Have you tried using -starting on C:1313123131312?So basically 3 on black keys and 1-2 on the natural semitones (E-F, B-C)
What rolfman has come up with is indeed genius! The fingering he has experimented with and has found is actually much easier to use than the "traditional" or "standard" method. (The "standard" method is actually much easier on the mind but not so easy on the fingers.)To this end, I severely disagree that you should keep the fourth finger on the same keys. This is the easy-on-the-mind aproach, an aproach that causes many playing flubs, in all senses of the word.I say it's genius because I, too, use a similar fingering. And I originally learned chromatic scale fingering with the "standard" method. It occurred to me that the excess repetition of the same fingers required excess motions and I started to experiment with easier, faster, more efficient means of playing chromatic scales. And the results were similar to rolfman's. Unbelievably easy, though getting to this point required much time experimenting.
Anyways, generations of people have used this fingering without flubs, and if you can't use it without flubs,
What about Liszt's suggestion?
This is perhaps true but just because something has been done a certain way for a long time doesn't mean it's the most effective way of doing it. Take the "standard" way of fingering scales, for example. Clearly not the easiest or effective but who would know if they have never been given an alternative or tried an alternative?
About Liszt's fingering, it is most effective played with the "cat-stroking" touch