purlJam

<planning>
1. **Design Strategy**:
   - V-neck raglan, cropped, long sleeve, fingering weight, 3mm needles
   - Female adult, bust 101cm (approx 39.75"), with 15cm (approx 6") positive ease
   - Target finished bust = 101 + 15 = 116cm (approx 45.75") → this is a generous/oversized ease, placing us in L/XL territory
   - Deep ribbed cuffs and hem: 15cm each
   - Italian bind off on ALL edges (neck, cuffs, hem)
   - V-neck construction: requires working flat briefly or using a specific cast-on method for the V
   - Beginner-friendly language despite some complexity
   - Single size pattern (not multi-size, since user specified one size)
   - Ribbed neckband, sleeve cuffs, hem band

2. **Construction Plan**:
   - Top-down raglan, worked in the round with V-neck
   - V-neck top-down raglan: start at the center front V-point, work back and forth briefly OR use the common method of casting on at center back neck and working back-and-forth to create V, then join in the round
   - More accurately for a V-neck top-down raglan: 
     * Cast on a small number of stitches at the back neck
     * Work back and forth, increasing at raglan lines AND at center front for the V
     * Once V is complete, join in the round
     * Continue raglan increases until armhole depth is reached
     * Separate sleeves, work body down
     * Work sleeves down with decreases
     * All edges: deep 15cm ribbing, Italian bind off
   
   - V-neck raglan approach detail:
     * Start with back neck stitches only
     * Work short rows / back-and-forth section to shape V
     * Place markers for 4 raglan lines
     * Center front starts with 0-2 stitches, increases by 2 every RS row (M1L and M1R at center front) to create V shape
     * Also increase at all 4 raglan lines (8 inc total per RS row during flat section)
     * When V reaches desired depth, join in round
     * Continue raglan increases (no more center front increases once joined)

   - Gauge: Fingering weight on 3mm needles
     * Typical gauge for fingering/3mm: 28-32 sts / 4" (10cm) and 36-40 rows / 4"
     * I'll use 30 sts = 4" (10cm) and 38 rows = 4" (10cm) as working gauge
     * Let me be more precise: 30 sts per 10cm, 40 rows per 10cm
     * Per cm: 3 sts/cm, 4 rows/cm

3. **Quality Assurance**:
   - V-neck top-down raglan for beginners is somewhat complex. I need to simplify the instructions while keeping accuracy.
   - Italian bind off requires live stitches in 2x2 or 1x1 rib — need to ensure the rib count works with Italian BO
   - Italian BO works best with 1x1 rib (k1, p1). For 2x2 rib, it's trickier. I'll use 2x2 rib for visual appeal but note Italian BO setup.
   - Actually, Italian BO works with 1x1 rib naturally. For 2x2 rib, you need to work a transition row or use a different approach. Let me use 1x1 rib for simplicity and Italian BO compatibility, or 2x2 with a transition. 
   - Actually let me use 2x2 rib for the deep 15cm sections (looks better) and do a tubular/Italian BO — this requires a "setup" where you work the last 2 rows as 1x1 rib. I'll note this.
   - Actually, for a beginner pattern, let me use 2x2 rib and then specify switching to 1x1 rib for last 4 rows before Italian BO. This is cleaner.
   - Wait — Italian bind off is specifically for 1x1 rib. For 2x2 rib you'd use a tubular bind off. These are actually the same thing colloquially often called "Italian bind off." Let me clarify: Italian/tubular bind off works on 1x1 rib. I'll use 2x2 rib for the body of the ribbing and switch to 1x1 rib for 4 rows at the end before binding off. This gives the best of both worlds.
   - Cropped length: Typically a cropped jumper hits at or just above the natural waist or high hip. For a comfortable crop, let's say the body length (below underarm) = approx 25-28cm (10-11"). With 15cm of that being rib, we have 10-13cm of stockinette above the rib.
   - Wait, the bottom cuff is the hem — "deep cuff and bottom cuff, 15cm" — so the hem rib is 15cm deep. And sleeve cuffs are also 15cm. The neck rib should be proportional — maybe 3-5cm for neck?
   - For a cropped sweater: total body length (underarm to hem) might be around 30-35cm total. With 15cm hem rib, that leaves 15-20cm of stockinette body. That works for a crop.
   - Sleeve length: For full-length sleeve with 15cm cuff rib. Total sleeve from underarm: typical full sleeve ~45cm. With 15cm cuff, 30cm stockinette before cuff.

4. **Final Calculations**:

**Gauge**: 30 sts = 10cm (3 sts/cm), 40 rows = 10cm (4 rows/cm) in stockinette

**Finished measurements**:
- Bust: 116cm (101 + 15cm ease)
- Total circumference: 116cm
- Total sts for body: 116cm × 3 sts/cm = 348 sts (round to nearest even number compatible with raglan: need divisible by 4 for ease of working, and the number needs to work with the raglan setup)
- Let me round to 348 sts. That's 174 sts front, 174 sts back? No, for a raglan: front + back + 2 sleeves + 4 raglan sts (or 0 extra, just markers)

**Raglan structure**:
- Body sts = front + back (each approx 1/4 of total circumference... wait, no)
- For raglan: back ≈ 1/3, front ≈ 1/3, each sleeve ≈ 1/6 of total initially at underarm
- Actually total body circumference at underarm = front body + back body = roughly 2/3 of total
- Each sleeve at underarm ≈ 1/3 of total

Let me think about this differently for the finished sweater:

**Finished bust (total circumference)**: 116cm
- Front body: 58cm = 58 × 3 = 174 sts
- Back body: 58cm = 174 sts
- Total body: 348 sts

**Sleeve circumference at upper arm**: Typically about 40-45% of bust circumference for a comfortable fit
- Upper arm circumference = let's say 40cm (comfortable for ~32-35cm actual arm)
- Sleeve sts at upper arm: 40cm × 3 = 120 sts

**Yoke/raglan calculations**:
When separating sleeves from body:
- Body sts: 348
- Each sleeve: 120 sts
- Plus underarm cast-on sts (typically 1-2cm each side): 1cm × 3 = ~6 sts each side → let's say 8 sts per underarm
- Total at underarm separation: 348 body + 120×2 sleeves + 4 raglan markers (no extra sts) + 8×2 underarm = ?

Wait, let me restructure. In top-down raglan:

At the point of separating sleeves:
- Front sts + Back sts = body sts
- Sleeve sts × 2
- We add underarm cast-ons when separating

Let me work backward from finished measurements:

**At underarm separation point**:
- Front sts: ~174 (half of 348 total body circumference)
- Back sts: ~174
- Each sleeve: ~120 sts (but these will grow during the sleeve section with underarm sts)
- Underarm cast-on: ~8 sts each side (1.3cm ≈ 4 sts each side of gap = 8 total per side? Let me use 6 sts per underarm)

Actually for raglan, the sleeve stitches at separation already include a good portion, and you add a few underarm stitches. Let me set:
- Each sleeve at separation: 110 sts (before adding underarm)
- Underarm sts added: 8 each side
- Sleeve total for working in round: 110 + 8 = 118 sts → round to 120 for even number

**V-neck raglan setup (top-down)**:

For V-neck, I'll use the standard approach:
- Cast on back neck stitches only
- Work back and forth with raglan increases + center front V increases
- Join in round when V is complete

**Back neck width**: Typically about 1/3 of total back width, or about 15-17cm
- Back neck sts: 16cm × 3 = 48 sts

**Raglan setup at CO**:
- Back neck: 48 sts
- Raglan "seam" sts: typically 1 st each (4 total), or just markers
- Left back raglan marker, sleeve sts, right back raglan marker (etc.)
- Initial sleeve sts: 8-12 sts each at cast on
- Front: 0 sts at start (V-neck, increases from center)

Let me use a clean setup:

**Cast on**: Back neck 48 sts
- Setup: 
  - 1 st (right raglan) | 10 sts (right sleeve) | 1 st (left raglan) | 48 sts (back) | 1 st (right raglan) | 10 sts (left sleeve) | 1 st (left raglan)
  - Wait, this is the typical arrangement. For V-neck top-down:
  
Standard V-neck top-down raglan setup:
CO center back stitches. Arrange as: [right front | right raglan | right sleeve | left raglan | back | right raglan | left sleeve | left raglan | left front]

Actually, let me use this arrangement at cast-on:
- Left front: 1 st (provisional, will grow)
- Marker A (raglan)
- Left sleeve: 8 sts
- Marker B (raglan)  
- Back: 48 sts
- Marker C (raglan)
- Right sleeve: 8 sts
- Marker D (raglan)
- Right front: 1 st

Total cast on for flat section: 1 + 8 + 48 + 8 + 1 = 66 sts (plus 4 markers)

Actually, for a V-neck raglan worked flat initially:
The center front is open. We cast on back neck sts and some sleeve sts, then work back and forth, increasing at:
1. All 4 raglan lines (8 inc per RS row = 4 raglan markers × 2)
2. Center front: 2 inc per RS row (1 each side of center) OR at each end of row (1 each end)

Wait for the V-neck: the front stitches at center front start at 0 and grow. The V shape is created by adding stitches at each front edge every RS row. So both ends of the flat section grow.

Let me reconsider the setup more carefully:

The rows worked flat are to form the V. The depth of the V determines how many rows we work flat.

**V-neck depth**: For a flattering V-neck, typically 8-12cm depth from top shoulder point. Let's say 10cm V depth.
- Rows to work flat: 10cm × 4 rows/cm = 40 rows = 20 RS rows

During these 20 RS rows:
- Each front edge gains 20 sts (1 per RS row at each end)
- Each raglan line gains stitches too

Front sts at join: 20 sts each side = 40 sts total front
- But we want front total = ~174 sts at underarm
- So front needs to gain: 174 - 40 = 134 more sts from raglan increases during in-round section

Hmm, let me reconsider. Maybe the V depth should be different, or the front increases happen faster.

Actually wait — let me reconsider the V-neck approach for beginner knitters. 

A simpler approach for beginners doing V-neck top-down raglan:
1. Cast on ALL neck stitches including front, using a specific V-neck method
2. Work in the round with a center front marker and decrease at center (for the V)

But that's not really how it works structurally.

Let me use the most beginner-friendly approach:
- Cast on back neck + sleeve sts + minimal front sts
- Work FLAT for V-neck section (RS/WS rows)
- Join in round once V is complete
- Continue raglan increases in round

Let me recalculate more carefully:

**Key measurements for this garment**:

Gauge: 30 sts / 10cm (3 st/cm), 40 rows / 10cm (4 rows/cm)

Finished bust: 116cm → body circumference
Finished upper sleeve: ~40cm → sleeve circumference
Finished length underarm to hem: ~30cm (crop) total — but 15cm is rib, so 15cm stockinette body
Finished sleeve length (underarm to cuff end): 45cm — 15cm rib cuff = 30cm stockinette sleeve
V-neck depth: ~10cm
Back neck width: ~16cm (comfortable)
Armhole depth: ~22cm (this needs to work with the sleeve upper arm measurement)

Let me verify armhole depth:
- Upper sleeve circumference: 40cm → radius = ~6.4cm → diameter = ~13cm. Hmm that's too geometric.
- Actually armhole depth for a raglan is typically measured as the length of the raglan line, not the traditional armhole.
- For a 116cm bust, armhole depth (from shoulder to underarm) ≈ 22-24cm. Let's use 22cm.
- Rows for yoke (raglan section): 22cm × 4 rows/cm = 88 rows = 44 rounds (since we inc every other round)
- But we work flat for ~20 rows first (V-neck section), leaving 44-20 = 24 rounds of increases in-round
- Plus 20 rows flat = 10 RS rows of increases flat
- Total increase rounds: 10 (flat RS rows) + 24 (in round) = 34 increase rounds

Hmm, this means each raglan line gets 34 increases × 2 = 68 sts added per line (from both sides = 34 from each side)

Wait, in a standard raglan:
- Each raglan line: M1L before marker + M1R after marker = 2 sts added at each marker per increase round
- 4 markers = 8 sts per increase round
- After 34 increase rounds: 8 × 34 = 272 sts added total

**Starting stitch counts**:

At CO (flat section):
- Back: 48 sts
- Each sleeve: 8 sts
- Each front: 1 st
- Total: 48 + 8 + 8 + 1 + 1 = 66 sts

After flat section (10 RS rows = 10 increase rounds):
- 8 sts added per increase round × 10 = 80 sts added from raglan
- 1 st added each end of RS row × 10 = 10 sts added to each front from end increases
- Back: 48 + (10×2) = 48 + 20 = 68 sts
- Each sleeve: 8 + (10×2) = 8 + 20 = 28 sts
- Each front: 1 + 10 (end increases) + 10 (raglan increases from marker) = 1 + 10 + 10 = 21 sts
  Wait: the front edge increases (at end of flat rows) are separate from raglan increases. 
  
  Actually for each front during flat section:
  - Raglan increases at the inner front marker: each front gains 1 st per RS row from inner raglan = 10 sts
  - End of row increase (front edge): each front gains 1 st per RS row = 10 sts
  - Starting 1 st + 10 (raglan) + 10 (edge) = 21 sts each front after flat section

Total after flat section: 68 + 28×2 + 21×2 = 68 + 56 + 42 = 166 sts

After in-round section (24 more increase rounds):
- Each section gets 24×2 = 48 more sts from raglan increases
- Back: 68 + 48 = 116 sts
- Each sleeve: 28 + 48 = 76 sts
- Each front: 21 + 48 = 69 sts

Hmm wait, that doesn't seem right. Let me reconsider.

In the IN-ROUND section, there are no more front-edge increases (those were just for the V). So:
- Back: 68 + (24 × 2) = 68 + 48 = 116 sts ✓
- Each sleeve: 28 + (24 × 2) = 28 + 48 = 76 sts ✓  
- Front (total, both sides together): 42 + (24 × 2) = 42 + 48 = 90 sts ✓

But wait — for a v-neck in the round, after joining, there's a center front gap. The two front halves (21 sts each) are joined and we work in round... but with a V neck, the center front has no stitches. We'd need to pick up or the V-neck ribbing is worked separately.

Let me reconsider the V-neck construction. There are two main methods:

**Method A**: Work flat for V depth, then join in round. The center front remains open as the V. Neck rib is added afterward by picking up around the entire neckline.

**Method B**: Cast on all stitches including front, with center front stitch, work in round with a central double decrease (ssk, k1, k2tog) at center front every other round to create the V shape.

For a beginner, Method B (all-in-one-round with front decreases) might actually be more confusing because you're increasing for raglan AND decreasing for V simultaneously.

Method A is more logical to understand for beginners.

Let me go with Method A and simplify:

After completing the flat V-neck section and joining in round, I need front + back to eventually equal ~174 sts each (for 116cm bust).

Let me back-calculate:
- Target front sts at underarm: 174 sts (but actually, for a v-neck, front = back = 174 sts makes the total 348 for the body)
- Wait, the v-neck doesn't affect the front stitch count at the underarm — by the time we separate sleeves, the front and back should each be half the body circumference.

At separation:
- Front: 174 sts
- Back: 174 sts
- Each sleeve: ~90 sts (before underarm cast-on)
- Underarm cast-on: 8 sts each side

Sleeve at start of working in round: 90 + 8 = 98 sts
Upper arm: 98 sts / 3 = 32.7cm → Hmm, that's a bit narrow for a 40cm upper arm target.

Let me reassess the sleeve stitch count. Actually, for the sleeve, I want:
- Target upper arm circumference: ~40cm
- Target sts: 40 × 3 = 120 sts
- Of those, 8 come from underarm cast-on, so sleeve sts at separation: 112 sts

Let me increase the starting sleeve count or total increase rounds.

Let me restart the calculation with fixed targets:

**FIXED TARGETS**:
- Body circumference: 116cm → 348 sts total body
- Front: 174 sts, Back: 174 sts
- Each sleeve at separation: 112 sts (+ 8 underarm = 120 total)
- V-neck depth: 10cm → 40 rows worked flat = 20 RS rows (20 increase rows in flat section)
- Raglan increases: every RS row (flat) and every other round (in round) — same rate

**Working backward from separation to find starting counts and in-round increase rounds**:

After flat section (20 RS rows of increases):
- From raglan alone: each section gains 20 × 2 = 40 sts
- Front edge: each front half gains 20 sts (1 per RS row at each end)

From initial CO to separation:
Total increase rounds needed per section: (174 - back_start) / 2 for back, etc.

Let me set:
- Back start: 48 sts → needs 174 - 48 = 126 more sts → 63 increase rounds
- Each sleeve start: 12 sts → needs 112 - 12 = 100 more sts → 50 increase rounds
- Each front start: 1 st → needs 174 - (1 + 20 front-edge-inc) = 174 - 21 = 153 more sts from raglan → 76.5 rounds... that can't be right

The problem is that back and front get the same number of raglan increases (both inside markers), so:
- Back: 48 + (n × 2) = 174 → n = 63 increase rounds
- Each sleeve: 12 + (n × 2) = 112 → n = 50 increase rounds  
- Front (each half, from raglan only): 1 + 20(edge) + (n × 1) = 87 → n = 66

These don't add up — the raglan increases all happen simultaneously, so n must be the same for all sections. The discrepancy means my starting numbers are off.

In a raglan, each section gets EQUAL raglan increases. So if we do n total increase rounds:
- Back gains: n × 2 sts
- Each sleeve gains: n × 2 sts  
- Each front (from raglan): n × 1 sts (only one marker on each front piece during flat section, then 2 markers per front half during in-round)

Hmm wait. Let me reclarify raglan increase positions:

In a raglan arrangement: [front | M | sleeve | M | back | M | sleeve | M | front]
Reading left to right: RF | MA | RS | MB | Back | MC | LS | MD | LF

Increases at each marker:
- MA: M1L in RF, M1R in RS (RF gains 1, RS gains 1)
- MB: M1L in RS, M1R in Back (RS gains 1, Back gains 1)
- MC: M1L in Back, M1R in LS (Back gains 1, LS gains 1)
- MD: M1L in LS, M1R in LF (LS gains 1, LF gains 1)

So per increase round:
- RF (right front): +1
- RS (right sleeve): +2
- Back: +2
- LS (left sleeve): +2
- LF (left front): +1

During flat section, ALSO:
- RF gets +1 at beginning of RS row (edge increase)
- LF gets +1 at end of RS row (edge increase)

So per RS row during flat section:
- RF: +1 (edge) + 1 (raglan at MA) = +2
- RS: +2 (raglan at MA and MB)
- Back: +2 (raglan at MB and MC)
- LS: +2 (raglan at MC and MD)
- LF: +1 (raglan at MD) + 1 (edge) = +2

All sections gain 2 per increase row! Good, that's symmetric.

After flat section (20 RS increase rows):
- RF: 1 + 40 = 41 sts
- RS: 12 + 40 = 52 sts
- Back: 48 + 40 = 88 sts
- LS: 12 + 40 = 52 sts
- LF: 1 + 40 = 41 sts

After in-round section (m more increase rounds):
- RF: 41 + 2m
- RS: 52 + 2m
- Back: 88 + 2m
- LS: 52 + 2m
- LF: 41 + 2m

At separation:
Front total = RF + LF = (41 + 2m) + (41 + 2m) = 82 + 4m
Back total = 88 + 2m
Each sleeve = 52 + 2m

For front = back (needed for symmetric body):
82 + 4m = 88 + 2m
2m = 6
m = 3

Only 3 more increase rounds in round? That gives a very short yoke. And:
- Each sleeve: 52 + 6 = 58 sts
- Back: 88 + 6 = 94 sts
- Front: 82 + 12 = 94 sts ✓

Body circumference: 94 + 94 = 188 sts → 188/3 = 62.7cm. Way too small! I want 116cm.

The issue is my starting back neck count is too large relative to the V-neck flat section setup. The V-neck flat section gives the front too few increases vs. the back.

Let me reconsider. The key insight is: during the flat section, back gains 2 per RS row from raglan (one from each adjacent marker). But front gains 2 per RS row only if we count both markers + edge. The asymmetry comes from the starting counts.

Actually, wait — the issue is that front and back SHOULD have equal stitch counts at separation (both = half of body circumference). Since they gain equal stitches per increase round once we're in round, AND they gain equal stitches per RS row in the flat section, they'll only be equal at separation if they START equal. But they don't — back starts with 48 and total front starts with 1+1=2.

So after the flat section:
- Back: 48 + 40 = 88
- Total front: 2 + 40 = 42 (each half = 21)

After m in-round rounds:
- Back: 88 + 2m
- Front: 42 + 4m (since in round, both sides of front get increases)

Wait! In the in-round section:
- The two front halves are now ONE front section
- MA increases: adds 1 to RF half
- MD increases: adds 1 to LF half
- So TOTAL FRONT gains 2 per increase round (same as back)

Hmm, but then:
Front after in-round: 42 + 2m
Back after in-round: 88 + 2m

These can NEVER be equal because the difference (88-42=46) stays constant!

This is the fundamental issue with V-neck top-down raglan — the front starts with fewer stitches than the back (because the back has the full neck width, while the front starts with almost nothing for the V).

**SOLUTION**: The front MUST gain more stitches than the back during the flat section to compensate. This is why the front edge increases are critical. But we need MORE edge increases.

Actually, let me reconsider. In a V-neck raglan, the front NEVER needs to match the back stitch-for-stitch because the V-neck opening exists! The neckline is open at the front. The body stitches at the underarm are:
- Front: just the front panel stitches that will form the front of the sweater body
- Back: the back panel stitches

For a fitted body, front and back should each be about 1/2 the bust circumference. BUT — the front has a V-neck opening, which means some "front" stitches are part of the neckline, not the body.

Actually no — once we're past the yoke, the front body IS front = half circumference. The V-neck is at the neckline, which is above the separation point.

Let me think about this differently. The back and front panels, when looked at as the yoke continues, are the same at the underarm — they're both just the body fabric. The difference is only at the neck edge (top of the yoke), where front has a V and back has a higher neck.

The stitch count at underarm doesn't depend on where the neck is. The SHAPE of the raglan yoke makes the front body shorter (sloped) which naturally gives the V shape.

So ACTUALLY: in a top-down V-neck raglan, the front and back DON'T need to match at underarm (they won't, because the V-neck yoke is worked at an angle). But for the body to be symmetric, we add the UNDERARM as the joining point and at that point:
- We separate front stitches and back stitches
- The body circumference = front + back + 2× underarm cast-on

Hmm, but we need front ≈ back for the body to work out. Let me look at this from a different angle (pun intended).

**THE REAL WAY V-NECK TOP-DOWN RAGLAN WORKS**:

Actually, the difference in starting sts (back vs front) is compensated for in the final front sts by having the V-neck simply be open. The back is taller (more rows) because it has more cast-on stitches that reach up to the neck edge, while the front "starts" later (the V point). The raglan yoke slopes from the back neck down to the V point.

When we look at just the BODY stitches at underarm:
- They should be equal front and back ✓
- This works out naturally because the raglan lines slope

Here's why they work out: The yoke is worked from the back neck down. For each increase round (or RS row), both front and back gain 2 stitches. But front also gains the edge stitches (for the V shape) during the flat section. 

The key is: the front starts with fewer stitches but gains MORE per row during flat section. Over the flat section, front needs to "catch up" to roughly match back's starting count.

But as I calculated: after flat section, back = 88, front = 42. That's a 46-stitch difference. Those 46 stitches are essentially the "V neck opening width."

Once we join in round and work raglan increases, front and back each gain 2 per round, so the difference stays at 46. At underarm: back - front = 46 sts. 

For the body to be equal: we need front = back. But with this construction, front will always be 46 sts less than back.

The 46-stitch difference represents the width of the V at the body join. Those stitches at the top are the neckline opening. We're essentially making a wider front at the body... but that doesn't match.

OH WAIT. I think I've been overcomplicating this. Let me look at actual V-neck raglan patterns.

In reality, for a V-neck top-down raglan:
1. There IS a discrepancy between front and back stitches, especially in the yoke
2. The front is simply shorter (fewer rows) than the back
3. By the time we reach the underarm and separate, the FRONT panel stitch count simply equals what it equals
4. For the body to work out symmetric, we make the adjustment at the underarm (cast on extra stitches under the arm, or accept a slight asymmetry)

OR — more commonly:
1. We accept that front < back at underarm
2. The extra back stitches are the "back neck" which sits higher
3. For the body: front + back ≠ exactly even, but close enough OR we work short rows at back neck to compensate

Actually, you know what, I'm massively overthinking this. Let me look at real-world V-neck top-down raglan patterns to understand the approach.

**Standard approach for V-neck top-down raglan**:

The typical approach is:
1. Use short rows on the back to raise the back neck (optional)
2. Cast on a small number of back neck stitches + raglan and sleeve stitches
3. Work flat (RS/WS) to create the V depth
4. The front stitches grow via increases at each end of every RS row + raglan increases
5. Join and continue
6. At underarm, front WILL have fewer stitches than back
7. The solution: increase at center front in-round to compensate, OR accept the difference

MOST PATTERNS: 
- Set up with back neck CO
- Work flat for V depth with increases all around
- Join in round, add center front cast-on stitches to close the bottom of the V
- OR: the V is simply left open (the neck opening) and the front body stitches are what they are at the underarm separation

Looking at this practically: if back has 46 more stitches than front at underarm, that's 46/3 = 15.3cm width difference. That means the body would be 15cm narrower at the front — that doesn't work for a garment.

I think the resolution is: the "extra" back stitches ARE the back neck rise, not extra body width. When you look at it 3-dimensionally, the raglan yoke slopes so the back is higher than the front. The stitch counts at the underarm aren't purely "front vs back" - they incorporate the yoke slope.

For this to work with a proper body shape, we need the front and back body stitches to be equal at underarm. The way to achieve this:

**Solution**: Increase the starting front stitches more aggressively, or use a different V-neck construction.

**SIMPLER SOLUTION for this pattern**: 

Use the "German short row" or "wrap and turn" method for back neck, then use a provisional CO approach, or just use this clean approach:

Start with a **provisional cast-on for the entire neck edge** (including front), shape the V with decreases at center front on the yoke, and separate sleeves normally. This is actually Method B I mentioned earlier!

**METHOD B REVISED (center front decreases)**:

Cast on: All stitches for the neckline, both front and back
- Use the number of stitches that would be the full neckline circumference
- Place center front marker
- Work in round with: raglan increases + center front double decrease (cdd or ssk+k2tog) every 2 rounds to create V

This creates a V while working in round, and is actually easier for beginners!

Neckline CO for Method B:
- This is worked like a crew neck but with front decreases
- Cast on for a fairly wide opening

Hmm, but this gives a crew-neck-width cast-on, which isn't right for a V-neck.

OK let me just look at this pragmatically and design a CLEAN, CORRECT pattern:

**FINAL DECISION: Use the back-and-forth flat section method (Method A), but with a balanced calculation.**

The key insight I was missing: in a V-neck raglan pattern, the front and back DON'T need to match exactly at the underarm for the body to be symmetric. Here's why:

When we separate at the underarm:
- We put sleeve stitches on hold
- We cast on underarm stitches
- The body begins working in the round

The front and back CAN be different stitch counts at separation if we want a straight body, but we'd need to increase on front to compensate. OR:

We plan so that by underarm, front = back. 

To make front = back at underarm, we need more increases on the front during the flat section. Specifically, we can do:
- 2 increases per RS row at each front edge (not just 1)
- OR use a different cast-on for center front

**CLEANEST BEGINNER-FRIENDLY APPROACH**:

Let me use this approach which is common in published patterns:

1. Cast on back neck sts using long-tail CO
2. On the same needle, pick up and CO for sleeves and minimal front sts
3. Work flat with increases until V depth
4. Join, continue in round until underarm
5. At underarm, the front WILL have fewer stitches — compensate by casting on MORE underarm stitches at front, or accept a slight difference (many patterns do this and it works fine for the body circumference measurement at the front)

Actually, let me just try a FULLY DIFFERENT and MUCH SIMPLER approach for a beginner:

**SIMPLEST V-NECK RAGLAN (BEGINNER-FRIENDLY)**:

Work like a crew neck but: 
1. CO more front stitches (to account for the V shaping)
2. Work short rows to create V shape while in the round
3. Continue raglan increases

No wait, let me just do the ACTUAL MATH CORRECTLY for Method A:

Target at underarm separation:
- Front: 174 sts (I'll accept this won't be exactly equal to back, and will adjust)
- Back: 174 sts
- Each sleeve: 100 sts (let's try this)
- Underarm CO: 10 sts each side

Let me find starting sts and number of increase rows to hit these targets.

During flat section (20 RS rows, since V depth = 10cm, 4 rows/cm = 40 rows = 20 RS rows):
Each section gains 2 per RS row.
At end of flat: 
- Back: B_start + 40
- Each sleeve: S_start + 40
- Total front: F_start + 40 (where F_start = small number, say 2 total)

During in-round section (m rounds of increases, every other round):
Each section gains 2 per increase round.
- Back: (B_start + 40) + 2m = 174 → B_start = 134 - 2m
- Each sleeve: (S_start + 40) + 2m = 100 → S_start = 60 - 2m
- Total front: (F_start + 40) + 2m = 174 → F_start = 134 - 2m

For front to equal back: F_start = B_start → same! Both = 134 - 2m
But F_start should be small (for V-neck) and B_start should be the back neck width.

If F_start = 2 (one stitch each side for V):
134 - 2m = 2 → m = 66

That means 66 in-round increase rounds! That's a LOT.
Check: back start = 134 - 2(66) = 134 - 132 = 2 sts. That's only 2 sts for back neck — way too few.

This confirms the fundamental math issue: for a V-neck, the front starts with much fewer sts than the back, and they CANNOT both equal the target body stitch count at the same time with the same number of increase rounds.

**THE REAL RESOLUTION**: 

In practice, for V-neck top-down raglans, the front DOES have fewer stitches than back at underarm. The solution:

1. At the underarm, add different numbers of underarm stitches: more under the front armhole, fewer under the back armhole? No, that's weird.

2. OR: work in-round increases at center front (shaping increases) AFTER joining, to bring front up to match back.

3. OR: The most common approach — simply have front < back and accept a slight fit asymmetry that's not noticeable in practice. The extra back stitches create the back neck ease.

4. OR: increase front stitches during the flat section faster than 1 per RS row.

**I think option 4 is the answer for a proper pattern**:

During the flat section, increase at each front edge TWICE per RS row:
- RS: k1-fb at start AND increase again (yo or M1) near start
- No that's clunky

OR: use a LONGER V-neck that requires more flat rows, giving the front more time to accumulate sts.

OR: start with more front stitches (not 1 each, but more).

Let me try a different set of starting numbers:

Say the V-neck depth is 15cm (deeper V = more flat rows = more front increases):
- Flat rows: 15cm × 4 = 60 rows = 30 RS rows of increases
- Each section gains 30 × 2 = 60 sts during flat section

Targets at underarm:
- Back: 174
- Front: 174  
- Each sleeve: 100

After flat (30 RS rows):
- Back: B_start + 60 = 174 → B_start = 114 — too many for a back neck? 114/3 = 38cm back neck. Standard is about 16-17cm. 

Hmm, still not working right.

Let me try FIXED back neck start = 48 sts (16cm) and see what front ends up being:

With 48 back neck sts:
- After flat section (20 RS rows): back = 48 + 40 = 88
- Need: 88 + 2m = 174 → 2m = 86 → m = 43 in-round increase rounds
- Each sleeve start: S_start + 40 + 2(43) = 100 → S_start = 100 - 40 - 86 = -26 ??? That's negative!

OK so with 43 in-round increase rounds, sleeves would be way too big.

I think the issue is my target sleeve count (100) is too small relative to back neck start (48). Let me adjust:

With back neck = 48, m = 43:
- Each sleeve at underarm: S_start + 40 + 86 = S_start + 126
- For sleeve at underarm to be reasonable (say 100 sts): S_start = 100 - 126 = -26 (impossible)

For sleeve at underarm of 200 sts: S_start = 74. OK so with m=43, sleeves would be HUGE (200+ sts). 

This means 43 in-round rounds creates too many sleeve stitches. Need to reduce m.

What if I increase the starting sleeve stitches?

The fundamental constraint:
Back: 48 + 2×20 + 2m = 174 → m = 43
Sleeve: S_start + 2×20 + 2×43 = sleeve_at_underarm → sleeve = S_start + 40 + 86 = S_start + 126

If S_start = 12: sleeve at underarm = 138. That's a very wide upper arm (46cm). Too wide?

Hmm. Let me reconsider my target body circumference. 

116cm = 348 total sts body. That means 174 each for front and back at underarm. Each "front" or "back" is half the circumference. For a 116cm circumference sweater, that seems right.

But the issue is: the raglan yoke needs a certain depth to accommodate the sleeve width, and with fingering weight and these proportions, the numbers should work out.

Let me calculate: if each sleeve at underarm = 138 sts = 138/3 = 46cm upper arm circumference. For a 116cm bust with 15cm ease, 46cm upper arm might be ok for an oversized sweater, but it's quite roomy.

Maybe I should reduce the ease or the overall target. Let me reconsider.

**What if I use a different proportioning method?**

Let me look at what real fingering-weight patterns do and work backward:

For a fingering weight (30sts/10cm) sweater with 116cm finished bust:
- Neck CO: ~80-90 stitches total for yoke start
- Raglan increases to get to underarm

If total CO at yoke = 84 sts (typical for a crew neck), and we do 44 increase rounds (raglan):
- Total added sts: 44 × 8 = 352 sts
- Final yoke sts: 84 + 352 = 436 sts
- Distributed: back ≈ 116 sts, front ≈ 116 sts, each sleeve ≈ 88 sts... but that's 116+116+88+88 = 408. Hmm.

Let me recalculate. In a raglan, the increases happen AT the markers, not in the middle of sections. Let me set up differently:

Starting yoke (crew neck typical):
- Back neck: 48 sts
- Each sleeve: 12 sts
- Front: 48 sts (same as back for crew neck)
- Raglan markers: 4 markers (use 1 st each = 4 sts)
Total: 48+12+12+48 + 4 = 124 sts

After n increase rounds (each adds 8 sts):
- Back: 48 + 2n
- Each sleeve: 12 + 2n
- Front: 48 + 2n
Total: 124 + 8n

For body = 348 sts (front + back) after separating sleeves:
(48+2n) × 2 = 348 → 48+2n = 174 → 2n = 126 → n = 63

Each sleeve at separation: 12 + 2(63) = 12 + 126 = 138 sts = 46cm. Still 46cm. 

Hmm, 138 sts for a sleeve seems like A LOT for fingering weight, but let me check:
- 46cm upper arm circumference → this is actually quite roomy for a person with a 101cm bust
- Actual upper arm measurement for someone with 101cm bust might be around 30-35cm
- 46cm upper arm gives 11-16cm ease at upper arm → quite generous for a raglan

But actually, in a raglan sweater, the sleeve/yoke proportions are what they are — you can't independently control sleeve width AND body width without changing the yoke geometry.

ACTUALLY — wait. The number of increase rounds is determined by the body width, BUT we can start with more or fewer sleeve stitches to hit a different target sleeve width. The raglan increases always add 2 sts to sleeve AND 2 sts to body (each). So sleeve and body are linked.

The solution in real patterns: 
- Accept that sleeve width is determined by raglan geometry
- Use a taper in the yoke (different increase rates) or
- Adjust sleeve separately after the yoke

OR: Use a different target. Let me reconsider what finished measurements make sense:

For a 116cm bust, 44 in-round increases would give:
- Back: 48 + 88 = 136 sts = 45.3cm. With front same: 136×2 = 272 sts = 90.7cm. Too small for 116cm.

I think for 116cm body, we NEED n=63 increase rounds, which gives 46cm sleeves. This is actually fine for a top-down raglan — the sleeve then gets decreased significantly. The 46cm upper arm in a raglan is typical for this size garment.

Now, for the V-neck version, let me just accept the construction and move on:

**FINAL APPROACH FOR V-NECK (simplified for beginner)**:

I'll use a construction where the V-neck is shaped with a TEMPORARY flat section of 10cm (20 RS rows), after which we join in round. The starting stitch counts will be:

From the back-calculation:
- Back start: 48 sts → at underarm after 20 flat RS rows + m in-round rounds: 48 + 40 + 2m
- Need this = 174: m = 43 in-round increase rounds

Now for the front:
- Front starts with: F_start each side (1 st each = 2 total)
- After flat: F_start + 40 = 42 (with 1 each side start)
- After in-round: 42 + 2(43) = 42 + 86 = 128 sts

So front = 128, back = 174. Difference = 46 sts.

Body circumference: 128 + 174 = 302 sts = 100.7cm. But I wanted 116cm!

The difference between what I want (116cm = 348 sts body) and what I get (302 sts) is 46 sts = 15.3cm. This is exactly the V-neck discrepancy.

This actually makes PERFECT SENSE physically: the V-neck opening is 46 sts wide at the top, and the front body is 46 sts less than the back because those stitches are the neck opening, not the body.

For the BODY to be symmetric (front = back), I need to account for this. The trick: **the V-neck opening stitches don't disappear — they're picked up later for the neckband, and the front neck EDGE stitches are just the neckline opening.**

For the BODY CIRCUMFERENCE: The body circumference is measured at the fullest part (bust), and both front and back contribute to it. If front = 128 and back = 174, the body is 302 sts = 100.7cm. That's not 116cm!

But wait — the WEARER's body fits inside the sweater, and the neckline is ABOVE the bust. At the underarm/bust level, we need the full 348 sts. The V-neck doesn't reduce stitches at the bust level.

So the issue is real: the V-neck construction as described gives a smaller front panel. The solution is one of:
1. Add more increase rounds in-round to bring front up (but that makes back too big)
2. Add center front increases (shaping) after joining in round
3. Use a combination: more in-round rounds + accept slightly larger back

OR the simplest solution that many real patterns use:

**ACTUALLY THE REAL SOLUTION**: In a V-neck raglan, front and back CAN'T be equal if you start with different CO sts. Professional patterns handle this by either:
a) Working **short rows** at back neck to compensate (the back is worked extra before the front is cast on)
b) Accepting front < back and using asymmetric underarm stitches
c) Starting with additional front stitches using a backward loop cast-on at center front

The approach I'll use for a clean beginner pattern:

**FINAL DECIDED APPROACH**: 

Use the **separate cast-on for front method**:
1. Cast on back neck stitches: 48
2. Work back and forth flat with raglan + sleeve + FRONT increases, but also **add front stitches more aggressively** using M1 at each front end every row (every RS AND WS row), not just RS

OR more simply: just make the V-neck shallower so the front has more time in round to accumulate stitches.

OR: **Use the most common published approach** where the pattern tells you exactly what to do and the math works out:

**Cast on: 60 stitches** for the initial setup (back neck + sleeves + initial front sts)
Work flat for V-neck shaping: X rows
Join in round
Work Y more increase rounds

Let me find X and Y such that:
- Back at underarm = 174
- Front at underarm ≈ 174 (close enough, we'll adjust with underarm)
- Sleeve at underarm = suitable for the arm

If I start with:
- Back: 48 sts
- Each sleeve: 12 sts  
- Each front: 24 sts (so front starts with a wider cast-on, accounting for v-neck shape)
Total CO: 48 + 12 + 12 + 24 + 24 = 120 sts (plus 4 raglan markers)

During flat section (X RS rows):
- Each section +2 per RS row from raglan
- Each front +1 per RS row from edge increases
Wait, if front starts with 24 sts, the edge increases are different...

You know what, I've been massively overthinking this. Let me just look at this from the perspective of what WORKS in practice and create a clean pattern.

**FINAL FINAL APPROACH - SIMPLE AND CORRECT**:

For this beginner pattern, I'll use the following V-neck top-down construction that avoids the mathematical complexity:

**Cast on at back neck only (48 sts) using long-tail cast-on.**
Work flat (back and forth) for the V-neck depth, increasing at ALL raglan lines AND at both ends of every RS row.

At the join, the front stitches will be less than back. **AT THE JOIN**, cast on additional front stitches using backward loop cast-on to bring front up to match back (approximately). This is a common technique.

So at join point after flat section:
- Front (each half): 41 sts → total 82 sts
- Need front = 174 at underarm (same as back)
- Back at join: 88 sts
- At join, cast on for front neck: 174 - 88 = 86 sts? No that can't be right.

Wait, I'm confusing stitch counts again. At the join point (after 20 RS rows):
- Back: 88
- Total front: 82
- Back - Front = 6 sts (if I've done 20 RS rows with both gaining equally)

Oh wait! I made an error earlier. Let me redo:

During flat section, in each RS row:
- Back gains: +1 from marker MB (left of back) + 1 from marker MC (right of back) = +2 ✓
- Each sleeve gains: +1 from left marker + 1 from right marker = +2 ✓
- Right front gains: +1 from marker MA (right of right front) + 1 at beginning of row (edge) = +2 ✓
- Left front gains: +1 from marker MD + 1 at end of row (edge) = +2 ✓

So EVERYONE gains +2 per RS row! That means:
- Back: 48 + 2×20 = 88
- Total front: (1+1) + 2×20 = 2 + 40 = 42 ← NO WAIT

The right front gains +2 per RS row. But right front STARTS with 1 st.
After 20 RS rows: 1 + 20×2 = 41 sts
Left front: 1 + 20×2 = 41 sts
Total front: 82 sts

Back: 48 + 20×2 = 88 sts
Difference: 88 - 82 = 6 sts. OK so it's only 6 stitches difference!

But wait, earlier I said the back-front difference stays constant through in-round increases. So at underarm:
Front = 82 + 2m
Back = 88 + 2m
Difference stays 6 sts forever!

So the actual difference is only 6 sts (2cm), not 46! I made a major arithmetic error before. Let me see where I went wrong earlier...

OH. Earlier I said "Total front: F_start + 40" where F_start = 2. That's 2 + 40 = 42. And back = 48 + 40 = 88. Difference = 46.

But WAIT: the +40 in the flat section comes from 20 RS rows × 2 = 40 added to each piece. So:
- Front pieces (each half): 1 + 40 = 41 → total 82
- Back: 48 + 40 = 88
- Difference: 88 - 82 = 6

The difference is 6, not 46! I was confused about "per piece" vs "total." The front has TWO pieces (right and left), each gaining +2 per RS row. So total front gains +4 per RS row? No...

No: total front in terms of stitches: starts with 2 (1+1). Each RS row adds 4 to total front (2 edge + 2 raglan = +2 to right front + 2 to left front = +4 total per RS row)?

NO. Let me be very careful:

Per RS row (during flat section):
- Edge increase at BEGINNING of row: +1 to RIGHT FRONT
- Raglan increase at MA (between right front and right sleeve): +1 to RIGHT FRONT, +1 to RIGHT SLEEVE
- Raglan increase at MB (between right sleeve and back): +1 to RIGHT SLEEVE, +1 to BACK
- Raglan increase at MC (between back and left sleeve): +1 to BACK, +1 to LEFT SLEEVE
- Raglan increase at MD (between left sleeve and left front): +1 to LEFT SLEEVE, +1 to LEFT FRONT
- Edge increase at END of row: +1 to LEFT FRONT

Per RS row totals:
- Right front: +2 (1 edge + 1 raglan at MA)
- Right sleeve: +2 (1 from MA + 1 from MB)
- Back: +2 (1 from MB + 1 from MC)
- Left sleeve: +2 (1 from MC + 1 from MD)
- Left front: +2 (1 from MD + 1 edge)

TOTAL per RS row: +10 sts (2+2+2+2+2)

After 20 RS rows:
- Right front: 1 + 40 = 41
- Right sleeve: 12 + 40 = 52
- Back: 48 + 40 = 88
- Left sleeve: 12 + 40 = 52
- Left front: 1 + 40 = 41
Total front: 82
Total stitches at join: 41 + 52 + 88 + 52 + 41 = 274

During in-round increases (per increase round = every other round):
Per increase round (in round):
- At MA: +1 to right front, +1 to right sleeve
- At MB: +1 to right sleeve, +1 to back
- At MC: +1 to back, +1 to left sleeve
- At MD: +1 to left sleeve, +1 to left front
Total per increase round: +8 sts

Per section per increase round:
- Right front: +1
- Right sleeve: +2
- Back: +2
- Left sleeve: +2
- Left front: +1
Total front per increase round: +2

So after m in-round increase rounds:
- Total front: 82 + 2m
- Back: 88 + 2m
- Each sleeve: 52 + 2m

Difference between back and total front: 88 - 82 = 6 sts, constant.

So the front is ALWAYS 6 stitches less than the back. That's only 2cm difference. That's acceptable! Many patterns have this slight difference, and it's usually compensated in the underarm cast-on (casting on 3 more sts at front than back, or just ignoring it).

GREAT. So the construction DOES work, with only a small 6-stitch discrepancy. 

Now: target front = back ≈ 174 sts at underarm:
- Back: 88 + 2m = 174 → 2m = 86 → m = 43 in-round increase rounds
- Total front: 82 + 2(43) = 82 + 86 = 168 sts
- Each sleeve: 52 + 2(43) = 52 + 86 = 138 sts

Underarm cast-on: to compensate front vs back difference and close the underarm gap:
- Add 3 sts at front underarm (to compensate 6 st difference = 3 each side)
- Add 6 sts at back underarm (standard ease)
OR just add 8 sts each side for simplicity and accept 168 vs 174 → body at bust = 168 + 174 + 8 + 8 (underarm) = wait, that's not how it works.

At separation:
Total sts: 274 + 43×8 = 274 + 344 = 618 sts total
- Front: 168 sts (both halves together after join)
- Back: 174 sts
- Right sleeve: 138 sts
- Left sleeve: 138 sts
Total: 168 + 174 + 138 + 138 = 618 ✓

Now at separation:
- Body: front 168 + back 174 + cast-on underarm sts
- Each sleeve: 138 + cast-on underarm sts

For body circumference 348 sts (for 116cm):
168 + 174 + underarm_CO×2 = 348
342 + underarm_CO×2 = 348
underarm_CO × 2 = 6
underarm_CO = 3 sts each side

That's a very small underarm cast-on (3 sts = 1cm). That's fine for a raglan!

Actually, in raglan, the underarm doesn't need to be big. Standard is 2-8 sts.

So:
- Cast on 3 sts each underarm = 6 total underarm CO
- Body: 168 + 174 + 3 + 3 = 348 sts ✓ → 116cm ✓

Each sleeve after join: 138 + 3 = 141 sts? Hmm, odd number. Let me adjust.

Actually wait. In a raglan, when separating sleeves:
- Left sleeve stitches: held on waste yarn (138 sts)
- Cast on underarm stitches (let's say 6 sts)
- Continue with front + back + underarm sts for body

Each sleeve LATER gets worked: 138 held sts + 6 picked-up underarm sts = 144 sts

Let me try casting on 6 sts at each underarm:
Body: 168 + 174 + 6 + 6 = 354 sts = 118cm. A bit more than 116cm, that's fine.
Each sleeve: 138 + 6 = 144 sts

144 sts = 48cm upper arm circumference. That's quite wide but for an oversized sweater with 15cm ease, it might be OK. Let me check: if the wearer has a 101cm bust, their upper arm might be ~31-33cm. So 48cm upper arm = 15-17cm upper arm ease. That IS a lot.

Hmm. Let me see if I can reduce the sleeve width without changing the body. In a raglan, you can't do this independently. But I COULD adjust my target body circumference down, or accept the proportions.

Alternative: reduce body circumference target.

What if I use only 10cm ease instead of 15cm?
- Finished bust: 101 + 10 = 111cm → 333 sts total body
- Each front/back: 166-167 sts

Let me try:
- Back at underarm: 88 + 2m = 167 → 2m = 79 → m = 39.5 (not whole number)

Try back = 166:
- 88 + 2m = 166 → m = 39 increase rounds

Check front: 82 + 2(39) = 82 + 78 = 160 sts
Check sleeve: 52 + 2(39) = 52 + 78 = 130 sts

Body: 160 + 166 + 6 + 6 = 338 sts = 112.7cm. OK that's about 11.7cm ease. Close to 10cm ease? Let me adjust underarm:

For exactly 111cm = 333 sts:
160 + 166 + underarm×2 = 333 → underarm×2 = 7 → not even. 

Let me try back = 168, front = 162:
Body: 162 + 168 + 4×2 = 338. Still not right.

OK I think the issue is trying to hit exact stitch counts. Let me just use practical round numbers:

**LET'S SIMPLIFY: TARGET 116cm FINISHED BUST, ACCEPT THE PROPORTIONS**

With m = 43 in-round increase rounds:
- Front: 168 sts
- Back: 174 sts
- Each sleeve: 138 sts
- Underarm CO: 3 each (6 total added)
- Body: 168 + 174 + 3 + 3 = 348 sts = 116cm ✓
- Each sleeve: 138 + 3 = 141 sts = 47cm upper arm

The 47cm upper arm for a raglan is actually typical and will work. The sleeve will be decreased significantly on the way to the cuff.

Now let's figure out total yoke depth:
- Flat section: 20 RS rows = 40 rows total = 40/4 = 10cm
- In-round section: 43 increase rounds × 2 (every other round) = 86 rounds = 86/4 = 21.5cm
- Total yoke depth: 10 + 21.5 = 31.5cm

Is 31.5cm a reasonable yoke depth for this size? For a 116cm bust sweater, armhole depth should be about 20-23cm. Hmm, 31.5cm is a bit deep. Let me check:

Actually, "yoke depth" for a raglan is different from armhole depth. The yoke depth measures from the top of the neckline down to the underarm. 31.5cm might be OK for a larger garment. A standard armhole depth for size L (116cm finished