No need. Mazda's published ratios are very likely wrong. I recall there was a last minute ratio change for US market ... not sure.I'll see if I can tape it tonite and show you.
We can back check the ratios by just checking speed at rpm, say speeds at 4k rpm in 1-3, 3k in 4 and 5, and 2k in 6th. Assuming stock 18" tires.