New Scottish tax rates vs old

TL;DR

Winners:

• Those earning £11,500 to £33,000
• Those earning £43,527 to £58,461

Losers:

• Those earning £33,000 to £43,527
• Those earning £58,461 and up

Anomaly between £33,000 and £43,000

The two new bands introduced to the Scottish income tax system will indeed give some relief to those earning £11,500 to £33,000. But, in absolute terms, it will also give a greater benefit to those earning £33,000 to £43,000:

In relative terms, the benefit is greater to those earning £11,500 to £33,000:

Why has this happened? The reason is that two new tax bands have been added:

So let's add a missing row to the table in the BBC article:

Next Conservatives leader - What the bookies think (2016-06-30 update)

Odds given across various bookmakers (10bet, 32red, 888sport, bet365, betdaq, betfair, betfred, betvictor, betway, boylesports, bwin, coral, ladbrokes, marathon bet, matchbook, netbet, paddypower, skybet, sportingbet, stanjames, totesport, unibet, williamhill, winner) are meaned and then inverted to give the rough chance bookies as a gestalt reckon each candidate has.

Theresa May takes the lead.

Position	Candidate	Chance implied by odds	Change (since 2016-06-26)	Notes
1	Theresa May	52.64%	+22.50%	Remain
2	Boris Johnson	25.31%	-29.01%	Leave
3	Michael Gove	24.65%	+17.80%	Leave
4	Andrea Leadsom	8.33%	-2.22%
5	Stephen Crabb	6.48%	-2.40%	Remain
6	Liam Fox	3.78%	-3.02%	Leave
7	Jeremy Hunt	2.19%	+0.38%	Remain
-	Justin Tomlinson	1.49%	+0.01%	Books closed on 2016-06-29
-	Patrick McLoughlin	1.49%	0.00%	Books closed on 2016-06-28
8	Nicky Morgan	1.39%	-0.82%	Remain
9	Priti Patel	1.26%	-2.31%	Leave
10	Jacob Rees-Mogg	1.09%	-1.97%	Leave
11	George Osborne	1.06%	-2.01%	Remain
12	David Davis	0.99%	-0.94%	Leave
-	James Duddridge	0.99%	0.00%	Books closed on 2016-06-28
-	Stuart Jackson	0.99%	0.00%	Books closed on 2016-06-28
-	Edward Timpson	0.99%	0.00%	Books closed on 2016-06-28
-	Mark Pawsey	0.99%	0.00%	Books closed on 2016-06-28
-	Phillip Lee	0.99%	0.00%	Books closed on 2016-06-28
-	Greg Hands	0.99%	0.00%	Books closed on 2016-06-28
-	Philip Davies	0.99%	0.00%	Books closed on 2016-06-28
13	Nigel Farage	0.99%	0.00%
-	Nicola Blackwood	0.99%	0.00%	Books closed on 2016-06-28
-	Louise Mensch	0.99%	0.00%	Books closed on 2016-06-28
13	Jo Johnson	0.99%	-0.33%	Remain
-	Andrew Percy	0.99%	0.00%	Books closed on 2016-06-28
-	Bob Stewart	0.99%	0.00%	Books closed on 2016-06-28
-	Daniel Kawcynski	0.99%	0.00%	Books closed on 2016-06-28
-	Andrew Rosindell	0.99%	0.00%	Books closed on 2016-06-28
-	Guy Opperman	0.99%	0.00%	Books closed on 2016-06-28
-	Karen Bradley	0.99%	0.00%	Books closed on 2016-06-28
-	James Cleverly	0.99%	0.00%	Books closed on 2016-06-28
-	Hugh Robertson	0.99%	0.00%	Books closed on 2016-06-28
-	Oliver Heald	0.99%	0.00%	Books closed on 2016-06-28
-	Robert Goodwill	0.99%	0.00%	Books closed on 2016-06-28
-	Christopher Pincher	0.99%	0.00%	Books closed on 2016-06-28
-	Helen Grant	0.99%	0.00%	Books closed on 2016-06-28
-	Mark Menzies	0.99%	0.00%	Books closed on 2016-06-28
-	David Jones	0.99%	0.00%	Books closed on 2016-06-28
-	Jim Paice	0.99%	0.00%	Books closed on 2016-06-28
-	Johnny Mercer	0.99%	0.00%	Books closed on 2016-06-28
-	Mary Macleod	0.99%	0.00%	Books closed on 2016-06-28
-	Heidi Allen	0.99%	0.00%	Books closed on 2016-06-28
-	Michael Ashcroft	0.99%	0.00%	Books closed on 2016-06-28
-	Stephen Barclay	0.99%	0.00%	Books closed on 2016-06-28
-	Liz Kendall	0.99%	0.00%	Books closed on 2016-06-28
-	Bob Blackman	0.99%	0.00%	Books closed on 2016-06-28
-	Gavin Barwell	0.99%	0.00%	Books closed on 2016-06-28
-	Caroline Noakes	0.99%	0.00%	Books closed on 2016-06-28
-	Jonathan Lord	0.99%	0.00%	Books closed on 2016-06-28
-	Laurence Robertson	0.99%	0.00%	Books closed on 2016-06-28
15	Phillip Hammond	0.98%	-1.64%	Remain
16	Sajid Javid	0.95%	-1.02%	Remain
17	Ruth Davidson	0.86%	-1.77%	Remain
18	Dominic Raab	0.80%	-2.57%	Leave
19	Rory Stewart	0.74%	-0.44%	Remain
20	Penny Mordaunt	0.73%	-0.67%	Leave
21	Iain Duncan Smith	0.72%	-0.74%	Leave
22	Chris Grayling	0.71%	-1.52%	Leave
23	Daniel Hannan	0.69%	-0.37%	Leave
24	Michael Fallon	0.69%	-0.37%	Remain
25	Jesse Norman	0.65%	-0.47%
26	Amber Rudd	0.64%	-0.79%	Remain
27	Graham Brady	0.61%	-0.69%	Leave
28	Liz Truss	0.59%	-0.98%	Remain
29	Zac Goldsmith	0.57%	-0.52%
30	Owen Paterson	0.56%	-1.41%
31	Anna Soubry	0.54%	-0.60%	Remain
32	William Hague	0.53%	-0.08%
33	Theresa Villiers	0.52%	-0.31%
34	Kwasi Kwarteng	0.52%	-0.20%
35	Justine Greening	0.50%	-0.54%	Remain
-	Iain Dale	0.50%	0.00%	Books closed on 2016-06-28
-	Peter Bone	0.50%	0.00%	Books closed on 2016-06-28
-	Sheryll Murray	0.50%	0.00%	Books closed on 2016-06-28
-	Jonathan Sheppard	0.50%	0.00%	Books closed on 2016-06-28
-	Andrew Strauss	0.50%	0.00%	Books closed on 2016-06-28
-	David Morris	0.50%	0.00%	Books closed on 2016-06-28
-	Michael Fabricant	0.50%	0.00%	Books closed on 2016-06-28
-	Marcus Jones	0.50%	0.00%	Books closed on 2016-06-28
-	Michael Winstanley	0.50%	0.00%	Books closed on 2016-06-28
-	Tim Montgomerie	0.50%	0.00%	Books closed on 2016-06-28
36	Adam Afriyie	0.49%	-0.96%
37	Ken Clarke	0.47%	-0.05%
38	Robert Halfon	0.47%	-0.51%
39	Chloe Smith	0.47%	-0.08%
40	Sam Gyimah	0.46%	-0.10%
41	Mark Harper	0.45%	-0.31%
42	Nick Herbert	0.44%	-0.21%
42	Nick Boles	0.44%	-0.17%
44	Greg Clark	0.43%	-0.33%
45	Edward Vaizey	0.42%	-0.49%
46	Grant Shapps	0.37%	-0.23%
47	Alan Duncan	0.37%	-0.51%
47	Oliver Letwin	0.37%	-0.01%
49	Andrew Mitchell	0.36%	-0.19%
50	Claire Perry	0.35%	-0.02%
50	Sarah Wollaston	0.35%	-0.29%
52	Maria Miller	0.33%	-0.12%
52	Francis Maude	0.33%	+0.01%
54	Dominic Grieve	0.30%	-0.07%
54	Caroline Spelman	0.30%	-0.11%
56	Matthew Hancock	0.29%	-0.43%
56	Esther McVey	0.29%	-0.28%
58	Rupert Harrison	0.23%	-0.05%
59	John Bercow	0.18%	+0.01%
60	James Wharton	0.17%	-0.19%
60	Harriet Baldwin	0.17%	-0.03%
62	Robert Buckland	0.11%	-0.09%
62	Eric Pickles	0.11%	-0.09%
62	Damian Green	0.11%	-0.09%
62	Patrick McLaughlin	0.11%	0.00%
62	Tracey Crouch	0.11%	-0.09%
62	D Willetts	0.11%	0.00%
62	Nick Gibb	0.11%	-0.09%
62	Michael Portillo	0.11%	-0.05%
62	Peter Ainsworth	0.11%	0.00%
62	Malcom Rifkind	0.11%	0.00%
62	Sir George Young	0.11%	0.00%
62	John Redwood	0.11%	-0.09%
62	John Penrose	0.11%	-0.09%
62	Shaun Bailey	0.11%	-0.09%
62	Nadine Dorries	0.11%	-0.07%
62	Andrew Lansley	0.11%	-0.10%
62	Louise Bagshawe	0.11%	0.00%
62	Mark Field	0.11%	0.00%

Next Conservatives leader - What the bookies think

Odds given across various bookmakers (10bet, 32red, 888sport, bet365, betdaq, betfair, betfred, betvictor, betway, boylesports, bwin, coral, ladbrokes, marathon bet, matchbook, netbet, paddypower, skybet, sportingbet, stanjames, totesport, unibet, williamhill, winner) are meaned and then inverted to give the rough chance bookies as a gestalt reckon each candidate has.

Position	Candidate	Chance implied by odds	Change (since 2016-06-24)	Notes
1	Boris Johnson	55.50%	-6.54%	Leave
2	Theresa May	28.67%	+2.74%	Remain
3	Andrea Leadson	11.33%	+3.28%	Leave
4	Stephen Crabb	8.59%	+3.73%	Remain
5	Michael Gove	8.49%	-4.98%	Leave
6	Liam Fox	6.07%	+1.93%	Leave
7	Priti Patel	4.48%	-1.70%	Leave
8	Dominic Raab	4.12%	+0.43%	Leave
9	George Osborne	3.27%	-0.17%	Remain
10	Phillip Hammond	2.99%	-0.70%	Remain
11	Jacob Rees-Mogg	2.81%	+0.01%	Leave
12	Ruth Davidson	2.64%	-1.22%	Remain
13	Nicky Morgan	2.55%	-0.27%	Remain
14	Sajid Javid	2.36%	-0.79%	Remain
15	Chris Grayling	2.12%	-0.54%	Leave
16	Owen Paterson	2.00%	+0.53%
17	David Davis	1.91%	-0.20%	Leave
18	Jeremy Hunt	1.86%	-0.30%	Remain
19	Michael Fallon	1.77%	+0.59%	Remain
20	Penny Mordaunt	1.53%	-0.56%	Leave
21	Iain Duncan Smith	1.53%	-0.23%	Leave
22	Patrick McLoughlin	1.49%	0.00%	Remain
23	Justin Tomlinson	1.48%	+0.49%	Leave
24	Amber Rudd	1.41%	-0.48%	Remain
25	Liz Truss	1.38%	-0.27%	Remain
26	Adam Afriyie	1.38%	+0.37%
27	Jo Johnson	1.32%	0.00%	Remain
28	Graham Brady	1.28%	-0.68%	Leave
29	Rory Stewart	1.09%	-0.26%	Remain
30	Jesse Norman	1.09%	-0.13%
31	Justine Greening	1.08%	-0.25%	Remain
32	Robert Halfon	1.01%	+0.26%
33	James Duddridge	0.99%	0.00%
33	Stuart Jackson	0.99%	0.00%
33	Edward Timpson	0.99%	0.00%
33	Mark Pawsey	0.99%	0.00%
33	Phillip Lee	0.99%	0.00%
33	Greg Hands	0.99%	0.00%
33	Philip Davies	0.99%	0.00%
33	Nigel Farage	0.99%	0.00%
33	Nicola Blackwood	0.99%	0.00%
33	Louise Mensch	0.99%	0.00%
33	Andrew Percy	0.99%	0.00%
33	Bob Stewart	0.99%	0.00%
33	Daniel Kawcynski	0.99%	0.00%
33	Andrew Rosindell	0.99%	0.00%
33	Guy Opperman	0.99%	0.00%
33	Karen Bradley	0.99%	0.00%
33	James Cleverly	0.99%	0.00%
33	Hugh Robertson	0.99%	0.00%
33	Oliver Heald	0.99%	0.00%
33	Robert Goodwill	0.99%	0.00%
33	Christopher Pincher	0.99%	0.00%
33	Helen Grant	0.99%	0.00%
33	Mark Menzies	0.99%	0.00%
33	David Jones	0.99%	0.00%
33	Jim Paice	0.99%	0.00%
33	Johnny Mercer	0.99%	0.00%
33	Mary Macleod	0.99%	0.00%
33	Heidi Allen	0.99%	0.00%
33	Michael Ashcroft	0.99%	0.00%
33	Stephen Barclay	0.99%	0.00%
33	Liz Kendall	0.99%	0.00%
33	Bob Blackman	0.99%	0.00%
33	Gavin Barwell	0.99%	0.00%
33	Caroline Noakes	0.99%	0.00%
33	Jonathan Lord	0.99%	0.00%
33	Laurence Robertson	0.99%	0.00%
69	Theresa Villiers	0.99%	-0.48%
70	Daniel Hannan	0.98%	-0.04%
71	Zac Goldsmith	0.98%	-0.39%
72	Anna Soubry	0.93%	-0.54%
73	Edward Vaizey	0.93%	-0.04%
74	Kwasi Kwarteng	0.81%	+0.21%
75	Greg Clark	0.74%	-0.29%
76	Mark Harper	0.69%	-0.87%
77	Nick Herbert	0.68%	-0.04%
78	Nick Boles	0.63%	-0.08%
79	Esther McVey	0.61%	-0.07%
79	Sam Gyimah	0.61%	-0.03%
81	William Hague	0.61%	-0.61%
82	Grant Shapps	0.60%	-0.18%
83	Chloe Smith	0.57%	-0.01%
84	Andrew Mitchell	0.56%	-0.01%
85	Ken Clarke	0.54%	-0.24%
86	Matthew Hancock	0.54%	-0.02%
87	Iain Dale	0.50%	0.00%
87	Peter Bone	0.50%	0.00%
87	Sheryll Murray	0.50%	0.00%
87	Jonathan Sheppard	0.50%	0.00%
87	Andrew Strauss	0.50%	0.00%
87	David Morris	0.50%	0.00%
87	Michael Fabricant	0.50%	0.00%
87	Marcus Jones	0.50%	0.00%
87	Michael Winstanley	0.50%	0.00%
87	Tim Montgomerie	0.50%	0.00%
97	Maria Miller	0.48%	0.00%
98	Oliver Letwin	0.43%	+0.02%
99	Alan Duncan	0.42%	0.00%
100	Caroline Spelman	0.41%	-0.19%
101	Dominic Grieve	0.37%	-0.20%
101	Claire Perry	0.37%	0.00%
101	Sarah Wollaston	0.37%	-0.31%
101	Francis Maude	0.37%	0.00%
105	Rupert Harrison	0.28%	-1.67%
106	Andrew Lansley	0.20%	-0.60%
107	James Wharton	0.20%	-0.39%
107	Robert Buckland	0.20%	-0.33%
107	Harriet Baldwin	0.20%	0.00%
107	Tracey Crouch	0.20%	0.00%
107	Nick Gibb	0.20%	0.00%
107	John Penrose	0.20%	0.00%
113	Eric Pickles	0.19%	0.00%
113	Damian Green	0.19%	0.00%
113	John Redwood	0.19%	0.00%
113	Shaun Bailey	0.19%	0.00%
117	John Bercow	0.17%	0.00%
117	Nadine Dorries	0.17%	0.00%
119	Patrick McLaughlin	0.11%	-0.16%
119	D Willetts	0.11%	0.00%
119	Michael Portillo	0.11%	-0.42%
119	Peter Ainsworth	0.11%	0.00%
119	Malcom Rifkind	0.11%	0.00%
119	Sir George Young	0.11%	0.00%
119	Louise Bagshawe	0.11%	0.00%
119	Mark Field	0.11%	-0.06%