Unfortunetly, this is not a half-step gearing pattern. The 24t chainring does give you gears down into 23 gear inches. But there should be a zig-zag pattern of large chainring - small chainring - large chainring - small chainring as you move up (or down) through your cogs on the freewheel. That is the part that is missing. This works ok but there are overlaps and repeated gears.





Do you want half-step gearing? Some of us like it, some don't.

Here is the same chart with @Classtime 's gearing. You will notice there are only five cogs on the freewheel but even with less gears you have a nice shift pattern and better ratios.




You can see how evenly spaced the each gear combination is and that the shift pattern is relatively easy to figure out. And Classtime kept your chain rings so you would only need to get a 5 speed freewheel.