); the 2 maternal half-siblings 1/3 split evenly (kalalah).
- Base 6: grandmother 1, maternal half-siblings 2 → total 3, 3 left over, no ‘ashabah → radd.
- Radd with no spouse present (chapter 7): the sum of the furudh share units becomes the new base → base 3: grandmother 1, maternal half-siblings 2 (1 each).
- Rupiah: 1 share = 90m ÷ 3 = Rp 30m.
Base number: 6 → radd 3 Estate: Rp 90,000,000
─────────────────────────────────────────────────────────
Heirs Status Shares/6 Shares/3 Rupiah
grandmother 1/6 + radd 1 1 30,000,000
maternal half-sibling (1) 1/3 + radd ─ 1 30,000,000
maternal half-sibling (2) (even split) 2 1 30,000,000
─────────────────────────────────────────────────────────
Total 3 3 90,000,000 ✓flowchart LR
classDef proses fill:#713f12,stroke:#ca8a04,color:#fef9c3
classDef furud fill:#1e3a8a,stroke:#3b82f6,color:#dbeafe
classDef hasil fill:#3b0764,stroke:#a855f7,color:#f3e8ff
A["Base 6:<br/>furudh used 3, 3 left over"]:::proses --> B["No 'ashabah<br/>→ RADD"]:::proses
B --> C["New base = sum of furudh shares = 3"]:::furud
C --> D["Grandmother 1/3 · each maternal half-sibling 1/3<br/>(the group's 1:2 ratio is preserved)"]:::hasil
Takeaway. Radd preserves the ratio among the furudh (grandmother : maternal-half-sibling group stays 1 : 2) while making sure no property is left idle. And the maternal line stays unique to the end: the two siblings split evenly, not 2:1, because they inherit through the mother’s line (An-Nisa 12).
Sources: al-Mulakhkhash al-Fiqhi, chapter on al-‘awl and ar-radd (Shamela 11811); at-Tahqiqat al-Mardhiyyah, same chapter. Full list in 15-references.