The phrase "a further tilt" is correct and usable in written English.
It can be used when discussing an additional change in position, angle, or perspective, often in a metaphorical sense.
Example: "The recent policy changes represent a further tilt towards more progressive measures in our organization."
Alternatives: "an additional shift" or "a further adjustment".
There seems to have been a further tilt towards Narendra Modi, the tough-guy candidate of the Bharatiya Janata Party, beloved of investors and despised by India's traditional posh elite.
A further tilt in the direction of idealism is apparent in his rejection of the traditional definition of truth as an agreement of things with thoughts, on the ground that the copy (the thought) cannot be compared with the original (the thing).
The trouble is that because the income tax is mainly paid by high-income families, it's hard to cut it without mainly helping those families (although Mr. Bush made a gratuitous further tilt toward the rich by slashing marginal rates mainly at the top, while leaving the marginal rate on most middle-income taxpayers unchanged).
Saracens had one further tilt but Robshaw swung a boot in to disrupt a ruck and Clifford was away, setting up Horwill at the other end in the last minute.
The floors are tilted, and can further tilt according to a dancer's needs.
To admit Hun Sen's Cambodia, even after a "decent interval", might appear to condone this month's brutality and further tilt ASEAN's internal balance towards the authoritarians.
Before his death, Nixon sensed the Party's further tilt to the right.
"With high unemployment rates, why further tilt the playing field in favor of jobs in low-tax countries?" she wrote.
"Obviously, this would further tilt the tables in favor of corporations in our political campaigns," said Bill Samuel, the A.F.L.-C.I.O.'s legislative director.
We should recognise that fortune smiled both ways: but with not too much further tilt in the balance towards England, Australia could have lost 4-1 and 3-1 would not have been unrealistic.
Even more frightening: Imagine if any of our remaining Supreme Court justices either dies or retires while Cruz is in office, giving him the opportunity to further tilt the balance of the Court.
